Clay Mathematics Institute / PROMYS 2010 Research Projects

Mentoring of Research Projects:

The PROMYS/CMI mentors in 2010 were the following research mathematicians: Keith Conrad (University of Connecticut), Paul Gunnells (UMass Amherst), Kirsten Wickelgren (Harvard), Steven Miller (Williams), and Henry Cohn (Microsoft Research). 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 2010 were:

Johnson Graphs
Proposed by Paul Gunnells
Students: Matt Tanzer, Michael Greenberg, Irving Dai, Noah Schoem
Counselor: Nakul Dawra

Z and Z[i]
Proposed by Keith Conrad
Students: Heidi Soderstrom, Robert Grosse
Counselor: Jeremy Booher

Algebraic Curves over R
Proposed by Kirsten Wickelgren
Students: Andrew Ardito, Yoana Gyurova, Ian Osborn
Counselor: Daniel Le

More Sums Than Differences
Proposed by Steven Miller
Students: Yehna Chang, Kit Haines, Byoung Tae Bae
Counselor: Dave Hansen

Differentiating Identities
Proposed by Steven Miller
Students: Andrew Ding, Gavi Adler, Hweedo Chang
Counselor: Erick Knight

Tetrahedron Packing
Proposed by Henry Cohn
Students: Kevin Guo, Kevin Wen, Tomer Reiter, Albert Chu
Counselor: Yiwei She

Independent Project
Students: Josh Biderman
Counselor: Djordjo Milovic