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

1. Random optimization problems at fixed temperatures. (with Grigory Terlov)
2. Central Limit Theorem for Gram-Schmidt Random Walk Design. (with Sabyasachi Chatterjee and Subhajit Goswami)
3. Collaboration of Random Walks on Graphs. (with Daesung Kim and Grigory Terlov)
4. Hypergraph counting and Mixed p-spin Glass Models under Replica Symmetry. (with Qiang Wu).
5. How to Build a Blockchain: The Asynchronous Composition Model. (with Aditya Gopalan), IEEE Blockchain Technical Briefs, Q3 2022.
6. Phase transition for discrete nonlinear Schrődinger equation in three and higher dimensions. (with Kay Kirkpatrick and Kesav Krishnan).
7. Berry-Esseen Theorem for Sample Quantiles with Locally Dependent Data. (with Grigory Terlov)
8. On an Asymptotic Criterion for Blockchain Design: The Asynchronous Composition Model. (with Aditya Gopalan)
9. Disordered Monomer-Dimer model on Cylinder graphs. (with Kesav Krishnan). J Stat Phys 190, 146 (2023).
10. Fluctuation results for size of the vacant set for random walks on discrete torus. (with Daesung Kim).
11. Mean Field Spin Glass Models under Weak External Field. (with Qiang Wu). Commun. Math. Phys. (2023).
12. Stein's method for Conditional Central Limit Theorem. (with Grigory Terlov). Ann. Probab., 51, no. 2, pp. 723-773, 2023.
13. 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.
14. A note on Stein equation for weighted sums of independent χ² distributions. (with Xiaohui Chen).
15. Longest increasing path within the critical strip. (with Matthew Joseph and Ron Peled).
16. 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.
17. 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.
18. High temperature limits for (1+1)-dimensional directed polymer with heavy-tailed disorder. (with Nikos Zygouras). Ann. Probab., 44 (6), pp. 4006–4048, 2016.
19. On Normalized Multiplicative Cascades under Strong Disorder. (With Ed Waymire). Electron. Commun. Probab., 20 (32), pp. 1–13, 2015.
20. Multiple phase transitions in long-range first-passge percolation on lattices. (With Shirshendu Chatterjee). Comm. Pure Appl. Math., DOI:10.1002/cpa.21571, 2015.
21. 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.
22. Spectra of random linear combinations of permutation matrices. (with Steven N. Evans).
23. Central limit theorem for first-passage percolation time across thin cylinders. (with Sourav Chatterjee), Probab. Theory Related Fields, 156 (3-4), 613-663, 2013.
24. Applications of Stein's method for concentration inequalities. (with Sourav Chatterjee). Ann. Probab., 38, 2443-2485, 2010.
25. Contributions to Stein’s method and some limit theorems in probability, PhD Thesis, UC Berkeley, 2010.
26. On the power breakdown of the negative exponential disparity tests. (with Ayan Basu) Aust. N. Z. J. Stat., 49(4), 381--384, 2007.
27. 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

Collaborators

Awards and Fellowships

1. Simons Postdoctoral Fellowship at the Courant Institute of Mathematical Sciences, New York, Sep 2010-Aug 2013 .
2. Loéve Fellowship, UC Berkeley, Spring 2010.
3. DV Gokhale International Grants in Statistics Program Award, Fall 2009.
4. Berkeley Graduate Fellowship from University of California Berkeley, Aug 2006-July 2008.
5. 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.
6. ISIAA Mrs. M. R. Iyer memorial award for outstanding performance in Master of Statistics, from the Indian Statistical Institute, March 7, 2007.
7. ISIAA Mrs. M. R. Iyer memorial award for outstanding performance in Bachelor of Statistics, from the Indian Statistical Institute, March 18, 2005.
8. 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.
9. National Talent Search Scholarship award from Govt. of India, 1996, 1997 and 1998.

Talks

1. Invited talk at Probability Seminar, University of Pennsylvenia, November, 2015.
2. Invited talk at Probability Seminar, CUNY, October, 2015
3. Invited talk at Probability Seminar, Cornell University, October, 2015.
4. Invited talk at AMS Sectional meeting, Loyola University, October, 2015.
5. Invited talk at workshop on Disordered Models in Mathematical Physics, Valparaíso, Chile, July, 2015.
6. Invited talk at National University of Singapore, May, 2015.
7. Invited talk at IMA, Minnesota, April, 2015.
8. Invited talk at Probability Seminar, Columbia University, March, 2015.
9. Invited talk at AMS Sectional meeting, East Lansing, Michigan, March, 2015.
10. Invited talk at Probability Seminar, University of Chicago, February, 2015.
11. Invited talk at Conference on First passage Percolation, Cabo Frio, Brazil, November, 2014.
12. Invited talk at Probability Seminar, Indiana University, October, 2014.
13. Invited talk at Probability Seminar, University of Sheffield, November, 2013.
14. Invited talk at Probability Seminar, University of Warwick, October, 2013.
15. Invited talk at Probability Seminar, University of Bath, October, 2013.
16. Invited talk at AMS Special Session on Dispersion in Heterogeneous and/or Random Environments, Tucson, October, 2012.
17. Invited talk at Probability seminar, University of Connecticut, September 2012
18. Invited talk at Probability seminar, Michigan University, March, 2012
19. Invited talk at Probability seminar, Cornell University, November, 2011
20. Invited talk at Probability seminar, LeHigh University, November, 2011
21. Invited talk at IMS-China 2011 Conference, XiAn, China, July, 2011
22. Invited talk at Probability seminar, Columbia University, February, 2011
23. Invited talk at Probability seminar, Duke University, November, 2010
24. Contributed talk at the ICM Satellite conference, Bangalore, August 13, 2010.
25. Invited talk at Probability seminar, Stanford University, March 29, 2010.
26. Invited talk at Probability seminar, UC Berkeley, March 3, 2010.
27. Invited talk at Probability seminar, UNC Chapel Hill, February 24, 2010.
28. Invited talk at Probability seminar, Univ of Chicago, February 12, 2010.
29. Invited talk at MIT Probability seminar, February 10, 2010.
30. Invited talk at Probability seminar, Indian Statistical Institute, February 4, 2010.
31. Invited talk at AMS Joint Mathematics Meetings, San Francisco, CA, January 13, 2010.
32. Probability Seminar, CIMS, NYU, November 6, 2009.
33. 5th Cornell Probability Summer School at Cornell University, July 2009.
34. MRC conference on Modern Markov Chains and their Statistical Applications, June 2009.
35. AMS Special Session on Concentration Inequalities, April 2009.
36. Seminar on Stochastic Processes at Stanford University, March 2009.
37. International Conference on Recent Advances in Probability, Indian Statistical Institute, Dec. 2007.
38. Graduate student conference in Probability, Wisconsin Madison, April 2007.