Clay Mathematics Institute / PROMYS 2011 Research Projects

Mentoring of Research Projects

The PROMYS/CMI mentors in 2011 were the following research mathematicians: Amanda Beeson (University of Rochester), Jonathan Hanke (University of Georgia), Henry Cohn (Microsoft Research), Ira Gessel (Brandeis), Bryden Cais (University of Arizona), Jared Weinstein (IAS, Princeton), and Cameron Freer (MIT). Each submitted research problems for advanced students to work on. 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 2011 were:

Circular Units
Proposed by Amanda Beeson
Students: Robin Zhang, Kevin Wen, Michael Dunn-Goekjian
Counselor: Zev Chonoles

Binary Quadratic Forms (Voronoi Domains)
Proposed by Jonathan Hanke
Students: David Liu, Tomer Reiter, Michael Greenberg
Counselor: Jason Bland

Fibonacci Sequences modulo n
Proposed by Henry Cohn
Students: Nick Johnson, Emily Wang, Sun Mi Lee, Kit Haines
Counselor: Richard Zhang

Fibonacci Numbers
Proposed by Ira Gessel
Students: Minsuk Kim, Lucy Gao, Robert Huben, Alison Stein
Counselor: Robyn Fielder

Semilinear Endomorphisms over Fq
Proposed by Bryden Cais
Student: Tim Holland
Counselor: Jeremy Booher

Binary Quadratic Forms
Proposed by Jonathan Hanke
Students: Liting Chiang, Wesley Yu, Brian Ferguson
Counselor: Corina Panda

Automatic Sequences
Proposed by Jared Weinstein
Students: Leo Tinone, Scott Shi, Sims Gautam, Hweedo Chang
Counselor: Ian Frankel

Rado Graphs
Proposed by Cameron Freer
Students: Hirsh Jain, Raj Raina, Clayton McDonald
Counselor: Elaine Liew