Undergraduate Papers

Here is a list of math papers that I wrote for courses at Harvard. These do not contain original mathematics; they are papers that review some known mathematics.

Classification of complex semisimple Lie algebras. (206, Lie Groups and Lie Algebras, Schmid, Spring 2003)
Vinogradov estimates on Weyl sums. (259, Analytic Number Theory, Elkies, Spring 2003)
Eilenberg-MacLane spaces and group cohomology. (272a, Algebraic Topology, Kronheimer, Fall 2003)
Morse theory and homotopy of algebraic varieties. (99r, Morse Theory, Manolescu, Fall 2003)
K-theory of compact Lie groups. (272b, Algebraic Topology, Kronheimer, Spring 2004)
Kolyvagin's theorem and elliptic curves of rank 1. (99r, Class Field Theory, Grigorov, Spring 2004)
Hodge theory of Kaehler manifolds. (Summer Tutorial, Khosla, Summer 2004)