The AMS sponsored an exhibit at the 20th annual Coalition for National Science Funding (CNSF) Exhibition & Reception on Capitol Hill featuring Robert Ghrist, the Andrea Mitchell University Professor of Mathematics and Electrical/Systems Engineering at the University of Pennsylvania, presenting work on "Topological Sensor Networks." This event, showcasing research and education projects supported by the National Science Foundation (NSF), was held May 7, 2014 and drew over 280 attendees and eight Members of Congress.
Ghrist and his collaborators have worked for nearly a decade on applications of algebraic topology to problems of data over networks. The problem of detecting global, robust features from networked, local data matches perfectly the mathematical tools of algebraic topology developed over the past century. Ghrist's work, initially funded by the NSF, uses homology, cohomology, and sheaves to address problems in sensor networks ranging from coverage (are there any gaps in the network?) to data aggregation (how to merge redundant data over the network?) and target tracking (how to infer from detections over a nework?).
These novel applications, combined with emerging ideas from computational topology, allow for efficient algorithms with performace guarantees.
CNSF is an alliance of over 130 scientific and professional societies and universities united by a concern for the future vitality of the national science, mathematics and engineering enterprise. CNSF supports the goal of increasing the national investment in the National Science Foundation's research and education programs.
Previous AMS exhibits at CNSF Exhibitions include:
Mathematics and Cardiology: Partners for the Future presented by Suncica Canic, University of Houston
Computational Models for Cardiovascular Disease Assessment and Surgery Design presented by DalinTang, Worcester Polytechnic Institute (WPI)
Disease Prediction and Treatment Design presented by Eva K. Lee, Georgia Institute of Technology
Mathematics for Advanced Composites Technology presented by Robert Lipton, Louisiana State University
Mathematical Modeling of Swimming Organisms presented by Lisa Fauci and Nick Cogan, Tulane University
Mathematics of Sea Ice presented by Kenneth M. Golden, University of Utah
Liquid Films and Image Inpainting presented by Andrea Bertozzi, Duke University
Undergraduate Research Opportunities Made Possible by NSF presented by Dr. John Bush, MIT
Computer Simulation of Blood Flow in the Heart presented by Charles S. Peskin, Courant Institute of Mathematical Sciences, New York University
Mathematical Foundations of Image Analysis and Computational Vision presented by Don McClure, Brown University
Ergodic Theory presented by Doug Lind, University of Washington
The Energy of Knots presented with JPBM by Jonathan K. Simon, University of Iowa and Gregory R. Buck, Saint Anselm College
For information on the annual CNSF Exhibition & Reception, please visit the CNSF website.