# 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.

### 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 devoted to semi-classical, dispersionless, and hydrodynamic limits of the * Calogero-Moser-Sutherland * integrable quantum many-body problems with emphasis on:

- Born's Rule in quantization: randomness from non-random matrices
- developing quantum inverse scattering method in hydrodynamic variables
- Benjamin-Ono waves as chiral phonons for approximately uniform density
- braid group symmetry of quantization of radiation-soliton resolution of phonons
- quasi-holes + quasi-particles as quantizations of radiation + solitons
- Fock spaces are defined by periodic fractional Brownian motion of Hurst index 0
- Bohr's Correspondence Principle as large deviations principle
- Young diagrams are spectral shift functions of generalied Toeplitz operators
- determinantal point processes and free fermions as dispersionless limits beta=2
- structural connection to bulk/boundary correspondence and FQHE
- structural connection to beta ensembles (which are conditioned Gaussian fields)
- structrual connection to asymptotic representation theory as orbital theory
- structural connection to Seiberg-Witten theory and refined topological recursion

### Papers

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

- Random Partitions and the Quantum Benjamin-Ono Hierarchy - submitted.
- Young Diagrams from Bohr-Sommerfeld Quantization Conditions - in preparation.
- Conformal Field Theory and the Infinite Symmetric Group - in preparation.
- Yangians and the 1D Log Gas - in preparation.

### 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 |