## Research Interests

First passage percolation, Random Growth Models, Random Networks, Stein’s method, Concentration inequalities, Spin glasses, Random Graphs, Random Matrices, Large deviations, Markov chains.

## Preprints and Published papers

- Curie-Weiss Model under l
^{p}constraint and a Generalized Hubbard-Stratonovich Transform. (with Daesung Kim) - Random optimization problems at fixed temperatures. (with Grigory Terlov)
- Central Limit Theorem for Gram-Schmidt Random Walk Design. (with Sabyasachi Chatterjee and Subhajit Goswami)
- Collaboration of Random Walks on Graphs. (with Daesung Kim and Grigory Terlov)
- Hypergraph counting and Mixed p-spin Glass Models under Replica Symmetry. (with Qiang Wu).
- How to Build a Blockchain: The Asynchronous Composition Model. (with Aditya Gopalan), IEEE Blockchain Technical Briefs, Q3 2022.
- Phase transition for discrete nonlinear Schrődinger equation in three and higher dimensions. (with Kay Kirkpatrick and Kesav Krishnan).
- Berry-Esseen Theorem for Sample Quantiles with Locally Dependent Data. (with Grigory Terlov)
- On an Asymptotic Criterion for Blockchain Design: The Asynchronous Composition Model. (with Aditya Gopalan)
- Disordered Monomer-Dimer model on Cylinder graphs. (with Kesav Krishnan). J Stat Phys 190, 146 (2023).
- Fluctuation results for size of the vacant set for random walks on discrete torus. (with Daesung Kim).
- Mean Field Spin Glass Models under Weak External Field. (with Qiang Wu). Commun. Math. Phys. (2023).
- Stein's method for Conditional Central Limit Theorem. (with Grigory Terlov).
*Ann. Probab.*,**51**, no. 2, pp. 723-773, 2023. - Fluctuation results for Multi-species Sherrington-Kirkpatrick model in the replica symmetric regime. (with Qiang Wu). Journal of Statistical Physics
**185**, no. 3 (2021): 1-40. - A note on Stein equation for weighted sums of independent χ
^{2}distributions. (with Xiaohui Chen). - Longest increasing path within the critical strip. (with Matthew Joseph and Ron Peled).
- Fluctuations of the free energy in the mixed p-spin models with external field. (with Wei-Kuo Chen and Dmitry Panchenko).
*Probab. Theory Related Fields.*,**168**, no. 1-2, pp. 41–53, 2017. - Energy Landscape for large average submatrix detection problems in Gaussian random matrices. (with Shankar Bhamidi and Andrew Nobel).
*Probab. Theory Related Fields.*,**168**, no. 3-4, pp. 919–983, 2017. - High temperature limits for (1+1)-dimensional directed polymer with heavy-tailed disorder. (with Nikos Zygouras).
*Ann. Probab.*,**44 (6)**, pp. 4006–4048, 2016. - On Normalized Multiplicative Cascades under Strong Disorder. (With Ed Waymire). Electron.
*Commun. Probab.*,**20 (32)**, pp. 1–13, 2015. - Multiple phase transitions in long-range first-passge percolation on lattices. (With Shirshendu Chatterjee).
*Comm. Pure Appl. Math.*, DOI:10.1002/cpa.21571, 2015. - Jigsaw percolation: Can a random graph solve a puzzle?. (with Charlie Brummitt, Shirshendu Chatterjee and David Sivakoff).
*Ann. Appl. Probab.*,**25 (4)**, 2013-2038, 2015. - Spectra of random linear combinations of permutation matrices. (with Steven N. Evans).
- Central limit theorem for first-passage percolation time across thin cylinders. (with Sourav Chatterjee),
*Probab. Theory Related Fields*,**156 (3-4)**, 613-663, 2013. - Applications of Stein's method for concentration inequalities. (with Sourav Chatterjee).
*Ann. Probab.*,**38**, 2443-2485, 2010. - Contributions to Stein’s method and some limit theorems in probability, PhD Thesis, UC Berkeley, 2010.
- On the power breakdown of the negative exponential disparity tests. (with Ayan Basu)
*Aust. N. Z. J. Stat.*,**49(4)**, 381--384, 2007. - Adaptive Design for Locating the Maxima of a Regression Function: A Nonparametric Approach, Master's Thesis supervised by Probal Chaudhuri, Indian Statistical Institute, 2006

## Graduate Students

Aditya Gopalan, Daecheol Kim, Kesav Krishnan, Grigory Terlov, Qiang Wu.## Collaborators

Shankar Bhamidi, Charlie Brummitt, Sourav Chatterjee, Shirshendu Chatterjee, Wei-Kuo Chen, Steve Evans, Matthew Joseph, Dmitry Panchenko, Ron Peled, Andrew Nobel, David Sivakoff, Ed Waymire, Nikos Zygouras.## Awards and Fellowships

- Simons Postdoctoral Fellowship at the Courant Institute of Mathematical Sciences, New York,
*Sep 2010-Aug 2013*. - Loéve Fellowship, UC Berkeley,
*Spring 2010*. - DV Gokhale International Grants in Statistics Program Award,
*Fall 2009*. - Berkeley Graduate Fellowship from University of California Berkeley,
*Aug 2006-July 2008*. - Mahalanobis International Symposium on Statistics Prize on having been selected as the most outstanding M. Stat. student in Statistics during 2004-2006,
*March 7, 2007*. - ISIAA Mrs. M. R. Iyer memorial award for outstanding performance in Master of Statistics, from the Indian Statistical Institute,
*March 7, 2007*. - ISIAA Mrs. M. R. Iyer memorial award for outstanding performance in Bachelor of Statistics, from the Indian Statistical Institute,
*March 18, 2005*. - Mamraj Agarwal award of appreciation from the Governor of West Bengal for obtaining highest rank in both Medical and Engineering Joint Entrance Examination (WBJEE) out of approximately 300,000 students,
*August 25, 2001*. - National Talent Search Scholarship award from Govt. of India,
*1996, 1997 and 1998*.

## Talks

- Invited talk at Probability Seminar, University of Pennsylvenia, November, 2015.
- Invited talk at Probability Seminar, CUNY, October, 2015
- Invited talk at Probability Seminar, Cornell University, October, 2015.
- Invited talk at AMS Sectional meeting, Loyola University, October, 2015.
- Invited talk at workshop on Disordered Models in Mathematical Physics, Valparaíso, Chile, July, 2015.
- Invited talk at National University of Singapore, May, 2015.
- Invited talk at IMA, Minnesota, April, 2015.
- Invited talk at Probability Seminar, Columbia University, March, 2015.
- Invited talk at AMS Sectional meeting, East Lansing, Michigan, March, 2015.
- Invited talk at Probability Seminar, University of Chicago, February, 2015.
- Invited talk at Conference on First passage Percolation, Cabo Frio, Brazil, November, 2014.
- Invited talk at Probability Seminar, Indiana University, October, 2014.
- Invited talk at Probability Seminar, University of Sheffield, November, 2013.
- Invited talk at Probability Seminar, University of Warwick, October, 2013.
- Invited talk at Probability Seminar, University of Bath, October, 2013.
- Invited talk at AMS Special Session on Dispersion in Heterogeneous and/or Random Environments, Tucson, October, 2012.
- Invited talk at Probability seminar, University of Connecticut, September 2012
- Invited talk at Probability seminar, Michigan University, March, 2012
- Invited talk at Probability seminar, Cornell University, November, 2011
- Invited talk at Probability seminar, LeHigh University, November, 2011
- Invited talk at IMS-China 2011 Conference, XiAn, China, July, 2011
- Invited talk at Probability seminar, Columbia University, February, 2011
- Invited talk at Probability seminar, Duke University, November, 2010
- Contributed talk at the ICM Satellite conference, Bangalore, August 13, 2010.
- Invited talk at Probability seminar, Stanford University, March 29, 2010.
- Invited talk at Probability seminar, UC Berkeley, March 3, 2010.
- Invited talk at Probability seminar, UNC Chapel Hill, February 24, 2010.
- Invited talk at Probability seminar, Univ of Chicago, February 12, 2010.
- Invited talk at MIT Probability seminar, February 10, 2010.
- Invited talk at Probability seminar, Indian Statistical Institute, February 4, 2010.
- Invited talk at AMS Joint Mathematics Meetings, San Francisco, CA, January 13, 2010.
- Probability Seminar, CIMS, NYU, November 6, 2009.
- 5th Cornell Probability Summer School at Cornell University, July 2009.
- MRC conference on Modern Markov Chains and their Statistical Applications, June 2009.
- AMS Special Session on Concentration Inequalities, April 2009.
- Seminar on Stochastic Processes at Stanford University, March 2009.
- International Conference on Recent Advances in Probability, Indian Statistical Institute, Dec. 2007.
- Graduate student conference in Probability, Wisconsin Madison, April 2007.