Clay Mathematics Institute / PROMYS 2004 Research Projects

Mentoring of Research Projects:

The PROMYS/CMI mentors in 2004 were the following research mathematicians: Ira Gessel (Brandeis University), Keith Conrad (University of Connecticut), Henry Cohn (Microsoft Research), and Paul Gunnells (UMass Amherst). Mentors submitted research problems and worked with the advanced students. The materials presented by the mentors included problem statements, hints for getting started and references to the pertinent literature. 

Topics for Research Projects in the summer of 2004 were:

Polyominoes
Proposed by Ira Gessel
Students: Thomas Belulovich, Eric Frackleton, Travis Mandel
Counselor: Amanda Beeson

Continued Fractions
Proposed by Henry Cohn
Students: Michael Bilow, David Coley
Counselor: Evan Bullock

Ramanujan Graphs
Proposed by Paul Gunnells
Students: Xiao Fan, Jason Ferguson, Ian Kennard
Counselor: Demeter Kiss

Theta Sequences
Proposed by Paul Gunnells
Students: Rebecca Bellovin, Christopher Kennedy, Eric Stansifer, Mung Wong
Counselor: Aaron Silberstein

Dragon Sequences
Proposed by Paul Gunnells
Students: Lucas Culler, Anton Malyshev
Counselor: Dustin Clausen

Arithmetree
Proposed by Paul Gunnells
Students: Malcolm Campbell, William Chen, Steven Ehrlich, Daniel Rubin, Harry Altman, Dan Le, Sunok Suh
Counselor: Sherry Wu

Non-commutative Units
Proposed by Keith Conrad
Students: William Shore, Matthew Tai
Counselor: Lorelei Larking