Biographie
Je suis maîtresse de conférences à l’Université de Strasbourg, au sein de l’Institut de Recherche Mathématique Avancée . Avant cela, j’ai été post-doctorante à l’Université d’Edimbourg et à l’Université de Vienne. J’ai effectué ma thèse à l’Université Paris Diderot, sous la direction de David Hernandez.
Intérêts
- Théorie des représentations
- Groupes Quantiques, Algèbres Affines Quantiques, Algèbres de Hecke (Doublement) Affines, etc
- Combinatoire, Algèbres Amassées (Quantiques), etc
Éducation
-
Doctorat de Mathématiques, 2019
Université Paris Diderot
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Master de Mathématiques, 2015
Université Paris Diderot
Publications
(2023).
Infinite friezes of affine type $D$.
in preparation (draft available on request).
(2023).
On a determinant formula for some real regular representations.
arXiv preprint.
(2022).
On the simplicity of the tensor product of two simple modules of quantum affine algebras.
arXiv preprint.
(2021).
Type $A$ DAHA and Doubly Periodic Tableaux.
Adv. Math.
(2020).
A quantum cluster algebra approach to representations of simply-laced quantum affine algebras.
Math Z.
(2020).
Quantum Grothendieck rings as quantum cluster algebras.
JLMS.
(2018).
Asymptotics of standard modules of quantum affine algebras.
Algebr Represent Theor.
Autres textes
(2019).
Quantum Grothendieck rings, cluster algebras and quantum affine category $O$.
PhD Thesis.
(2015).
Representations of the Yangian in Deligne's category $Rep(Gl_{t})$.
Mémoire de master.
Exposés récents ou à venir
Conferences
Liste des conférences où vous avez pu me croiser
- Algebraic Combinatorics in Representation Theory, CIRM, Luminy, August 2016
- Geometry and Representation Theory, ESI, Vienna, January 2017
- Symposium L’enseignement des mathématiques, où en sont les différences filles-garçons ?, IHP, Paris, September 2017
- Forum des jeunes mathématiciennes, Nancy, November 2017
- Cluster Algebras, Twenty Years On, CIRM, Luminy, March 2018
- Interactions of quantum affine algebras with cluster algebras, current algebras and categorification, Washington DC, June 2018
- World Meeting for Women in Mathematics (WM)², Rio de Janeiro, July 2018
- International Congress of Mathematicians (ICM2018), Rio de Janeiro, August 2018
- Representations in Lie Theory and Interactions, CIRM, Luminy, November 2018
- XXV Brazilian Algebra School, Campinas, December 2018
- Cluster Algebras 2019 (CA 2019), Kyoto, June 2019
- Categorifications, Moduli Spaces and Representation Theory, CIRM, Luminy, January 2020
- Workshop Algebraic and geometric Lie theory “Colloque tournant”, IHP, Paris, February 2020
- ARTIN 2020: Tensor Categories, Quantum Groups and Related Topics, University of Nottingham, June 2020
- Quantum Algebra Days, IMAG, Montpellier, November 2020
- Quantum Groups and Cohomology Theory of Quiver and Flag Varieties, CIRM, BBB, December 2020
- New developments in representation theory arising from cluster algebras research school, INI, Cambridge, September 2021
- New developments in representation theory arising from cluster algebras, INI, Cambridge, September 2021
- Enveloping Algebras and Geometric Representation Theory, Oberwolfach, November 2021
- WINART3 workshop, Banff, April 2022
- Bridges between representation theory and algebraic geometry: Singularities, friezes and cluster categories, Leeds, May 2022
- Summer School: Representation theory and flag or quiver varieties, Paris, June 2022
- Geometric Reresentation Theory workshop, Kavli IPMU, Zoom, June-July 2022
- World Meeting for Women in Mathematics, Youtube, July 2022
- Bases for cluster algebras, Oaxaca, September 2022
- The Geometry of Double Affine Hecke Algebras and Coulomb Branches, Edinburgh, March 2023
- Hecke Algebras and applications, Spetses, July 2023
Enseignement
Tutor
Honours Analysis Worshops
Tutor
Honours Algebra - Skills Labs
Tutor
Introduction to Linear Algebra Workshops
Monitrice
Travaux Dirigés Algèbre et Analyse avancées
Monitrice
Travaux Dirigés Algèbre et Analyse élementaires
Colleuse
Colles en première années de CPGE
Autres activités
Organisatrice du Algebra Seminar
Organisatrice du Hodge Seminar
Représentante des postdocs auprès du Equality, Diversity and Inclusion committee
Organisatrice des Rencontres Master-Doctorants
Rencontres biannuelles entre etudiants de master et doctorants
Membre du Comité Parité
Contact
- lea.bittmann@math.unistra.fr
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IRMA, Université de Strasbourg, 7 rue René Descartes
67000 Strasbourg - Bureau 218