🌙
Yilin Wu
I obtained my PhD under the direction of
Prof. Bernhard Keller
and
Prof. Guodong Zhou
.
How to reach me 😺
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
Yilin Wu,
Quasi-equivalence of relabeled positroid cluster structures
.
Yilin Wu, Generic bases for quantum cluster algebras, in preparation.
Yilin Wu, A categorification of $\Lambda$-matrices in higher Teichmüller theory, in preparation.
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
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Nice pictures
🥰
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