640:492-H1 Undergraduate Honors Seminar (Spring, 2004)

Text: Audrey Terras, Fourier Analysis on Finite Groups and Applications
    ISBN 0-521-45718-1, Cambridge University Press

Date Speaker Pages Topics
1/22 Roe Goodman 5-7 Review of fields, vector spaces, linear transformations
1/29 Greg Muller 8-17 Congruences, Chinese remainder theorem
2/05 Minh Tri Vo 30-36 Convolutions and Discrete Fourier Transform (DFT)
2/12 Joseph Walsh 36-43 Properties of DFT; Examples
2/19 Steve Curran 46-60 Cayley graphs; Adjacency matrix
2/26 Greg Lagakos 97-105 Random walks on Cayley graphs
3/04 Atsuko Odoi 109-113 Limits of sums of random variables
3/11 Tom Peters 114-120 Finite heat kernel by DFT
3/25 Yakov Brukhman 121-127 Geometric applications of DFT
4/01 Michael Alfare 128-136 Quadratic reciprocity Law by DFT
4/08 Matthew Kohut 142-147 Evaluation of Gauss sums
4/15 Joseph Walsh 223-236 Uncertainty Principles
4/22 Greg Muller Davenport (Notes) Dirichlet's Theorem (Primes in arithmetic progressions)
4/29 Minh Tri Vo Davenport (Notes) Dirichlet L-functions and Gauss sums

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Roe Goodman / goodman "at" math "dot" rutgers "dot" edu / Revised April 23, 2004