Research & Courses

Research

• Gravitational Radiation from Early Universe Black Hole Clusters, work in progress
  • Raj Pabari, Andrew Sullivan, and Roger Blandford
• A Shared-Revenue Bertrand Game, preprint
  • Raj Pabari, Udaya Ghai, Dominique Perrault-Joncas, Kari Torkkola, Orit Ronen, Dhruv Madeka, Aviad Rubinstein, Dean Foster, and Omer Gottesman

Selected Courses

* Graduate courses are indicated with an asterisk. Course numbers refer to those at Stanford.

Physics

• Physics 330*: Quantum Field Theory (Peskin & Schroeder)
• Physics 262*: General Relativity (Thorne & Blandford)
• Physics 230*: Graduate Quantum Mechanics (Sakurai)
• Physics 170/171: Statistical Mechanics (Kivelson, Jiang, & Chang)
• Physics 216*: Back of the Envelope Physics (Madejski)

Computer Science

• CS 231N*: Deep Learning for Computer Vision
  • Final project using statistical mechanics for neural network training dynamics (best paper award)
• CS 259Q*: Quantum Computing
• CS 229M*: Machine Learning Theory
• EE 276*: Information Theory
• CS 263*: Counting and Sampling Theory
  • Final project using Picard iteration for efficient parallel discrete sampling
• CS 224R*: Deep Reinforcement Learning
  • Final project using GFlowNets as an alternative to PPO for RLHF
• CS 140E: Embedded Operating Systems

Math

• Math 236*: Stochastic Differential Equations
• Math 144: Topology and Differential Geometry
• Math 173: Partial Differential Equations (Vasy)
• Math 171: Mathematical Analysis (Johnsonbaugh & Pfaffenberger)
  • Final paper proving the Arzela-Ascoli theorem
• Math 120: Abstract Algebra (Dummit & Foote)
  • Final paper proving the impossibility of doubling the cube
• Math 158: Stochastic Processes for Applications