Publications
2025:
with Z. Lin - Vertex algebras and coalgebras in closed monoidal categories, in preparation.
with Z. Lin - Differential graded algebras with divided powers and homotopy Lie algebras, arXiv:2511.22614 (2025), accepted for publication in Journal of Algebra.
with F. Ali Banna, E. Brandao, J.P. Colombier, R. Emonet & M. Sebban - Unrolled-SINDy: A Stable Explicit Method for Non linear PDE Discovery from Sparsely Sampled Data, submitted.
with R. Emonet, A. Habrard, A.R. Mezidi & M. Sebban - Méthode de quadrature pour les PINNs fondée théoriquement sur la hessienne des résiduels, 30e Colloque sur le traitement du signal et des images, pages 473-476. GRETSI -- Groupe de Recherche en Traitement du Signal et des Images, Strasbourg, Août 25-29, 2025. arXiv Link
with R. Emonet, A. Habrard, A.R. Mezidi & M. Sebban - Provably Accurate Adaptive Sampling for Collocation Points in Physics-informed Neural Networks, Machine Learning and Knowledge Discovery in Databases. Research Track. ECML PKDD 2025. Lecture Notes in Computer Science, vol 16017. arXiv Link
with Z. Lin - Equivariant vertex coalgebras, $C_2$-coalgebras and duality for diagonalisable group schemes, arXiv:2501.02661 (2025), submitted.
2024:
with C. Jiang & Z. Lin - Differential graded vertex Lie algebras, J. Math. Phys. 65 (2024), no. 12, Paper No. 121702. arXiv Link
with C. Jiang & Z. Lin - Cohomological varieties associated to vertex operator algebras, Adv. Math. 447 (2024). arXiv Link
2023:
with C. Jiang & Z. Lin - Differential graded vertex operator algebras and their Poisson algebras, J. Math. Phys. 64 (2023), no. 12, Paper No. 121702, 35 pp. arXiv Link
with C. Jiang & Z. Lin - Yoneda algebras of the triplet vertex operator algebra, J. Algebra 633 (2023), 425–463. arXiv Link
2021:
Deformations of Inhomogeneous Simple Singularities and Quiver Representations, Algebr. Represent. Theory 24 (2021), no. 1, 1–53. arXiv Link
2019:
Root Systems and Quotients of Deformations of Simple Singularities, J. Algebra 526 (2019), 382–422. arXiv Link
2017:
Inhomogeneous Kleinian singularities and quivers, 50th Seminar "Sophus Lie'', 87–94, Banach Center Publ., 113, Polish Acad. Sci. Inst. Math., Warsaw, 2017. HAL Link
Singularity and Lie Theory, Ph.D thesis (2017), University of Lyon.
Talks/Posters
29/04/2026, Seminar of the EPITA Research Laboratory, Lyon, France, "Quiver representations and training of neural networks".
01-03/04/2026, Colloque Tournant du RT algèbre, University of Tours, France, "Dérivations d'algèbres à puissances divisées et algèbres de Lie d'homotopie".
08-13/01/2026, SLEIGHT Science Event #15, Jean Monnet University, Saint-Étienne, France, "PIMALEA - Provably accurate adaptive sampling for collocation points in physics-informed neural networks".
17/11/2025, Algebra seminar of the Fourier Institut, Grenoble, France, "Algèbres de Lie d'homotopie et dérivations de pd dg algèbres".
15-19/09/2025, Conference "ECML PKDD'', Porto, Portugal, "Provably accurate adaptive sampling for collocation points in physics-informed neural networks''.
11/06/2025, Algebra seminar of the Laboratoire de Mathématiques et Applications of the University of Poitiers, Poitiers, France, "Derivations of pd dg algebras and homotopy Lie algebras''.
25-29/08/2025, Colloquium "GRETSI 2025'', Strasbourg, France, "Méthode de quadrature pour les PINNs fondée théoriquement sur la hessienne des résiduels''
14-15/05/2025, Rencontre "Poisson 2025'', La Rochelle, France, "(co)Poisson (co)algebras and vertex (co)algebra duality''.
12-13/05/2025, Kick-off of the ANR MELISSA, Saint-Étienne, France, "Quadrature rules and collocation points sampling in PINNs''.
17/04/2025, Rocky Mountain Representation Theory Seminar (online format), "C2-(co)algebras and vertex (co)algebra duality''.
20/02/2025, Algebra seminar of Jean Monnet University, Saint-Étienne, France, "C2-algebras, duality, and homotopy Lie algebras''.
12/10/2023, Rocky Mountain Representation Theory Seminar (online format), "The cohomological variety of a vertex operator algebra".
25/09/2023, Algebra Seminar of Kansas State University, Manhattan, USA, "Differential graded vertex operator algebras and their associated Poisson algebras, Part 2".
18/09/2023, Algebra Seminar of Kansas State University, Manhattan, USA, "Differential graded vertex operator algebras and their associated Poisson algebras, Part 1".
11/09/2023, Algebra Seminar of Kansas State University, Manhattan, USA, "The cohomological variety of a vertex operator algebra".
03-07/07/2023, 14th Ukraine Algebra Conference, Sumy State 'A.S. Makarenko' Pedagogical University (online format), Sumy, Ukraine, "The Yoneda algebra of a complete intersection ring".
09-12/06/2023, Workshop "Vertex algebra, Hopf algebra and related topics", Shanghai Jiao Tong University, Shanghai, China, "Differential graded vertex Lie algebras and their associated differential graded vertex algebras".
21/02/2023, Algebra seminar of Uppsala University, Uppsala, Sweden, "The cohomological variety of a vertex operator algebra".
02/02/2023, Algebra seminar of Claude Bernard Lyon 1 University, Lyon, France, "The cohomological variety of a vertex operator algebra".
26/01/2023, Geometry, Algebra, Dynamic and Topology seminar of University of Burgundy, Dijon, France, "The cohomological variety of a vertex operator algebra".
05-07/12/2022, Representation theory study group, Henan University, Kaifeng, China, "The cohomology of a non rational vertex operator algebra".
8-12/01/2018, 7th Swiss-French workshop in algebraic geometry, Charmey, Switzerland, "Inhomogeneous simple singularities, singular fibers and root systems".
11-12/09/2017, Dijon - Basel Seminar, Dijon, France, "Inhomogeneous Kleinian singularities and quivers".
25/09/2016 to 01/10/2016, 50th Sophus Lie Seminar, B\k{e}dlewo, Poland, Poster "Inhomogeneous Kleinian singularities and quivers".
13-17/06/2016, Non-commutative crepant resolution, Ulrich module and generalization of the McKay correspondence, RIMS, Kyoto, Japan, Poster "Inhomogeneous Kleinian singularities and quivers".
11-13/01/2016, Opening days of the ANR GéoLie, Saint-Étienne, France, "Deformations of Kleinian singularities".
27/07/2015, Kobe-Lyon Summer School on Quivers, Kobe, Japan, "Deformations and resolutions of Kleinian singularities".
12/06/2015, JSPS Summer Program, Sokendai, Japan, Poster "Deformations and resolutions of Kleinian singularities".
fall 2014, Doctoral seminar of the Camille Jordan Institute, Lyon, France.