Cavalieri
Defended! With A. Borodin and P. Etingof

Alexander Moll

Hello! I am a postdoc at the Institut des Hautes Études Scientifiques (2016-2017) and at the Hausdorff Center for Mathematics (2017-2018). I am also a participant in the trimester on Combinatorics and Interactions at the Institut Henri Poincaré.


My email address is moll-at-ihes-dot-fr.


Talks

Institute Event Date Location
[U.Salento] Phys. Math. Nonlinear Phenomena Jun 24 2015 Gallipoli, Italy
[Columbia] Probability Seminar Nov 13 2015 New York, NY
[HCM] Asymptotics ... Coupled Systems Jan 15 2016 Bonn, Germany
[NYU] Courant Probability Seminar Jan 29 2016 New York, NY
[Yale] Geometry, Symmetry, and Physics Feb 4 2016 New Haven, CT
[BIRS] Workshop on Beta Ensembles Apr 13 2016 Banff, Canada
[KTH] Analysis Seminar Oct 19 2016 Stockholm, Sweden
[IHP] Random Matrix Seminar Nov 4 2016 Paris, France
[UZ/ETH] Joint Probability Seminar Nov 9 2016 Zürich, Switzerland
[IMT] Probability Seminar Nov 15 2016 Toulouse, France
[UPD7] Combinatorics Seminar Nov 23 2016 Paris, France
[CIRM] Winter School Jan 8 2017 Marseille, France


Education

I earned my B.A. from the Department of Mathematics at Columbia University under the supervision of Mikhail Khovanov for my thesis ``Vershik-Kerov Asymptotics for HOMFLY Invariants of Knots and Links''.


I earned my Ph.D. from the Department of Mathematics at the Massachusetts Institute of Technology under the supervision of Alexei Borodin for my thesis ``Random Partitions and the Quantum Benjamin-Ono Hierarchy''.


Research

My research is in integrable probability from the point of view of quantum chaos.


I am currently working on beta ensembles through their appearance in Calogero-Moser-Sutherland quantum many-body problems, with emphasis on:


  1. developing the quantum inverse scattering method in hydrodynamic limit
  2. quantum-classical correspondence principle as large deviations principle
  3. combinatorics of Young diagrams via spectral theory of Toeplitz operators
  4. determinantal point processes as dispersionless limit beta=2
  5. beta ensembles as conditioned Gaussian free fields
  6. vertex operators, conformal invariance, and bulk-boundary correspondence
  7. asymptotic representation theory as orbital theory
  8. structural connections to Seiberg-Witten theory and refined topological recursion



Papers

Here is a list of my works (with links to arXiv when available):