1. Large Deviations for Random Graphs. (Lecture notes for the 2015 Saint-Flour Summer School.) Springer Lecture Notes in Mathematics. Springer, Berlin-Heidelberg, 2017.
  2. Superconcentration and Related Topics. Springer Monographs in Mathematics. Springer, Berlin-Heidelberg, 2014.

Preprints and submitted papers
  1. Yang-Mills for probabilists.
  2. Central limit theorem for the free energy of the random field Ising model.
  3. Rigidity of the three-dimensional hierarchical Coulomb gas.
  4. A general method for lower bounds on fluctuations of random variables.
  5. The endpoint distribution of directed polymers. (with Erik Bates)
  6. The 1/N expansion for SO(N) lattice gauge theory at strong coupling. (with Jafar Jafarov)
  7. High dimensional regression and matrix estimation without tuning parameters.
  8. Prediction error of cross-validated Lasso. (with Jafar Jafarov)
  9. Localization in random geometric graphs with too many edges. (with Matan Harel)
  10. Stochastic solutions of the wave equation.
  11. Assumptionless consistency of the Lasso.
  12. Disorder chaos and multiple valleys in spin glasses.
  13. Chaos, concentration, and multiple valleys.
  14. The Ghirlanda-Guerra identities without averaging.
  15. A simple invariance theorem.
  16. An error bound in the Sudakov-Fernique inequality.

Published or accepted papers
  1. Rigorous solution of strongly coupled SO(N) lattice gauge theory in the large N limit. To appear in Comm. Math. Phys.
  2. On the decay of correlations in the random field Ising model. To appear in Comm. Math. Phys.
  3. The sample size required in importance sampling. (with Persi Diaconis) To appear in Ann. App. Probab.
  4. Arbitrarily small perturbations of Dirichlet Laplacians are quantum unique ergodic. (with Jeffrey Galkowski) To appear in J. Spectr. Theory.
  5. A central limit theorem for a new statistic on permutations. (with Persi Diaconis) To appear in a special issue of Indian J. Pure App. Math. in honor of Professor B. V. Rao
  6. On level sets of Gaussian fields. (with Amir Dembo and Jian Ding) To appear in Electr. Commun. Probab.
  7. A short survey of Stein's method. To appear in Proceedings of ICM 2014.
  8. Properties of Uniform Doubly Stochastic Matrices (with Persi Diaconis and Allan Sly) To appear in Ann. de l'Inst. Henri Poincaré.
  9. A note about the uniform distribution on the intersection of a simplex and a sphere. J. Topol. Anal., 9 no. 4, 717-738, 2017.
  10. Minimal spanning trees and Stein's method. (with Sanchayan Sen) Ann. App. Probab., 27 no. 3, 1588-1645, 2017.
  11. The leading term of the Yang-Mills free energy. J. Funct. Anal., 271, 2944-3005, 2016.
  12. An introduction to large deviations for random graphs. Bull. Amer. Math. Soc., 53 no. 4, 617-642, 2016.
  13. Nonlinear large deviations. (with Amir Dembo) Adv. Math., 299, 396-450, 2016.
  14. Absence of replica symmetry breaking in the random field Ising model. Comm. Math. Phys., 337 no. 1, 93-102, 2015.
  15. Matrix estimation by Universal Singular Value Thresholding. Ann. Statist., 43 no. 1, 177-214, 2015.
  16. A new perspective on least squares under convex constraint. Ann. Statist., 42 no. 6, 2340-2381, 2014.
  17. Invariant measures and the soliton resolution conjecture. Comm. Pure Appl. Math., 67 no. 11, 1737-1842, 2014.
  18. Fluctuations of the Bose-Einstein condensate. (with Persi Diaconis) J. Phys. A: Math. Theor., 47, 085201 (23pp), 2014.
  19. Estimating and Understanding Exponential Random Graph Models. (with Persi Diaconis) Ann. Statist., 41 no. 5, 2428-2461, 2013.
  20. Central limit theorem for first-passage percolation time across thin cylinders. (with Partha S. Dey) Probab. Theory Related Fields, 156 nos. 3-4, 613--663, 2013.
  21. Random Overlap Structures: Properties and Applications to Spin Glasses. (with Louis-Pierre Arguin) Probab. Theory Related Fields, 156 nos. 1-2, 375-413, 2013.
  22. The universal relation between scaling exponents in first-passage percolation. Ann. Math. (2), 177 no. 2, 663-697, 2013.
  23. The missing log in large deviations for triangle counts. Random Structures and Algorithms, 40 no. 4, 437-451, 2012.
  24. Probabilistic methods for discrete nonlinear Schrödinger equations. (with Kay Kirkpatrick) Comm. Pure Appl. Math., 65 no. 5, 727-757, 2012.
  25. A new approach to strong embeddings. Probab. Theory Related Fields, 152, 231-264, 2012.
  26. Large deviations for random matrices. (with S. R. S. Varadhan) Comm. Stoch. Analysis, 6 no. 1, 1-13, 2012.
  27. Random multiplicative functions in short intervals. (with Kannan Soundararajan) Int. Math. Res. Not., 2012 no. 3, 479-492, 2012.
  28. The large deviation principle for the Erdős-Rényi random graph. (with S. R. S. Varadhan) European J. Comb., (special issue on Homomorphisms and Limits) 32 no. 7, 1000-1017, 2011.
  29. Spectral clustering and the high-dimensional Stochastic Block Model. (with Karl Rohe and Bin Yu) Ann. Statist., 39 no. 4, 1878-1915, 2011.
  30. A combinatorial analysis of interacting diffusions. (with Soumik Pal) J. Theoret. Probab., 24, 939-968, 2011.
  31. Random graphs with a given degree sequence. (with Persi Diaconis and Allan Sly) Ann. App. Probab., 21 no. 4, 1400-1435, 2011.
  32. Exponential Approximation by Exchangeable Pairs and Spectral Graph Theory. (with Jason Fulman and Adrian Roellin) ALEA, 8, 1-27, 2011.
  33. Non-normal approximation by Stein's Method of Exchangeable Pairs with Application to the Curie-Weiss Model. (with Qi-Man Shao) Ann. App. Probab., 21 no. 2, 464-483, 2011.
  34. Phase Transitions in Gravitational Allocation. (with Ron Peled, Dan Romik and Yuval Peres) Geom. Funct. Anal., 20, 870-917, 2010.
  35. Applications of Stein's method for concentration inequalities. (with Partha S. Dey) Ann. Probab., 38 no. 6, 2443-2485, 2010.
  36. Spin glasses and Stein's method. Probab. Theory Related Fields., 148 nos. 3-4, 567-600, 2010.
  37. Gravitational allocation to Poisson points. (with Ron Peled, Yuval Peres and Dan Romik) Ann. Math. (2), 172 no. 1, 617-671, 2010.
  38. A phase transition behavior for Brownian motions interacting through their ranks. (with Soumik Pal) Probab. Theory Related Fields, 147, 123-159, 2010.
  39. Central Limit Theorems for the Energy Density in the Sherrington-Kirkpatrick Model. (with Nicholas Crawford) J. Statist. Phys.,, 137, 639--666, 2009.
  40. An observation about submatrices. (with Michel Ledoux) Elec. Comm. Probab., 14, 495-500, 2009.
  41. Consistent Estimates of Deformed Isotropic Gaussian Random Fields on the Plane. (with Ethan Anderes) Ann. Statist., 37 no. 5A, 2324-2350, 2009.
  42. Fluctuations of eigenvalues and second order Poincaré inequalities. Probab. Theory Related Fields, 143, 1-40, 2009.
  43. Multivariate normal approximation using exchangeable pairs. (with Elizabeth Meckes) ALEA, 4, 257-283, 2008.
  44. A new method of normal approximation. Ann. Probab., 36 no. 4, 1584-1610, 2008.
  45. Estimation in spin glasses: A first step. Ann. Statist., 35 no. 5, 1931-1946, 2007.
  46. Concentration of Haar measures, with an application to random matrices. J. Funct. Anal., 245, 379-389, 2007.
  47. Stein's method for concentration inequalities. Probab. Theory Related Fields, 138, 305-321, 2007.
  48. A generalization of the Lindeberg principle. Ann. Probab., 34 no. 6, 2061-2076, 2006.
  49. Concentration inequalities with exchangeable pairs. Ph.D. thesis, Stanford University, 2005.
  50. Exchangeable pairs and Poisson approximation. (with Persi Diaconis and Elizabeth Meckes) Probab. Surv., 2, 64-106, 2005.
  51. A new method for bounding rates of convergence of empirical spectral distributions. (with Arup Bose) J. Theoret. Probab., 17 no. 4, 1003-1019, 2004.
  52. Limiting spectral distributions of large dimensional random matrices. (with Arup Bose and Sreela Gangyopadhyay) J. Indian Statist. Assoc., 41 no. 2, 221-259, 2003.