Proof of Zamolodchikov conjecture for semi-classical conformal blocks on torus. 2024. With Harini Desiraju and Andrei Prokhorov. 

Hybrid Global Causal Discovery using Local Search. 2024. With Kyra Gan, Sujai Hiramath, Jacquelin Maasch, Mengxiao Gao. Submitted.

Convexity and Measures of Statistical Association. 2023.  With Emanuele Borgonovo, Alessio Figalli, Elmar Plischke, Giuseppe Savare. Submitted.

Linear programming using diagonal linear networks. 2023. With Haoyue Wang and Rahul Mazumder. Submitted.

From stability to chaos: Analyzing Gradient Descent Dynamics in Quadratic Regression. 2023. With Xuxing Chen,  Krishnakumar Balasubramanian and Bhavya Agrawalla. Accepted in Transaction on Machine Learning Research.

Towards understanding the dynamics of Gaussian-Stein Variational Gradient Descent. 2023. With Tianle Liu,  Krishnakumar Balasubramanian and Natesh Pillai. Accepted in NeurIPS 2023.

High-dimensional scaling limits and fluctuations of online least square SGD with smooth covariance. 2023. With Krishnakumar Balasubramanian and Ye He. Submitted.

Fractal geometry of the parabolic Anderson model in 2D and 3D with white noise potential. 2023. With Jaeyun Yi. ArXiv Preprint.

High dimensional Central Limit Theorems for Linear Functionals of Online Least Square SGD. 2023. With Bhavya Agrawalla and Krishnakumar Balasubramanian. Submitted. 

On the Convergence Rate of Sinkhorn's algorithm. 2022. With  Marcel Nutz. Submitted.

Analyticity and symmetry of Virasoro conformal block via Liouville CFT. 2022. Guillaume Remy, Xin Sun and Yi Sun. Preprint.

Long and short time laws of iterated logarithms for the KPZ fixed point. 2022. With Sayan Das and Yier Lin. Submitted.

Moment intermittency in the PAM with asymptotically singular noise,  2022. With Pierre Yves Gaudreau Lamarre and Yuchen Liao.  Accepted in Transaction of American Mathematical Society.

Randomly initialized one-layer neural networks make data linearly separable, 2022. With Srinath Mahankali and Yihang Sun.  Submitted.

The ASEP speed process, 2022. With Amol Aggarwal and Ivan Corwin. Accepted in Advances in Mathematics.

Universality for multiplicative statistics of Hermitian random matrices  and the integro-differential Painleve-II equation, 2022. With Guilherme L. F. Silva. Accepted in Communication in Mathematical Physics.

Rigidity of the Stochastic Airy Operator, 2021. With Pierre Yves Gaudreau Lamarre, Wenxuan Li and Yuchen Liao. Accepted in International Mathematics Research Notices.

Fractal Geometry of the Valleys of the Parabolic Anderson equation, 2021. With Jaeyun Yi. Accepted in Annales de l’Institut Henri Poincaré.

Rates of Estimation of Optimal Transport Maps using Plug-In Estimators via Barycentric projections, 2021. With Nabarun Deb and Bodhisattva Sen. Published in NeurIPS 2021.

 Stability of Entropic Optimal Transport and Schrodinger Bridges, 2021. With Espen Bernton and Marcel Nutz. Appeared in Journal of Functional Analysis.

Entropic Optimal Transport: Geometry and Large Deviations, 2021. With Espen Bernton and Marcel Nutz. Appeared in Duke Math Journal.

 Law of iterated logarithms and fractal properties of the KPZ equation, 2021.  With Sayan Das. Accepted in Annals of Probability.

On spatial conditioning of the Spectrum of discrete random Schrodinger operator, 2021. With Pierre Yves Gaudreau Lamarre and Yuchen Liao. Accepted in Journal of Spectral Theory.

Measuring Association on Topological Spaces using Kernels and Geometric Graphs, 2020.  With Nabarun Deb and Bodhisattva Sen. Submitted.

Lyapunov exponents of the SHE for general initial data, 2020. With Yier Lin.  Accepted in Annales de l’Institut Henri Poincaré.

Probabilistic conformal block for Liouville CFT on the torus, 2020.  With Guillaume Remy, Xin Sun and Yi Sun. To appear in Duke Math Journal.

Spectral rigidity of random Schrodinger operators via Feynman-Kac formulas, 2019. With Pierre Yves Gaudreau Lamarre and Yuchen Liao.  Appeared in Annales Henri Poincare.

KPZ equation correlations in time, 2019. With Ivan Corwin and Alan Hammond .  Appeared in Annals of Probability. 

Stochastic PDE limit of the dynamic ASEP, 2019. With  Ivan Corwin and Konstantin Matetski. Appeared in Communication in Mathematical Physics.

Multivariate Ranks and Quantiles using Optimal Transport: Consistency, Rates and Nonparametric Testing, 2019. With  Bodhisattva Sen. Accepted in Annals of Statistics.

Limiting speed of a second class particle in ASEP, 2019. With Axel Saenz and Ethan Zell.

KPZ equation tails for general initial data, 2018. With Ivan Corwin. Appeared in Electronic Journal of Probability.

Moments of SHE under delta initial measure, 2018.

Stochastic PDE limit of the six vertex model, 2018.  With Ivan Corwin, Hao Shen and Li-Cheng Tsai. Appeared in Communication in Mathematical Physics.

Coulomb gas electrostatics controls large fluctuation of the KPZ equation, 2018.  With  Ivan Corwin, Pierre Le Doussal, Alexandre Krajenbrink and Li-Cheng Tsai. Appeared in Physical Review Letters.

Lower tail of the KPZ equation, 2018. With  Ivan Corwin. Accepted in Duke Math Journal.

Joint estimation of parameters in Ising model, 2018. With Sumit Mukherjee. Appeared in Annals of Statistics.

Limit law of a second class particle in TASEP under non-random initial data, 2017. With Patrik L. Ferrari and Peter Nejjar. Appeared in Annales de l'Institut Henri Poincaré, Probabilites and Statistiques

Correlations function of the Pfaffian Schur process using Macdonald difference operators, 2017. Appeared in SIGMA. 

Hall-Littlewood-PushTASEP and its KPZ limit, 2017.

On Univariate Convex Regression, 2016. With Bodhisattva Sen. Appeared in Sakhya.