Clay Mathematics Institute / PROMYS 2007 Research Projects

Mentoring of Research Projects:

The PROMYS/CMI mentors in 2007 were the following research mathematicians: Robert Pollack (Boston University), Ben Brubaker (MIT), Keith Conrad (University of Connecticut), 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 2007 were:

Reflections
Proposed by Robert Pollack BU
Students: Kristen Leach, Sara Silberstein
Counselor: Agnes Beaudry

Combinatorics of Gelfand-Tsetlin Patterns
Proposed by Ben Brubaker
Students: Jason Bland, Erick Knight, Djordjo Milovic, Arthur Wang
Counselor: Li-Mei Lim

Matrices of Consecutive Integers
Proposed by Keith Conrad
Students: Alejandro Carbonara, Watson Ladd
Counselor: Thanos Papaioannou

Minimal Regions of Triangle and Polygon Groups
Proposed by Paul E Gunnells
Students: Hudson Harper, Peter Smillie, Eric Wong
Counselor: Anton Malyshev