Curriculum Vitae of Vadim Gorin

Transcription

1 Curriculum Vitae of Vadim Gorin Web page: Born in 1986 in Moscow. Education: Graduated from school 57 (Moscow) in , undergraduate student, Department of Mechanics and Mathematics, Moscow State University. M.S., in Mathematics (with honors, GPA 5.0 out of 5.0) , graduate student, Moscow State University; Independent University of Moscow; Utrecht University. Academic degrees Candidate of sciences (Russian analogue of PhD) in mathematics from Moscow State University (2011). Advisors: prof. Grigori Olshanski and prof. Boris Gurevich Thesis title: Random tilings and stochastic dynamics on the Gefland Tsetlin graph PhD in mathematics from Utrecht University (2011). Advisors: prof. Grigori Olshanski, prof. Erik P. van den Ban, and prof. Alexander Gnedin Thesis title: Random 3-D Young diagrams and representation theory Employment: Assistant Professor at Massachusetts Institute of Technology (since 01/2015) CLE Moore Instructor at Massachusetts Institute of Technology. ( ) Postdoctoral Fellow at Mathematical Sciences Research Institute (Berkeley), program Random Spatial Processes. (01/ /2012) Researcher, Dobrushin Mathematics Laboratory, Institute for Information Transmission Problems of Russian Academy of Sciences. (since 2011) Junior Researcher, The Hydrological and Meteorological Research Centre of Russian Federation. ( ) Intern at Microsoft Research, Theory Group. (July-September 2009, mentor: A. Holroyd) Teacher of Mathematics, Moscow State School 57. ( ) Awards, scholarships and grants: Sloan Research Fellowship (2016) Prize of Moscow Mathematical Society (2014) NSF Grant DMS ( ) Travel grant for International Congress of Mathematics in Seoul (2014) Speaker from MSRI at MSRI Academic Sponsor Day and Scientist in the Focus for MSRI newsletter Emissary (Spring 2012) Scholarship of Dynasty foundation for young mathematicians (2011) IUM-Simons foundation scholarship for graduate students (2011) Grant Development of the scientific potential of the higher school ( ) RFBR-CNRS grants ( ) and ( ) Scholarship of the government of Russia (2010) RFBR grant ( ) Additional scholarship of Independent University of Moscow for excellent grad. students (2009) A.N. Kolmogorov scholarship ( ). Silver prize-winner of The Twelfth Moebius Contest (2008, with 2 years scholarship) 1

2 Winner of The Eleventh Moebius Contest (2007, 1 year scholarship, Silver prize-winner of The Leonhard Eulers Foundation Contest for students (2007, with 1 year scholarship, ) In school years: repeated prize winner of Moscow Mathematical Olympiad and Russian Mathematical Olympiad. Research articles: Published papers (in chronological order): 1. Non-intersecting paths and Hahn orthogonal polynomial ensemble, Functional Analysis and its Applications, 42 (2008), no. 3, arxiv: Noncolliding Jacobi processes as limits of Markov chains on the Gelfand- Tsetlin graph. Journal of Mathematica Sciences (New York) 158 (2009), no. 6, (translated from Zapiski Nauchnykh Seminarov POMI, Vol. 360 (2008), pp ). arxiv: Shuffling algorithm for boxed plane partitions (joint paper with A.Borodin). Advances in Mathematics, 220 (2009), no. 6, arxiv: Disjointness of representations arising in harmonic analysis on the infinite-dimensional unitary group, Functional Analysis and its Applications, 44 (2010), no. 2, arxiv: q-distributions on boxed plane partitions (joint paper with A. Borodin and E. Rains). Selecta Mathematica, New Series, 16 (2010), no. 4, , arxiv: The q-gelfand-tsetlin graph, Gibbs measures and q-toeplitz matrices, Advances in Mathematics, 229 (2012), no. 1, , arxiv: A pattern theorem for random sorting networks (joint paper with O. Angel and A. Holroyd), Electronic Journal of Probability, 17 (2012), no. 99, arxiv: Markov processes of infinitely many nonintersecting random walks (joint paper with A. Borodin), Probability Theory and Related Fields, 155 (2013), no. 3 4, arxiv: Block characters of the symmetric groups (joint paper with A. Gnedin and S. Kerov), Journal of Algebraic Combinatorics, 38 (2013), no. 1, arxiv: Record-dependent measures on the symmetric groups (joint paper with A. Gnedin), Random Structures and Algorithms, 46, no. 4 (2015), arxiv: Limits of Multilevel TASEP and similar processes (joint paper with M. Shkolnikov), Annales de l Institut Henri Poincare, Probabilites et Statistiques, 51, no. 1 (2015), arxiv: Finite traces and representations of the group of infinite matrices over a finite field (joint paper with S. Kerov, A. Vershik), Advances in Mathematics, 254 (2014), arxiv: Lectures on integrable probability (joint paper with A. Borodin). In: Probability and Statistical Physics in St. Petersburg, Proceedings of Symposia in Pure Mathematics, Vol. 91, AMS arxiv: Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory (joint paper with G. Panova), Annals of Probability, 43, no. 6, (2015) arxiv: General beta Jacobi corners process and the Gaussian Free Field (joint paper with A. Borodin), Communications on Pure and Applied Mathematics, 68, no. 10 (2015), arxiv: Observables of Macdonald processes (joint paper with A. Borodin, I. Corwin and S. Shakirov), Transactions of American Mathematical Society. 368 (2016), arxiv: From Alternating Sign Matrices to the Gaussian Unitary Ensemble, Communications in Mathematical Physics, 332, no. 1 (2014), , arxiv: Multilevel Dyson Brownian motions via Jack polynomials (joint paper with M. Shkolnikov), Probability Theory and Related Fields, 163, no. 3 (2015), arxiv: Representations of classical Lie groups and quantized free convolution (joint paper with A. Bufetov), Geometric and Functional Analysis (GAFA), 25, no. 3 (2015), , arxiv:

3 20. Stochastic six vertex model (joint paper with A. Borodin, I. Corwin), Duke Mathematical Journal, 165, no. 3 (2016), arxiv: Interacting particle systems at the edge of multilevel Dyson Brownian motions (joint paper with M. Shkolnikov), Advances in Mathematics, 304 (2017), , arxiv: Stochastic monotonicity in Young graph and Thoma theorem (joint paper with A. Bufetov), International Mathematics Research Notices 2015 (23): (2015). arxiv: Determinantal measures related to big q-jacobi polynomials (joint paper with G. Olshanski), Functional Analysis and Its Applications, 49, no. 3 (2015), A quantization of the harmonic analysis on the infinite-dimensional unitary group (joint paper with G. Olshanski), Journal of Functional Analysis, 270, (2016). arxiv: Gaussian asymptotics of discrete β ensembles (joint paper with A. Borodin and A. Guionnet), to appear in Publications mathématiques de l IHÉS. arxiv: Bulk universality for random lozenge tilings near straight boundaries and for tensor products, to appear in Communications in Mathematical Physics. arxiv: Moments match between the KPZ equation and the Airy point process (joint paper with A. Borodin), SIGMA 12 (2016), 102. arxiv: Mathematical preprints: 28. Stochastic Airy semigroup through tridiagonal matrices (joint paper with M. Shkolnikov). arxiv: Fluctuations of particle systems determined by Schur generating functions. (joint paper with A. Bufetov) arxiv: Universality of local statistics for noncolliding random walks (joint paper with L. Petrov). arxiv: Spherically Symmetric Random Permutations (joint paper with A. Gnedin). arxiv: Interlacing adjacent levels of β-jacobi corners processes (joint paper with L. Zhang). arxiv: Other publications: 33. Estimation of multivariate observation-error statistics for AMSU-A data (joint paper with M. Tsyrulnikov), Monthly Weather Review, 139 (2011) no. 12, What can be made out of cubes? (in Russian), Quantum, 2012, no. 3, Are atmospheric-model tendency errors perceivable from routine observations? (joint paper with M. Tsyrulnikov), COSMO Newsletter, no. 13: April 2013, 3 18, Teaching: Examiner for the courses Probability theory and Stochastic processes at Moscow State University. ( ) Teaching assistant for the course Geometry-1 at Independent University of Moscow. (2010) Instructor for courses 18.01, 18.02, (Calculus), (Theory of Probability), (Topics in Stochastic Processes: Integrable probability) at MIT ( ) Course administrator for course at MIT (Calculus, 500 students, Fall 2013) Organization: Member of organizing committee of various mathematical olympiads. In 2011 team leader of the organizing committee of Moscow Mathematical Olympiad for 8th grade. (Co-)Organizer of MIT probability seminar ( ) 3

4 (Co-)Organizer of MIT integrable probability working group ( ) (Co-)Organizer of Charles River Lectures on Probability and Related Topics ( ) (Co-)Organizer of KITP conference Non-equilibrium dynamics of stochastic and quantum integrable systems (2016) Organizer of the invited session Integrable probability of the conference SPA Member of Institute of Mathematical Statistics Committee on New Researchers Member of Scientific committee for the conference FPSAC-2017 Student supervision: Undergraduate Research Projects at MIT: Juan Ortiz Rhoton, Lingfu Zhang, Panagiotis Lolas, Yunkun Zhou Graduate students at MIT: Andrew Ahn Talks at conferences: Harmonic Analysis and Quantization (Tambov State University, Russia, September 2007): Non-intersecting paths and Hahn orthogonal polynomials ensemble. Random Tilings, Random Partitions and Stochastic Growth Processes (CRM, Montreal, Canada, September 2008): Around lozenge tilings of a hexagon. Russian-Japanese School of Young Mathematicians (Kyoto University, Japan, January 2009): Probability models connected with 3-dimensional Young diagrams. 5th Cornell Probability Summer School (Cornell University, USA, July 2009): Around lozenge tilings of a hexagon. Lomonosov conference (Moscow State University, Russia, April 2010): Random sorting Networks. Student Session at Clay Mathematical Institute 2010 Summer School: Probability and Statistical Physics in Two and more Dimensions. (Buzios, Brazil, July 2010): q Distributions on stepped surfaces. Mathematics XXI century. 70 years of PDMI. (PDMI, Saint-Petersburg, Russia, September 2010): q-central measures on Gelfand Tsetlin graph. Christmas meeting of Dynasty Foundation, Meetings with P. Deligne. (Independent University of Moscow, Russia, January 2011): Asymptotic of symmetric polynomials as the number of variables tends to infinity International mathematical conference 50 years of IPPI (Moscow, Russia, July 2011): Markov processes of infinitely many nonintersecting random walks. Christmas meeting of Dynasty Foundation, Meetings with P. Deligne. (Independent University of Moscow, Russia, January 2012): Block characters of the symmetric groups Mathematical Sciences Research Institute Academic Sponsor Day (MSRI, Berkeley, USA, March 2012): Random tilings, random surfaces and representation theory Interacting particle systems, growth models and random matrices, Warwick Symposium on Probability (Warwick, UK, March 2012): Infinitely many non-intersecting random walks St. Petersburg School in Probability and Statistical Physics (Saint Petersburg State University, Russia, June 2012): tutorials for the course Integrable models of random growth and branching graphs by Alexei Borodin Inhomogeneous Random Systems (Institut Henri Poincaré, Paris, France, January 2013): Integrable probability on interlacing particles. Random Tilings (Simons Center for Geometry and Physics, Stony Brook, USA, February 2013): From tilings to general-beta matrix ensembles: appearance of the Gaussian Free Field. 4

5 9th Cornell Probability Summer School (Cornell University, Ithaca, NY, USA, July 2013): Random matrix corners processes. Israel Gelfand Centenary (Russian Academy of Sciences, Moscow, Russia, July 2013): Random matrix beta-ensembles and the Gaussian Free Field. Andrejewski Day 2013 joint lectures with A. Okounkov on random partitions (Augsburg, Germany, December 2013): From random partitions to Gaussian Free Field Free probability and large N limit, IV (UC Berkeley, USA, March 2014): Quantized free convolution via representations of classical Lie groups. AMS Eastern Sectional meeting (Baltimore, March 2014): Gaussian Free Field in random matrices and 2d statistical mechanics Random Matrices and Jacobi Operators (Institut Mittag-Leffler, Sweden, May 2014): Random matrix corners processes: Dynamics and Asymptotics From Macdonald Processes to Hecke Algebras and Quantum Integrable Systems (Institut Henri Poincaré, Paris, France, May 2014): Random matrix asymptotics for the six-vertex model Stochastic Analysis: Around the KPZ Universality Class (Oberwolfach, Germany, June 2014): Random matrix asymptotics for the six-vertex model Contributed talk at International Congress of Mathematics, Probability section (Seoul, Korea, August 2014): Random matrix corners processes Limit Shapes (ICERM, Brown University, USA, April 2015): Central Limit Theorem for discrete log gases. Seymour Sherman Lecture and Conference Probability and Statistical Physics (Indiana University, USA, May 2015): Central Limit Theorem for discrete log gases. Random Polymers and Algebraic Combinatorics (Oxford, UK, May 2015): Multilevel Dyson Brownian Motion and its edge limits Free probability theory (Oberwolfach, Germany, June 2015): Between random matrices, irreducible representations and lozenge tilings. Random Interfaces and Integrable Probability (Florence, Italy, June 2015): Central Limit Theorem for discrete log gases Classical and Quantum Integrable Systems (Protvino, Russia, July 2015): Integrable probability: 2d stochastic systems. Invited talk at International Congress of Mathematical Physics, section Stochastic models and probability. (Santiago de Chile, July 2015): Universal Central Limit Theorem for discrete log gases Dynamics, Combinatorics, Representations (Saint-Petersburg, Russia, September 2015): Central Limit Theorem for discrete log gases 14th Stochastic Analysis on Large Scale Interacting Systems (RIMS, Kyoto, Japan, October 2015): Largest eigenvalues in random matrix beta-ensembles: identification of the limit Probability and asymptotic analysis in strongly coupled systems (University of Bonn, Germany, January 2016): Largest eigenvalues in random matrix β-ensembles: structures of the limit Six-vertex model, dimers, shapes, and all that (SCGP, Stony Brook, USA, March 2016): Lozenge tilings: universal bulk limits, global fluctuations and all that Conference on New Developments in Probability (Northwestern University, USA, May 2016): Lozenge tilings: universal bulk limits, global fluctuations Quantum Integrable Systems, Conformal Field Theories and Stochastic Processes (Institut d Études Scientifiques de Cargèse, Corsica, France): Universal local limits for lozenge tilings and noncolliding random walks A lecture course on the program Combinatorics and Interactions (IHP, Paris, France, February 2017): Integrable probability Statistical mechanics In Diablerets 2017 (Les Diablerets, Switzerland, 2017): Height fluctuations through Schur generating functions 5

6 I have also presented talks at various research seminars in Russia, in USA and in Europe, including (in chronological order): Probability theory and Ergodic theory (Moscow State University, Russia, many times in ), Seminar of Dobrushin Mathematics Laboratory (Institute for Information Transmission Problems of RAS, Moscow, Russia, 2008, 2009, 2011, 2013 ), Saint-Petersburg seminar on representation theory and dynamical systems (St.Petersburg Department of Steklov Institute of Mathematics of RAS, Russia, 2009, 2011), Riemann surfaces, Lie algebras and mathematical physics (Independent University of Moscow, Russia, 2009), Principle Seminar of the Department of Probability Theory (Moscow State University, Russia, 2010), Columbia Probability Seminar (Columbia University, USA, 2010), Infinite-Dimensional Algebra Seminar (Massachusetts Institute of Technology, USA, 2010), Ergodic Theory and Statistical Mechanics Seminar (Princeton University, USA, 2010), Representation Theory, Geometry and Combinatorics (University of California, Berkeley, USA, 2010), Random Matrix Seminar (Mathematical Sciences Research Institute at Berkeley, USA, 2010), Research seminar of the chair of data analysis (Moscow Institute of Physics and Technology, Russia, 2010), Representations and Probability (Independent University of Moscow, Russia, 2010, 2011, 2013), Meeting of Moscow Mathematical Society (Moscow State University, Russia, 2011), Stochastic Colloquim (Utrecht University, Netherlands, 2011), Séminaire de Mathématique (IHES, France, 2011) Processus Stochastiques, Matrices Aléatoires (University Paris VI, France, 2011) Utrecht Mathematics Colloquium (Utrecht University, Netherlands, 2011) Lie Groups and Invariant Theory (Moscow State University, Russia, 2011) Probability seminar of Chebyshev Laboratory (Saint-Petersburg State University, Russia, 2011) Stochastics (St.Petersburg Department of Steklov Institute of Mathematics of RAS, Russia, 2011) Mathematical Physics & Probability (University of California, Davis, USA, 2012) Postdoc seminar of Random Spatial Processes program (MSRI, Berkeley, USA, 2012) Probability Seminar (Arizona State University, USA, 2012) Probability Seminar (University of California, Berkeley, USA, 2012, 2013) Lie groups seminar (MIT, USA, 2012) Groupe de travail, Laboratoire de Physique Théorique et Hautes Energies (Paris VI, France, 2013) Probability Seminar (MIT, USA, 2013) Probability Seminar (University of Chicago, USA, 2013) Macdonald processes working group (MIT, USA, 2013) Probability seminar (Harvard University, USA, 2013) Geometry, Algebra, Singularities, Combinatorics (Northeastern University, USA, 2013) Combinatorics seminar (MIT, USA, 2013) Probabilistic operator algebras (University of California, Berkeley, USA, 2013) 6

7 Colloquim at MCCME-Independent University of Moscow general seminar Globus (IUM, Russia, 2014) Everytopic seminar (Brandeis University, USA, 2014) Analysis/Probability seminar (University of Michigan, USA, 2014) Combinatorics seminar (University of Michigan, USA, 2014) Sinai s seminar (IITP, Russia, 2014) Probability seminar (University of Wisconsin: Madison, USA, 2014) Discrete Math Seminar (Brown University, USA, 2014) Columbia Courant joint probability seminar (Columbia University, USA, 2015) Probability seminar (University of Virginia, USA, 2015) Mathematics colloquium (University of Virginia, USA, 2015) Mathematics colloquium Oliver club (Cornell university, USA, 2015) Random Matrix and Probability Theory Seminar (Harvard University, USA, 2015) Meeting of Moscow Mathematical Society (Moscow State University, Russia, 2015) Infinite-dimensional algebra seminar (MIT, USA, 2016) Probability seminar (University of Toronto, Canada, 2016) Probability seminar (Princeton University, USA, 2016) Probability seminar (MIT, USA, 2016) Geometry, Symmetry and Physics (Yale University, USA, 2016) Seminaire Philippe Flajolet (IHP, France, 2017) Probability seminar (UMPA, ENS Lyon, France, 2017) Modified: February