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