Research Work
My research lies in the field of Probability Theory and its applications to models of statistical physics (random media, random polymers, KardarParisiZhang universality, scaling limits of disordered systems, Stochastic PDEs). I am also interested in the relations to random matrices, PDEs, representation theory and combinatorics.
Lecture Notes & Surveys
 Directed polymers in a random environment: a review of the phase transitions, a review paper written in the memory of Francis Comets
 Discrete Stochastic Analysis notes from a course given at Warwick and Academia Sinica and National Centre for Theoretical Sciences, Taipei.
 The 2d KPZ as a marginally relevant disordered system, notes from a mini course given at the Hausdorff Institute
 Some algebraic aspects in the KPZ universality, Probability Surveys 19: 590700 (2022) arXiv.1812.07204
 Sacling limits of disordered systems and disorder relevance (with F. Caravenna, R. Sun), Proceedings of the XVIII International Congress of Mathematical Physics, arxiv.1602.05825
Publications
 The AllenCahn equation with weakly critical random initial datum, (with S. Gabriel and T. Rosati), arxiv2311.04628
 Nonintersecting path constructions for TASEP with inhomogeneous rates and the KPZ fixed point, (with E. Bisi, Y. Liao, A. Saenz), Comm. Math. Phys., 402, 285–333 (2023), arXiv:2208.13580
 The critical 2d Stochastic Heat Flow is not a Gaussian Multiplicative Chaos, (with F. Caravenna and R. Sun), Ann. Prob., to appear, arxiv2206.08766
 A multivariate extension of the ErdosTaylor theorem, (with D. Lygkonis), Prob. Th. Rel. Fields, to appear, arxiv.2202.08145
 Moments of the 2d directed polymer in the subcritical regime and a generalisation of the ErdÃ¶sTaylor theorem, (with D. Lygkonis), Comm. Math. Phys., 401, 2483–2520 (2023), arxiv2109.06115
 The critical 2d stochastic heat flow, (with F. Caravenna and R. Sun), Inventiones Math., 233, 325–460 (2023), arxiv2109.03766
 EdwardsWilkinson fluctuations for the directed polymer in the full $L^2$regime for dimensions $d\geq 3$
, arxiv.2005.12706 (with D. Lygkonis), Ann. Inst. Henri PoincarÃ© (B) Prob. Stat., 58 (1): 65104, (2022)  The geometric Burge correspondence and the partition function of polymer replica, (with E. Bisi and N. O'Connell), Selecta Math. 27, Article number: 100 (2021), arXiv.2001.09145
 Transition between characters of classical groups, decomposition of GelfandTsetlin patterns and last passage percolation, (with E. Bisi), Advances Math., Vol 404, B, (2022) arxiv.1905.09756
 The two dimensional KPZ equation in the entire subcritical regime, (with F. Caravenna and R. Sun), Ann. Prob., Vol. 48, No 3, 10861127 (2020), arxiv.1812.03911.pdf
 On the moments of the (2+1)dimensional directed polymer and stochastic heat equation in the critical window, (with F. Caravenna and R. Sun), Comm. Math. Phys. 372, 156 (2019) arxiv.1808.03586
 The Dickman subordinator, renewal theorems and disordered systems, (with F. Caravenna and R. Sun), Elect. J. Prob., vol 24, no 101, 140, (2019), arXiv:1805.01465
 GOE and marginal distribution via symplectic Schur functions, (with E. Bisi), arXiv:1711.05120, in Probability and Analysis in Interacting Physical Systems, Springer Volume for Raghu Varadhan's 75th birthday
 Pointtoline polymers and orthogonal Whittaker functions, (with E. Bisi), arXiv:1703.07337, Transactions of the AMS, 371 (2019), 83398379
 Universality in marginally relevant disordered systems, (with F. Caravenna and R. Sun), arxiv:1510.06287, Ann. Appl. Prob. 2017, Vol. 27, No. 5, 30503112
 Variants of geometric RSK, geometric PNG and the multipoint distribution of the loggamma polymer, (with Vu Lan Nguyen) arXiv:1509.03515, Int. Math. Res. Notices, 2017 (15): 47324795
 High temperature limits of (1+1)dimensional directed polymer with heavytailed disorder, (with P. Dey) arxiv:1503.01054, Ann. Prob., 2016, Vol. 44, No. 6, 40064048
 The continuum disordered pinning model (with F. Caravenna and R. Sun), arXiv:1406.5088, Prob. Theory Rel. Fields, (2016), no. 12, 1759
 Polynomial chaos and scaling limits of disordered systems (with F. Caravenna and R. Sun), J. Eur. Math. Soc. 19 (2017), 165 arXiv: 1312.3357.pdf
 The Critical Curve of the Random Pinning and Copolymer Models at Weak Coupling (with Q. Berger, F. Caravenna, J. Poisat and R. Sun), Comm. Math. Phys., Volume 326, Issue 2, (2014), 507530 arXiv:1301.5308
 Geometric RSK correspondence, Whittaker functions and symmetrized random polymers (with N. O'Connell and T. Seppalainen), Inventiones Math., Volume 197, Issue 2, 361416 (2014) publisher open access, arxiv:1210.5126

Path properties of the disordered pinning polymer in the delocalized regime (with K. Alexander), Ann. Appl. Prob., Vol. 24, No. 2, 599–615 (2014) arXiv:1210.1862

Subgaussian concentration and rates of convergence in directed polymers (with K. Alexander) Electronic J. Prob., 18 (2013), no. 5, 1–28. arxiv.1204.1819

Tropical combinatorics and Whittaker functions, (with I. Corwin, N. O'Connell, T.Seppalainen), Duke Math J., (2014) Volume 163, Number 3, 513563 arXiv:1110.3489

Strong disorder in semidirected random polymers, Ann. Inst. Henri Poincare (B) Prob. Stat. (2013), Vol. 49, No. 3, 753–780 http://arxiv.org/abs/1009.2693

Behavior of the solution of a random semilinear equation, (with S.R.S. Varadhan) Comm. Pure and Appl. Math. 61 (2008), no. 9, 12981329.

Exponential convergence for a periodically driven semilinear heat equation, Ann. Inst. Henri Poinc.  Anal. Non Lineaire , 271284, AN 26 (2009)

Lyapounov norms for random walks in low disorder and dimension greater than three, Prob. Theory Rel. Fields Volume 143, Numbers 34, (2009)

Quenched and annealed critical points in polymer pinning models, ( with Ken Alexander) Comm. Math. Phys. 291, 659689 (2009)

Equality of Critical Points for Polymer Depinning Transitions with Loop Exponent One, (with Ken Alexander), Ann. Appl. Prob, Volume 20, Number 1 (2010), 356366
Proceedings
 Semidirected random polymers: Strong disorder and localization, Actes des rencontres du CIRM, 2 no. 1, (2010) p. 4748, journal link
 Phase transitions in random pinning polymers, Oberwolfach reports, No. 38/2009, 378379
PhD Thesis
 Limit theorems for a periodically or randomly driven semilinear equation (supervised by S.R.S. Varadhan)