- Spectral gap for nonreversible Markov chains.
- Mass generation by the Higgs mechanism.
- Spin glass phase at zero temperature in the Edwards-Anderson model.
- An invariance principle for 1D KPZ.
- A new coefficient of correlation.
- Some progress on 3D Yang-Mills.
- Local KPZ behavior under arbitrary scaling limits.
- New results for surface growth.
- Yang-Mills on the lattice: New results and open problems.
- A probabilistic mechanism for quark confinement.
- Feature Ordering by Conditional Independence.
- Average Gromov hyperbolicity and the Parisi ansatz.
- Yang-Mills for mathematicians.
- Wilson loops in Ising lattice gauge theory.
- Infosys-ICTS Ramanujan Lectures (2019), Lecture 1.
- Infosys-ICTS Ramanujan Lectures (2019), Lecture 2.
- Infosys-ICTS Ramanujan Lectures (2019), Lecture 3.
- Some progress on 2D KPZ.
- 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.
- Superconcentration.
- 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.