Jill Pipher, Brown University
Monday, April 30, 2012
Abstract: The role of experimentation and computation in mathematics is historical, rich, and growing and changing at a remarkable pace. Computers are more than number crunchers: They check hypotheses, make conjectures, enable discoveries, and assist in proofs. While the computer is the primary tool facilitating experimentation, it is not the only source of experimental information bringing new ideas into mathematics. I illustrate these points by describing a collection of fun examples. In the first part of the talk, I'll explain some aspects of this interaction related to my own research interests in public key cryptography. Then I'll give a quick tour of some fundamental and surprising instances of the interaction of mathematics and the computer.
Biography: Jill Pipher is Professor of Mathematics at Brown University, and Director of the Institute for Computational and Experimental Research in Mathematics (ICERM). She received her Ph.D. from UCLA in 1985, spent five years at the University of Chicago as Dickson Instructor and then Assistant Professor, and came to Brown as an Associate Professor.
Pipher’s research interests include harmonic analysis, partial differential equations, and cryptography. She has published papers in each of these areas of mathematics, co-authored an undergraduate cryptography textbook, and jointly holds four patents for the NTRU encryption and digital signature algorithms. She was a co-founder of NTRU Cryptosystems, Inc, now part of Security Innovation, Inc. Her awards include an NSF Postdoctoral Fellowship, NSF Presidential Young Investigator Award, Mathematical Sciences Research Institute Fellowship, and an Alfred P. Sloan Foundation Fellowship. In February 2011, she became President of the Association for Women in Mathematics.