#
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: Varadhan 75

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

## Research

#### Preprints and publications

Identification of the Polaron measure in strong coupling and the Pekar variational formula, (with
*S. R. S. Varadhan**),
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)**, 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 and its central limit theorem, (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)**, Preprint: **https://arxiv.org/abs/1710.00631*
*A central limit theorem for the annealed path measures for the stochastic heat equation and continuous directed polymer in $d\geq 3$, 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