Esha Gupta

Doctorante

Equipe : Algèbre et Géométrie

Directeur de thèse : Pierre-Guy Plamondon

Contact :

bâtiment Fermat, bureau 3302

01 39 25 46 39

 

 

 

I am a second-year PhD student working under the supervision of Pierre-Guy Plamondon. As part of my thesis project, I am studying the categorification of the cluster algebra structure on the amplituhedron.

Publications and preprints
Preprints
  1. E. Gupta, A restricted model for the bounded derived category of gentle algebras, arXiv:2407.13627 [math.RT].
  2. E. Gupta, d-term silting objects, torsion classes, and cotorsion classes, arXiv:2407.10562 [math.RT].
Publications
  1. S. Agrawal, A. Kuber, E. Gupta, Euclidean algorithm for a class of linear orders, Discrete Mathematics, Volume 346, Issue 12, (2023).
  2. E. Gupta, A. Kuber, S. Sardar, On the Stable Radical of Some Non-Domestic String Algebras. Algebr Represent Theor 25, 1207–1230 (2022).
Talks and posters
  1. Silting objects, torsion classes, and cotorsion classes, Algebra Seminar, Beijing Normal University, 2025.
  2. String algebras and their representations, PhD Seminar, IMJ-PRG (Paris), 2025.
  3. Silting objects, torsion classes, and cotorsion classes, Flash talks in representation theory, 2025.
  4. d-term silting objects, torsion classes, and cotorsion classes, International Conference on Representations of Algebras (ICRA 21), 2024.
  5. Silting objects, torsion classes, and cotorsion classes, Simple-mindedness, silting, and stability, University of Cumbria, UK, 2024.
  6. Poster: A restricted model for the bounded derived category of gentle algebras, Current trends in representation theory, cluster algebras and geometry, CIRM, 2023.
  7. Poster: Silting theory and s-torsion pairs, Advances in Representation Theory of Algebras (ARTA), Queen’s University, Kingston, Canada, 2023.
  8. Lecture on τ-tilting theory as part of the mini-course ‘Mutations in Representation Theory’ by Prof. Lidia Angelerie Hügel, ISM Discovery School on Mutations, Montreal, 2022.
  9. Stable ranks of non-domestic string algebras, XXXIInd meeting on representation theory of algebras, Université de Sherbrooke, 2021.
Theses
  1. Silting theory and s-torsion pairs, M2, Université Paris Cité/Université de Versailles Saint-Quentin-en-Yvelines (2023).

  2. Auslander-Reiten theory and string modules under the locally finite-dimensional setting, M.Sc., Université de Sherbrooke (2023).

Other activities
  1. I am currently co-organizing the PhD seminar at LMV with Maria Abad-Aldonza, which takes place every alternate Monday in the seminar room of the lab. If you wish to give a talk at the seminar, do not hesitate to reach out to either of us.
  2. Co-organizer, CHARMS summer school, Versailles.
  3. In 2023, I was a co-organizer of the welcome meeting organized by the Graduate School of Mathematics for international students at Versailles.