About

Since September 2021, I am a research associate at the University of Edinburgh. Before that, I was working at the University of Vienna.

I completed my PhD at the Université Paris Diderot, under the supervision of David Hernandez, in 2019.

Interests

  • Representation Theory
  • Quantum Groups, Quantum Affine Algebras, (Double) Affine Hecke Algebras, etc
  • Combinatorics, (Quantum) Cluster Algebras, Macdonald Polynomials, etc

Education

  • PhD in Mathematics, 2019

    Université Paris Diderot

  • MSc in Mathematics, 2015

    Université Paris Diderot

Publications

Karin Baur, Léa Bittmann, Emily Gunawan, Gordana Todorov, Emine Yıldırım (2023). Infinite friezes of affine type $D$. in preparation (draft available on request).

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Léa Bittmann (2023). On a determinant formula for some real regular representations . arXiv preprint.

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Léa Bittmann, Jian-Rong Li (2022). On the simplicity of the tensor product of two simple modules of quantum affine algebras. arXiv preprint.

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Léa Bittmann, Alex Chandler, Anton Mellit, Chiara Novarini (2021). Type $A$ DAHA and Doubly Periodic Tableaux. Adv. Math..

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Léa Bittmann (2020). A quantum cluster algebra approach to representations of simply-laced quantum affine algebras. Math Z.

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Léa Bittmann (2020). Quantum Grothendieck rings as quantum cluster algebras. JLMS.

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Léa Bittmann (2018). Asymptotics of standard modules of quantum affine algebras. Algebr Represent Theor.

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Other texts

Léa Bittmann (2019). Quantum Grothendieck rings, cluster algebras and quantum affine category $O$. PhD Thesis.

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Léa Bittmann (2015). Representations of the Yangian in Deligne's category $Rep(Gl_{t})$. Master’s Thesis.

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Recent & Upcoming Talks

TBA
Jul 16, 2023 Spetses
TBA
Apr 27, 2023 IMAG - Montpellier
TBA
Feb 28, 2023 IRMA - Strasbourg
Des applications arithmétiques de la dualité de Schur-Weyl affine quantique
Feb 21, 2023 Laboratoire de Mathématiques de Versailles
Simplicity of tensor product of quantum affine algebras representations
Oct 25, 2022 Universität Wien
Simplicity of tensor product of quantum affine algebras representations
May 26, 2022 Leeds
Dualité de Schur-Weyl entre groupes quantiques et DAHA
Apr 28, 2022 IRMAR - Rennes
A Schur-Weyl duality between Double Affine Hecke Algebras and quantum groups
Apr 25, 2022 IHP - Paris
A Schur-Weyl duality between Double Affine Hecke Algebras and quantum groups
Nov 3, 2021 MFO
A Schur-Weyl duality between Double Affine Hecke Algebras and quantum groups
Sep 29, 2021 ICMS - University of Edinburgh
Catégorification monoïdale d'algèbre amassée et dualité de Schur-Weyl affine quantique
Mar 16, 2021 LMNO - BBB
Catégorification monoïdale d'algèbre amassée et dualité de Schur-Weyl affine quantique
Feb 12, 2021 LMBP - BBB
Monoidal categorification of cluster algebra and quantum affine Schur-Weyl duality
Dec 15, 2020 CIRM - BBB
Quantum Grothendieck rings, towards simply laced types
Dec 1, 2020 UCR - Zoom
Représentations des algèbres affines quantiques du point de vue des algèbres amassées quantiques
Nov 11, 2020 UQAM - Zoom
Anneaux de Grothendieck quantiques, vers les types non simplement lacés
Nov 3, 2020 IMAG - Zoom
Representations of quantum affine algebras, l-fundamental and standard modules
Jul 9, 2020 IMJ-PR - Zoom
t-deformations of Grothendieck rings as quantum cluster algebras
Jun 30, 2020 University of Nottingham - Miscrosoft Teams
Représentations des algèbres affines quantiques du point de vue des algèbres amassées quantiques
Feb 3, 2020 IHP
R-matrices and quantum groups
Nov 19, 2019 Universität Wien
Quantum Grothendieck rings as quantum cluster algebras
Jun 7, 2019 RIMS
Representations of quantum affine algebras via cluster algebras
Mar 12, 2019 Universität Wien
Baxter relation, cluster algebras and quantum cluster algebras
Feb 14, 2019 University of California, Riverside
Anneaux de Grothendieck quantiques et algèbres amassées quantiques
Jan 18, 2019 Université Paris Diderot
t-deformations of Grothendieck rings as quantum cluster algebras
Dec 4, 2018 XXV Brazilian Algebra Meeting, UNICAMP
t-deformations of Grothendieck rings as quantum cluster algebras
Nov 27, 2018 Universität zu Köln
Asymptotics of Standard Modules of Quantum Affine Algebras
Nov 26, 2018 RWTH Aachen University
Quantum Grothendieck rings for quantum affine algebras
Nov 15, 2018 ETH Zürich
t-deformations of Grothendieck rings as quantum cluster algebras
Jun 7, 2018 The Catholic University of America
Asymptotics of standard modules of quantum affine algebras
May 24, 2018 University of California, Riverside
Quantum Grothendieck Rings and Baxter relations
Jan 18, 2017 Erwin Schrödinger Institute

Conferences

Jan 16, 2020

List of conferences I attended

  1. Algebraic Combinatorics in Representation Theory, CIRM, Luminy, August 2016
  2. Geometry and Representation Theory, ESI, Vienna, January 2017
  3. Symposium L’enseignement des mathématiques, où en sont les différences filles-garçons ?, IHP, Paris, September 2017
  4. Forum des jeunes mathématiciennes, Nancy, November 2017
  5. Cluster Algebras, Twenty Years On, CIRM, Luminy, March 2018
  6. Interactions of quantum affine algebras with cluster algebras, current algebras and categorification, Washington DC, June 2018
  7. World Meeting for Women in Mathematics (WM)², Rio de Janeiro, July 2018
  8. International Congress of Mathematicians (ICM2018), Rio de Janeiro, August 2018
  9. Representations in Lie Theory and Interactions, CIRM, Luminy, November 2018
  10. XXV Brazilian Algebra School, Campinas, December 2018
  11. Cluster Algebras 2019 (CA 2019), Kyoto, June 2019
  12. Categorifications, Moduli Spaces and Representation Theory, CIRM, Luminy, January 2020
  13. Workshop Algebraic and geometric Lie theory “Colloque tournant”, IHP, Paris, February 2020
  14. ARTIN 2020: Tensor Categories, Quantum Groups and Related Topics, University of Nottingham, June 2020
  15. Quantum Algebra Days, IMAG, Montpellier, November 2020
  16. Quantum Groups and Cohomology Theory of Quiver and Flag Varieties, CIRM, BBB, December 2020
  17. New developments in representation theory arising from cluster algebras research school, INI, Cambridge, September 2021
  18. New developments in representation theory arising from cluster algebras, INI, Cambridge, September 2021
  19. Enveloping Algebras and Geometric Representation Theory, Oberwolfach, November 2021
  20. WINART3 workshop, Banff, April 2022
  21. Summer School: Representation theory and flag or quiver varieties, Paris, June 2022
  22. Geometric Reresentation Theory workshop, Kavli IPMU, Zoom, June-July 2022
  23. World Meeting for Women in Mathematics, Youtube, July 2022
  24. Bases for cluster algebras, Oaxaca, September 2022

Teaching

Tutor

University of Edinburgh 2022 – 2022
Honours Analysis Worshops

Tutor

University of Edinburgh 2022 – 2022
Honours Algebra - Skills Labs

Tutor

University of Edinburgh 2021 – 2021
Introduction to Linear Algebra Workshops

Teaching Assistant

Université Paris Diderot 2016 – 2018
Advanced Algebra and Analysis Travaux Dirigés

Teaching Assistant

Université Paris Diderot 2016 – 2017
Basic Algebra and Analysis Travaux Dirigés

Oral examiner

Lycée Saint Louis 2013 – 2015
Weekly oral exams (colles) for 1st year students preparing for engineer school.

Other activities

Organizer of the Algebra Seminar

University of Edinburgh 2022 – 2023

Organizer of the Hodge Seminar

University of Edinburgh 2021 – 2022

Postdoc representative, Equality, Diversity and Inclusion committee

University of Edinburgh 2021 – 2023

Organizer of the Rencontres Master-Doctorants

Université Paris Diderot 2017 – 2019
Biannual meetings between graduate students and PhD students.

Member of the Comité Parité

Université Paris Diderot 2017 – 2019

Contact