C.V.        Publications        Research Statement        Teaching Statement    

I am in the first year of the Schramm Memorial Fellowship which is a newly created joint position between Microsoft Research New England and the MIT Mathematics Department. Starting in summer 2012 I will also be a Clay Research Fellow. I completed my Ph.D. at the Courant Institute of Mathematical Sciences in 2011 under advisement of Gérard Ben Arous. I received my A.B. in Mathematics at Harvard.

Research interests include: Probability, non-equilibrium statistical mechanics, stochastic partitial differential equations, interacting particle systems, growth models, polymers, random matrices, Fredholm determinants, symmetric function theory, tropical combinatorics.

I coorganize the MIT Probability Seminar. In January 2012 I gave a course at the Pan-American Advanced Studies Institute. Here is talk 1, talk 2, talk 3, talk 4, talk 5. Participants may find this review useful as well. In late March 2012 I gave a course with Patrik Ferrari at Jussieu in Paris. Here are some slides on directed polymers and Macdonald processes.

Recent Publications

• Antonio Auffinger, Jinho Baik, Ivan Corwin. Universality for directed polymers in thin rectangles.
• Alexei Borodin, Ivan Corwin, Patrik Ferrari. Free energy fluctuations for directed polymers in random media in 1+1 dimension.
• Alexei Borodin, Ivan Corwin. Macdonald processes.
• I. Corwin, N. O'Connell, T. Seppalainen, N. Zygouras. Tropical combinatorics and Whitakker functions.
• I. Corwin, A. Hammond. Brownian Gibbs property for Airy line ensembles.

• I. Corwin. The Kardar-Parisi-Zhang equation and universality class. Random Matrices: Theory and Applications, 1 (2012).

• I. Corwin, J. Quastel, D. Remenik. Continuum statistics of the Airy2 process. Commun. Math. Phys. to appear.

• I. Corwin, J. Quastel. The renormalization fixed point of the Kardar-Parisi-Zhang universality class.

• I. Corwin, J. Quastel. Universal distribution of fluctuations at the edge of the rarefaction fan. Ann. Probab. to appear.

• G. Amir, I. Corwin, J. Quastel. Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions. Comm. Pure Appl. Math., 64:466-537 (2011).

• I. Corwin, P.L. Ferrari, S. Peche. Limit processes for TASEP with shocks and rarefaction fans. J. Stat. Phys. 140:232-267 (2010).

• I. Corwin, P.L. Ferrari, S. Peche. Universality of slow decorrelation in KPZ growth. Ann. Inst. H. Poincare B, to appear.

• G. Ben Arous, I. Corwin. Current fluctuations for TASEP: A proof of the Prahofer Spohn conjecture. Ann. Probab., 39:104-138 (2011).

 Complete list of papers.