I study physics at the University of Illinois, Urbana-Champaign. My research and reading interests are tensor networks and language model interpretability. Broadly, I work on theory and algorithms for machine learning inspired by physics.

I also maintain a blog with longer thoughts.

teaching

writing

• Towards a Non-Stationary Dynamic Mean Field Theory for Low-Rank RNNs
  testing if a low-rank Jacobian outlier proxy predicts stability in driven networks

lecture notes

• Information Geometry For Neuroscience
  fischer information, statistical manifolds, neural coding, gradient learning, feature learning, neural population models
• ECE 598IS: High-Dimensional Statistics [wip]
  decision theory, information inequalities, le cam's and fano's methods, random matrix theory, spectral estimators, stochastic block models, graph embeddings, laplacian eigenmaps, johnson-lindenstrauss, pca
• CS 540: Deep Learning Theory [wip]
  approximations, optimizations, ntk regime, rademacher complexity, clarke differentials, gradient flows, margins, generalization
• MATH 595: Representation Theory & Quantum Information
  schur-weyl duality, werner states, covariant channels, de finetti theorems, quantum types, spectrum estimation, cloning, source compression
• MATH 466: Applied Random Processes
  discrete/continuous-time markov chains, recurrence, invariant distributions, kolmogorov equations, martingales, brownian motion, queueing, mcmc, population models
• MATH 447: Real Variables
  metric spaces, compactness, connectedness, uniform continuity, \(C(K)\) completeness, dini's theorem, differentiation, integration, fundamental theorem, power series