Clay Mathematics Institute / PROMYS
2003 Research Projects

Continued Fractions
Proposed by Henry Cohn
Students: John Chu, Jon Pinyan, Brad Rodgers, Josh Zelinsky
Counselor: Vincent Pasol

Unit Groups
Proposed by Keith Conrad
Students: Daniel Minsky, Pavel Kamyshev, Ander Steele
Counselor: Genya Zaytman

Nice Polynomials
Proposed by Ed Early
Students: Shiyang Cao, Eric Frackleton, Nicole Pranke, Sam Xu
Counselor: Celia Busuioc

Dragon Sequence
Proposed by Avner Ash and Paul E. Gunnells
Students: Robyn Allen, Say Cheong, Anton Malyshev
Counselor: John Gonzalez

Lattice Sets
Proposed by Avner Ash and Paul E. Gunnells
Student: Ed Zhong
Counselor: John Gonzalez

Linear Extensions
Proposed by Ed Early
Students: Joseph Cooper, Bob Cordwell
Counselor: Alvaro Lozano-Robledo

Character Table for S_n
Proposed by Ed Early
Students: Connie Chao, Dustin Clausen, Fedor Labounko, Li-Mei Lim, Etienne Vouga
Counselor: Amanda Beeson