Institute for Mathematics and its Applications University of Minnesota 400 Lind Hall 207 Church Street SE Minneapolis, MN 55455 
20062007 Program
See http://www.ima.umn.edu/20062007 for a full description of the 20062007 program on Applications of Algebraic Geometry.
The BlackwellTapia Conference, the premier national event for underrepresented mathematical sciences researchers will take place on Friday and Saturday, Nov. 3 and 4 at the IMA. A high point of the meeting will be the awarding of 2006 BlackwellTapia prize to Massey for his outstanding achievements in queuing theory, stochastic networks, modeling of communications systems, and for increasing diversity in mathematical sciences. There are over 150 participants registered to attend this event. To kick off the conference, Tapia will inspire more than 100 area high school students with his Math is Cool presentation from 1011 a.m. Friday, Nov. 3. This conference is already getting a lot of publicity and coverage by the local and national media. You can find more information about this event on the IMA BlackwellTapia conference web page.
Application deadlines: If you are interested in applying for one of the "IMA New Directions Professorship" or "Postdoctoral Fellowship" positions in connection with the 20072008 thematic program: Mathematics of Molecular and Cellular Biology, the deadline for applying for these positions is January 5, 2007. You can find the applications for these positions at our Applications site.
11:15a12:15p  Algebraic geometry and applications seminar: Equations and degenerations of the moduli space of genus zero stable curves with n marked points  Diane Maclagan (Rutgers University)  Lind Hall 409  AGS 
10:00a11:00a  Special talk: Computer assisted mathematics: Tools and tactics for solving hard problems  Daniel Lichtblau (Wolfram Research, Inc.)  Lind Hall 409  
11:15a12:15p  Real algebraic geometry tutorial: Sturm's root counting theorem and Tarski's generalization (continued)  Kenneth R. Driessel (Iowa State University)  Lind Hall 409  RAG 
7:00p8:00p  Math matters  IMA public lecture: How hard can it be?  Margaret H. Wright (New York University)  Willey Hall 125  PUB11.2.06 
12:00p2:00p  poster setup  Lind Hall 400  SW11.34.06  
1:30p2:00p  Coffee and registration  EE/CS 3176  SW11.34.06  
2:00p2:30p  Welcome and introduction  EE/CS 3180  SW11.34.06  
2:30p3:00p  From Massey to Blackwell: A study of nonstationary queueing control via sensitive optimality criteria  Mark E. Lewis (Cornell University)  EE/CS 3180  SW11.34.06 
3:00p4:15p  Panel discussion: Best practices for recruitment and retention of underrepresented minorities in the mathematical sciences  Farrah J. Chandler (University of North Carolina) Shirley M. Malcom (American Association for the Advancement of Science) David Manderscheid (University of Iowa) William Yslas Vélez (University of Arizona)  EE/CS 3180  SW11.34.06 
4:15p4:30p  coffee break  EE/CS 3176  SW11.34.06  
4:30p5:00p  Branch decomposition techniques for discrete optimization  Illya V. Hicks (Texas A & M University)  EE/CS 3180  SW11.34.06 
5:00p5:15p  Conference photo  Lind Hall 400  SW11.34.06  
5:15p6:30p  Reception and poster session  Lind Hall 400  SW11.34.06  
Discriminant analysis based on statistical depth functions  Asheber Abebe (Auburn University)  
Nonlinear interaction of light in disordered optical fiber arrays  Alejandro Aceves (University of New Mexico)  
JHU Applied Physics Lab  Aviation systems engineering group overview  Javier Armendariz (Johns Hopkins University)  
Modelling faculty teaching workload as a linear program  Kanadpriya Basu (University of South Carolina) Maria Cristina Villalobos (University of Texas Pan American)  
Texas prefreshman engineering program: Closing the gap for minorities in science and engineering  Manuel Berriozábal (University of Texas)  
Accurate computation of second order derivatives using complex variables  Nelson Butuk (Prairie View A&M University)  
Research Institute of Mathematical Sciences  Luis Enrique Carrillo Díaz (Universidad Nacional Mayor de San Marcos) Roxana LopezCruz (Universidad Nacional Mayor de San Marcos)  
A new semifield of order 3^{6}  Minerva CorderoEpperson (University of Texas)  
Clones in minors of matroids  Carla Cotwright (Wake Forest University)  
Mathematics and its application to modeling the earth's surface  Diana Dalbotten (University of Minnesota Twin Cities)  
The fixed charge network flow problem  Adewale Faparusi (Texas A & M University)  
Allee effect in an openaccess fishery model  Jose D. Flores (University of South Dakota)  
Fourier restriction problem and its relation to PDE  Cristi Darley Guevara (Arizona State University)  
Mathematical modelling at NIST: An example  Fern Y. Hunt (National Institute of Standards and Technology)  
Statistical and Applied Mathematical Sciences Institute  Christopher Jones (University of North Carolina)  
Spherical nilpotent orbits of reductive Lie groups: an overview  Donald King (Northeastern University)  
American Institute of Mathematics  Rachel Kuske (University of British Columbia)  
AWM Mentor Network  Rachel Kuske (University of British Columbia)  
Thermal stability of a reactive third grade fluid in a cylindrical pipe: An exploitation of HermitePadé approximation technique  Oluwole Daniel Makinde (University of Limpopo)  
Change in host behavior and its impact on the coevolution of dengue  David Murillo (Arizona State University)  
Error estimates between the stochastic simulation algorithm (SSA) and the tauleap method  Josue C. NoyolaMartinez (Rice University)  
Mathematical Sciences Research Institute  Kathleen O'Hara (Mathematical Sciences Research Institute)  
Progress report on the NSA mathematics enhancement grant: Developing a mathematics culture among undergraduate mathematics majors at North Carolina A&T State University  Janis Oldham (North Carolina Agricultural and Technical State University)  
Historical development of the secant method: from the Babylonians to Wolfe  Joanna Papakonstantinou (Rice University)  
Automated parameter estimation and sensitivity analysis  Carlos Andrés Quintero Salazar (University of Texas)  
Existence of traveling waves solution for a nonlocal reactiondiffusion model of influenza A  Joaquin Rivera (University of Iowa)  
An epidemiological approach to the spread of minor political parties  Daniel Romero (Arizona State University)  
Mathematical aspects of dopamine's turnover  David Tello (Arizona State University)  
Professional Science Masters programs  Sheila Tobias  
Optimal product portfolio formulation: Merging predictive data mining with analytical target cascading  Conrad Tucker (University of Illinois at UrbanaChampaign)  
Reduced basis simulation  Rachel E. VincentFinley (Rice University)  
Large circuit pairs in matroids  Bryan Williams (Hampton University)  
Algebraic characterizations of some classes of quasicyclic codes  Isaac Woungang (Ryerson Polytechnical University)  
Undergraduate, graduate, and postdoctoral opportunities at New York University  Margaret H. Wright (New York University)  
Differential elimination of PDEs by numerical algebraic geometry and numerical linear algebra  Wenyuan Wu (University of Western Ontario) 
8:30a9:00a  coffee  EE/CS 3176  SW11.34.06  
9:00a9:30a  Computation of biological flows  Ricardo Cortez (Tulane University)  EE/CS 3180  SW11.34.06 
9:30a10:10a  short talks  EE/CS 3180  SW11.34.06  
Formulating Fano's Method as an Optimization Problem to obtain Broadband Tuning Limits on UWB Antennas  Maria Cristina Villalobos (University of Texas Pan American)  
Generalized hyperbolic functions to find solitonlike solutions of the inhomogeneous higherorder nonlinear Schrödinger equation  Emmanuel Yomba (University of Minnesota Twin Cities)  
9:30a10:10a  short talks  EE/CS 3230  SW11.34.06  
EL algorithm for linear models with missing data  Nancy Glenn (University of South Carolina)  
Why should I care about Lie groups?  Edray Goins (Purdue University)  
10:20a10:40a  coffee break  EE/CS 3176  SW11.34.06  
10:40a11:40a  short talks  EE/CS 3180  SW11.34.06  
Registration of 4D CT lung images  Edward Castillo (Rice University)  
Transmission and control of seasonal and pandemic influenza  Gerardo Chowell (Los Alamos National Laboratory)  
Epidemic spread in populations at demographic equilibrium  Karen RiosSoto (Cornell University)  
10:40a11:40a  short talks  EE/CS 3230  SW11.34.06  
Probabilistic and stochastic modeling of turbulent flows  Sean C. Garrick (University of Minnesota Twin Cities)  
Asymptotics of eigenvalue clusters for Schroedinger operators on the Sierpinski gasket  Kasso Okoudjou (University of Maryland)  
Option pricing with memory  Flavia SancierBarbosa (Southern Illinois University)  
11:50a12:20p  Opportunities at the IMA and other institutes  Douglas N. Arnold (University of Minnesota Twin Cities)  EE/CS 3180  SW11.34.06 
12:20p2:00p  lunch break  SW11.34.06  
2:00p3:15p  Panel discussion on career opportunities in the mathematical sciences  Francisco Barahona (IBM Thomas J. Watson Research Center) Raymond Beaulieu (National Security Agency) Fern Y. Hunt (National Institute of Standards and Technology) Overtoun Jenda (Auburn University)  EE/CS 3180  SW11.34.06 
3:15p3:45p  coffee break  EE/CS 3176  SW11.34.06  
3:45p4:15p  Jumpdiffusions  Erhan Cinlar (Princeton University)  EE/CS 3180  SW11.34.06 
4:15p5:00p  Dynamical queueing systems  William A. Massey (Princeton University)  EE/CS 3180  SW11.34.06 
5:00p6:00p  break  SW11.34.06  
6:00p9:00p  Conference reception and banquet  Coffman Memorial Union  SW11.34.06  
Banquet talk  Tony F. Chan (National Science Foundation) 
11:15a12:15p  IMA postdoc seminar: Algebraic torusbased cryptography  Jason E. Gower (University of Minnesota Twin Cities)  Lind Hall 409  PS 
11:15a12:15p  Algebraic geometry and applications seminar: Excess intersection theory and homotopy continuation methods  Sorin Popescu (SUNY)  Lind Hall 409  AGS 
11:15a12:15p  Real algebraic geometry tutorial: Elimination of quantifiers  Kenneth R. Driessel (Iowa State University)  Lind Hall 409  RAG 
11:15a12:15p  IMA postdoc seminar: TBA  John Voight (University of Minnesota Twin Cities)  Lind Hall 409  PS 
11:15a12:15p  Applied math seminar:
Loewner chains and a problem in H^{∞} optimal control Talk Material  Farhad Jafari (University of Wyoming)  Vincent Hall 1 
11:15a12:15p  Algebraic geometry and applications seminar: Tropical celestial mechanics  Richard Moeckel (University of Minnesota Twin Cities)  Lind Hall 409  AGS 
11:15a12:15p  IMA postdoc seminar: TBA  Daniel J. Bates (University of Minnesota Twin Cities)  Lind Hall 409  PS 
11:15a12:15p  IMA postdoc seminar: TBA  Anton Leykin (University of Minnesota Twin Cities)  Lind Hall 409  PS 
11:15a12:15p  Algebraic geometry and applications seminar:  Niels Lauritzen (Aarhus University)  Lind Hall 409  AGS 
Event Legend: 

AGS  Algebraic Geometry and Applications Seminar 
PS  IMA Postdoc Seminar 
PUB11.2.06  Dr. Margaret H. Wright 
RAG  Weekly Tutorial: Real Algebraic Geometry 
SW11.34.06  BlackwellTapia Conference 
Asheber Abebe (Auburn University)  Discriminant analysis based on statistical depth functions  
Abstract: We will consider the problem of identifying the most likely source of a multivariate data point from among several multivariate populations. The use of statistical depth functions for solving this classification problem will be discussed. Statistical depth functions provide a centeroutward ordering of points in a multivariate data cloud and hence can be considered to be multivariate analogues of ranks. Specifically, classification through maximizing the estimated transvariation probability of statistical depths is proposed. Considering elliptically symmetric populations, it will be illustrated that these new classification techniques provide lower misclassification error rates in the case of heavy tailed distributions. This is joint work with Nedret Billor, Asuman Turkmen and Sai Nudurupati.  
Alejandro Aceves (University of New Mexico)  Nonlinear interaction of light in disordered optical fiber arrays  
Abstract: Light propagation in coupled fiber arrays is described by a balanced of diffraction and nonlinearity. At high intensities, light is localized as a nonlinear mode propagating in a few fibers. The imperfections in the manufacturing of such fiber arrays account for multiplicative noise in the governing equations. Here we analyze how this noise affects the phenomenon of linear (Andersonlike) and nonlinear localization.  
Javier Armendariz (Johns Hopkins University)  JHU Applied Physics Lab  Aviation systems engineering group overview  
Abstract: The Aviation Systems Engineering Group at JHU/APL conducts systems engineering and analysis to support the development and operational employment of military aviation systems. In this endeavor technical requirements and enabling technologies are identified that relate to operational requirements and operational concepts. The group strives to maintain expertise in air defense threat characterization and analyze the survivability and effectiveness of current and future military aviation systems. To this end we are involved in a wide array of projects encompassing many technical disciplines.  
Kanadpriya Basu (University of South Carolina), Maria Cristina Villalobos (University of Texas Pan American)  Modelling faculty teaching workload as a linear program  
Abstract: We present an assignment problem that distributes classes among instructors in the Mathematics department. Currently, the Director of Scheduling assigns about 190 classes 60 instructors using the manual process of trialanderror by considering, for example, an instructor's teaching workload and class preferences. However, this process is quite timeconsuming. Therefore, we model the problem as a linear program with binary variables. The results are presented for Fall'2006.  
Manuel Berriozábal (University of Texas)  Texas prefreshman engineering program: Closing the gap for minorities in science and engineering  
Abstract: The Texas Prefreshman Engineering Program (TexPREP) started in
the summer of 1979 at the University of Texas at San Antonio.
It is a sevento eight week summer mathematicsbased academic
enrichment program designed to prepare middle school and high
school students for college studies in science and engineering.
The program focuses on the development of abstract reasoning
and problem solving skills through the mastery of academic
content. Since the program started, over 24,000 students have
completed at least one summer component of PREP. At least 75%
of the students have come from minority groups underrepresented
in science and engineering and over 50% have been women. Of
the 11,000 students former students who are of college age,
6,500 responded to the 2005 annual survey. The following is a
summary of the results:


Nelson Butuk (Prairie View A&M University)  Accurate computation of second order derivatives using complex variables  
Abstract: In this presentation, the complex variables method of computing accurate first derivatives is combined with an approximation method to calculate second order derivatives efficiently. The complex variables method, is some what similar to the automatic differentiation technique using the popular software tool ADIFOR, to obtain sensitivities (derivatives) from source codes. Application of automatic differentiation to an existing source code, (that evaluates output functions) automatically generates another source code that can be used to evaluate both output functions and derivatives of those functions with respect to specified code input or internal parameters. The precompiler software tool, ADIFOR is usually used to obtain derivatives from CFD and grid generation codes. On the other hand, the complex variables (CV) approach is simpler and easier to implement. The current implementation of CV method only computes first order derivatives accurately. The current methods of computing 2nd order derivatives using different approaches are based on construction of appropriate meshes in a given domain. Then some form of Taylor expansion scheme is applied to these meshes to obtain the desired derivatives. The problem with this approach is that only the function is continuous across meshes, but not its partial derivatives. Because of this, the computed 2nd order derivatives are usually inaccurate. The new method to be presented will address this issue by combining the CV method with an accurate efficient approximation method.  
Luis Enrique Carrillo Díaz (Universidad Nacional Mayor de San Marcos), Roxana LopezCruz (Universidad Nacional Mayor de San Marcos)  Research Institute of Mathematical Sciences  
Abstract: The Research Institute of Mathematical Sciences develops research in pure and applied mathematics, statistics, computer science and research operations. One of the goals of the Institute is to promote means of international cooperation to support the research among the members of our institute and other insitutions of the world. PESQUIMAT is the review of the Institute in charge to spread the research of our members. http://matematicas.unmsm.edu.pe/  
Edward Castillo (Rice University)  Registration of 4D CT lung images  
Abstract: In collaboration with Guerrero et al from MD Anderson Cancer Center, we are developing a new method for accurate registration of 4D CT lung images which accounts for: (1) the compressible nature of the lungs, (2) noise in the images, (3) the high computational workload required to register 4D CT image sets. In order to account for lung compressibility, voxel displacement is modeled by the conservation of mass equation. Secondly, the effects of noise are alleviated by applying the localglobal approach of Weickert et al. to the conservation of mass setting. Finally, the resulting large scale linear systems are solved using a parallelizable, preconditioned conjugate gradient algorithm. The new method has been implemented in serial and tested on two dimensional sythetic images with promising results.  
Gerardo Chowell (Los Alamos National Laboratory)  Transmission and control of seasonal and pandemic influenza  
Abstract: Recurrent epidemics of influenza are observed seasonally around the world with considerable health and economic consequences. Major changes in the influenza virus composition through antigenic shifts can give rise to pandemics. The reproduction number provides a measure of the transmissibility of influenza. We estimated the reproduction number across influenza seasons in the United States, France, and Australia for the last 3 decades. In regards to pandemic influenza, we estimated the reproduction number for the first two epidemic waves during the 1918 influenza pandemic in Geneva, Switzerland. I will discuss the public health implications of our findings in terms of controlling regular influenza epidemics and an influenza pandemic of comparable magnitude to that of 1918.  
Erhan Cinlar (Princeton University)  Jumpdiffusions  
Abstract: For Hunt processes with jumps, we seek a treatment that concentrates on the jumps. The idea is to use a generalized version of the renewal theory (to which Blackwell was a seminal contributor). Embedded at the jump times, there are Markov renewal processes (with continuous state space) that decompose the original process into a sequence of diffusions. Then, the original resolvent can be written as the potential operator of a Markov chain acting on the resolvent of a diffusion. Similar decompositions are possible for hitting distributions and the transition semigroup. Theoretically, our method reduces a jump diffusion to a combination of diffusions and Markov chains.  
Minerva CorderoEpperson (University of Texas)  A new semifield of order 3^{6}  
Abstract: A (finite) semifield is a nonassociative division ring; the associated projective plane is called a semifield plane. The first semifields were defined by Dixon in the early 1900s; in the 1960s several new classes were introduced including the twisted fields defined by Albert. In this poster we will give a historical development of finite semifields. We will present the development in the last decade including a new semifield recently constructed by the author.  
Ricardo Cortez (Tulane University)  Computation of biological flows  
Abstract: Biological systems often include very interesting fluid flows that arise from the interaction of a fluid with an external source of force. Examples are the motion of microorganisms, such as bacteria, that propel themselves by moving their flagella, the motion of cells, and the motion generated by cilia beating in the lungs. The common theme is the interaction between the fluid and an elastic membrane of filament. Numerical models of these motions must compute the motion of the membranes and the fluid simultaneously. This talk highlights the use of Regularizaton Methods for these problems, a methodology that has shown promising results and that continues to expand. Examples of the computations will be shown.  
Carla Cotwright (Wake Forest University)  Clones in minors of matroids  
Abstract: Results that relate clones in a matroid to minors of that matroid are given. Also, matroids that contain few clonalclasses are characterized. These results are related to several results from the literature such as Tutte's ExcludedMinor characterization of the binary matroids. Joint work with T. James Reid.  
Diana Dalbotten (University of Minnesota Twin Cities)  Mathematics and its application to modeling the earth's surface  
Abstract: Students with a Mathematics or Physics degree who wish to apply their abstract skills in a concrete way are invited to investigate the National Center for Earthsurface Dynamics. This multidisciplinary center examines the Earth's surface quantitatively, using computer models, field studies, and laboratory experiments to investigate channels and channel dynamics.  
Adewale Faparusi (Texas A & M University)  The fixed charge network flow problem  
Abstract: The fixed charge network flow problem (FCNFP) is NP Hard and has various practical applications including transportation, network design, communication, and production scheduling. More work has been done on the development of algorithms for specific variants of the FCNFP than the generalized problem. Various formulations and exact and heuristic methods for solving the FCNFP are reviewed.  
Jose D. Flores (University of South Dakota)  Allee effect in an openaccess fishery model  
Abstract: We analyze the consequences of incorporating the phenomenon of depensation, also known as Allee effect, into the bioeconomic model proposed by V. L. Smith in his research work on commercial fishing. The model proposed by Smith is one of the simplest bioeconomic models used in the management of renewable resources, which related the biomass of the exploited resources and the nominal fishery's effort of openaccess.  
Sean C. Garrick (University of Minnesota Twin Cities)  Probabilistic and stochastic modeling of turbulent flows  
Abstract: The transport of wide variety of phenomena in turbulent flows (heat, mass, momentum, species, etc.) is a significant challenge to computational scientists and engineers working in chemical processing, pharmaceuticals, materials synthesis, and atmospheric physics, to name a few. Capturing the variety of length and time scales manifest in these flows leads to compute times which are impractical at best and infeasible at worst. In this seminar, I will present some ideas and recent work in the modeling of multiscale transport phenomena and the probabilistic and stochastic tools used in their description.  
Nancy Glenn (University of South Carolina)  EL algorithm for linear models with missing data  
Abstract: Linear regression is one of the most widely used statistical techniques. However, there is often a problem of missing response variables in practical applications. The expectation maximization (EM) algorithm is a general iterative algorithm for the analysis of missing data; but it relies on parametric assumptions that are usually not met. We present a nonparametric algorithmthe empirical likelihood (EL) algorithm for linear models with missing data. The EL algorithm's advantage is that it makes no assumptions regarding the form of the underlying distribution of the data. We construct confidence intervals for the mean response in the presence of missing responses. We also discuss the power and efficiency of confidence intervals constructed when using the EL algorithm to replace missing responses.  
Edray Goins (Purdue University)  Why should I care about Lie groups?  
Abstract: Sometimes differential equations have an obvious symmetry which leads to a natural guess for its solution. The Norwegian mathematician Marius Sophus Lie (18421899) spent most of his career attempting to generalize ideas of fellow Norwegian Niels Henrik Abel (18021829) from discrete groups of symmetries of algebraic objects to continuous groups of symmetries of topological objects. In the process, Lie created a new branch of mathematics which united differential geometry and abstract algebra. In this talk, we give a brief introduction to the pulchritude of Lie's ideas. From the geometric nature of manifolds to the analytic nature of differential equations, we discuss the natural group action of the space of vector fields of a manifold on itself. We conclude the talk with a discussion of the computation of Lie group of the real line.  
Jason E. Gower (University of Minnesota Twin Cities)  IMA postdoc seminar: Algebraic torusbased cryptography  
Abstract: In 2003, Karl Rubin and Alice Silverberg proposed using algebraic tori for use in public key cryptography. Their basic construction can be used for DiffieHellman key exchange and ElGamal encryption and authentication, as well as for improving pairingbased cryptographic protocols associated with elliptic curves, voting schemes, and sequential and parallel reencrypting mixnets. After describing the basic construction, we will sketch some of the cryptographic applications and discuss the efficiency/security considerations and related open problems.  
Cristi Darley Guevara (Arizona State University)  Fourier restriction problem and its relation to PDE  
Abstract: No Abstract  
Illya V. Hicks (Texas A & M University)  Branch decomposition techniques for discrete optimization  
Abstract: This talk gives a general overview of an emerging technique for discrete optimization that has footholds in mathematics, computer science, and operations research: branch decompositions. Branch decompositions along with its respective connectivity invariant, branchwidth, were first introduced to aid in proving the Graph Minors Theorem, a well known conjecture (Wagner's conjecture) in graph theory. The algorithmic importance of branch decompositions for solving NPhard problems modeled on graphs was first realized by computer scientists. The dynamic programming techniques utilizing branch decompositions, called branch decomposition based algorithms, fall into a class of algorithms known as fixedparameter tractable algorithms and this talk will highlight the computational effectiveness of these algorithms in a practical setting for NPhard problems such as the travelling salesman problem, general minor containment, and the branchwidth problem.  
Fern Y. Hunt (National Institute of Standards and Technology)  Mathematical modelling at NIST: An example  
Abstract: Fluorescent stains and dyes are widely used to visualize biological structure and function on the cellular and subcellular level. The photodegradation of fluorescent particles (fluorophores) is an extremely important issue for biomedical and biotechnology applications because the sensitivity and the accuracy of the quantitative information conveyed by assays using them depends on fluorophore photostability. Recently the presenter and Dr. Adolfas Gaigalas of NIST developed a mathematical model of an experimental method for measuring photodegradation. The model is a set of coupled partial differential equations that describe the kinetics of photodegradation and the flow of fluorophores through the experimental apparatus. Using singular perturbation techniques, the model is reduced to to a dramatically simpler and experimentally accessible ordinary differential equation. The latter can be used to interpret and fit the experimental meausurements, thus providing a quantitative characterization of photostability.  
Farhad Jafari (University of Wyoming)  Applied math seminar:
Loewner chains and a problem in H^{∞} optimal control Talk Material 

Abstract: If f is a univalent function, Loewner chains are used to embed
the image
domain in a continuously increasing family of domains. This
family is then
described by a nonlinear differential equation. If
S_{M} is the
class of
univalent funtions on the open unit disk bounded by M, we use
the
Loewner differential equation to solve the following:
Problem. Find an optimal nonnegativevalued function φ
such that for every z, w in the disk
f(z)f(w) ≤ φ(z,w) for every f \in S_{M}. 

Christopher Jones (University of North Carolina)  Statistical and Applied Mathematical Sciences Institute  
Abstract: Come learn about opportunities at SAMSI.  
Donald King (Northeastern University)  Spherical nilpotent orbits of reductive Lie groups: an overview  
Abstract: The vector space of complex symmetric n×n matrices is preserved by conjugation with complex n×n orthogonal matrices. Conjugacy classes (orbits) of height two nilpotent symmetric matrices have many pleasant properties, and give insights into the structure of interesting irreducible unitary representations of SL(n, R), the group of real n×n matrices of determinant one. If we replace SL(n, R) by a general reductive Lie group G, then its spherical nilpotent orbits have similar properties, and carry similar information about some of the irreducible unitary representations of G.  
Rachel Kuske (University of British Columbia)  American Institute of Mathematics  
Abstract: AIM, the American Institute of Mathematics, would like to bring to your attention opportunities at its conference center, AIM Research Conference Center (ARCC). Located in Palo Alto, California, AIM has been hosting fullyfunded, weeklong workshops at ARCC in all areas of the mathematical sciences since 2002. Through ARCC, AIM supports and develops an innovative style of workshop that encourages interactive research as part of the workshop, fosters new connections, and builds productive and lasting collaborations. Several proactive approaches are used to attract a diverse groups of participants, including women and underrepresented minorities as well as junior mathematicians. All 32 participants receive full funding to attend the weeklong workshop.  
Mark E. Lewis (Cornell University)  From Massey to Blackwell: A study of nonstationary queueing control via sensitive optimality criteria  
Abstract: In this talk we explain how a single jump nonstationary queueing control problem can be solved via sensitive optimality criteria. In particular, the queueing problem is divided into a stationary infinite horizon problem and a nonstationary finite horizon problem with the appropriate terminal reward. The stationary problem leads to several results including the existence of a single bias optimal policy. Since the existence of a Blackwell optimal policy is known, this implies a similar result under this criterion. The search for an optimal policy in the nonstationary problem is shown to lie within the class of monotone (in time) control limit policies. The original problem was posed by Professor Massey and lead to an understanding of an application of Blackwell's sensitive optimality criterion, thereby drawing a connection between 2 (actually 3) generations of AfricanAmerican scholars.  
Daniel Lichtblau (Wolfram Research, Inc.)  Special talk: Computer assisted mathematics: Tools and tactics for solving hard problems  
Abstract: In this talk I will present several problems that have caught my attention over the past few years. We will go over Mathematica formulations and solutions. Along the way we will meet with a branchandbound loop in its natural habitat, some rampaging Gr As the purpose is to illustrate a few of the many ways in which Mathematica can be used to advantage in tackling difficult problems, we will go into a bit of detail in selected examples. Do not let this deter you; there will be no exam, and it is the methods, not the problems, that are of importance. The examples are culled from problems I have seen on Usenet groups (primarily MathGroup), in articles, or have been asked in person.  
Diane Maclagan (Rutgers University)  Algebraic geometry and applications seminar: Equations and degenerations of the moduli space of genus zero stable curves with n marked points  
Abstract: Curves are one of the basic objects of algebraic geometry, and so much attention has been paid to the moduli space of all curves of a given genus. This talk will focus on the moduli space of genus zero stable curves with n marked points, which is a compactification of the space M_{0,n} of isomorphism classes of n points on the projective line. After introducing this space, I will describe joint work with Angela Gibney on explicit equations for it, which lets us see degenerations to toric varieties.  
Oluwole Daniel Makinde (University of Limpopo)  Thermal stability of a reactive third grade fluid in a cylindrical pipe: An exploitation of HermitePadé approximation technique  
Abstract: A large class of real fluids used in industries is chemically reactive and exhibit nonNewtonian characteristics e.g. coal slurries, polymer solutions or melts, drilling mud, hydrocarbon oils, grease, etc. Because of the nonlinear relationship between stress and the rate of strain, the analysis of the behavior of such fluids tends to be more complicated and subtle in comparison with that of Newtonian fluids. In this paper, we investigate the thermal stability of a reactive thirdgrade fluid flowing steadily through a cylindrical pipe with isothermal wall. It is assumed that the reaction is exothermic under Arrhenius kinetics, neglecting the consumption of the material. Approximate solutions are constructed for the governing nonlinear boundary value problem using regular perturbation techniques together with a special type of HermitePadé approximants and important properties of the flow structure including bifurcations and thermal criticality conditions are discussed.  
William A. Massey (Princeton University)  Dynamical queueing systems  
Abstract: Technological innovations are creating new types of communication systems such as call centers, electronic commerce, and wireless communications. Communication services managers must make important business decisions to stay competitive and profitable. They have to maximize the communication resources that they are making available to the customer. However, managers must also minimize their costs for providing these resources, which results in maximizing profits for their companies. The mathematical field of queueing theory was successfully introduced in the first half of the 20th century to model voice communication networks. It has traditionally provided managers with a useful set of decision making formulas, algorithms and policies for designing communication systems and services. Another major triumph for queueing theory happened in the second half of the 20th century when it was applied to data communication systems and contributed to the design of the first prototype for the Internet. Both types of voice and data queueing models made significant use of the steady state theory for continuous time Markov chains. Given the new types of communication systems and services available in the 21st century, it is no longer possible to make many of the simplifying assumptions of classical queueing theory. One major theme of my research has been to move away from the static steady state analysis of the past and develop a theory of queues that captures more of the true dynamic behavior that is found in real communications operations. My talk will discuss the types of mathematical tools needed to create a dynamical queueing theory. This involves new types of perturbation analysis applied to the differential equations of the transition probabilities for the underlying, timeinhomogeneous Markov chain, queueing model. Moreover, we also use the theory of strong approximations to apply this asymptotic analysis directly to the random sample paths of these stochastic processes. We can also relax these Markovian assumptions by using the theory of Poisson random measures. Finally, we can establish fundamental limit theorems that approximate many of these random processes by dynamical systems. From these results, we can then apply the dynamic optimization techniques of variational calculus and classical mechanics to the efficient design of these queueing models.  
Richard Moeckel (University of Minnesota Twin Cities)  Algebraic geometry and applications seminar: Tropical celestial mechanics  
Abstract: Some interesting problems in mechanics can be reduced to solving systems of algebraic equations. A good example is finding relative equilibria of the gravitational nbody problem. These are special configurations of the n point masses which can rotate rigidly such that the outward centrifugal forces exactly cancel the gravitational attractions. The algebraic equations are complicated enough that it is a longstanding open problem even to show that the number of solutions is finite. I will describe a solution to this question for n=4 which makes use of some ideas from what is now called tropical algebraic geometry – Puiseux series solutions, initial ideals, etc. The problem is open for larger n.  
David Murillo (Arizona State University)  Change in host behavior and its impact on the coevolution of dengue  
Abstract: The joint evolutionary dynamics of dengue strains are poorly understood despite its high prevalence around the world. Two dengue strains are put in competition in a population where behavioral changes can affect the probability of infection. The destabilizing dynamic effect of even "minor" behavioral changes are discussed and their role in dengue control is explained  
Josue C. NoyolaMartinez (Rice University)  Error estimates between the stochastic simulation algorithm (SSA) and the tauleap method  
Abstract: The use of the relatively new tauleap algorithm to model the kinematics of genetic regulatory systems is of great interest, however, the algorithm's accuracy is not known. We introduce a new method which enables us to establish the accuracy of the tauleap method effectively. Gillespie introduced both the Stochastic Simulation Algorithm (SSA) and the tauleap method to simulate chemical systems which can model the dynamics of cellular processes. The SSA is an exact method but is computationally inefficient. The tauleap is an approximate method which has computational advantages over the SSA. There have been some efforts to quantify the error between the SSA and the tauleap method, but the accuracy of these efforts is questionable. We propose an adaptation of a nonhomogeneous Poisson process to couple the SSA and tauleap so that we can make direct comparisons between individual realizations of their simulations. Our method has not been attempted in the literature and we demonstrate that it gives far better error estimates than anything proposed previously.  
Kathleen O'Hara (Mathematical Sciences Research Institute)  Mathematical Sciences Research Institute  
Abstract: Come learn about opportunities at MSRI.  
Kasso Okoudjou (University of Maryland)  Asymptotics of eigenvalue clusters for Schroedinger operators on the Sierpinski gasket  
Abstract: In this talk we shall present some results on the asymptotic behavior of spectra of Schrodinger operators with continuous potential on the Sierpinski gasket SG. In particular, using the extence of localized eigenfunctions for the Laplacian on SG we show that the eigenvalues of the Schrodinger opeartor break into clusters around certain eigenvalue of the Laplacian. Moreover, we prove that the characteristic measure of these clusters converges to a measure.  
Janis Oldham (North Carolina Agricultural and Technical State University)  Progress report on the NSA mathematics enhancement grant: Developing a mathematics culture among undergraduate mathematics majors at North Carolina A&T State University  
Abstract: From July 1, 1998  September 30, 2001 North Carolina A&T's Math Department conducted a project, funded through the National Security Agency. The project was designed to produce a core of undergraduate students having a “mathematics culture”, that is, a depth in proof based higher mathematics, the ability to articulate ideas, solve problems, and conduct inquiry and research. It was hoped this core would communicate its knowledge and experience on to successive classes of students, maintaining this newly developed culture. It was also originally hoped that the Math department would go on to develop an Honors program from this program, or at least incorporate the main program elements, especially the required problem sessions. Students not having developed in such a 'culture' meant not being prepared to do well in graduate school or have the expertise to work in government or industry. The current state of affairs is that the culture did not persist. While the department did adopt 2 program elements, namely a freshman / new math major orientation course, and a required problem session with the Logic/Proof transitions course, university administrative edicts and university curriculum changes, impeded or gutted the effectiveness of those program elements. Nevertheless 72% of those who were in the program for 1, 2, or 3 years graduated with a degree in mathematics, applied mathematics, or mathematics education from an accredited institution. This included 3 who went on to earn Ph.D.'s, and many more who earned masters degrees. These students had gpa's from 2.5 through just under 4.0. Students who currently hold these gpa's are not developing as the students did during the period of the NSA grant. What we believe is that the specific intervention and high amount of contact hours with students, with the purpose of compelling, guiding, and developing the appropriate study discipline, made the difference. For such results to persist, designing methods to maintain the intervention until a math culture actually takes hold, is necessary.  
Joanna Papakonstantinou (Rice University)  Historical development of the secant method: from the Babylonians to Wolfe  
Abstract: Many believe the Secant Method arose out of the finite difference approximation of the derivative in Newton's Method. However, historical evidence reveals that the Secant Method predated Newton's Method. It was originally referred to as the Rule of Double False Position and dates back to the Babylonians. We present a historical development of the Secant Method in 1D. We introduce the definition of general position, present the n+1 point interpolation idea, and outline Wolfe's formulation to compute the basic secant approximation. We explain how the method is numerically unstable, because it leads to illconditioning due to the deterioration of general positioning.  
Sorin Popescu (SUNY)  Algebraic geometry and applications seminar: Excess intersection theory and homotopy continuation methods  
Abstract: I will recall first basic techniques and results in (excess) intersection theory in algebraic geometry and then discuss their implications and also applications toward a numerical approach to primary decomposition for ideals in polynomial rings.  
Carlos Andrés Quintero Salazar (University of Texas)  Automated parameter estimation and sensitivity analysis  
Abstract: We present the computational issues that will be considered for the implementation of hybrid optimization approaches oriented to automated parameter estimation problems. The proposed hybrid optimization approaches are based on the coupling of the Simultaneous Perturbation Stochastic Approximation (SPSA) approach (a global and derivative free optimization method) and a globalized NewtonKrylov Interior Point algorithm (NKIP) (a global and derivative dependent optimization method). The first coupling will imply the generation of a metamodel that will allow to incorporate derivative information on a simpler representation of the original problem. The second type of coupling assumes that there is some derivative information available but its utilization is postponed until the SPSA algorithm has made sufficient progress toward the solution. We implement the hybrid optimization approach on a simple testcase, and present some numerical results.  
Karen RiosSoto (Cornell University)  Epidemic spread in populations at demographic equilibrium  
Abstract: We introduce an integrodifference equation model to study the spatial spread of epidemics through populations with overlapping and non overlapping epidemiological generations. Our focus is on the existence of travelling wave solutions and their minimum asymptotic speed of propagation c*. We contrast the results here with similar work carried out in the context of ecological invasions. We illustrate the theoretical results numerically in the context of SI (susceptibleinfected) and SIS (susceptibleinfectedsusceptible) epidemic models.  
Joaquin Rivera (University of Iowa)  Existence of traveling waves solution for a nonlocal reactiondiffusion model of influenza A  
Abstract: In this paper we study the existence of traveling wave solutions for an integrodifferential system of equations. The system was proposed by Lin et. al as a model for the spread for influenza A drift. The model uses diffusion to simulate the mutation of the virus along a one dimensional phenotype space. By considering the system under the traveling wave variable *z=xct* the PDE system is transformed to a higher dimensional ODE system. Applying the theory of geometric singular perturbation we constructed a traveling wave solution for the system. Key words: traveling wave, reactiondiffusion, geometric singular perturbation.  
Daniel Romero (Arizona State University)  An epidemiological approach to the spread of minor political parties  
Abstract: Third political parties are influential in shaping American politics. In this work we study the spread of third parties ideologies in a voting population where we assume that party members are more influential in recruiting new third party voters than nonmember third party voters (i.e., those who vote but do not pay party dues, officiate, campaign). The study is conducted using a ‘SusceptibleInfected’ epidemiological model with a system of nonlinear ordinary differential equations as applied to a case study, the Green Party. Through the analysis of our system we obtain the partyfree and memberfree equilibria as well as two endemic equilibria, one of which is stable. We consider the conditions for existence and stability (if applicable) of all equilibria and we identify two threshold parameters in our model that describe the different possible scenarios for a third political party and its spread. Of the two possible endemic states for the voting population we posit ideal threshold ranges for which the stable endemic equilibrium exists. Interestingly enough, our system produces a backward bifurcation that identifies parameter values under which a third party can either thrive or die depending on the initial number of members in the voting system. We then perform sensitivity analysis to the threshold conditions to isolate those parameters to which our model is most sensitive. We explore all results through numerical simulations and refer to data from the Green Party in the state of Pennsylvania as a case study for parameter estimation.  
Flavia SancierBarbosa (Southern Illinois University)  Option pricing with memory  
Abstract: In this talk we introduce an option pricing model with delayed memory. The memory is introduced in the stock dynamics, which is described by a stochastic functional differential equation. The model has the following key features: 1. Volatility depends on a (delayed) history, i.e., its value at time t is a deterministic functional of the history of the stock from time tL up to time tl, where l is positive and less than or equal to L. Hence, due to this pastdependence on the stock price, the volatility is necessarily stochastic. 2. The randomness in the volatility is intrinsic, since it is generated by past values of the stock price. 3. The stock dynamics is driven by a single onedimensional Brownian motion, and the model is one dimensional. 4. The market is complete. 5. For large delays (or at times relatively close to maturity) we obtain a closedform representation for the fair price of the option, as well as for the hedging strategy. 6. The option price can be expressed in terms of the exact solution of a onedimensional partial differential equation (PDE). 7. The classical Blackscholes model is a particular case of the delayed memory model. 8. We believe that our model is sufficiently flexible to fit real market data, in particular to account for observed "smiles" and "frowns".  
David Tello (Arizona State University)  Mathematical aspects of dopamine's turnover  
Abstract: What do the world's champion Muhammad Ali and A Beautiful Mind's John F. Nash have in common? They both suffer from dopamine malfunction in one of the major dopaminegic pathways. It is believed that loss of dopamine activity in the nigrostriatal pathway is associated with Parkinson's Disease and that an imbalance of dopamine activity in the mesocortical\mesolimbic pathway is the cause of (positive\negative) symptoms of Schizophrenia. I have assembled a collection of available literature concerning dopamine turnover (the cascade chemical process that takes place in the terminal button) and some of the available mathematical models describing the dopamine process. This collection constitutes a foundation of future work. I plan to develop a stochastic model describing the dopamine cascade in the different major dopaminergic pathways.  
Sheila Tobias  Professional Science Masters programs  
Abstract: Why Industry should be interested in PSM Companies are transforming their cultures and reshaping their business models to focus on highimpact innovation. This business strategy requires a skill set very different from the old Six Sigma. Universities have responded to this challenge by creating a new business and industryoriented Professional Science (Mathematics) Masters degree (PSM). PSM degree holders are trained to work productively at what Business Week calls the "sweet spot" where design, customer understanding, and emerging technologies come together. PSM graduates have expertise in science, mathematics, and computational skills PLUS business basics, project management, regulatory affairs, technology transfer, teamwork, and communication. Why Students should be interested in PSM A twoyear postgraduate terminal degree for mathematics/computational science majors, in areas of applied mathematics, including financial mathematics, industrial mathematics, computational science and at the intersection of disciplines including bioinformatics, proteomics, environmental decision making, biostatistics, statistics for entrepreneurship, and applications of GIS. For more information, see  Conrad Tucker (University of Illinois at UrbanaChampaign)  Optimal product portfolio formulation: Merging predictive data mining with analytical target cascading  
Abstract: This paper addresses two important fundamental areas in product family formulation that have recently begun to receive great attention. First is the incorporation of market demand that we address through a data mining approach where realistic customer survey data is translated into performance design targets. Second is platform architecture design that we model as a dynamic entity. The dynamic approach to product architecture optimization differs from conventional static approaches in that a predefined architecture is not present at the initial stage of product design, but rather evolves with fluctuations in customer performance preferences. The benefits of direct customer input in product family design will be realized through our cell phone product family example presented in this work. An optimal family of cell phones is created with modularity decisions made analytically at the enterprise level that maximize company profit.  
Maria Cristina Villalobos (University of Texas Pan American)  Formulating Fano's Method as an Optimization Problem to obtain Broadband Tuning Limits on UWB Antennas  
Abstract: Modern broadband communications requires antennas with greatly improved frequency range and reduced size. It has been known since 1948 that there are basic physical limitations on the bandwidth that can be obtained for a given size antenna; however, the numerical results that have been available were until recently based entirely on a secondorder model for the antenna that was (a) an approximation, and (b) only strictly applicable to relatively narrowband cases. In the last few years, a new approach based on "Fano's formulation" has been used which can apply over any bandwidth. We have reformulated Fano's method as an optimization problem and as a result have been able to obtain fundamental bandwidth limits that can in principle be calculated for any radiation mode. This means that one can now find the ultimate possible bandwidth performance for directional antennas, a result with immediate practical significance for designers of ultrawideband antennas. Graphs of numerical limits on the inband reflection coefficient tolerance versus electrical size for highpass and bandpass tuning are presented. This is joint work with H.D. Foltz and J.S. McLean  
Rachel E. VincentFinley (Rice University)  Reduced basis simulation  
Abstract: Molecular dynamics (MD) simulation provides a powerful tool to study molecular motion with respect to classical mechanics. When considering protein dynamics, local motions, such as bond stretching, occur within femtoseconds, while rigid body and largescale motions, occur within a range of nanoseconds to seconds. Generally to capture motion at all levels using standard numerical integration techniques to solve the equations of motion requires time steps on the order of a femtosecond. To date, literature reports simulations of solvated proteins on the order of nanoseconds, however, simulations of this length do not provide adequate sampling for the study of largescale molecular motion. In this presentation we will describe a method for performing molecular simulations with respect to a reduced coordinate space. Given a standard MD trajectory we use principal component analysis (PCA) to identify k dominant characteristics of a trajectory and construct a kdimensional (kD) representation of the atomic coordinates with respect to these k characteristics. Using this model we define equations of motion and perform simulations with respect to the constructed kD representation. We apply our method to test molecules and compare the simulations to standard MD simulations of the molecules. Our method allows us to efficiently simulate test molecules by reducing the storage and the computation requirements. The results indicate that the molecular activity with respect to our simulation method is comparable to that observed in the standard MD simulations of these molecules.  
Bryan Williams (Hampton University)  Large circuit pairs in matroids  
Abstract: Scott Smith conjectured in 1979 that two distinct longest cycles of a kconnected graph meet in at least k vertices when k is less than or equal to 2. This conjecture is known to be true for k is less than or equal to 10. Only the case k less than or equal to 6 appears in the literature, however. Reid and Wu generalized Smith's conjecture to kconnected matroids by considering largest circuits. The case k=2 of the matroid conjecture follows from a result of Seymour. In addition, McMurray, Reid, Sheppardson, Wei, and Wu established an extension of the matroid conjecture for k=2 and proved it for cographic matroids when k ≤ 6. In his Ph.D. dissertation, McMurray established the matroid conjecture for matroids of circumference four. I establish Reid and Wu's conjecture for several classes of matroids which include those that have connectivity three, circumference five, and spanning circuits, Along with some structured results for connectivity four. I am also looking at extending the dual result of Grotschel and Nemhauser's established result of Smith's conjecture for k less than or equal to 6, by considering largest bonds in graphs.  
Isaac Woungang (Ryerson Polytechnical University)  Algebraic characterizations of some classes of quasicyclic codes  
Abstract: The socalled Jensen's concatenation function has been found to be a powerful tool for the study of quasicyclic (QC) codes, and in general, of codes invariant under a permutation. In this paper, we introduce two novel applications of the aforementioned tool. First, we provide a trace description of a 1generator QC code, which generalizes the wellknown trace description of a cyclic code. Second, we provide an algebraic characterization of QC codes obtained as qary images of q^{m}ary irreducible cyclic codes. These QC codes are shown to be decomposable into the direct sum of a fixed number of irreducible components. Based upon this decomposition, we obtain some lower bounds on the minimum distances of some classes of such codes. Our numerical results show that our technique can yield optimal linear codes.  
Margaret H. Wright (New York University)  Undergraduate, graduate, and postdoctoral opportunities at New York University  
Abstract: New York University, located in the heart of Greenwich Village in New York City, offers outstanding undergraduate, graduate, and postdoctoral opportunities. Material about all of these, especially those involving the Courant Institute of Mathematical Sciences, will be available, and the presenter will be happy to answer questions.  
Wenyuan Wu (University of Western Ontario)  Differential elimination of PDEs by numerical algebraic geometry and numerical linear algebra  
Abstract: The computational difficulty of completing nonlinear PDE to involutive form by differential elimination algorithms is a significant obstacle in applications. We apply numerical methods to this problem which, unlike existing symbolic methods for exact systems, can be applied to approximate systems arising in applications. We use Numerical Algebraic Geometry to process the lower order leading nonlinear parts of such PDE systems to obtain their witness sets. To check the conditions for involutivity Numerical Linear Algebra techniques are applied to constant matrices which are the leading linear parts of such systems evaluated at the generic points. Representations for the constraints result from applying a method based on Polynomial Matrix Theory. Examples to illustrate the new approach are given. This is joint work with Greg Reid. The paper is available at publish.uwo.ca/~wwu26  
Emmanuel Yomba (University of Minnesota Twin Cities)  Generalized hyperbolic functions to find solitonlike solutions of the inhomogeneous higherorder nonlinear Schrödinger equation  
Abstract: The inhomogeneous higherorder nonlinear Schrödinger (IHONLS) equation is studied by the use of generalized hyperbolic functions and the complex amplitude method. The results reveal that for the new bright solitontype and dark solitontype solutions obtained, one can control the velocity, the phase shift (by managing the distributed parameters of the system) and the shape (by choosing appropriately the two parameters introduced in the generalized hyperbolic functions). 
Kobi Abayomi  Columbia University  11/3/2006  11/5/2006 
Asheber Abebe  Auburn University  11/3/2006  11/5/2006 
Alejandro Aceves  University of New Mexico  11/2/2006  11/5/2006 
Evans Afenya  Elmhurst College  11/3/2006  11/5/2006 
JungHa An  University of Minnesota Twin Cities  9/1/2005  8/31/2007 
Issareeya Anunyaporn  University of Texas Pan American  11/3/2006  11/5/2006 
Miguel Argaez  University of Texas  11/3/2006  11/5/2006 
Javier Armendariz  Johns Hopkins University  11/3/2006  11/5/2006 
Douglas N. Arnold  University of Minnesota Twin Cities  7/15/2001  8/31/2007 
Donald G. Aronson  University of Minnesota Twin Cities  9/1/2002  8/31/2007 
Rodrigo Bañuelos  Purdue University  11/2/2006  11/5/2006 
Francisco Barahona  IBM Thomas J. Watson Research Center  11/3/2006  11/5/2006 
Earl Barnes  Georgia Institute of Technology  11/3/2006  11/5/2006 
Kanadpriya Basu  University of South Carolina  11/2/2006  11/5/2006 
Daniel J. Bates  University of Minnesota Twin Cities  9/1/2006  8/31/2007 
Raymond Beaulieu  National Security Agency  11/3/2006  11/5/2006 
Keith Berrier  Law Offices of Mark L. Berrier  11/3/2006  11/4/2006 
Manuel Berriozábal  University of Texas  11/3/2006  11/5/2006 
Yermal Sujeet Bhat  University of Minnesota Twin Cities  9/1/2006  8/31/2007 
Sean Brooks  Coppin State University  11/2/2006  11/5/2006 
Javier Burgos  Universidad Nacional de Colombia  11/3/2006  11/5/2006 
Nelson Butuk  Prairie View A&M University  11/2/2006  11/5/2006 
MariaCarme T. Calderer  University of Minnesota Twin Cities  11/3/2006  11/4/2006 
Rodrigo Carraminana  University of Illinois  11/3/2006  11/5/2006 
Jamylle Laurice Carter  San Francisco State University  11/2/2006  11/4/2006 
Edward Castillo  Rice University  11/3/2006  11/5/2006 
Carlos CastilloChavez  Arizona State University  11/3/2006  11/5/2006 
Ximena Catepillan  Millersville University  11/3/2006  11/5/2006 
Tony F. Chan  National Science Foundation  11/3/2006  11/5/2006 
Farrah J. Chandler  University of North Carolina  11/2/2006  11/5/2006 
Gerardo Chowell  Los Alamos National Laboratory  11/2/2006  11/5/2006 
Erhan Cinlar  Princeton University  11/3/2006  11/5/2006 
Ionut CiocanFontanine  University of Minnesota Twin Cities  9/1/2006  6/30/2007 
Barry Cipra  St. Olaf College  11/3/2006  11/5/2006 
Jon Cline  Case Western Reserve University  11/3/2006  11/5/2006 
Olga CorderoBrana  University of Hawaii at Manoa  11/2/2006  11/5/2006 
Minerva CorderoEpperson  University of Texas  11/3/2006  11/5/2006 
Ricardo Cortez  Tulane University  11/3/2006  11/5/2006 
Carla Cotwright  Wake Forest University  11/3/2006  11/5/2006 
Cyndy Crist  Minnesota State Colleges and Universities  11/3/2006  11/4/2006 
Diana Dalbotten  University of Minnesota Twin Cities  11/3/2006  11/3/2006 
Alicia Dickenstein  University of Buenos Aires  9/1/2006  11/30/2006 
Kenneth R. Driessel  Iowa State University  9/1/2006  5/31/2007 
Kossi Delali Edoh  North Carolina Agricultural and Technical State University  11/3/2006  11/5/2006 
Marco Enriquez  Rice University  11/3/2006  11/5/2006 
Adewale Faparusi  Texas A & M University  11/2/2006  11/5/2006 
Makan Fardad  University of Minnesota Twin Cities  8/26/2006  8/13/2007 
Jose D. Flores  University of South Dakota  11/3/2006  11/5/2006 
Dennis Frank  North Carolina State University  11/3/2006  11/5/2006 
Joe Gallian  University of Minnesota  11/3/2006  11/4/2006 
Shuhong Gao  Clemson University  9/3/2006  12/20/2006 
Sean C. Garrick  University of Minnesota Twin Cities  11/3/2006  11/4/2006 
Tepper Gill  Howard University  11/2/2006  11/6/2006 
Nancy Glenn  University of South Carolina  11/2/2006  11/5/2006 
Edray Goins  Purdue University  11/3/2006  11/5/2006 
Jason E. Gower  University of Minnesota Twin Cities  9/1/2006  8/31/2007 
Arthur D. Grainger  Morgan State University  11/3/2006  11/5/2006 
Angela Grant  Northwestern University  11/3/2006  11/5/2006 
Lawrence Gray  University of Minnesota Twin Cities  11/3/2006  11/4/2006 
Michael Green  Metropolitan State University  11/3/2006  11/4/2006 
Alvaro Guevara  Louisiana State University  11/2/2006  11/5/2006 
Cristi Darley Guevara  Arizona State University  11/3/2006  11/5/2006 
Abba Gumel  University of Manitoba  11/3/2006  11/5/2006 
Robert C. Hampshire  Princeton University  11/3/2006  11/5/2006 
Gloria Haro Ortega  University of Minnesota Twin Cities  9/1/2005  8/31/2007 
Milena Hering  University of Minnesota Twin Cities  9/1/2006  8/31/2007 
Illya V. Hicks  Texas A & M University  11/2/2006  11/5/2006 
Benjamin J. Howard  University of Minnesota Twin Cities  9/1/2006  8/31/2007 
Evelyne Hubert  Institut National de Recherche en Informatique Automatique (INRIA)  9/1/2006  6/30/2007 
Fern Y. Hunt  National Institute of Standards and Technology  11/3/2006  11/5/2006 
Monica Jackson  American University  11/3/2006  11/5/2006 
Trachette L. Jackson  University of Michigan  11/3/2006  11/5/2006 
Farhad Jafari  University of Wyoming  9/1/2006  6/30/2007 
Overtoun Jenda  Auburn University  11/2/2006  11/5/2006 
Otis B. Jennings  Duke University  11/3/2006  11/5/2006 
Anders Nedergaard Jensen  Aarhus University  9/6/2006  6/30/2007 
Silvia Jimenez  Louisiana State University  11/2/2006  11/5/2006 
Cynthia Johnson  Rice University  11/2/2006  11/5/2006 
Christopher Jones  University of North Carolina  11/3/2006  11/5/2006 
Donald Kahn  University of Minnesota Twin Cities  11/3/2006  11/4/2006 
Hans Kaper  National Science Foundation  11/3/2006  11/5/2006 
John Kemper  University of St. Thomas  11/3/2006  11/4/2006 
Harvey Keynes  University of Minnesota Twin Cities  11/3/2006  11/4/2006 
Nkem Khumbah  University of Michigan  11/3/2006  11/5/2006 
Donald King  Northeastern University  11/3/2006  11/5/2006 
Genevieve Knight  Fayetteville State University  11/3/2006  11/5/2006 
Teresa Krick  University of Buenos Aires  11/27/2006  11/29/2006 
Teresa Krick  University of Buenos Aires  11/1/2006  11/3/2006 
Aderemi Kuku  Abdus Salam International Centre for Theoretical Physics  11/2/2006  11/5/2006 
Rachel Kuske  University of British Columbia  11/2/2006  11/5/2006 
SongHwa Kwon  University of Minnesota Twin Cities  8/30/2005  8/31/2007 
Niels Lauritzen  Aarhus University  8/28/2006  6/30/2007 
Steven L. Lee  Lawrence Livermore National Laboratory  11/2/2006  11/5/2006 
Delia Letang  University of Minnesota Twin Cities  11/3/2006  11/5/2006 
Mark E. Lewis  Cornell University  11/2/2006  11/5/2006 
Anton Leykin  University of Minnesota Twin Cities  8/16/2006  8/15/2007 
Ruifang Li  University of Texas Pan American  11/3/2006  11/5/2006 
Hstau Liao  University of Minnesota Twin Cities  9/2/2005  8/31/2007 
Daniel Lichtblau  Wolfram Research, Inc.  11/1/2006  11/3/2006 
Roxana LopezCruz  Universidad Nacional Mayor de San Marcos  11/2/2006  11/6/2006 
Laura Lurati  University of Minnesota Twin Cities  9/1/2006  8/31/2007 
Gennady Lyubeznik  University of Minnesota Twin Cities  9/1/2006  6/30/2007 
Diane Maclagan  Rutgers University  9/5/2006  11/30/2006 
Oluwole Daniel Makinde  University of Limpopo  10/31/2006  11/5/2006 
Shirley M. Malcom  American Association for the Advancement of Science  11/3/2006  11/3/2006 
David Manderscheid  University of Iowa  11/2/2006  11/5/2006 
Hannah Markwig  University of Minnesota Twin Cities  9/1/2006  8/31/2007 
Thomas Markwig  Universität Kaiserslautern  9/1/2006  6/30/2007 
Geoffrey Maruyama  University of Minnesota Twin Cities  11/3/2006  11/4/2006 
Juliette Massey  NONE  11/3/2006  11/5/2006 
Richard Massey Jr.  NONE  11/3/2006  11/5/2006 
William A. Massey  Princeton University  11/2/2006  11/5/2006 
Douglas McWilliams  Purdue University  11/3/2006  11/5/2006 
Willard Miller Jr.  University of Minnesota Twin Cities  11/3/2006  11/4/2006 
Richard Moeckel  University of Minnesota Twin Cities  9/1/2006  6/30/2007 
Salah Mohammed  Southern Illinois University  11/3/2006  11/5/2006 
David Morrison  University of California  11/3/2006  11/5/2006 
David Murillo  Arizona State University  11/3/2006  11/5/2006 
Samuel Myers  University of Minnesota Twin Cities  11/2/2006  11/4/2006 
Uwe Nagel  University of Kentucky  9/1/2006  6/1/2007 
Jiawang Nie  University of Minnesota Twin Cities  9/1/2006  8/31/2007 
Mechie Nkengla  University of Illinois  11/3/2006  11/5/2006 
Josue C. NoyolaMartinez  Rice University  11/2/2006  11/5/2006 
Kathleen O'Hara  Mathematical Sciences Research Institute  11/3/2006  11/5/2006 
Kasso Okoudjou  University of Maryland  11/3/2006  11/5/2006 
Janis Oldham  North Carolina Agricultural and Technical State University  11/3/2006  11/5/2006 
Broderick Oluyede  Georgia Southern University  11/3/2006  11/5/2006 
Omayra Ortega  Arizona State University  11/2/2006  11/5/2006 
Juan Ariel OrtizNavarro  University of Iowa  11/3/2006  11/5/2006 
Victor Padron  Normandale Community College  11/3/2006  11/4/2006 
Joanna Papakonstantinou  Rice University  11/2/2006  11/5/2006 
Chris Peterson  Colorado State University  9/1/2006  12/31/2006 
Arlie O. Petters  Duke University  11/3/2006  11/5/2006 
Sorin Popescu  SUNY  9/1/2006  12/31/2006 
Carl Lindell Prather  Virginia Polytechnic Institute and State University  11/3/2006  11/5/2006 
Carlos Andrés Quintero Salazar  University of Texas  11/3/2006  11/5/2006 
Bharath Rangarajan  University of Minnesota Twin Cities  11/3/2006  11/4/2006 
Gregory J. Reid  University of Western Ontario  9/6/2006  12/1/2006 
Victor Reiner  University of Minnesota Twin Cities  9/1/2006  6/30/2007 
Karen RiosSoto  Cornell University  11/2/2006  11/5/2006 
Joaquin Rivera  University of Iowa  11/3/2006  11/5/2006 
Joel Roberts  University of Minnesota Twin Cities  9/1/2006  6/30/2007 
Eliana Rojas  University of Connecticut  11/3/2006  11/5/2006 
Daniel Romero  Arizona State University  11/3/2006  11/5/2006 
Bjarke Hammersholt Roune  Aarhus University  9/12/2006  6/30/2007 
Philippe Rukimbira  Florida International University  11/3/2006  11/5/2006 
David Rusin  Northern Illinois University  9/1/2006  12/31/2006 
Flavia SancierBarbosa  Southern Illinois University  11/3/2006  11/5/2006 
Arnd Scheel  University of Minnesota Twin Cities  7/15/2004  8/31/2007 
Abdulalim A. Shabazz  Lincoln University  11/3/2006  11/5/2006 
Chehrzad Shakiban  University of Minnesota Twin Cities  9/1/2006  8/31/2007 
Josef Aaron Sifuentes  Rice University  11/2/2006  11/5/2006 
Michel Smith  Auburn University  11/2/2006  11/5/2006 
Stephanie Somersille  University of California  11/2/2006  11/5/2006 
Andrew Sommese  University of Notre Dame  9/1/2006  12/31/2006 
Michelle Sowemimo  Duke University  11/3/2006  11/5/2006 
Steven Sperber  University of Minnesota Twin Cities  9/1/2006  6/30/2007 
Luke Stewart  Duke University  11/3/2006  11/5/2006 
Jean Tapia  NONE  11/2/2006  11/5/2006 
Rebecca Tapia  NONE  11/2/2006  11/5/2006 
Richard Tapia Jr.  NONE  11/2/2006  11/5/2006 
Richard Tapia  Rice University  11/2/2006  11/5/2006 
Alberto Mokak Teguia  Duke University  11/3/2006  11/5/2006 
David Tello  Arizona State University  11/3/2006  11/5/2006 
Mohammed Tesemma  Spelman College  11/3/2006  11/5/2006 
Gikiri Thuo  University of Maryland  11/3/2006  11/5/2006 
Sheila Tobias  NONE  11/2/2006  11/5/2006 
Enrique Augusto Tobis  University of Buenos Aires  10/15/2006  11/11/2006 
Carl Toews  University of Minnesota Twin Cities  9/1/2005  8/31/2007 
Conrad Tucker  University of Illinois at UrbanaChampaign  11/2/2006  11/5/2006 
Jesse Turner  Rice University  11/3/2006  11/5/2006 
Michael Turnley  University of Illinois at UrbanaChampaign  11/3/2006  11/5/2006 
Leticia Velazquez  University of Texas  11/3/2006  11/5/2006 
William Yslas Vélez  University of Arizona  11/3/2006  11/4/2006 
Jan Verschelde  University of Illinois  9/6/2006  11/30/2006 
Maria Cristina Villalobos  University of Texas Pan American  11/3/2006  11/5/2006 
Alfredo Villanueva  University of Iowa  11/3/2006  11/5/2006 
Rachel E. VincentFinley  Rice University  11/3/2006  11/5/2006 
John Voight  University of Minnesota Twin Cities  8/15/2006  8/31/2007 
Aissa Wade  Pennsylvania State University  11/3/2006  11/5/2006 
Mingsheng Wang  Chinese Academy of Sciences  9/15/2006  11/15/2006 
Esther R. Widiasih  University of Minnesota Twin Cities  11/3/2006  11/4/2006 
Bryan Williams  Hampton University  11/2/2006  11/5/2006 
Kyron Williams  Princeton University  11/3/2006  11/5/2006 
Ulrica Wilson  University of California, San Diego  11/3/2006  11/5/2006 
Isaac Woungang  Ryerson Polytechnical University  11/2/2006  11/5/2006 
Margaret H. Wright  New York University  11/1/2006  11/4/2006 
Wenyuan Wu  University of Western Ontario  9/6/2006  12/1/2006 
Emmanuel Yomba  University of Minnesota Twin Cities  11/3/2006  11/5/2006 
Joseph Young  Rice University  11/3/2006  11/5/2006 
Hongchao Zhang  University of Minnesota Twin Cities  9/1/2006  8/31/2007 
Yan Zhuang  University of Illinois  9/1/2006  12/1/2006 