Yu Shen's Homepage

Yu Shen's Homepage

Yu Shen 沈钰

About me

Email: shenyu5 at msu dot edu

Starting in Fall 2026, I will be a Postdoctoral Scholar in the Department of Mathematics at Florida State University, working with Professor Jeremy Usatine. I received my Ph.D. in Mathematics from Michigan State University under the supervision of Professor Rajesh Kulkarni.

My research interest is algebraic geometry, particularly in noncommutative algebras, Brauer groups, derived categories, and Bridgeland stability conditions. Recently, I have been interested in proper DG categories.

Research

Published paper

Picard group action on the category of twisted sheaves (joint withTing Gong , and Yeqin Liu ).

Journal of Noncommutative Geometry (to appear) arxiv.org/abs/2508.09379

Preprints

Stability conditions on surface root stacks (joint with Yeqin Liu ).

arxiv.org/pdf/2407.19104

Derived category of certain maximal order on ℙ².

arxiv.org/pdf/2409.19857

Morita theory of twisted sheaves on μₙ gerbe of line bundles (joint with Yeqin Liu ).

arxiv.org/pdf/2409.20317

A counterexample to DG version of Han's conjecture (joint withYeqin Liu ).

arxiv.org/abs/2512.12460

Submitted Manuscripts

A moduli interpretation of curves in the intermediate Jacobian of conic bundles.

On proper finite-cell DG algebras (joint withYeqin Liu ).

Teaching

Michigan State University

MTH 235, Differential Equations, TA, Spring 2025
MTH 819 Algebra II, TA, Spring 2024
MTH 234 Calculus III, TA, Spring 2023
MTH 234 Calculus III, TA, Fall 2022
MTH 132 Calculus I, Instructor, Summer 2022
MTH 234, Calculus III, TA, Spring 2022
MTH 101, Quantitative Literacy, TA, Fall 2021
MTH 235, Differential Equations, TA, Summer 2021
MTH 234 Calculus III, TA Summer 2021
MTH 234 Calculus III, TA, Spring 2021
MTH 234: Calculus III, TA, Fall 2020

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