Here are the slides for some of my talks, in reverse chronological order.
If you happen to notice any mistakes, omissions, mis-citations or mis-quotations, please let me know!
- An introduction to gauge theories for probabilists.
- Decay of correlations in the random field Ising model.
- Rigidity of the 3D hierarchical Coulomb gas.
- A general method for lower bounds on fluctuations of random variables.
- The endpoint distribution of directed polymers.
- The sample size required in importance sampling.
- The 1/N expansion for lattice gauge theories.
- The Yang-Mills free energy.
- Gauge-string duality in lattice gauge theories.
- A short survey of Stein's method. (ICM lecture)
- Least squares under convex constraint.
- Nonlinear large deviations.
- Matrix estimation by Universal Singular Value Thresholding.
- St. Petersburg School in Probability and Statistical Physics (2012) Lecture 1.
- St. Petersburg School in Probability and Statistical Physics (2012) Lecture 2.
- St. Petersburg School in Probability and Statistical Physics (2012) Lecture 3.
- Invariant measures and the soliton resolution conjecture.
- The universal relation between exponents in first-passage percolation.
- Superconcentration and related phenomena (Luminy lecture notes).
- Applications of dense graph limits in probability and statistics.
- Probabilistic methods for discrete nonlinear Schrödinger equations
- Random graphs with a given degree sequence.
- The large deviation principle for the Erdős-Rényi random graph.
- Random multiplicative functions in short intervals.
- The missing log in large deviations for triangle counts.
- Tutorial lectures given at Stein's method conference in Singapore.
- Chaos, concentration, and multiple valleys.
- A new approach to strong embeddings.
- Spin glasses and Stein's method.
- Fluctuations of eigenvalues and second order Poincaré inequalities.
- Gravitational allocation to Poisson points.
- Convex polytopes, interacting particles, spin glasses, and finance.
A new method of normal approximation.
On the concentration of Haar measures.
A generalization of the Lindeberg principle.
- Concentration inequalities with exchangeable pairs.