Senior Thesis Titles and Advisors 2010

Supervised by faculty in the Department of Mathematics

• Determination of the Topological Indices of Surfaces in the 3-sphere, supervised by David Gabai, Professor
• Exotic Smooth Structures on the 4-Sphere, supervised by Zoltán Szabó, Professor
• Cohomology of Groups and Finite Group Actions on Products of Spheres, supervised by William Browder, Professor
• Small Scale Distribution of Heegner Points, supervised by Peter Sarnak, Professor
• Aubry-Mather Theory, supervised by John Mather, Professor
• Pluricanonical Maps for Pairs of Log General Type, supervised by Gueorgui Todorov, Instructor
• The Einstein Equations under a Massless Scalar Field, supervised by Sergiu Kleinerman, Professor
• Local Existence of the Einstein Equations, supervised by Sergiu Kleinerman, Professor
• Euclidean Ideal Classes, supervised by Christopher Skinner, Professor
• Bifurcation in the Heat Equation, supervised by Yakov Sinai, Professor
• Statistics for the Distribution of Lattice Points on Spheres, supervised by Peter Sarnak, Professor
• Concerning the Solution to the Navier-Stokes Equations on the Unit Square with Non Slip Boundary Condition, supervised by Yakov Sinai, Professor
• Wavelet Analysis of Paintings by Goswin van der Weyden and Paul Gauguin, supervised by Robert Calderbank, Professor
• Class Averaging for Cryo-Electron Microscopy using Eigenvectors of Sparse Matrices, supervised by Amit Singer, Associate Professor
• Bilinear Estimates for the Wave Equation and Applications, supervised by Sergiu Kleinerman, Professor
• Hyperbolic Tube Shadows, supervised by David Gabai, Professor
• Algorithmic Aspects of Chain Staple Networks, supervised by Sergei Norin, Assistant Professor
• Entropy and the Squarefree Flow, supervised by Peter Sarnak, Professor
• Mathematical Modeling of Limits on Replication of Pseudorabies Virus Genomes by Infected Cells, supervised by Ingrid Daubechies, Professor 
• The Batch Knowledge Gradient Policy for Simultaneous Information Collection, supervised by Robert Calderbank, Professor
• Sparse Reconstruction with Delsarte-Goethals Frames and Sieves, supervised by Robert Calderbank, Professor

Supervised by faculty in PACM (Applied Mathematics)

• Probabilistic models for spike trains of single neurons, supervised by Philip Holmes, Professor (MAE, PACM)

Supervised by faculty in the School of Engineering

• Maximizing Expected Logarithmic Utility in a Regime-Switching Model with Inside Information, supervised by Ramon van Handel, Assistant Professor, ORFE
• Price Optimization Through Winning Characteristics, supervised by Jianqing Fan, Professor, ORFE
• Compressive Sensing in Magnetic Resonance Imaging via Constrained Random Walks in k-space, supervised by Peter Ramadge, Professor, Electrical Engineering
• Optimality in Multi-armed Bandit Problems under Regret and PAC Models, supervised by Philippe Rigollet, Assistant Professor, ORFE

Supervised by faculty in the Department of Physics

• Topological Insulators, supervised by Zahid Hasan, Professor
• Information, Evolution and Incomputability, supervised by William Bialek, Professor, member of the Lewis-Sigler Institute for Integrative Genomics

Supervised by faculty in the Department of Computer Science

• Unsupervised Image Segmentation Using Nonparametric Bayesian Models, supervised by David Blei, Associate Professor
• A Computer-Checked Proof to the Two Paths Problem, supervised by Andrew Appel, Professor

Supervised by faculty in the Department of Economics

• Predicting Earnings Forecast Errors, supervised by Harrison Hong, Professor