Alexis Leroux-Lapierre
Postdoctoral Fellow at the Simons Laufer Mathematical Sciences Institute, Representation Theory Under the Influence of Quantum Field Theory Program
| office | SLmath 204 |
| alexis.leroux-lapierre [at] mail.mcgill.ca |
Starting January 2027, I will be an FRQ Postdoctoral Fellow at Université Sherbrooke working with Alex Weekes.
I have completed my Ph.D. in 2026 under the supervision of Joel Kamnitzer at McGill University.
I have completed a B.Sc. and M.Sc at Université de Montréal. During my master's degree, I was supervised by Yvan Saint-Aubin.
research
My research focuses on representation theory and its connections to geometry and combinatorics. I am particularly interested in quantum groups, and my recent work explores the relationships between shifted Yangians, affine Grassmannian slices, and KLR algebras.
articles
- Category $\mathcal{O}$ for truncated shifted Yangians and the bi-infinite Bott-Samelson variety, arxiv 2607.04480. Joint with Joel Kamnitzer, Antoine Labelle, Théo Pinet and Alex Weekes. Submitted for publication.
- Category $\mathcal{O}$ and asymptotic characters, arXiv 2507.16215. To appear in Advances in Mathematics.
working groups and seminars
- fall 2025 and winter 2026 - categorification seminar. I am organizing a seminar on graded quiver varieties which is a continuation of the categorification seminar. You can find the meeting log here.
- winter 2025 - categorification seminar. I am organizing a seminar on monoidal categorification of cluster algebras which is a continuation of the fall 2024 categorification seminar. You can find the meeting log here.
- fall 2024 - categorification seminar. I am organizing a (new) seminar on categorification. You can find the meeting log here.
- fall 2022 to winter 2024 - mcgill mathematics and statistics graduate seminar
- winter 2024 - MV polytopes working group. I am coorganizing a working group on MV polytopes which is joint with udem, uqam and mcgill. You can find the log here.
- winter 2024 - categorification seminar. I am coorganizing a seminar on categorification which is joint work with udem, mcgill, ulaval and northeastern university. We run a zulip chat keeping track of all that's happening.
teaching
lecturing
- summer 2025 - Course lecturer for math222, calculus 3. To view the course log, click here.
- summer 2023 - Course lecturer for math133, linear algebra and geometry. To view the course log, click here.
- summer 2022 - Course lecturer for math133, linear algebra and geometry. To view the course log, click here.
- fall 2021 - Course lecturer for math228, classical geometry. To view the course log, click here.
teaching assistantship
- math223, linear algebra. McGill, hiver 2020
- mat2100, analyse 3. UdeM, hiver 2019
- mat1000, analyse 1. UdeM, automne 2019, automne 2018, hiver 2018
- mat1720, probabilités. UdeM, été 2018
- mat1400, calcul 1. UdeM, automne 2017
mentorship
For Fall 2026, I am mentoring Erika Bessera at SLmath.
As a Ph.D. student, I was a mentor for the Directed Reading Program of McGill's Mathematics and Statistics department. Here's a description of the projects:
- Crystal bases, skew-shapes and the Nakajima's monomial crytal (winter 2026, 3 students mentored)
- Representation theory: folding of Dynkin diagrams and knot invariants (winter 2025, 3 students mentored)
- Introduction to categorification (winter 2024, 2 students mentored)
- Percolation and probablity on graphs (winter 2023, 2 students mentored)
- Quantum groups and their representations (winter 2023, 2 students mentored)
- Introduction to representation theory of finite groups (winter 2022, 1 student mentored)
quelques photos
