Research

My research interests are in probability theory. I am particularly interested in the random growth models that belong to the KPZ universality class, geometric properties of the KPZ fixed point and the relevant processes, last passage percolation, exclusion processes, competitive erosion, stable random fields, percolation theory, Coulomb gas and random walks on graphs. Here is a link to my CV (updated periodically).
Following is a list of my publications and preprints.

  1. Infinite order phase transition in the slow bond TASEP. With Allan Sly and Lingfu Zhang.(ArXiv)

  2. Three-halves variation of geodesics in the directed landscape. With Duncan Dauvergne and Bálint Virág. Annals of Probability, to appear. (ArXiv)

  3. Convergence of exclusion processes and KPZ equation to the KPZ fixed point. With Jeremy Quastel. Journal of the American Mathematical Society, to appear. (ArXiv)

  4. Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition. With Bálint Virág. Annals of Probability, to appear. (ArXiv)

  5. Ground states and hyperuniformity of the hierarchical Coulomb gas in all dimensions. With Shirshendu Ganguly. Probability Theory and Related Fields, , 177(3-4):621-675, 2020. (ArXiv)

  6. Stability of collision property of a graph. With Omer Angel and Yuval Peres. (Draft available on request.)

  7. A note on the local weak limit of a sequence of expander graphs. Electronic Communications in Probability, to appear.(ArXiv)

  8. Modulus of continuity for polymer fluctuations and weight profiles in Poissonian last passage percolation. With Alan Hammond. Electron. J. Probab., 25, paper no. 29, 38pp., (2020). (ArXiv)

  9. Last Passage Percolation and the Slow Bond Problem.. ProQuest LLC, Ann Arbor, MI, 2019. Thesis (Ph.D.)-University of California, Berkeley. (escholarship.org/uc)

  10. Formation of large-scale random structure by competitive erosion. With Shirshendu Ganguly and Lionel Levine. Annals of Probability, 47(6):3649-3704, 2019.(ArXiv)

  11. Invariant measures for TASEP with a slow bond. With Riddhipratim Basu and Allan Sly.(ArXiv)

  12. Coalescence of geodesics in exactly solvable models of last passage percolation. With Riddhipratim Basu and Allan Sly. J. Math. Phys., 60, 093301 (2019). (ArXiv)

  13. A relative anti-concentration inequality. With Manjunath Krishnapur.(ArXiv)

  14. Stable random fields indexed by finitely generated free groups.With Parthanil Roy. Annals of Probability, 2018, Vol. 46, No. 5, 2680-2714.(ArXiv)