Chiranjib Mukherjee (I have moved. My current homepage can be found HERE)

Visiting Assistant Professor
Department of Mathematics
Courant Institute of Mathematical Sciences
New York University

Contact Information
Warren Weaver Hall 1310
251 Mercer Street
New York, NY 10012
Email: mukherjee@cims.nyu.edu
Phone: +1 212 998 3336

Since September 1, 2015, I am a Visiting Assistant Professor at the Courant Institute of Mathematical Sciences,in the Department of Mathematics at NYU. Here is my

CV

I am a probabilist. My active research interest focuses on developing and applying large deviation theory to models pertaining to interacting Brownian motions arising in statistical mechanics. I also study questions relating homogenization of random nonlinear PDEs and random walks/diffusions in random environment as well as the continuum random polymer.

Conference at the University of Münster (August 26-30, 2019): Dynamics, Random Media and Universality of Complex Physical Systems

  • Dynamics, Random Media and Universality of Complex Physical Systems

    Conference: Varadhan 75

  • Conference celebrating the 75th birthday of S.R.S.Varadhan

    Conference: Fall school in Statistical Mechanics and PhD students' meeting in Probability (Doktorandentreffen Stochastik)

  • Fall school in Statistical Mechnics and PhD students conference in Probability

    Research

    Preprints and publications

  • Commutative diagram of the Gross-Pitaevskii approximation (with Stefan Adams) Preprint:https://arxiv.org/abs/1911.09635

  • On null-homology and stationary sequences (with Gerold Alsmeyer) Preprint:https://arxiv.org/abs/1910.07378

  • Equality and difference of quenched and averaged large deviation rate functions for random walks in random environments without ballisticity (with Rodrigo Bazaes, Alejandro Ramírez and Santiago Saglietti) Preprint:https://arxiv.org/abs/1906.05328

  • Space-time fluctuation of the Kardar-Parisi-Zhang equation in $d\geq 3$ and the Gaussian free field (with Francis Comets and Clément Cosco), Preprint:https://arxiv.org/abs/1905.03200

  • Renormalizing the Kardar-Parisi-Zhang equation in $d\geq 3$ in weak disorder, (with Francis Comets and Clément Cosco), (Journal of Statistical Physics), Preprint:https://arxiv.org/abs/1902.0410

  • Identification of the Polaron measure in strong coupling and the Pekar variational formula, (with S. R. S. Varadhan), (Annals of Probability), Preprint:https://arxiv.org/abs/1812.06927

  • Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder, (with Yannic Bröker): (Annals of Applied Probability), Preprint: https://arxiv.org/abs/1808.05202

  • Fluctuation and rate of convergence for the stochastic heat equation in weak disorder, (with Francis Comets and Clément Cosco), Preprint:https://arxiv.org/abs/1807.03902

  • Strong coupling limit of the Polaron measure and the Pekar process, (with S. R. S. Varadhan), Preprint:https://arxiv.org/abs/1806.06865

  • Identification of the Polaron measure I: Fixed coupling regime and the central limit theorem for large times, (with S. R. S. Varadhan),(Communications on Pure and Applied Mathematics), Preprint: https://arxiv.org/abs/1802.05696

  • Quenched central limit theorem for the stochastic heat equation in weak disorder, (with Yannic Broeker), (Springer: Probability and Analysis in Interacting Physical Systems, in honour of S. R. S. Varadhan) Preprint: https://arxiv.org/abs/1710.00631

  • Central limit theorem for Gibbs measures including long range and singular interactions and homogenization of the stochastic heat equation, (Annals of Applied Probability (in revision)), Preprint, https://arxiv.org/abs/1706.09345

  • Quenched large deviations for random walks on percolation models including long range correlations, (with Noam Berger and Kazuki Okamura), (Communications in Mathematical Physics), Preprint: http://arxiv.org/abs/1612.01393

  • Weak and strong disorder for the stochastic heat equation and continuous directed polymer in $d\geq 3$: (with Ofer Zeitouni and Alexander Shamov), (Electronic Comm. Probab.), Preprint: http://arxiv.org/abs/1601.01652

  • Mean-field interaction of Brownian occupation measures. II: A rigorous construction of the Pekar process: (with Erwin Bolthausen and Wolfgang Koenig), (Communications on Pure and Applied Mathematics), Preprint: http://arxiv.org/abs/1511.05921

  • Gibbs measures on mutually interacting Brownian paths under singularities, (Communications on Pure and Applied Mathematics), Preprint: http://arxiv.org/abs/1510.04663

  • Mean-field interaction of Brownian occupation measures. I: Uniform tube property of the Coulomb functional: (with Wolfgang Koenig), (Annales de l'institut Henri Poincaré Probabilites et Statistiques), Preprint: http://arxiv.org/abs/1509.06672

  • Quenched large deviations for random walks on supercritical percolation clusters, (with Noam Berger, Preprint: http://arxiv.org/abs/1501.02730

  • Brownian occupation measures, compactness and large deviations, (with S. R. S. Varadhan), (Annals of Probability), Preprint: http://arxiv.org/abs/1404.5259

  • Large deviations for Brownian intersection measures, (with Wolfgang Koenig), Communications on Pure and Applied Mathematics, Preprint: http://arxiv.org/abs/1105.1063

    Teaching

    This semester (Spring 2016) I am teaching Calculus-3 at NYU. More information can be found at