Research
Here is a link to my CV. See also Google Scholar.
Tutorial
A Short Tutorial on MeanField Spin Glass Techniques for NonPhysicists. [ArXiv] with Andrea Montanari, 2022.
This tutorial is based on lecture notes written for a class taught in the Statistics Department at Stanford in the Winter Quarter of 2017. The objective was to provide a working knowledge of some of the techniques developed over the last 40 years by theoretical physicists and mathematicians to study mean field spin glasses and their applications to highdimenensional statistics and statistical learning.
Publications and Preprints
Highdimensional and Nonparametric Statistics
Statistical Inference on Networks
Random graphs: typical and atypical properties
Random Combinatorial Optimization, Spin glasses and Universality
Universality of Approximate Message Passing with SemiRandom Matrices. [ArXiv] (with Rishabh Dudeja and Yue M. Lu)– Submitted.
TAP equations for orthogonally invariant spin glasses at high temperature. [ArXiv] (with Zhou Fan and Yufan Li)– Submitted.
The threshold for SDPrefutation of random regular NAE3SAT. [ArXiv](with Yash Deshpande, Andrea Montanari, Ryan O’ Donnell, Tselil Schramm)
Proceedings of the ACMSIAM Symposium on Discrete Algorithms (SODA), 2019.
On the unbalanced cut problem and the generalized SherringtonKirkpatrick model. [ArXiv][Journal](with Aukosh Jagannath)
Ann. Inst. Henri Poincare Comb. Phys. Interact., 8.1(2021):35–88.
A connection between the Max \(\kappa\)cut and the Potts spin glass in the large degree limit.[ArXiv] [Journal] (with Aukosh Jagannath and Justin Ko)
Annals of Applied Probability, 28.3(2018):15361572.
Phase transitions of extremal cuts for the configuration model. [ArXiv] [Journal] (with Souvik Dhara and Debankur Mukherjee)
Electronic Journal of Probability, 22 (2017), 86.
Optimization on Sparse Random Hypergraphs and Spin Glasses. [ArXiv] [Journal]
Random Structures and Algorithms, 53.3 (2018): 504536.
High Temperature Asymptotics of Orthogonal Mean Field Spin glasses. [ArXiv] [Journal] (with Bhaswar Bhattacharya).
Journal of Statistical Physics, 162.1 (2016): 6380.
Extremal Cuts of Sparse Random Graphs.[ArXiv][Journal](with Amir Dembo and Andrea Montanari)
Annals of Probability, 45.2(2017): 11901217.
Miscellaneous
