Senior Thesis Titles and Advisors 2011

Supervised by faculty in the Department of Mathematics

• The Cauchy Problem for the Nonlinear Schrödinger Equation in H1(R3), supervised by Alexandru Ionescu, Professor
• Cyclic Graph Jacobians, supervised by Sergey Norin, Assistant Professor
• Invariant Generators of the Symmetry Groups of Regular n-gons and Platonic Solids, supervised by János Kollár, Professor
• Étale Cohomology, supervised by János Kollár, Professor
• Cohen-Lenstra Heuristics and the Negative Pell Equation, supervised by Nicolas Templier, Assistant Professor
• On the Equivalence between Zero Point and Source Theoretic Accounts of Long-Range Casimir Interactions, supervised by Elliot Lieb, Professor
• On Odd Khovanov Homology and its Mutation Invariance, supervised by Zoltán Szabó, Professor
• Zero Sets of Random Polynomials, supervised by Peter Sarnak, Professor
• The Number of Ovals of a Random Real Plane Curve, supervised by Peter Sarnak, Professor
• The Link Concordance Invariant from Lee Homology, supervised by Zoltán Szabó, Professor
• Waring's Problem and the Hardy-Littlewood Asymptotic Formula, supervised by Alexandru Ionescu, Professor
• Encounters with Symplectic Geometry, supervised by Gang Tian
• Power in Networks Via a Trading Game, supervised by Weinan E, Professor
• Global Alignment of Multiple 3-D Scans Using Eigenvector Synchronization, supervised by Amit Singer, Associate Professor
• An Elementary Journey into the Rich Topic of Lattices, supervised by Nicolas Templier, Assistant Professor
• Tate Cohomology in the Stable Category, supervised by William Browder and Zoltán Szabó, Professors
• A Geometric Method for Constructing a Priori Estimates for Regularly Hyperbolic PDE's, supervised by Gustav Holzegel
• Using Selmer Groups to compute the Mordell-Weil Group of an Elliptic Curve, supervised by Manjul Bhargava and Christopher Skinner
• Theory and Applications of Diffusion Maps, supervised by Amit Singer, Associate Professor
• Minor-Closed Graph Classes with Small Edge Density Bounds, supervised by Paul Seymour, Professor
• A Problem About Seifert C*-Bundles over Algebraic Surfaces, supervised by János Kollár, Professor 

Supervised by faculty at the Institute for Advanced Study

• Vector Bundles and Modular Forms, supervised by Mark Goresky

Supervised by faculty in the School of Engineering

• Bounds and Algorithms for Sparse Covariance Matrix Estimation, supervised by Philippe Rigollett, Assistant Professor, ORFE
• Bifurcations and the Two-Dimensional Navier-Stokes System, supervised by Ramon van Handel, Assistant Professor, ORFE
• Investigation in Online Reputation Systems, supervised by Mung Chiang, Professor, EE
• The Utility Maximization Problem in Markets with Transaction Costs: A Set-Valued Approach, supervised by Birgit Rudloff, Assistant Professor, ORFE
• Markov Switching Regimes:  A Computer Vision Approach, supervised by John Mulvey, Professor, ORFE

Supervised by faculty in the Department of Chemistry

• Topology of Optimal Control Landscapes for Molecular Systems Modeled with Classical Dynamics, supervised by Herschel Rabitz, Professor

Supervised by faculty in the Department of Computer Science

• Lower Bounds and Frameworks in Dynamic Optimality, supervised by Robert Tarjan, Professor

Supervised by faculty in the Department of Philosophy

• From Galois to Grothendieck:  Generalizations of a Fundamental Theorem, supervised by Hans Halvorson, Professor
• Adjoint Functors in Automata Theory, supervised by Hans Halvorson, Professor

Supervised by faculty in the Department of Politics

• Strategic Candidacy in Copeland Tournaments, supervised by Matias Iaryczower, Assistant Professor

Supervised by faculty in the Department of Economics

• Lottery Tanking and How to Stop It: A Study of Incentives in the NBA Draft, supervised by Sylvain Chassang, Assistant Professor
• Model Building, supervised by Faruk Gul, Professor
• Bidding Strategies in Sequential Auctions Using the eBay Auction Mechanism, supervised by Satoru Takahashi, Assistant Professor