DIMACS Center, Rutgers University, Piscataway, NJ

**Organizing Committee:****Melvyn B. Nathanson**, chair, Lehman College (CUNY) and IAS, nathansn@ias.edu**George Andrews**, Pennsylvania State University, andrews@math.psu.edu,**David Chudnovsky**, Polytechnic University of New York, david@gateway.imas.poly.edu**Ronald L. Graham**, AT&T Labs and University of California at San Diego, rgraham@cs.ucsd.edu**Jeffrey C. Lagarias**, AT&T Labs, jcl@research.att.com**Victor S. Miller**, Institute for Defense Analyses, victor@idaccr.org**Andrew M. Odlyzko**, AT&T Labs, amo@research.att.com**Carl Pomerance**, Bell Labs, carlp@research.bell-labs.com

8:30 - 8:50 Breakfast Registration 8:50 - 9:00 Welcome and greeting Fred S. Roberts, Director of DIMACS 9:00 - 9:30 Bahman Kalantari New Formulas for Approximation of PI and Other Transcendental Numbers 9:40 - 10:30 Bruce Fleischer, IBM Hardware Mathematical Facilities of IBM Mainframe Computers 10:30 - 11:00 Coffee 11:00 - 11:50 David and Gregory Chudnovsky, Polytechnic University One Bit World 12:00 - 12:30 Sinan Gunturk, Princeton University Number Theoretical Error Estimates in a Quantization Scheme for Bandlimited Signals 12:30 - 2:00 Lunch 2:00 - 2:50 John Milnor, State University of New York - Stony Brook From Manifolds to Number Theory 3:00 - 3:30 Eric Bach, University of Wisconsin P-Adic Secant Algorithms 3:30 - 4:00 Coffee 4:00 - 4:30 Gretchen Ostheimer, Hofstra University Practical Algorithms for Infinite Matrix Groups 4:40 - 5:30 David Ingerman, The Institute for Advance Study Fermat primes and symmetries of the void

8:30 - 9:00 Breakfast and Registration 9:00 - 9:40 Audrey Terras, University of California - San Diego Finite Quantum Chaos 9:50 - 10:30 Harold Stark, Institute for Advanced Study Zeta Functions of Graphs and Coverings 10:30 - 11:00 Coffee 11:00 - 11:30 Siddhartha Sahi, Rutgers University Some properties of Askey-Wilson polynomials 11:40 - 12:30 Barry McCoy, SUNY - Stony Brook Roger--Ramanujan identities in physics 12:30 - 2:00 Lunch 2:00 - 2:50 George E. Andrews, Pennsylvania State University Positivity questions in partitions and the Friedman-Joichi-Stanton conjecture 3:00 - 3:30 Jeffrey C. Lagarias, AT&T Labs-Research Spectral sets, tilings and exponential polynomials 3:30 - 4:00 Coffee 4:00 - 4:30 Charles Radin, University of Texas Relations in SO(3) supported by geodetic angles 4:40 - 5:30 Paula Cohen, CNRS France/IAS Non-commutative number theory 6:30 - 8:30 Workshop Banquet at the Holiday Inn in South Plainfield

8:30 - 9:00 Breakfast and Registration 9:00 - 9:40 Krishnaswami Alladi Gollnitz's (Big) theorem, reformulations, applications, and extensions 9:50 - 10:30 Alexander Berkovich Variations on the Borwein Conjecture 10:30 - 11:00 Coffee 11:00 - 11:30 Carlos Julio Moreno, City University of New York The Value of the Gauss Sum 11:40 - 12:30 Jose A. Dias da Silva, University of Lisbon Linear Algebra and Additive Theory 12:30 - 2:00 Lunch 2:00 - 2:50 James Lepowsky, Rutgers University Vertex operator algebras and the zeta function 3:00 - 3:30 Francis Edward Su, Harvey Mudd College and Cornell University Random Walks with Badly Approximable Numbers 3:30 - 4:00 Coffee 4:00 - 4:50 John Friedlander, University of Toronto Exponential sums and cryptography 5:00 - 5:30 Sinai Robins, Temple University The Linear diophantine problem of Frobenius

8:30 - 9:00 Breakfast and Registration 9:00 - 9:40 Renling Jin, The College of Charleston The use of infinite large integers in the study of finite integers - The applications of nonstandard analysis to upper Banach density problems 9:50 - 10:30 Neil Hindman, Howard University Some (usually easy) algebraic proofs of (usually hard) results in Ramsey Theory 10:30 - 11:00 Coffee 11:00 - 11:30 Janos Pach, NYU The discrete moment curve 11:40 - 12:30 Vitaly Bergelson, Ohio State University Polynomial ergodic theorems, Ramsey theory and IP-sets 12:30 - 2:00 Lunch 2:00 - 2:50 Alexander Leibman, Ohio State University Ergodic Ramsey Theory and nilpotent groups 3:00 - 3:30 Per Enflo, Kent State University On the dynamics of homeomorphisms of n-dimensional manifolds - how well can the future be predicted? 3:30 - 4:00 Coffee 4:00 - 4:30 Shuhong Gao, Clemson University Decomposition of polytopes and polynomials 4:35 - 5:25 Elon Lindenstrauss, The Institute for Advanced Study Some relations between theorems of Freiman and Rusza in additive number theory and ergodic theory 5:30 - 6:00 Gregory Frieman, Tel Aviv University Applications of the Structure Theory of Set Addition

8:30 - 9:00 Breakfast and Registration 9:00 - 9:50 Malcolm Williamson, Center for Communications Research Public Key Cryptography: History and Open Questions 10:00 - 10:30 Victor S. Miller, Center for Communications Research Elliptic Curves and their use in Cryptography 10:30 - 11:00 Coffee 11:00 - 11:30 Kristin Lauter, Microsoft The number of rational points on genus 3 curves over finite fields 11:40 - 12:30 Joseph Silverman, NTRU Cryptosystems, Inc. Lattices, Cryptography, and the NTRU Public Key Cryptosystem 12:30 - 2:00 Lunch 2:00 - 2:50 Dorian Goldfeld, Columbia University Zeta Functions as One-Way Functions with Applications to Cryptography 3:00 - 3:30 Michael Anshel, CCNY-CUNY Constructing Public Key Cryptosystems Via Combinatorial Group Theory 3:30 - 4:00 Coffee 4:00 - 4:30 Joshua Brandon Holden, Duke University Online Analysis of Algorithms for Computing Quadratic Irregularity 4:40 - 5:30 Jeffrey Shallit, University of Waterloo, Canada Formal Languages and Number Theory

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Document last modified on January 10, 2000.