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College of William and Mary | |
Rutgers, The State University Of New Jersey | |
Vrije Universiteit |
Homological quantities provide robust computable invariants of dynamical systems well-adapted to numerical methods. As a consequence, several groups have actively implemented algebraic topological invariants to characterize the qualitative behavior of dynamical systems. Examples include tracking patterns of nodal domains, proving the existence of invariant sets in infinite-dimensional systems, and generating forcing theories for invariant sets based on topological indices. Extensions of Morse-theoretic ideas due to Conley (in the finite-dimensional setting) and Floer (in the infinite-dimensional cases) are especially relevant and are active foci of current techniques in applied dynamical systems. This workshop will bring together researchers in topological methods with those working in differential equations and the physical sciences.
Monday | Tuesday | Wednesday | Thursday | Friday | | |||
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Monday February 10, 2014 | |||
8:00am-8:45am | Registration | Keller Hall 3-176 | |
8:45am-9:00am | Welcome | Keller Hall 3-180 | |
9:00am-9:50am | High Dimensional Data: Nonlinear Dynamics and Algebraic Topology | Konstantin Mischaikow (Rutgers, The State University Of New Jersey) | Keller Hall 3-180 |
9:50am-10:15am | Break | Keller Hall 3-176 | |
10:15am-11:05am | Semigroups and the Study of Coupled Cell Networks | Bob Rink (Vrije Universiteit) | Keller Hall 3-180 |
11:05am-11:30am | Break | Keller Hall 3-176 | |
11:30am-12:20pm | Dynamical Coordination of Agents through Hierarchies | Daniel Koditschek (University of Pennsylvania) | Keller Hall 3-180 |
12:20pm-2:00pm | Lunch | ||
2:00pm-2:50pm | Robust Algorithms for Vector Field Topology | Andrzej Szymczak (Colorado School of Mines) | Keller Hall 3-180 |
2:50pm-3:15pm | Break | Keller Hall 3-176 | |
3:15pm-4:05pm | Computational Topology and Time-series Analysis | Elizabeth Bradley (University of Colorado) | Keller Hall 3-180 |
4:05pm-5:00pm | Discussion | Keller Hall 3-180 | |
6:00pm-8:00pm | Social Hour at Republic Map | 221 Cedar Ave Minneapolis, MN | |
Tuesday February 11, 2014 | |||
8:30am-9:00am | Coffee | Keller Hall 3-176 | |
9:00am-9:50am | Discussion | Keller Hall 3-180 | |
9:50am-10:15am | Break | Keller Hall 3-176 | |
10:15am-11:05am | Randomized Adaptive Topology Validation for Nodal Domains | Thomas Wanner (George Mason University) | Keller Hall 3-180 |
11:05am-11:15am | Group Photo | Keller Hall 3-180 | |
11:15am-11:30am | Break | Keller Hall 3-176 | |
11:30am-12:20pm | A Maslov Index for PDEs | Christopher Jones (University of North Carolina) | Keller Hall 3-180 |
12:20pm-2:00pm | Lunch | ||
2:00pm-2:50pm | Outer Approximation and Dynamics via Conley Index Theory | Sarah Day (College of William and Mary) | Keller Hall 3-180 |
2:50pm-3:15pm | Break | Keller Hall 3-176 | |
3:15pm-4:05pm | Characterizing Spatio-temporal Complexity in Fluid Flow Using Computational Homology | Michael Schatz (Georgia Institute of Technology) | Keller Hall 3-180 |
4:05pm-6:00pm | Poster SessionLind Hall 400 | ||
Wednesday February 12, 2014 | |||
8:30am-9:00am | Coffee | Keller Hall 3-176 | |
9:00am-9:50am | Computational Homology, Networks and Structures in Granular Materials | Robert Behringer (Duke University) | Keller Hall 3-180 |
9:50am-10:15am | Break | Keller Hall 3-176 | |
10:15am-11:05am | Self Similar Solutions to Curve Shortening in Rn | Sigurd Angenent (University of Wisconsin, Madison) | Keller Hall 3-180 |
11:05am-11:30am | Break | Keller Hall 3-176 | |
11:30am-12:20pm | The Topology of Fluid Mixing | Jean-Luc Thiffeault (University of Wisconsin, Madison) | Keller Hall 3-180 |
12:20pm-2:00pm | Lunch | ||
2:00pm-2:50pm | Arnold Diffusion Phenomena in Celestial Mechanics | Marian Gidea (Yeshiva University) | Keller Hall 3-180 |
2:50pm-3:15pm | Break | Keller Hall 3-176 | |
3:15pm-4:05pm | Analyzing the Dynamics of Pattern Formation in the Space of Persistence Diagrams | Miroslav Kramar (Rutgers, The State University Of New Jersey) | Keller Hall 3-180 |
4:05pm-5:00pm | Discussion | Keller Hall 3-180 | |
8:00pm-9:00pm | Informal Social Event | ||
Thursday February 13, 2014 | |||
8:30am-9:00am | Coffee | Keller Hall 3-176 | |
9:00am-9:50am | Discussion | Keller Hall 3-180 | |
9:50am-10:15am | Break | Keller Hall 3-176 | |
10:15am-11:05am | Analysis of Global Dynamics from Experimental Data: Case Studies | Hiroshi Kokubu (Kyoto University) | Keller Hall 3-180 |
11:05am-11:30am | Break | Keller Hall 3-176 | |
11:30am-12:20pm | Homology and Fundamental Group Algorithms via Forman's Discrete Morse Theory | Marian Mrozek (Jagiellonian University) | Keller Hall 3-180 |
12:20pm-2:00pm | Lunch | ||
2:00pm-2:50pm | Skeletonization and Partitioning of Digital Images Using Discrete Morse Theory | Vanessa Robins (Australian National University) | Keller Hall 3-180 |
2:50pm-3:15pm | Break | Keller Hall 3-176 | |
3:15pm-4:05pm | The Categorification of Applied Mathematics | Robert Ghrist (University of Pennsylvania) | Keller Hall 3-180 |
4:05pm-5:00pm | Discussion | Keller Hall 3-180 | |
8:00pm-9:00pm | Informal Social Event | ||
Friday February 14, 2014 | |||
8:30am-9:00am | Coffee | Keller Hall 3-176 | |
9:00am-9:50am | A New Gene Regulation Modeling Platform: Dynamics Database for Boolean Switching Networks | Tomas Gedeon (Montana State University) | Keller Hall 3-180 |
9:50am-10:15am | Break | Keller Hall 3-176 | |
10:15am-11:05am | Braided Solutions of Differential Equations | Jan Bouwe Van den Berg (Vrije Universiteit) | Keller Hall 3-180 |
11:05am-11:30am | Break | Keller Hall 3-176 | |
11:30am-12:30pm | Discussion | Keller Hall 3-180 |
NAME | DEPARTMENT | AFFILIATION |
---|---|---|
Henry Adams | Institute for Mathematics and its Applications | University of Minnesota Twin Cities |
Robert Adler | Department of Electrical Engineering | Technion-Israel Institute of Technology |
Praveen Agarwal | Department of Mathematics | Anand International College of Engineering |
Rodney Anderson | Mission Design and Navigation | California Institute of Technology |
Sigurd Angenent | Department of Mathematics | University of Wisconsin, Madison |
Sergio Ardanza-Trevijano | Department of Physics and Applied Mathematics | Universidad de Navarra |
Douglas Arnold | School of Mathematics | University of Minnesota, Twin Cities |
F. Javier Arsuaga | Department of Mathematics | San Francisco State University |
Yuliy Baryshnikov | Department of Mathematics | University of Illinois at Urbana-Champaign |
Marzieh Bayeh | Department of Mathematics and Statistics | University of Regina |
Robert Behringer | Department of Physics | Duke University |
Nitsan Ben-Gal | Institute for Mathematics and its Applications | University of Minnesota, Twin Cities |
Jesse Berwald | Institute for Mathematics and its Applications | University of Minnesota, Twin Cities |
Magnus Botnan | Department of Mathematical Sciences | Norwegian University of Science and Technology (NTNU) |
Elizabeth Bradley | Department of Computer Science | University of Colorado |
Marko Budisic | Department of Mathematics | University of Wisconsin, Madison |
Dan Burghelea | Mathematics | The Ohio State University |
Jaime Burgos-Garcia | Department of Mathematics | Yeshiva University |
Yiqing Cai | Institute for Mathematics and its Applications | University of Minnesota, Twin Cities |
Marta Canadell | Departament de Matematica Aplicada i Analisi | University of Barcelona |
Paul Carter | Department of Mathematics | Brown University |
Alhaji Cherif | Mathematical Institute | University of Oxford |
Frederick Cohen | Department of Mathematics | University of Rochester |
Justin Curry | Department of Mathematics | University of Pennsylvania |
Sarah Day | Department of Mathematics | College of William and Mary |
Rafael de la Llave | Department of Mathematics | Georgia Institute of Technology |
Vin de Silva | Department of Mathematics and Computer Science | Pomona College |
Juraj Foldes | Institute for Mathematics and its Applications | University of Minnesota, Twin Cities |
Adam Fox | Department of Mathematics | Georgia Institute of Technology |
Marcio Gameiro | Department of Mathematical and Computer Science | University of Sao Paulo and RIMS, Kyoto University |
Tomas Gedeon | Department of Mathematics | Montana State University |
Athanasios Gentimis | Department of Electrical and Computer Engineering | North Carolina State University |
Robert Ghrist | Department of Mathematics and Electrical/Systems Engineering | University of Pennsylvania |
Marian Gidea | Department of Mathematical Sciences | Yeshiva University |
Chad Giusti | Department of Mathematics | University of Nebraska |
Piyush Grover | Mechatronics | Mitsubishi Electric Research Laboratories |
Colin Grudzien | Department of Mathematics | University of North Carolina |
Shaun Harker | Department of Mathematics | Rutgers, The State University Of New Jersey |
Alex Haro | Departament de Matematica Aplicada i Analisi | University of Barcelona |
Anil Hirani | Department of Mathematics | University of Illinois at Urbana-Champaign |
Valerie Hower | Department of Mathematics | University of Miami |
Jonathan Jaquette | Department of Mathematics | Rutgers, The State University Of New Jersey |
Gabriela Jaramillo | Department of Mathematics | University of Minnesota, Twin Cities |
Christopher Jones | Department of Mathematics | University of North Carolina |
Mateusz Juda | Department of Computational Mathematics | Jagiellonian University |
Tomasz Kaczynski | Département de Mathématiques | University of Sherbrooke |
Matthew Kahle | Department of Mathematics | The Ohio State University |
William Kalies | Department of Mathematical Sciences | Florida Atlantic University |
Tomasz Kapela | Department of Mathematics and Computer Science | Jagiellonian University |
Firas Khasawneh | Department of Engineering, Science, and Mathematics | State University of New York Institute of Technology |
Daniel Koditschek | Department of Electrical and Systems Engineering | University of Pennsylvania |
Irina Kogan | Department of Mathematics | North Carolina State University |
Hiroshi Kokubu | Department of Mathematics | Kyoto University |
Lou Kondic | Mathematical Sciences | New Jersey Institute of Technology |
Miroslav Kramar | Department of Mathematics | Rutgers, The State University Of New Jersey |
Marek Krčál | Department of Mathematics | IST Austria |
Michael LaMar | Department of Biology | College of William and Mary |
Tyler Lawson | School of Mathematics | University of Minnesota, Twin Cities |
Michael Lesnick | Institute for Mathematics and its Applications | Institute for Advanced Study |
Jean-Philippe Lessard | Department of Mathematics and Statistics | Laval University |
Rachel Levanger | Department of Mathematics | Rutgers, The State University of New Jersey |
Ji Li | Institute for Mathematics and its Applications | University of Minnesota, Twin Cities |
Longfei Li | Department of Mathematical Sciences | University of Delaware |
Martin Lo | High Capability Computing & Modeling Group | National Aeronautics and Space Administration (NASA) |
Frank Lutz | Institut Fuer Mathematik, MA 5-2 | University of Copenhagen |
Richard McGehee | School of Mathematics | University of Minnesota, Twin Cities |
James Meiss | Department of Applied Mathematics | University of Colorado |
Jason Mireles-James | Department of Mathematics | Rutgers, The State University Of New Jersey |
Konstantin Mischaikow | Department of Mathematics | Rutgers, The State University Of New Jersey |
Anthea Monod | Department of Electrical Engineering | Technion-Israel Institute of Technology |
Marian Mrozek | Department of Computational Mathematics | Jagiellonian University |
Elizabeth Munch | Institute for Mathematics and its Applications | University of Minnesota Twin Cities |
Vidit Nanda | Department of Mathematics | University of Pennsylvania |
Junalyn Navarra-Madsen | Department of Mathematics and Computer Science | Texas Woman's University |
Amy Novick-Cohen | Department of Mathematics | Technion-Israel Institute of Technology |
Hiroe Oka | Deptartment of Applied Mathetics and Informatics | Ryukoku University |
Patrick O'Neil | Department of Mathematical Sciences | George Mason University |
Takashi Owada | Department of Electrial Engineering | Technion-Israel Institute of Technology |
June Park | School of Mathematics | University of Minnesota, Twin Cities |
Amit Patel | Institute for Mathematics and its Applications | Institute for Advanced Study |
Rui Peng | Institute for Mathematics and its Applications | University of Minnesota, Twin Cities |
Jose Perea | Department of Mathematics | Duke University |
Peter Polacik | School of Mathematics | University of Minnesota, Twin Cities |
Vimala Ramani | Department of Mathematics | Anna University |
Bob Rink | Department of Mathematics | Vrije Universiteit |
Vanessa Robins | Department of Applied Mathematics | Australian National University |
Nikola (Nick) Samardzija | Emerson Process Management | |
Evelyn Sander | Department of Mathematical Sciences | George Mason University |
Radmila Sazdanović | Department of Mathematics | North Carolina State University |
Michael Schatz | School of Physics | Georgia Institute of Technology |
Arnd Scheel | School of Mathematics | University of Minnesota, Twin Cities |
Mark Schubel | Department of Physics | University of Illinois at Urbana-Champaign |
Primoz Skraba | Artificial Intelligence Laboratory | Jozef Stefan Institute |
Kelly Spendlove | Department of Mathematics | Rutgers, The State University Of New Jersey |
Gard Spreemann | Department of Mathematical Sciences | Norwegian University of Science and Technology (NTNU) |
Thomas Stephens | Department of Mathematical Sciences | George Mason University |
Andrzej Szymczak | Department of Electrical Engineering & Computer Science | Colorado School of Mines |
Krystal Taylor | Institute for Mathematics and its Applications | University of Minnesota Twin Cities |
Matthew Thibault | Department of Mathematics | Rutgers, The State University of New Jersey |
Jean-Luc Thiffeault | Department of Mathematics | University of Wisconsin, Madison |
Rodrigo Trevino | Tel Aviv University | |
Jan Bouwe Van den Berg | Department of Mathematics | Vrije Universiteit |
Robertus C. A. M. Vandervorst | Department of Mathematics | Vrije Universiteit |
Mariel Vazquez | Department of Mathematics | San Francisco State University |
Mikael Vejdemo-Johansson | Computer Vision and Active Perception Lab | Royal Institute of Technology (KTH) |
Alexander A. (Sasha) Voronov | School of Mathematics | University of Minnesota, Twin Cities |
Han Wang | Department of Mathematics | University of Illinois at Urbana-Champaign |
Ke Wang | Institute for Mathematics and its Applications | University of Minnesota Twin Cities |
Zhu Wang | Institute for Mathematics and its Applications | University of Minnesota, Twin Cities |
Thomas Wanner | Department of Mathematical Sciences | George Mason University |
Frank Weilandt | Department of Mathematics and Computer Science | Jagiellonian University |
Matthew Wright | Institute for Mathematics and its Applications | University of Minnesota, Twin Cities |
Melissa Yeung | Department of Mathematics | California Institute of Technology |
Eugene Zhang | School of Electrical Engineering and Computer Science | Oregon State University |
Sishen Zhou | Department of Mathematics | University of Illinois at Urbana-Champaign |
Lori Ziegelmeier | Department of Mathematics | Macalester College |
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