Riddhipratim Basu Contact Information: International Centre for Theoretical Sciences Tata Institute of Fundamental Research Survey 151, Shivakote, Hesaraghatta Hobli, Bengaluru-560089, INDIA Email: rbasu@icts.res.in

I am an Associate Professor at the International Centre for Theoretical Sciences of the Tata Institute of Fundamental Research (ICTS-TIFR). Before coming to ICTS, I was a Szegö Assistant Professor of Mathematics at Stanford University. Prior to that, I obtained my Ph.D. from the Department of Statistics, University of California, Berkeley, advised by Allan Sly.

I am broadly interested in Probability Theory and its applications. More specifically, I have recently been working on first and last passage percolation, interacting particle systems and large deviations among other topics.

Employment

Education

Research

Publications and Preprints

• Random trees in hyperbolic FPP. With Mahan Mj.
  Submitted. arXiv.


• Rotationally invariant first passage percolation: Breaking the $n/\log n$ variance barrier. With Vladas Sidoravicius and Allan Sly.
  arXiv.


• Large deviations of geodesic midpoint fluctuations in last-passage percolation with general i.i.d. weights. With Tom Alberts, Sean Groathouse and Xiao Shen.
  Proc. Amer. Math. Soc., Accepted 2026. arXiv.


• Geodesic Trees and Exceptional Directions in FPP on Hyperbolic Groups. With Mahan Mj.
  Adv. Math., Vol. 498, 111030, 2026. Journal, arXiv.


• The Paquette-Zeitouni law of fractional logarithms for the GUE minor process and the Plancherel growth process. With Jnaneshwar Baslingker, Sudeshna Bhattacharjee and Manjunath Krishnapur.
  Ann. Appl. Probab., Accepted 2026. arXiv.


• Limit theorems for extrema of Airy processes. With Sudeshna Bhattacharjee.
  arXiv.


• Sharp deviation bounds for midpoint and endpoint of geodesics in exponential last passage percolation. With Pranay Agarwal.
  Submitted. arXiv.


• Optimal tail estimates in β-ensembles and applications to last passage percolation. With Jnaneshwar Baslingker, Sudeshna Bhattacharjee and Manjunath Krishnapur.
  Prob. Math. Phys., Vol. 6, No. 4, 1379-1442, 2025. Journal, arXiv.


• Rotationally invariant first passage percolation: Concentration and scaling relations. With Vladas Sidoravicius and Allan Sly.
  arXiv.


• Geodesic trees in last passage percolation and some related problems. With Marton Balázs and Sudeshna Bhattacharjee.
  AIHP, 62(3), 2157-2198, 2026. Journal, arXiv.


• Time correlations in KPZ models with diffusive initial conditions. With Xiao Shen.
  Ann. Appl. Probab., 36(3), 2559-2593, 2026. Journal, arXiv.


• Temporal correlation in the inverse-gamma polymer. With Timo Seppäläinen and Xiao Shen.
  Comm. Math. Phys., Vol. 405, article no. 163, 2024. Journal, arXiv.


• A Peano curve from mated geodesic trees in the directed landscape. With Manan Bhatia.
  Submitted. arXiv.


• On the exponent governing the correlation decay of the Airy_1 process. With Ofer Busani and Patrik Ferrari.
  Comm. Math. Phys., 398, pp 1171-1211 (2023). Journal, arXiv.


• Environment seen from infinite geodesics in Liouville Quantum Gravity. With Shirshendu Ganguly and Manan Bhatia.
  Ann. Probab., Vol. 52, No. 4, pp 1399-1486, 2024. Journal, arXiv.


• Small deviation estimates and small ball probabilities for geodesics in last passage percolation. With Manan Bhatia.
  Israel J. Math., Vol. 264, pp 37-96, 2024. Journal, arXiv.


• Interlacing and scaling exponents for the geodesic watermelon in last passage percolation. With Shirshendu Ganguly, Alan Hammond and Milind Hegde .
  Comm. Math. Phys., 393, pp 1241-1309 (2022). Journal, arXiv.


• Upper tail large deviations of the cycle counts in Erdős-Rényi graphs in the full localized regime. With Anirban Basak.
  Communications on Pure and Applied Mathematics, Vol. 76, Issue 1, pp 3-72 (2023). Journal, arXiv.


• Temporal Correlation in Last Passage Percolation with Flat Initial Condition via Brownian Comparison. With Shirshendu Ganguly and Lingfu Zhang.
  Comm. Math. Phys., 383, pp 1805-1888 (2021). Journal, arXiv.


• First Passage Percolation on Hyperbolic groups. With Mahan Mj.
  Adv. Math., Vol. 408, Part A, 108599 (2022). Journal, arXiv.


• Lower Deviations in $beta$-ensembles and Law of Iterated Logarithm in Last Passage Percolation. With Shirshendu Ganguly, Milind Hegde and Manjunath Krishnapur.
  Israel Journal of Mathematics, 242, pp 291-324 (2021). Journal, arXiv.


• Fractal geometry of Airy_2 processes coupled via the Airy sheet. With Shirshendu Ganguly and Alan Hammond.
  Ann. Probab. 49(1), pp. 485-505 (2021). Journal, arXiv.


• Connecting Eigenvalue Rigidity with Polymer Geometry: Diffusive Transversal Fluctuations under Large Deviation. With Shirshendu Ganguly.
  Annales de l’Institut Henri Poincaré, accepted (2022). arXiv.


• Non-existence of Bi-geodesics in Integrable Models of Last Passage Percolation. With Christopher Hoffman and Allan Sly .
  Comm. Math. Phys., 389(1), pp 1-30 (2022). Journal, arXiv.


• Time Correlation Exponents in Last Passage Percolation. With Shirshendu Ganguly.
  In: In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius. Progress in Probability, vol 77 (2021). Book chapter, arXiv.


• Upper Tail Large Deviations in First Passage Percolation. With Shirshendu Ganguly and Allan Sly .
  Communications on Pure and Applied Mathematics, Volume 74, Issue 8, pp 1577-1640 (2021). Journal, arXiv.


• Delocalization of Polymers in Lower Tail Large Deviation. With Shirshendu Ganguly and Allan Sly .
  Comm. Math. Phys., Vol. 370, Issue 3, pp 781-806 (2019). Journal, arXiv.


• Activated Random Walk on a cycle. With Shirshendu Ganguly, Christopher Hoffman and Jacob Richey.
  Annales de l’Institut Henri Poincaré, Volume 55, Number 3, pp 1258-1277 (2019). Journal, arXiv.


• Exponential concentration for zeroes of stationary Gaussian processes. With Amir Dembo, Naomi Feldheim and Ofer Zeitouni.
  International Mathematics Research Notices, Volume 2020, Issue 23, pp 9769-9796 (2020). Journal, arXiv.


• Invariant Measures for TASEP with a Slow Bond. With Sourav Sarkar and Allan Sly.
  arXiv.


• The Competition of Roughness and Curvature in Area-Constrained Polymer Models. With Shirshendu Ganguly and Alan Hammond.
  Comm. Math. Phys., Vol. 364, Issue 3, pp 1121-1161 (2018). Journal, arXiv.


• Coalescence of Geodesics in Exactly Solvable Models of Last Passage Percolation. With Sourav Sarkar and Allan Sly.
  J. Math. Phys., 60, 093301 (2019). Journal, arXiv.


• Lipschitz Embeddings of Random Fields. With Vladas Sidoravicius and Allan Sly.
  Probability Theory and Related Fields, Vol. 172, Issue 3-4, pp 1121-1179 (2018). Journal, arXiv.


• SO(N) Lattice Gauge Theory, planar and beyond. With Shirshendu Ganguly.
  Communications on Pure and Applied Mathematics, Vol. 71, Issue 10, pp 2016-2064 (2018). Journal arXiv.


• Limit Theorems for Longest Monotone Subsequences in Random Mallows Permutations. With Nayantara Bhatnagar.
  Annales de l’Institut Henri Poincaré,Volume 53, Number 4, pages 1934-1951 (2017). Journal, arXiv.


• Non-fixation for Conservative Stochastic Dynamics on the line. With Shirshendu Ganguly and Christopher Hoffman.
  Communications in Mathematical Physics, Vol. 358, Issue 3, pp 1151-1185 (2018). Journal, arXiv.


• Trapping Games on Random Boards. With Alexander Holroyd, James Martin and Johan Wästlund.
  Annals of Applied Probability, 26, 6, pages 3727-3753 (2016). Journal, arXiv.


• Evolving Voter Model on Dense Random Graphs. With Allan Sly.
  Annals of Applied Probability, 27, 2, pages 1235-1288 (2017). Journal, arXiv.


• Bi-Lipschitz Expansion of Measurable Sets. With Vladas Sidoravicius and Allan Sly.
  Submitted. arXiv.


• Scheduling of Non-colliding Random Walks. With Vladas Sidoravicius and Allan Sly.
  In: Sojourns in Probability Theory and Statistical Physics - III. Springer Proceedings in Mathematics & Statistics, vol 300 (2019). Book chapter, arXiv.


• Last Passage Percolation with a Defect Line and the Solution of the Slow Bond Problem. With Vladas Sidoravicius and Allan Sly.
  Submitted. arXiv.


• Characterization of cutoff for reversible Markov chains. With Jonathan Hermon and Yuval Peres.
  Annals of Probability, 45,3, pages 1448-1487 (2017). Extended abstract appeared in SODA 2015. Journal, arXiv.


• Lipschitz embeddings of random sequences. With Allan Sly.
  Probability Theory and Related Fields, 159, 3-4, pages 721-775 (2014). Journal, arXiv.


• Joint convergence of several copies of different patterned random matrices. With Arup Bose, Shirshendu Ganguly and Rajat Subhra Hazra.
  Electronic Journal of Probability, 17, Paper no. 82, 1-33 (2012). Journal, arXiv.


• Limiting Spectral Distribution of Block Matrices with Toeplitz Block Structure With Arup Bose, Shirshendu Ganguly and Rajat Subhra Hazra.
  Statistics and Probability Letters, 82, 1, 1430-1438 (2012). Journal, arXiv.


• Spectral properties of random triangular matrices. With Arup Bose, Shirshendu Ganguly and Rajat Subhra Hazra.
  Random Matrices: Theory and Applications. Vol. 1, No. 3, 1250003 (2012). Journal, arXiv.


• The Projection Median for a set of Points in $\mathbb{R}^d$. With Bhaswar B. Bhattacharya and Tanmoy Talukdar.
  Discrete & Computational Geometry 47(2): 329-346 (2012). Conference version in CCCG 2010. Journal


• On Some Sequences of the Secret Pseudo-random Index j in RC4 Key Scheduling. With Subhamoy Maitra, Gautam Paul and Tanmoy Talukdar.
  Proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error Correcting Codes (AAECC), June 8-12, 2009, Tarragona, Spain. LNCS


• A Complete Characterization of the Evolution of RC4 Pseudo Random Generation Algorithm. With Shirshendu Ganguly, Subhamoy Maitra and Gautam Paul.
  Journal of Mathematical Cryptology, pages 257-289, vol. 2, no. 3, October, 2008. Conference version in SASC 2008. Jounal





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