Senior Thesis Titles and Advisors 2012

Supervised by faculty in the Department of Mathematics

An Investigation into Cyclotomic Integers, supervised by Robert Gunning, Professor
An Explanation of Morse Theory, supervised by Gang Tian, Professor
Automorphic Forms and Galois Representations, supervised by Christopher Skinner, Professor
Fragility in Matroids, supervised by Stefan van Zwam, Assistant Professor
On the Connected Components of Random Real Plane Curves, supervised by Peter Sarnak, Professor
(In)completeness Theorems in Riemannian and Lorentzian Geometry, supervised by Gustav Holzegel, Assistant Professor
The Birch-Swinnerton-Dyer Conjecture, supervised by David Geraghty, Veblen Research Instructor
Characterizing the "Width" of Series-Parallel Graphs whose Minor Obstruction Set is the Binary Tree Join an External Vertex, supervised by Paul Seymour, Professor
On the Cost of Ignorance in Network Cost-sharing Games, supervised by Stefan van Zwam, Assistant Professor
A Complex Variable Extension of the Hobby-Rice Theorem, supervised by Elliot Lieb, Professor
Structural Properties of Tournaments, supervised by Paul Seymour, Professor
Riemann Surfaces of Large Systole and Graphs of Large Girth, supervised by Peter Sarnak, Professor
Investigations into Two Classical Theorems of Number Theory, supervised by Yakov Sinai
Khovanov Homology and the Jones Polynomial, supervised by Zoltán Szabó, Professor
Selmer Groups and Quadratic Twists 4 Elliptic Curves, supervised by Christopher Skinner
On Treewidth and Grid Minors in Graphs and Digraphs, supervised by Paul Seymour, Professor
Grid Diagrams and Manolescu's Unoriented Skein Exact Triangle, supervised by Péter Ozsváth, Professor
Clifford Algebras and Related Topics, supervised by Gang Tian, Professor
New Coherent States and the Eigenvalues of the Relativistic Shrodinger Operator, supervised by Rupert Frank, Assistant Professor
Topological Invariance in Knot Floer Homology, supervised by Zoltán Szabó, Professor
Higher-order Fourier Analysis and Gowers Norms, supervised by Nicolas Templier, Assistant Professor

Supervised by faculty in PACM (Applied Mathematics)

A Survey of Two Methodologies in the Calculation of the Eigenvalue Distribution of Large Random Matrices, supervised by Sergio Verdú, Professor
Real Analysis for the Non-Genius, supervised by Philippe Trinh, Postdoctoral Research Associate

Supervised by faculty in the School of Engineering

Regularity Properties of Random Matrices and Applications, supervised by Jianqing Fan, Professor, ORFE
Sensitivity Analysis of a Model of Dorsoventral Patterning in the Drosophila Embryogenesis, supervised by Stanislav Shvartsman, Professor, CBE
Denoising Deterministic Time Services with Noise at Large Support, supervised by Ramon van Handel, Assistant Professor, ORFE
Analytic Approaches to Value-at-Risk, supervised by Patrick Cheridito, Associate Professor, ORFE
Analysis of Influence in the Foreign Exchange Market Using Minimum Spanning Trees, supervised by Mung Chiang, Professor, EE

Supervised by faculty in the Department of Molecular Biology

Mathematical Modeling of Salamander Regina Cells, supervised by Michael Berry, Associate Professor

Supervised by faculty in the Department of Astrophysical Sciences

Gravitational Redshifts & Clusters, supervised by David Spergel, Professor

Supervised by faculty in the Department of Computer Science

On the Uses and Limitations of Distributional Analysis for Written Language Systems, supervised by Christiane Fellbaum, Senior Research Scientist

Supervised by faculty in the Department of Economics

Strategic Communication with Discrete Action Space, supervised by Wolfgang Pesendorfer, Professor
Bargaining While Learning about the Recognition Process, supervised by Faruk Gul, Professor

Supervised by faculty in the Department of Philosophy

Review of Results Following from Axioms Related to the Continuum Problem, supervised by John Burgess, Professor
On the Completeness of the S4 Model System with respect to the Class of Quasi-Ordered Frames, supervised by John Burgess, Professor
Marita Theorems, supervised by Hans Halvorson

Supervised by faculty in the Department of Politics

Testing of Experts in a Changing Environment, supervised by Matias Iaryczower, Assistant Professor