### 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, Professorsupervised by Ingrid Daubechies, Professor*Mathematical Modeling of Limits on Replication of Pseudorabies Virus Genomes by Infected Cells*,*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