Preprints

• The exceptional set in Cassels’s theorem on small cyclotomic integers

  With Jitandra Bajpai, Srijan Das, Kiran S. Kedlaya, Nam H. Le, Meghan Lee, Jorge Mello. Posted on 2024, October 23.

  arxiv github

Published

• Algorithms for computing norms and characteristic polynomials on general Drinfeld modules

  With Xavier Caruso. Mathematics of Computation. Published in 2025.

  doi arxiv hal

• Computing a Group Action from the Class Field Theory of Imaginary Hyperelliptic Function Fields

  With Pierre-Jean Spaenlehauer. Journal of Symbolic Computation. Published in 2024.

  doi arxiv hal iacr

• Drinfeld modules in SageMath

  With David Ayotte, Xavier Caruso, Joseph Musleh. ACM Communications in Computer Algebra. Published in 2023.

  doi arxiv hal

PhD Thesis

Morphisms of Drinfeld Modules and their Algorithms. (link)

Under Pierre-Jean Spaenlehauer and Emmanuel Thomé. At INRIA team Caramba, Loria, Université de Lorraine, Nancy, France. Thesis defended on September 16th, 2024. Jury consisting of Xavier Goaoc (president), Alain Couvreur (examiner), Éric Schost (examiner), Cécile Armana, Elena Berardini, as well as Pierre-Jean Spaenlehauer and Emmanuel Thomé.

SageMath

SageMath developer. Started the official SageMath implementation of Drinfeld modules (first issue). First version merged with version 10.0, with the help of David Ayotte, Xavier Caruso and Joseph Musleh (account 1, account 2)—see the ISSAC Software presentation of the first version. The project is very active.

Pull requests

1. Fix Drinfeld module frobenius_endomorphism doc

   PR 40575. Opened by kryzar on 2025, August 11. Merged 2025, August 16. +5-5 lines.

2. Fix DrinfeldModule is_isomorphic method absolutely' flag

   PR 38303. Opened by kryzar on 2024, June 28. Merged 2024, July 24. +14-2 lines.

3. Delete _check_rank_two method for Drinfeld modules

   PR 38199. Opened by kryzar on 2024, June 11. Merged 2024, July 24. +0-21 lines.

4. New algorithms to compute the characteristic polynomial of the Frobenius endomorphism of a Drinfeld module

   PR 38174. Opened by kryzar on 2024, June 8. Merged 2024, September 22. +415-68 lines.

5. Enhance documentation of Drinfeld module Potemine j-invariants

   PR 37630. Opened by kryzar on 2024, March 19. Merged 2024, March 31. +25-6 lines.

6. Make rank return an Integer object

   PR 35519. Opened by kryzar on 2023, April 15. Merged 2023, May 22. +34-4 lines.

7. Drinfeld modules

   PR 35026. Opened by kryzar on 2023, February 8. Merged 2023, March 13. +3538-0 lines.

Code reviews

1. Add a method for changing field of definition of Drinfeld modules

   PR 40706. Opened by xcaruso on 2025, August 27. Merged 2025, October 6. +63-37 lines.

2. Fix bug in SkewPolynomialRing when twisting morphism is trivial

   PR 40697. Opened by xcaruso on 2025, August 26. Merged 2025, September 21. +114-44 lines.

3. Ore modules with poles

   PR 40674. Opened by xcaruso on 2025, August 24. Merged 2025, October 6. +393-32 lines.

4. Fix documentation for Drinfeld modules

   PR 40599. Opened by xcaruso on 2025, August 16. Merged 2025, August 27. +293-294 lines.

5. Hom spaces between Drinfeld modules

   PR 40440. Opened by xcaruso on 2025, July 18. Merged 2025, August 27. +853-221 lines.

6. Remove useless limitations in Drinfeld modules

   PR 40436. Opened by xcaruso on 2025, July 17. Merged 2025, August 27. +220-221 lines.

7. gcd and lcm of isogenies of Drinfeld modules

   PR 40434. Opened by xcaruso on 2025, July 17. Merged 2025, August 27. +313-221 lines.

8. Constructor for the Carlitz module

   PR 40433. Opened by xcaruso on 2025, July 17. Merged 2025, August 27. +423-223 lines.

9. Implement relative Frobenius for Drinfeld modules

   PR 40432. Opened by xcaruso on 2025, July 17. Merged 2025, August 27. +284-221 lines.

10. Use the variable name τ instead of t for Drinfeld modules

    PR 40430. Opened by xcaruso on 2025, July 17. Merged 2025, August 27. +220-221 lines.

11. Limit the use of RingExtensions in Drinfeld modules

    PR 40421. Opened by xcaruso on 2025, July 16. Merged 2025, July 25. +45-63 lines.

12. Method A-field for Drinfeld modules

    PR 40420. Opened by xcaruso on 2025, July 16. Merged 2025, July 25. +53-2 lines.

13. Class polynomial for Drinfeld modules

    PR 39215. Opened by xcaruso on 2024, December 28. Merged 2025, February 21. +283-4 lines.

14. Add keyword prec for exponential and logarithm of Drinfeld modules

    PR 39214. Opened by xcaruso on 2024, December 28. Merged 2025, February 21. +47-18 lines.

15. Add support for pseudomorphisms

    PR 38650. Opened by xcaruso on 2024, September 12. Merged 2025, February 21. +1027-10 lines.

16. Extend Drinfeld modules to support fields constructed as univariate quotients

    PR 37923. Opened by ymusleh on 2024, May 2. Not merged yet. +96-13 lines.

17. Implement Drinfeld modular forms

    PR 36538. Opened by DavidAyotte on 2023, October 25. Merged 2024, June 1. +1481-2 lines.

18. Implement Goss polynomials of Drinfeld modules

    PR 35991. Opened by DavidAyotte on 2023, July 26. Merged 2023, August 27. +99-0 lines.

19. Improve morphisms between Drinfeld modules

    PR 35527. Opened by xcaruso on 2023, April 16. Merged 2023, July 20. +1059-108 lines.

20. Add method for computing isogenies between Drinfeld modules

    PR 35386. Opened by ymusleh on 2023, March 30. Merged 2025, August 27. +369-0 lines.

21. add missing colon in `finite_drinfeld_module.py`

    PR 35287. Opened by DavidAyotte on 2023, March 14. Merged 2023, April 1. +1-1 lines.

22. Implement characteristic polynomial computation for Drinfeld modules of any Rank

    PR 35269. Opened by ymusleh on 2023, March 13. Merged 2023, November 5. +349-90 lines.

23. Implement the logarithm and the exponential of a Drinfeld module

    PR 35260. Opened by DavidAyotte on 2023, March 10. Merged 2023, May 22. +247-0 lines.

24. Implement basic j-invariants of Drinfeld modules

    PR 35057. Opened by DavidAyotte on 2023, February 10. Merged 2023, July 30. +513-25 lines.

dEAduction

Worked on the first version and designed & developed the graphical interface of dEAduction, a Free and Open Source Software for mathematics undergrad students. We augmented the LEAN proof assistant with a dynamical and graphical interface to help students writing basic proofs. The software is now used in various French universities. It was created by Frédéric Le Roux.

Ktorphée

Created and co-run Ktorphée, a mathematics seminar which takes place at night in the catacombs of Paris. Presentations are purely oral, and sessions include exploration of the catacombs. This setting favours transmitting core ideas in a context (without neglecting formal technique) of direct and respectful discussion. List of speakers on the website.

Knowledge should be free

Created knowledgeshouldbefree.org, a website hosting high quality lecture notes. It was motivated as a tribute to my former teacher Alain Kraus, who gracefully accepted to open his archives for this project. The project is faithful to University spirit: free, open and rigorous.

Organization

• Alberta Number Theory Days 2026

  With Emily Quesada-Herrera, Dang-Khoa Nguyen. Annual workshop held at Birs, gathering the Alberta Number Theory groups together. In 2026.

• Satellite events to the 2026 Louise and Richard Guy Lecture by Joseph H. Silverman

  Organization of satellite events (two talks and a diner) to the visit of Joseph H. Silverman (Brown University), who gave the 20th annual Louise and Richard Guy Lecture at UCalgary. In 2025.

Co-supervision of UCalgary PhD student Do Eon Cha (also known as Andrew Cha), on algorithmics of Drinfeld modules. With Renate Scheidler.

UCalgary

Teaching in the UCalgary mathematics department as part of my post-doctoral fellowship.

• Linear Methods I (math 211)

  Coordinated by Carlo Maria Scandolo. Taught in 2025. Level: 1st year.

  Introduction to linear algebra.

Mines de Nancy

The Mines de Nancy (National Higher School of Mines of Nancy) is an engineering school. Taught in their computer science department during the three years of my PhD thesis.

• Algorithmes et complexité

  Coordinated by Xavier Goaoc. Taught in 2022. Level: L3 (third year).

  Introduction to algorithms and complexity, from a formal point of view.

• Database essentials

  Coordinated by Yannick Toussaint. Taught in 2022. Level: M1 (fourth year).

  Introduction to databases.

• Operations Research

  Coordinated by Pierre-Étienne Moreau. Taught in 2021, 2022, 2023. Level: L3 (third year).

  Python course, emphasis on efficient manipulation of data structures.

• Programmation et structure de données

  Coordinated by Bernardetta Addis. Taught in 2022, 2023. Level: L3 (third year).

  Various topics on linear programming and graph optimization.

Cursus

• PhD, Computer science

  Université de Lorraine, 2021-2024.

• MsC 2nd year (M2), Mathematics (applied algebra)

  Université Paris Saclay, 2020-2021.

• MsC 1st year (M1), Mathematics

  Sorbonne Université, 2019-2020.

• BsC (licence), Mathematics

  Sorbonne Université, 2018-2019.

• BsC (licence), Mechanics

  Sorbonne Université, 2015-2018.

• BsC (licence), Musicology

  Sorbonne Université, 2015-2018.

Grants

• PIMS-CNRS Post-doctoral fellowship

  Worth 30000 CAD per year, for two years. Partial funding for my post-doctoral fellowship at the University of Calgary. In 2024. link

• DrEAM (Université de Lorraine)

  Worth 4500 €. Funding for a three months visit to Renate Scheidler at the University of Calgary during my PhD. In 2022. link

• Mitacs Globalink Research Award

  Worth 6000 CAD. Funding for a three months visit to Renate Scheidler at the University of Calgary during my PhD. In 2022. link