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IMA Newsletter #368

June 2007

2006-2007 Program

Applications of Algebraic Geometry

See http://www.ima.umn.edu/2006-2007 for a full description of the 2006-2007 program on Applications of Algebraic Geometry.

News and Notes

Microsoft joins the IMA as a Participating Corporation.

Microsoft has joined the IMA as a Participating Corporation. Microsoft's representative on the Industrial Advisory Board is Jennifer Chayes, Manager of the Theory Group and Research Area Manager for Mathematics and Theoretical Computer Science Microsoft Research.

IMA Expands to the First Floor of Lind Hall

The IMA staff are now mainly located in our newly remodeled first floor offices in Lind Hall. The future visitors of the IMA can check out an access card from the IMA office in 114 Lind Hall to visit the fourth floor as the doors and elevator accessing the fourth floor are kept locked all day.

Assistant to the Director

IMA welcomes Laureen Ross McCalib who has joined the Institute for Mathematics and its Applications as assistant to the Director.

IMA Events

Compressive Sampling and Frontiers in Signal Processing

June 4-15, 2007

Organizers: Richard Baraniuk (Rice University), Emmanuel J. Candès (California Institute of Technology), Ronald DeVore (University of South Carolina)
Schedule

Friday, June 1

8:30a-9:00aCoffeeEE/CS 3-176 W5.29-6.2.07
9:00a-9:50aApplication of algebraic geometry to kinematicsManfred Husty (Leopold-Franzens Universität Innsbruck)EE/CS 3-180 W5.29-6.2.07
9:50a-10:30aCoffeeEE/CS 3-176 W5.29-6.2.07
10:30a-11:20aGeometric representation of rigidity-related matroidsIleana Streinu (Smith College)EE/CS 3-180 W5.29-6.2.07
11:20a-1:30pLunch W5.29-6.2.07
1:30p-2:00pGeometric and topological inference in the non linear realm: on the importance of singularity theoryFrederic Cazals (Institut National de Recherche en Informatique Automatique (INRIA))EE/CS 3-180 W5.29-6.2.07
2:00p-2:30pBezier subdivision for inverse molecular kinematicsMing Zhang (University of Texas)EE/CS 3-180 W5.29-6.2.07
2:30p-3:10pCoffeeEE/CS 3-176 W5.29-6.2.07
3:10p-3:40pBezout's theorem and implicitizationCarlos D'Andrea (University of Barcelona)EE/CS 3-180 W5.29-6.2.07
3:50p-4:20pSecond ChancesEE/CS 3-180 W5.29-6.2.07

Saturday, June 2

8:30a-9:00aCoffeeEE/CS 3-176 W5.29-6.2.07
9:00a-9:50aAlgebraic splines for molecular modelingChandrajit L. Bajaj (University of Texas)EE/CS 3-180 W5.29-6.2.07
9:50a-10:30aCoffeeEE/CS 3-176 W5.29-6.2.07
10:30a-11:20aTopics in curve and surface implicitizationDavid A. Cox (Amherst College)EE/CS 3-180 W5.29-6.2.07
11:30a-12:00pSecond Chances and closing remarksEE/CS 3-180 W5.29-6.2.07

Monday, June 4

8:30a-8:50aCoffeeLind Hall 400 ND6.4-15.07
8:50a-9:00aWelcome and introductionDouglas N. Arnold (University of Minnesota Twin Cities)Lind Hall 409 ND6.4-15.07
9:00a-10:30aSparsity Emmanuel J. Candès (California Institute of Technology)Lind Hall 409 ND6.4-15.07
10:30a-11:00aBreakLind Hall 400 ND6.4-15.07
11:00a-12:30pSignal encodingRonald DeVore (University of South Carolina)Lind Hall 409 ND6.4-15.07
12:30p-2:00aLunch ND6.4-15.07
2:00p-3:30pShort presentations by participantsLind Hall 409 ND6.4-15.07
3:45p-4:00pGroup Photo ND6.4-15.07
4:00p-5:00pReceptionLind Hall 400 ND6.4-15.07

Tuesday, June 5

8:45a-9:00aCoffeeLind Hall 400 ND6.4-15.07
9:00a-10:30aSparsity and the l1 normEmmanuel J. Candès (California Institute of Technology)Lind Hall 409 ND6.4-15.07
10:30a-11:00aBreakLind Hall 400 ND6.4-15.07
11:00a-12:30pCompression Ronald DeVore (University of South Carolina)Lind Hall 409 ND6.4-15.07
12:30p-2:00pLunch ND6.4-15.07
2:00p-3:00pIntroduction to MRILeon Axel (New York University)
Steen Moeller (University of Minnesota Twin Cities)
Lind Hall 409 ND6.4-15.07
3:00p-4:30pDiscussionLind Hall 409 ND6.4-15.07

Wednesday, June 6

8:45a-9:00aCoffeeLind Hall 400 ND6.4-15.07
9:00a-10:30aCompressive sampling: sparsity and incoherence Emmanuel J. Candès (California Institute of Technology)Lind Hall 409 ND6.4-15.07
10:30a-11:00aBreakLind Hall 400 ND6.4-15.07
11:00a-12:30pDiscrete compressed sensingRonald DeVore (University of South Carolina)Lind Hall 409 ND6.4-15.07
11:15a-12:30pAlgebraic geometry and applications seminar: A symbolic approach to sparse eliminationGabriela Jeronimo (University of Buenos Aires)Lind Hall 302 AGS
12:30p-2:00pLunch ND6.4-15.07
2:00p-3:00pShort presentations by participantsLind Hall 409 ND6.4-15.07
3:00p-3:30pDiscussionLind Hall 409 ND6.4-15.07
6:30p-8:30pGroup dinner at KikugawaKikugawa, 43 Main Street SE, Minneapolis, MN 55414 ND6.4-15.07

Thursday, June 7

8:45a-9:00aCoffeeLind Hall 400 ND6.4-15.07
9:00a-10:30aThe uniform uncertainty principleEmmanuel J. Candès (California Institute of Technology)Lind Hall 409 ND6.4-15.07
10:30a-11:00aBreakLind Hall 400 ND6.4-15.07
11:00a-12:30pThe restricted isometry property (RIP)Ronald DeVore (University of South Carolina)Lind Hall 409 ND6.4-15.07
11:15a-12:30pReal algebraic geometry tutorial: Border Bases (continued) Kenneth R. Driessel (Iowa State University)Lind Hall 305 RAG
12:30p-2:00pLunch ND6.4-15.07
2:00p-3:00pAlgorithms for Compressed Sensing, IAnna Gilbert (University of Michigan)Lind Hall 409 ND6.4-15.07
3:00p-3:30pDiscussionLind Hall 409 ND6.4-15.07

Friday, June 8

8:45a-9:00aCoffeeLind Hall 400 ND6.4-15.07
9:00a-10:30aThe role of probability in compressive samplingEmmanuel J. Candès (California Institute of Technology)Lind Hall 409 ND6.4-15.07
10:30a-11:00aBreakLind Hall 400 ND6.4-15.07
11:00a-12:30pConstruction of CS matrices with best RIPRonald DeVore (University of South Carolina)Lind Hall 409 ND6.4-15.07
12:30p-2:00pLunch ND6.4-15.07
2:00p-3:00pAlgorithms for Compressed Sensing, IIAnna Gilbert (University of Michigan)Lind Hall 409 ND6.4-15.07
3:00p-3:30pDiscussionLind Hall 409 ND6.4-15.07

Saturday, June 9

All DayNo lecture scheduled. ND6.4-15.07

Sunday, June 10

All DayNo lecture scheduled. ND6.4-15.07

Monday, June 11

8:45a-9:00aCoffeeLind Hall 400 ND6.4-15.07
9:00a-10:30aRobust compressive sampling and connections with statistics Emmanuel J. Candès (California Institute of Technology)Lind Hall 409 ND6.4-15.07
10:30a-11:00aBreakLind Hall 400 ND6.4-15.07
11:00a-12:30pPerformance of CS matrices revisitedRonald DeVore (University of South Carolina)Lind Hall 409 ND6.4-15.07
12:30p-2:00pLunch ND6.4-15.07
2:00p-3:00pAn introduction to transform codingRichard Baraniuk (Rice University)Lind Hall 409 ND6.4-15.07
3:00p-3:30pDiscussion/breakLind Hall 409 ND6.4-15.07
3:30p-4:30pCompressive sensing for time signals: Analog to information conversionRichard Baraniuk (Rice University)Lind Hall 409 ND6.4-15.07

Tuesday, June 12

8:45a-9:00aCoffeeLind Hall 400 ND6.4-15.07
9:00a-10:30aRobust compressive sampling and connections with statistics (continued)Emmanuel J. Candès (California Institute of Technology)Lind Hall 409 ND6.4-15.07
10:30a-11:00aBreakLind Hall 400 ND6.4-15.07
11:00a-12:30pPerformance in probabilityRonald DeVore (University of South Carolina)Lind Hall 409 ND6.4-15.07
12:30p-2:00pLunch ND6.4-15.07
2:00p-3:00pCompressive sensing for detection and classification problemsRichard Baraniuk (Rice University)Lind Hall 409 ND6.4-15.07
3:00p-3:30pDiscussion/breakLind Hall 409 ND6.4-15.07
3:30p-4:30pMulti-signal, distributed compressive sensingRichard Baraniuk (Rice University) ND6.4-15.07

Wednesday, June 13

8:45a-9:00aCoffeeLind Hall 400 ND6.4-15.07
9:00a-10:30aConnections with information and coding theory Emmanuel J. Candès (California Institute of Technology)Lind Hall 409 ND6.4-15.07
10:30a-11:00aBreakLind Hall 400 ND6.4-15.07
11:00a-12:30pCompressive imaging with a single pixel cameraRichard Baraniuk (Rice University)Lind Hall 409 ND6.4-15.07
12:30p-2:00pLunch ND6.4-15.07
2:00p-3:00pDecodersRonald DeVore (University of South Carolina)Lind Hall 409 ND6.4-15.07
3:00p-3:30pDiscussionLind Hall 409 ND6.4-15.07

Thursday, June 14

8:45a-9:00aCoffeeLind Hall 400 ND6.4-15.07
9:00a-10:30aModern convex optimization Emmanuel J. Candès (California Institute of Technology)Lind Hall 409 ND6.4-15.07
10:30a-11:00aBreakLind Hall 400 ND6.4-15.07
11:00a-12:30pPerformance of iterated least squaresRonald DeVore (University of South Carolina)Lind Hall 409 ND6.4-15.07
11:15a-12:15pReal algebraic geometry tutorial: Border Bases (continued)Kenneth R. Driessel (Iowa State University)Lind Hall 305 RAG
12:30p-2:00pLunch ND6.4-15.07
2:00p-3:00pShort presentations by participantsLind Hall 409 ND6.4-15.07
3:00p-3:30pDiscussionLind Hall 409 ND6.4-15.07

Friday, June 15

8:45a-9:00aCoffeeLind Hall 400 ND6.4-15.07
9:00a-10:30aApplications, experiments and open problems Emmanuel J. Candès (California Institute of Technology)Lind Hall 409 ND6.4-15.07
10:30a-10:45aBreakLind Hall 400 ND6.4-15.07
10:45a-11:45aDeterministic constructions of CS MatricesRonald DeVore (University of South Carolina)Lind Hall 409 ND6.4-15.07

Thursday, June 21

11:15a-12:15pReal algebraic geometry tutorial: Border bases (continued) Kenneth R. Driessel (Iowa State University)Lind Hall 409 RAG

Thursday, June 28

11:15a-12:15pReal algebraic geometry tutorial: Border bases (continued)Kenneth R. Driessel (Iowa State University)Lind Hall 409 RAG
Abstracts
Short presentations by participants
Abstract: No Abstract
Douglas N. Arnold (University of Minnesota Twin Cities) Welcome and introduction
Abstract: No Abstract
Leon Axel (New York University), Steen Moeller (University of Minnesota Twin Cities) Introduction to MRI
Abstract: No Abstract
Chandrajit L. Bajaj (University of Texas) Algebraic splines for molecular modeling
Abstract: This talk shall describe a survey of algebraic spline (A-spline and A-patch) construction techniques for capturing molecular surfaces and implicit solvation shells (models for molecules in their watery environment). These molecular surfaces are obtained from either atomic 3D coordinates (scattered data) of the molecule, or segmented 3D electron microscopy maps (dense data). For 3D maps at 5- 20 Angstrom resolution, I shall also present algebraic spline algorithms to detect and represent secondary (helices, sheets) and/or tertiary (sandwiches, barrels, etc.) structural molecular models. For these latter algorithms, we employ techniques from computational algebraic geometry and differential topology, especially the computation of stable/unstable manifolds of certain critical points of distance functions of molecular surface boundaries.
Richard Baraniuk (Rice University) Compressive imaging with a single pixel camera
Abstract: No Abstract
Emmanuel J. Candès (California Institute of Technology) Applications, experiments and open problems
Abstract: We discuss several applications of compressive sampling in the area of analog-to-digital conversion and biomedical imaging and review some numerical experiments in new directions. We conclude by exposing the participants to some important open problems.
Frederic Cazals (Institut National de Recherche en Informatique Automatique (INRIA)) Geometric and topological inference in the non linear realm: on the importance of singularity theory
Abstract: In the non linear realm, a powerful way to describe complex shapes is in terms of stratifications, that is topological disks together with the proper incidences, so as to define some kind of complex (cell, CW, etc). In particular, singularity theory provides a convenient way to specify such incidences through local normal forms, the parametric form of the topological disks depending on the particular problem investigated. We shall review two examples illustrating this framework in 3D : the detection of loci of extremal curvature of smooth surfaces (the so-called ridges), and the calculation of the Morse-Smale complex of the distance function to points in 3D space (the so-called flow complex). We shall conclude with perspectives arising in trying to generalize such approaches in higher dimension.
David A. Cox (Amherst College) Topics in curve and surface implicitization
Abstract: This lecture will discuss several topics related to curve and surface implicitization, including the structure of the moving curve ideal, the construction of mu-bases for surface implicitizations, and the resultant of the mu-basis.
Carlos D'Andrea (University of Barcelona) Bezout's theorem and implicitization
Abstract: This is a joint work with Martin Sombra. The computation of the implicit equations of polynomial and rational parametrizations is always a hot topic in Computational Algebraic Geometry and CAGD. Recently, a lot of attention has been given to the computation of the Newton Polytope of the implicit equation, given the supports of the parametrization (sparse philosophy). In this talk, we will show how the use of classical intersection theory in the torus can give us non-trivial information about this Newton Polytope. As an application of these results, we can give a complete description of the Newton Polytope of the implicit equation of a generic plane rational curve.
Ronald DeVore (University of South Carolina) Deterministic constructions of CS Matrices
Abstract: Constructions from finite fields, circulant matrices.
Kenneth R. Driessel (Iowa State University) Real algebraic geometry tutorial: Border bases (continued)
Abstract: We discussed border bases on May 21 and June 7 June 14 and June 21. We shall continue that discussion. I continue to look at the following books and papers: Kehrein, A; Kreuzer, M. and Robbiano, L. (2005) "An algebraist's view of border basis", in Dickenstein, A. and Emiris, I.Z. (2005), Solving Polynomial Equations}, Springer. Mourrain, B. (1999) "A new criterion for normal form algorithms", in Applied algebra, algebraic algorithms and error-correcting codes (Honolulu, HI, 1999), 430-443, Lecture Notes in Computer Science, 1719, Springer. Stetter, H.J. (2004) Numerical Polynomial Algebra, SIAM. I plan to mainly follow the last few chapters in the book by Stetter. As usual, I shall try to minimize prerequisites.
Anna Gilbert (University of Michigan) Algorithms for Compressed Sensing, II
Abstract: What do these algorithms all have in common? What are the common goals of the problems and how do they achieve them? I will discuss several known techniques and open problems.
Manfred Husty (Leopold-Franzens Universität Innsbruck) Application of algebraic geometry to kinematics
Abstract: Algebraic methods in connection with classical multidimensional geometry have proven to be very efficient in the computation of direct and inverse kinematics of mechanisms as well as the explanation of strange, pathological behaviour of mechanical systems. Generally one can say that every planar, spherical or spatial mechanism having revolute or prismatic joints can be described by systems of algebraic equations. In this talk we give an overview of the results achieved within the last years using algebraic geometric methods, geometric preprocessing and numerical analysis. We provide the mathematical and geometrical background, like Study's parametrization of the Euclidean motion group, the ideals belonging to mechanism constraints The methods are explained with different examples from mechanism analysis and synthesis.
Gabriela Jeronimo (University of Buenos Aires) Algebraic geometry and applications seminar: A symbolic approach to sparse elimination
Abstract: Sparse elimination is concerned with systems of polynomial equations in which each equation is given by a polynomial having non-zero coefficients only for those monomials lying in a prescribed set. We will discuss a new symbolic procedure for solving zero-dimensional sparse polynomial systems by means of deformation techniques. Roughly speaking, a deformation method to solve a zero-dimensional polynomial equation system works as follows: the input system is regarded as a member of a parametric family of zero-dimensional systems. Then, the solutions to a particular parametric instance which is ``easy to solve'' are computed and, finally, these solutions enable one to recover the solutions of the original system. The algorithm combines the polyhedral deformation introduced by Huber and Sturmfels with symbolic techniques relying on the Newton-Hensel lifting procedure. Its running time can be estimated mainly in terms of the input length and two invariants related to the combinatorial structure underlying the problem.
Ileana Streinu (Smith College) Geometric representation of rigidity-related matroids
Abstract: Sparsity matroids generalize the combinatorics behind several types of rigidity (2D bar-and-joint, arbitrary dimension body-and-bar, etc.). A conspicuous open problem is to find geometric representations for ALL of them. We present some partial answers. This is joint work with Louis Theran from UMass Amherst.
Ming Zhang (University of Texas) Bezier subdivision for inverse molecular kinematics
Abstract: Conformational searching is a core task in inverse molecular kinematics. Algorithmic improvements affecting either the speed or quality of conformational searching will have a profound impact on applications including ligand-receptor docking, ab initio prediction of protein structure, and protein folding. In this talk, we focus on a specific geometry-constrained conformational searching problem, where some feature atoms have pre-specified target positions. Using Bezier subdivision, we present a method to locate and approximate the solutions of the equations derived from constraints on the feature atoms. The conformations corresponding to these solutions are all the conformations satisfying the target constraints. Three implementations of the subdivision method taking advantage of the sparsity of the coefficients of the polynomial equations are presented and the results are compared.
Visitors in Residence
Iman Aganj University of Minnesota Twin Cities 6/1/2007 - 6/1/2007
Pankaj Kumar Agarwal Duke University 5/28/2007 - 6/2/2007
Jungha An University of Minnesota Twin Cities 9/1/2005 - 8/31/2007
D. Gregory Arnold US Air Force Research Laboratory 6/18/2007 - 6/20/2007
Douglas N. Arnold University of Minnesota Twin Cities 7/15/2001 - 8/31/2008
Donald G. Aronson University of Minnesota Twin Cities 9/1/2002 - 8/31/2007
Leon Axel New York University 6/3/2007 - 6/15/2007
Xue Bai University of Minnesota Twin Cities 6/1/2007 - 6/1/2007
Chandrajit L. Bajaj University of Texas 5/30/2007 - 6/2/2007
Richard Baraniuk Rice University 6/11/2007 - 6/13/2007
Hélène Barcelo Arizona State University 5/7/2007 - 6/1/2007
Phillip Barry University of Minnesota Twin Cities 5/29/2007 - 6/2/2007
Saugata Basu Georgia Institute of Technology 4/4/2007 - 6/30/2007
Daniel J. Bates University of Minnesota Twin Cities 9/1/2006 - 8/31/2008
Peter W. Bates Michigan State University 6/20/2007 - 6/21/2007
John Baxter University of Minnesota Twin Cities 6/20/2007 - 6/20/2007
Yermal Sujeet Bhat University of Minnesota Twin Cities 9/1/2006 - 8/31/2008
William Blair Northern Illinois University 6/19/2007 - 6/21/2007
Anthony M. Bloch University of Michigan 6/19/2007 - 6/21/2007
Albert Boggess Texas A & M University 6/19/2007 - 6/21/2007
Ciprian S. Borcea Rider University 5/28/2007 - 6/2/2007
Laurent Busé Institut National de Recherche en Informatique Automatique (INRIA) 5/27/2007 - 6/3/2007
Leslie Button Corning 6/19/2007 - 6/21/2007
Emmanuel J. Candès California Institute of Technology 6/3/2007 - 6/15/2007
Frederic Cazals Institut National de Recherche en Informatique Automatique (INRIA) 5/28/2007 - 6/2/2007
Adarsh Chandran University of Minnesota Twin Cities 6/1/2007 - 6/1/2007
Sohae Chung New York University 6/3/2007 - 6/15/2007
Ionut Ciocan-Fontanine University of Minnesota Twin Cities 9/1/2006 - 6/30/2007
David A. Cox Amherst College 5/28/2007 - 6/2/2007
Gheorghe Craciun University of Wisconsin 6/19/2007 - 6/20/2007
Steven Benjamin Damelin Georgia Southern University 6/3/2007 - 6/17/2007
Carlos D'Andrea University of Barcelona 5/28/2007 - 6/8/2007
Isabel Darcy University of Iowa 6/19/2007 - 6/21/2007
Ronald DeVore University of South Carolina 6/3/2007 - 6/15/2007
Alicia Dickenstein University of Buenos Aires 5/23/2007 - 6/2/2007
Sandra Di Rocco Royal Institute of Technology (KTH) 4/4/2007 - 6/4/2007
Tor Dokken SINTEF 5/28/2007 - 6/3/2007
Kenneth R. Driessel Iowa State University 9/1/2006 - 8/3/2007
Amr S. El-Bakry ExxonMobil 6/19/2007 - 6/21/2007
Fayssal El Moufatich Vodafone Group R&D Germany 5/28/2007 - 6/3/2007
Ioannis Z. Emiris National University of Athens 5/2/2007 - 6/2/2007
Dean M. Evasius National Science Foundation 6/3/2007 - 6/8/2007
Makan Fardad University of Minnesota Twin Cities 8/26/2006 - 6/30/2007
Michael S. Floater University of Oslo 5/28/2007 - 6/2/2007
Andre Galligo Université de Nice Sophia Antipolis 5/28/2007 - 6/3/2007
Xabier Garaizar Lawrence Livermore National Laboratory 6/19/2007 - 6/21/2007
Luis Garcia-Puente Texas A & M University 5/29/2007 - 6/3/2007
Tryphon T. Georgiou University of Minnesota Twin Cities 5/30/2007 - 6/2/2007
Anna Gilbert University of Michigan 6/7/2007 - 6/8/2007
Albert Gilg Siemens AG 6/19/2007 - 6/21/2007
Sonja Glavaski Honeywell Systems and Research Center 6/20/2007 - 6/20/2007
Xavier Goaoc Institut National de Recherche en Informatique Automatique (INRIA)-Lorraine 5/26/2007 - 6/2/2007
Mark S. Gockenbach Michigan Technological University 6/19/2007 - 6/20/2007
Ron Goldman Rice University 5/28/2007 - 6/3/2007
Laureano Gonzalez-Vega University of Cantabria 5/20/2007 - 6/5/2007
Jason E. Gower University of Minnesota Twin Cities 9/1/2006 - 8/31/2008
Lawrence Gray University of Minnesota Twin Cities 6/20/2007 - 6/20/2007
Hongbin Guo Arizona State University 6/3/2007 - 6/15/2007
Milena Hering University of Minnesota Twin Cities 9/1/2006 - 8/31/2008
Christopher Hillar Texas A & M University 5/28/2007 - 6/6/2007
Keigo Hirakawa Harvard University 6/3/2007 - 6/15/2007
John R. Hoffman Lockheed Martin Missiles and Space Company, Inc. 6/20/2007 - 6/20/2007
Leslie Hogben Iowa State University 6/19/2007 - 6/21/2007
Olga Holtz TU Berlin 6/4/2007 - 6/9/2007
Benjamin J. Howard University of Minnesota Twin Cities 9/1/2006 - 8/21/2007
Evelyne Hubert Institut National de Recherche en Informatique Automatique (INRIA) 9/1/2006 - 6/30/2007
Manfred Husty Leopold-Franzens Universität Innsbruck 5/28/2007 - 6/3/2007
Michel E. Jabbour University of Kentucky 6/19/2007 - 6/22/2007
Farhad Jafari University of Wyoming 9/1/2006 - 6/30/2007
Ravi Janardan University of Minnesota Twin Cities 5/29/2007 - 6/2/2007
Itnuit Janovitz-Freireich North Carolina State University 5/29/2007 - 6/2/2007
Anders Nedergaard Jensen Aarhus University 9/6/2006 - 6/30/2007
Gabriela Jeronimo University of Buenos Aires 4/15/2007 - 6/9/2007
Richard K. Jordan Mount Holyoke College 6/3/2007 - 6/15/2007
Steve Kaliszewski Arizona State University 1/7/2007 - 6/30/2007
Sheldon Katz University of Illinois at Urbana-Champaign 6/19/2007 - 6/21/2007
Stephen Keeler The Boeing Company 6/19/2007 - 6/21/2007
Michael Kerber Max-Planck-Institut für Informatik 5/27/2007 - 6/3/2007
Michael Kettner Georgia Institute of Technology 5/28/2007 - 6/6/2007
John Keyser Texas A & M University 5/29/2007 - 6/2/2007
In-Jae Kim Minnesota State University 6/3/2007 - 6/15/2007
Erica Zimmer Klampfl Ford Motor Company 6/19/2007 - 6/21/2007
Eric J. Kostelich Arizona State University 6/19/2007 - 6/21/2007
Rimvydas Krasauskas Vilnius State University 5/20/2007 - 6/20/2007
Ilya A Krishtal Northern Illinois University 6/3/2007 - 6/15/2007
Devadatta Kulkarni General Motors Corporation 6/19/2007 - 6/21/2007
Song-Hwa Kwon University of Minnesota Twin Cities 8/30/2005 - 8/31/2007
Oliver Labs Universität des Saarlandes 5/28/2007 - 6/3/2007
Niels Lauritzen Aarhus University 8/28/2006 - 7/10/2007
Sylvain Lazard Institut National de Recherche en Informatique Automatique (INRIA)-Lorraine 5/28/2007 - 6/3/2007
Richard Lehoucq Sandia National Laboratories 6/19/2007 - 6/21/2007
Raoul LePage Michigan State University 6/3/2007 - 6/15/2007
Anton Leykin University of Minnesota Twin Cities 8/16/2006 - 8/15/2008
Wing Suet Li Georgia Institute of Technology 6/19/2007 - 6/21/2007
Xiantao Li Pennsylvania State University 6/19/2007 - 6/21/2007
Hstau Y Liao University of Minnesota Twin Cities 9/2/2005 - 8/31/2007
Hstau Y Liao University of Minnesota Twin Cities 6/3/2007 - 6/15/2007
En-Bing Lin University of Toledo 6/3/2007 - 6/16/2007
John Luecke University of Texas 6/19/2007 - 6/21/2007
Laura Lurati University of Minnesota Twin Cities 9/1/2006 - 8/31/2008
Suping Lyu Medtronic 6/20/2007 - 6/20/2007
Gennady Lyubeznik University of Minnesota Twin Cities 9/1/2006 - 6/30/2007
Juan J. Manfredi University of Pittsburgh 6/19/2007 - 6/21/2007
Hannah Markwig University of Minnesota Twin Cities 9/1/2006 - 8/31/2007
Thomas Markwig Universität Kaiserslautern 9/1/2006 - 6/30/2007
Kurt Mehlhorn Max-Planck-Institut für Informatik 5/28/2007 - 6/1/2007
Piotr Mikusinski University of Central Florida 6/19/2007 - 6/21/2007
Richard B. Moeckel University of Minnesota Twin Cities 9/1/2006 - 6/30/2007
Steen Moeller University of Minnesota Twin Cities 6/3/2007 - 6/15/2007
Brian Moore Johann Radon Institute for Computational and Applied Mathematics 5/28/2007 - 6/2/2007
Bernard Mourrain Institut National de Recherche en Informatique Automatique (INRIA) 5/27/2007 - 6/3/2007
Edmond Nadler NONE 6/3/2007 - 6/15/2007
Uwe Nagel University of Kentucky 9/1/2006 - 6/1/2007
Andrea R. Nahmod University of Massachusetts 6/3/2007 - 6/15/2007
Carmeliza Navasca Centre National de la Recherche Scientifique (CNRS) 6/2/2007 - 6/16/2007
Jiawang Nie University of Minnesota Twin Cities 9/1/2006 - 8/31/2007
Dmitrii Pasechnik Nanyang Technological University 5/14/2007 - 6/14/2007
Martin Peternell Technische Universität Wien 5/28/2007 - 6/3/2007
Jorg Peters University of Florida 5/28/2007 - 6/2/2007
Guergana Petrova Texas A & M University 6/3/2007 - 6/15/2007
Ragni Piene University of Oslo 5/28/2007 - 6/2/2007
Rodrigo B. Platte Arizona State University 6/3/2007 - 6/15/2007
Leming Qu Boise State University 6/3/2007 - 6/15/2007
Bharath Rangarajan University of Minnesota Twin Cities 5/29/2007 - 6/2/2007
Tomas Recio University of Cantabria 5/28/2007 - 6/3/2007
Victor Reiner University of Minnesota Twin Cities 9/1/2006 - 6/30/2007
Joel Roberts University of Minnesota Twin Cities 9/1/2006 - 6/30/2007
Marie Rognes University of Oslo 1/10/2007 - 6/30/2007
Amos Ron University of Wisconsin 6/4/2007 - 6/15/2007
Stergios I. Roumeliotis University of Minnesota Twin Cities 5/29/2007 - 6/2/2007
Bjarke Hammersholt Roune Aarhus University 9/12/2006 - 6/30/2007
Hans Rullgård University of Stockholm 6/3/2007 - 6/16/2007
David Rusin Northern Illinois University 5/27/2007 - 6/2/2007
Chris Sansing Department of Defense 6/3/2007 - 6/15/2007
Guillermo R. Sapiro University of Minnesota Twin Cities 6/3/2007 - 6/15/2007
Arnd Scheel University of Minnesota Twin Cities 7/15/2004 - 8/31/2007
Chehrzad Shakiban University of Minnesota Twin Cities 9/1/2006 - 8/31/2008
David H. Sharp Los Alamos National Laboratory 6/19/2007 - 6/21/2007
Xiaoping Annie Shen Ohio University 6/3/2007 - 6/15/2007
Ratnasingham Shivaji Mississippi State University 6/19/2007 - 6/21/2007
Donald H. Singley 3M 5/30/2007 - 6/2/2007
Danny C. Sorensen Rice University 6/19/2007 - 6/20/2007
Frank Sottile Texas A & M University 2/26/2007 - 6/30/2007
Steven Sperber University of Minnesota Twin Cities 9/1/2006 - 6/30/2007
Reinhard Steffens Johann Wolfgang Goethe-Universität Frankfurt 5/28/2007 - 6/3/2007
Ileana Streinu Smith College 5/28/2007 - 6/2/2007
Agnes Szanto North Carolina State University 5/28/2007 - 6/1/2007
Thorsten Theobald Johann Wolfgang Goethe-Universität Frankfurt 5/28/2007 - 6/2/2007
Louis Theran University of Massachusetts 5/28/2007 - 6/2/2007
Carl Toews University of Minnesota Twin Cities 9/1/2005 - 8/31/2007
Rodolfo H. Torres University of Kansas 6/5/2007 - 6/15/2007
Elias P. Tsigaridas Institut National de Recherche en Informatique Automatique (INRIA) 5/26/2007 - 6/3/2007
John Voight University of Minnesota Twin Cities 8/15/2006 - 8/31/2007
Jingbo Wang Exxon Research and Engineering Company 6/3/2007 - 6/8/2007
Shouhong Wang Indiana University 6/19/2007 - 6/21/2007
Wenping Wang University of Hong Kong 5/26/2007 - 6/1/2007
Nicola Wolpert Stuttgart University of Applied Sciences 5/27/2007 - 6/3/2007
William Wood Corning 5/28/2007 - 6/4/2007
Fei Yang University of Minnesota Twin Cities 5/29/2007 - 6/2/2007
Josephine Yu University of California 1/9/2007 - 6/30/2007
Hongchao Zhang University of Minnesota Twin Cities 9/1/2006 - 8/31/2008
Ming Zhang University of Texas 5/31/2007 - 6/3/2007
Yi Ming Zou University of Wisconsin 6/3/2007 - 6/15/2007
Severinas Zube Vilnius State University 5/28/2007 - 6/3/2007
Legend: Postdoc or Industrial Postdoc Long-term Visitor

IMA Affiliates:
3M, Boeing, Carnegie-Mellon University, Corning, ExxonMobil, Ford, General Electric, General Motors, Georgia Institute of Technology, Honeywell, IBM, Indiana University, Iowa State University, Johnson & Johnson, Kent State University, Lawrence Livermore National Laboratory, Lockheed Martin, Los Alamos National Laboratory, Medtronic, Michigan State University, Michigan Technological University, Microsoft Research, Mississippi State University, Motorola, Northern Illinois University, Ohio State University, Pennsylvania State University, Purdue University, Rice University, Rutgers University, Sandia National Laboratories, Schlumberger-Doll, Schlumberger-Doll Research, Seoul National University, Siemens, Telcordia, Texas A & M University, University of Chicago, University of Cincinnati, University of Delaware, University of Houston, University of Illinois at Urbana-Champaign, University of Iowa, University of Kentucky, University of Maryland, University of Michigan, University of Minnesota, University of Notre Dame, University of Pittsburgh, University of Tennessee, University of Texas, University of Wisconsin, University of Wyoming, US Air Force Research Laboratory, Wayne State University, Worcester Polytechnic Institute