# Thomas Gerber

thomas.gerber@epfl.ch +41 21 693 54 73

**EPFL SB MATH GR-TES **

MA C3 614 (Bâtiment MA)

Station 8

CH-1015 Lausanne

Web site: Web site: https://gr-tes.epfl.ch/

+41 21 693 54 73

EPFL
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### Fields of expertise

Algebraic combinatorics

### Biography

Before this, I was a research and teaching assistant in the group of Gerhard Hiss at the Lehrstuhl D für Mathematik in Aachen.

I completed my PhD in Tours under the supervision of Cédric Lecouvey and Nicolas Jacon.

Find more information about me in my CV.

## Publications

### Selected publications

Thomas Gerber, Cédric LecouveyTo appear in Annales de l'Institut Henri Poincaré D (Combinatorics, Physics and their Interactions) |
Duality and bicrystals on infinite binary matrices |

Maciej Dołęga, Thomas Gerber, Jacinta TorresJournal of Algebra 560 (2020), Pages 1253-1296 |
A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I: Rows |

Thomas Gerber, Nicolas Jacon, Emily NortonPacific Journal of Mathematics 306 (2020), No. 2, 487–517 |
Generalized Mullineux involution and perverse equivalences |

Thomas Gerber2018. arXiv:1809.09519 |
Cylindric multipartitions and level-rank duality |

Thomas GerberJournal of Algebraic Combinatorics 49 (2019), 99-124 |
Heisenberg algebra, wedges and crystals |

Thomas Gerber, Emily NortonJournal of Combinatorial Algebra 2 (2018), 103-145 |
The sl∞-crystal combinatorics of higher level Fock spaces |

Thomas GerberAdvances in Mathematics 329 (2018), 916-954 |
Triple crystal action in Fock spaces |

Thomas Gerber, Gerhard HissCommunications in Algebra 45 (2016), 561-574 |
Branching graphs for finite unitary groups in non-defining characteristic |

Thomas Gerber, Gerhard Hiss, Nicolas JaconInternational Mathematics Research Notices 22 (2015), 12206-12250 |
Harish-Chandra series in finite unitary groups and crystal graphs |

Thomas GerberAlgebras and Representation Theory 18 (2015), 1009-1046 |
Crystal isomorphisms in Fock spaces and Schensted correspondence in affine type A |

Thomas GerberJournal of Algebra 413 (2014), 364-401 |
Generalised canonical basic sets for Ariki-Koike algebras |

### Research

#### Topics

I also investigate some questions from Lie theory, including representation theory of quantum groups, seen as deformations of Kac-Moody Lie algebras. In particular, the study of crystals and canonical bases provide a combinatorial setting linking all these problems.

#### Research articles

#### PhD thesis

*Decomposition matrices for Ariki-Koike algebras and crystal isomorphisms in Fock spaces*in July 2014. You can find it online here.

#### Programming

For any particular request, do not hesitate to write me.

#### Related mathematicians

#### Miscellaneous links

### Teaching & PhD

#### Teaching

Mathematics