Clay Mathematics Institute / PROMYS
2002 Research Projects

A Counting Problem in F_p[x]
Proposed by Keith Conrad and Jonathan Lubin
Returning students: Jon Chu, Lewis Hahn, Benjamin Harris, Demeter Kiss, Elizabeth Marcil
Returning teachers in PFT program: Michelle Manes, June Patton
Counselors: Bryden Cais, Genya Zaytman

Modular Graphs I
Proposed by Avner Ash and Paul E. Gunnells
Returning students: Connie Chao, Maksym Kovalchuk, Etienne Vouga
Counselors: Hester Graves, Vincent Pasol

Modular Graphs II
Proposed by Avner Ash and Paul E. Gunnells
Returning students: Pez Mangual, Sherry Wu, Jeffrey Zhang
Counselor: David Speyer

The Artin-Hasse Exponential Series
Proposed by Keith Conrad and Jonathan Lubin
First-year student: Dustin Clausen
Counselor: Alvaro Lozano-Robledo

Fibonacci Numbers and Zeckendorf Representations
Proposed by Ira Gessel
Returning students: Jason Brown, Li-Mei Lim, Peter Speh
Counselor: Celia Busuioc

The Delta Sequence
Proposed by Avner Ash and Paul E. Gunnells
Returning students: Stephanie Brockman, Dina Shapiro, Paul Stansifer
Counselor: Andy Itsara

Peg Jumping
Proposed by Ira Gessel
Returning students: Sarah Eggleston, Yuen-Joyce Liu, Alice Swanson
Counselor: Evan Bullock

The Greedy Algorithm
Proposed by Ira Gessel
Returning students: Emily Barrett, Peng Sun
Returning teacher in PFT program: Rani Fischer
Counselor: Cameron Freer