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Mentoring of Research Projects:
The PROMYS/CMI mentors in 2006 were the following research
mathematicians: Jonathan Hanke (Duke University), Kiran Kedlaya (MIT), Ira Gessel (Brandeis University), 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.
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Topics for Research Projects in the summer of 2006 were:
Quaternion Algebras
Proposed by Jonathan Hanke
Students: Jason Bland, Dan Echlin, Dan Fudenberg, Ben Wolf
Counselor: Josh Zelinsky
Combinatorics
Proposed by Ira Gessel
Students: Adam Kaye, Irina Kholodenko, Erick Knight, Michael Shu, Nick
Slowey
Counselor: Ben Harris
Quadratic Forms and Quadratic Fields
Proposed by Jonathan Hanke
Students: Philip Engel, Athena Jiang, Chris Kennedy, Seohyung Kim, Sara
Silberstein
Counselor: Thanos Papaioannou
Finiteness Theorems for Quadratic Forms
Proposed by Jonathan Hanke
Students: Hana Cho, Veena Ramakrishnan, Arthur Wang
Counselor: Agnés Beaudry
Purely Periodic Continued Fractions
Proposed by Kiran Kedlaya
Students: Brian Edwards, Ben Huan, Djordjo Milovic, Will Steadman, Norman
Yu
Counselor: Ila Varma
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