Invited Paper Sessions
Convex Algebraic Geometry
Applied and Computational Topology
Discrete Probability on Surfaces
Combinatorics and Matrices
Mathematics and Systems Biology
Walk the Walk, Talk the Talk
- Convex Algebraic Geometry
Thursday afternoon, Ballroom C
Organizer:- Bernd Sturmfels, University of California Berkeley
- Cynthia Vinzant, University of Michigan
- Amir Ali Ahmadi, Massachusetts Institute of Technology
- Greg Blekherman, Georgia Tech
- Jordan Ellenberg, University of Wisconsin
- Jon Hauenstein, North Carolina State University
- Vicki Powers, Emory University
- Bruce Reznick, University of Illinois at Urbana-Champaign
Convex algebraic geometry centers around the interplay between algebraic geometry, classical convexity, and optimization. Algebraic geometry provides necessary tools to analyze and develop solutions to optimization problems, and solvers for convex optimization have led to new fast algorithms in real algebraic geometry.
- Applied and Computational Topology
Saturday afternoon, Ballroom D
Organizer:- Benjamin Mann, Ayasdi, Inc.
- Jack Morava, the Johns Hopkins University
- Henry Adams, Stanford University
- Andrew Blumberg, University of Texas
- Justin Curry, University of Pennsylvania
- Rafal Komendarczyk, Tulane University
- Sanjeevi Krishnan, University of Pennsylvania
- Mark Pearson, Hope College
- Jose Perea, Duke University
- Michael Robinson, University of Pennsylvania
One of the exciting recent developments in applied mathematics has been the explosion of insights, techniques, and tools from algebraic topology that have been used to great advantage in examining computation problems in data analysis, distributed networks, and dynamical systems. This special session will feature eight presentations on various aspects of a subject that encourages collaborations and synergies between mathematicians, statisticians, biologists, chemists, physicists, materials scientists, and computer scientists. In total, the session should provide a broad introduction to the area with a balance between the theory and applications.
- Discrete Probability on Surfaces
Saturday afternoon, Ballroom C
Organizer:- Richard Kenyon, Brown University
- James Propp, University of Massachusetts Lowell
- Timo Seppalainen, University of Wisconsin
- Benedek Valko, University of Wisconsin
Point processes generated by carousels - Henry Cohn, Microsoft
- Russell Lyons, Indiana University
Random Trees and Surfaces - Ivan Corwin, New York University Beyond the Gaussian Universality Class
- Combinatorics and Matrices
Thursday afternoon, Ballroom C
Organizer:- Richard A. Brualdi, University of Wisconsin - Madison
- Adam Berliner, St. Olaf College
- Eric Egge, Carleton College
- Leslie Hogben, Iowa State University
Parameters related to maximum nullity, zero forcing number, and tree-width of a graph - In-Jae Kim, University of Minnesota - Mankato
Application of PageRank centrality to a survey instrument - T.S. Michael, U.S. Naval Academy
- Bridget Tenner, DePaul University
Graphs: providing a link between posets, topology, and enumeration
This session will focus on the substantial interaction between combinatorics, graph theory, and matrix theory.
- Mathematics and Systems Biology
Saturday afternoon, Ballroom B
Organizer:- Timothy Comar, Benedictine University
- Terrell Hodge, Western Michigan University
- Raina Robeva, Sweet Briar College
- Brandilyn Stigler, Southern Methodist University
- Winfried Just, Ohio University
- Timothy Comar, Benedictine University
- BIO SIGMAA
Systems biology is the study of the systems-level understanding and analysis of the biology, behavior and interactions between the biology and behavior at all levels of biological organization from the small scales of molecules and cells up to the large scales of populations and communities. Systems biology is interdisciplinary by nature, and employs significant mathematical and computational techniques to model and analyze complex biological systems. The mathematics involved in modeling complex systems is wide and varied and includes not only differential equations but also Boolean dynamics, contact networks, individual based modeling, and algebraic techniques. Examples of areas of study of gene system analysis and epidemic modeling. This session will focus on the applications of mathematics to research in areas of systems biology.
- Walk the Walk, Talk the Talk
Friday afternoon, Ballroom C
Organizer:- Georgia Benkart, University of Wisconsin-Madison
- Tom Halverson, Macalester College
- Eric Egge, Carleton College
- Susanna Fishel, Arizona State University
- Tom Halverson, Macalester College
- Sam Hsiao, Bard College
- Kendra Killpatrick, Pepperdine University
- Kyle Petersen, DePaul University
- Jim Propp, University of Massachusetts Lowell
This session will feature talks on walks on lattices and graphs and some of their many applications in enumerating tableaux, pattern-avoiding permutations, random walks, Markov chains, and many other constructs.
