Yilin Wu

I obtained my PhD under the direction of Prof. Bernhard Keller and Prof. Guodong Zhou.

How to reach me 😺

Adresse:

0625100, Maison du Nombre, 6, avenue de la Fonte, L-4364 Esch-sur-Alzette

Email:

wuyilinmath@gmail.com

Research Interests 🧐

Cluster algebras, their categorification, their combinatorics, and their links to topology
Representation theory, dg categories and noncommutative algebraic geometry
Quiver variety, $\infty$-category, derived geometry

Seminars and Working groups 📚

2022.09-2023.01, Seminar on relative Calabi-Yau structures and relative Calabi-Yau completions
2023.02-2023.06, Seminar on Hall algebras
2024.02-2024.06, Reading Jasso-Keller-Muro's paper "The Derived Auslander-Iyama Correspondence".
2024.09-2025.02, Seminar on pre-Calabi-Yau structures

Teaching 📖

Spring 2024, 代数学选讲, USTC
Spring 2025, 中法班口试课, USTC
Winter 2025, Refresher on Algebra, University of Luxembourg
Winter 2025, Refresher on Linear Algebra and Topology, University of Luxembourg
Spring 2026, Algèbre 2: Commutative algebra and Representation theory, University of Luxembourg
Spring 2026, Algebraic Topology, University of Luxembourg

Publications and preprints 😵‍💫

Preprints

joint with Li Fan, Graded Higgs categories, in preparation.
Yilin Wu, Silting reduction, relative AGK's construction and Higgs construction.
joint with Bernhard Keller, Relative cluster categories and Higgs categories with infinite-dimensional morphism spaces, with an appendix by C. Fraser and B. Keller.

Publications

Yilin Wu, Group actions on Higgs categories and relative cluster categories, Nagoya Math. J. 261 (2026). (arXiv:2502.10670)
Yilin Wu Jinyi Xu and Guodong Zhou, GAGA type results for singularity categories, J. Pure Appl. Algebra. 229 (2025).
Yilin Wu, Relative cluster categories and Higgs categories, Adv. Math. 424 (2023). (arXiv:2109.03707)
Yilin Wu, Categorification of ice quiver mutation, Math. Z. 304, 11 (2023). (arXiv:2109.04503)
Yilin Wu and Guodong Zhou, From short exact sequences of abelian categories to short exact sequences of homotopy categories and derived categories, Electron. Res. Arch. 30 (2022), no. 2, 535–564.
Yilin Wu, Relative Calabi-Yau structures in representation theory, Ph.D thesis, 2021.

Useful Links 🐈

Cluster Algebras Portal
Quiver mutation in Javascript and Java, developed by Prof. Bernhard Keller.
FDLIST
kerodon.net, an online resource for homotopy-coherent mathematics
The Moduli Space
The Stacks project
Representation theory resources and references
Geometric Langlands Seminar
Notes on Geometric Langlands

Nice pictures 🥰