University of California, Los Angeles
PhD Candidate, Pure Mathematics
Ergodic Theory of Group Actions
SLn (Shalom), Polish Group Actions (Hjorth), Gromov's Theorem and Harmonic Functions (Shalom), Ergodic Theory (Tao), Property T (Shalom), Expander Graphs (Shalom)
Functional Analysis
Von Neumann Algebras (Popa), Operator Algebras (Popa), K Theory (Effros), Functional Analysis (Effros)
Logic
Descriptive Set Theory (Neeman), Large Cardinals and Determinacy (Neeman), Continuum Hypothesis (Neeman), Measurable Cardinals and Zero Sharp (Hjorth), Set Theory (Neeman), Mathematical Logic (Moschovakis)
Physics
Quantum Information Theory (Effros), Quantum Theory (D‘Hoker)
Analysis
Fourier Analysis (Tao), Complex Dynamical Systems (Gamelin), Distribution Theory (Hitrik), Probability Theory (Biskup), Stochastic Processes (Liggett), Stochastic Calculus (Schonmann), Complex Analysis (Gamelin), Measure Theory (Hitrik)
Other Areas
Geometric Control Theory (Tabuada), Differentiable Manifolds (Edwards), Algebraic Geometry (Merkurjev), Algebra (Elman), Number Theory (Blasius)
Williams College
Bachelor of Arts in Mathematics with Honors and Computer Science
Mathematics Courses
Independent Studies in Functional Analysis and Ergodic Theory culminating in Honors Thesis
Seminars in Ergodic Theory, Measure Theory, Algebraic Geometry, Algebraic Topology, Dynamic Mathematical Modeling
Advanced courses in Real Analysis, Abstract Algebra, Complex Analysis, Groups and Characters, Applied Real Analysis, Game Theory
Computer Science Courses
Seminars in Type Theory, Operating System Design, Theory of Computation, Principles of Programming Languages
Advanced courses in Artificial Intelligence, Algorithm Design and Analysis, Computer Organization and Microcode, Computer Graphics
Non-Major Courses
Physics courses: Quantum Mechanics, Quantum Information Theory and Code Breaking
Philosophy courses: Metaphysics and Epistemology, Greek Philosophy, Modern Philosophy, Greek Tragedy and Philosophy, Language in Society, Linguistics