On Thursday, November 16, 2017 the Department of Mathematics will welcome Dr. Jill Pipher, the Elisha Andrews Professor of Mathematics from Brown University, as our 2017-18 Clanton Visiting Mathematician.
On that day there will be a reception at 3:00 p.m. followed by afternoon colloquium talk at 4:00 and an evening presentation at 7:30 p.m. designed for a more general audience.
Drop-in to enjoy some refreshments and have an opportunity to meet and talk witih Professsor Pipher at 3:00 p.m. in the Mathematics Department office suite, Riley Hall 205.
Afternoon Colloquium Talk
Geometric Discrepancy Theory
Discrepancy theory originated with some apparently simple questions about sequences of numbers. The discrepancy of an infinite sequence in an interval is a quantitative measure of how uniformly it is distributed. In the 1950's, Roth showed that the discrepancy problem for infinite sequences in [0,1] had an equivalent geometric formulation in terms of the discrepancy of collections of points in two dimensions. This reformulation permitted approaches to the one and higher dimensional problems by geometric-analytic methods. The subject of geometric discrepancy theory embraces tools and ideas from number theory, lattice theory, ergodic theory and harmonic analysis. In this talk, we will give a survey of the subject of the subject and discuss some joint work (with D. Bilyk, C. Spencer, X. Ma) in two-dimensional "directional" discrepancy.
4:00 p.m. in McEachern Lecture Hall, Furman Hall 214
Cryptography: From Antiquity to a Post-quantum Age
How is it possible to send encrypted information across an insecure channel (like the internet) so that only the intended recipient can decode it, without sharing the secret key in advance? In 1976, well before this question arose, a new mathematical theory of encryption (public-key cryptography) was invented by Diffie and Hellman, which made digital commerce and finance possible. The technology advances of the last twenty years bring new and urgent problems, including the need to compute on encrypted data in the cloud and to have cryptography that can withstand the speed-ups of quantum computers. In this lecture, we will discuss some of the history of cryptography, as well as some of the latest ideas in "lattice" cryptography which appear to be quantum resistant and efficient.
7:30 p.m. in Shaw Hall of the Younts Conference Center
Previous CLANTON Speakers
2016-2017: William Trotter, Georgia Institute of Technology
2015-2016: Richarad Karp, University of California, Berkeley
2014-2015: Bryna Kra, Northwestern University
2013-2014: Avi Wigderson, Institute of Advanced Study, Princeton, NJ
2012-2013: Ken Ono, Emory University
2011-2012: William J. Cook, Georgia Institute of Technology
2010-2011: J. Michael Steele, University of Pennsylvania
2009-2010: Donald Saari, University of California, Irvine
2008-2009: Stephen Stigler, University of Chicago
2007-2008: Colin Clark, University of British Columbia
2006-2007: Barry Mazur, Harvard University
2005-2006: Peter Winkler, Dartmouth College
2003-2004: Jeffrey Weeks, Mathematician and author of The Shape of Space
2002-2003: Frank Morgan, Williams College
2001-2002: George Andrews, Pennsylvania State University
2000-2001: Kenneth Ribet, University of California, Berkeley
1999-2000: Jonathan Borwein, Simon Fraser University
1998-1999: Carolyn Gordon, Dartmouth College
1997-1998: Mary Ellen Rudin, University of Wisconsin
1996-1997: László Lovász, Yale University
1995-1996: Frederick Mosteller, Harvard University
1994-1995: Saunders MacLane, University of Chicago
1993-1994: Persi Diaconis, Harvard University
1992-1993: John H. Conway, Princeton University
1991-1992: Paul Halmos, Santa Clara University
1990-1991: Bradley Efron, Stanford University
1989-1990: Carl Pomerance, University of Georgia
1988-1999: Heinz-Otto Peitgen, University of Bremen
1987-1988: Ronald Graham, AT&T Bell Laboratories