I am a sixth year graduate student at the UIC MSCS department. My advisor is Wenliang Zhang. Duing 2023-2024 I am supported by the Dean’s Scholar Fellowship at UIC.
Research Interests
I am broadly interested in commutative algebra and algebraic geometry. Specifically, I am interested in understanding local cohomology modules, D-modules and singularity problems in any characteristic.
My most recent CV.
Papers
- Vanishing of Local cohomology and Segre products (with Wenliang Zhang), in preparation.
- On the generalized multiplicities of maximal minors and sub-maximal pfaffians, arxiv, submitted.
- Singularities of generic linkage via Frobenius powers, arxiv, accepted to Proc. Amer. Math. Soc.
- Socle degrees for local cohomology modules of thickenings of maximal minors and sub-maximal Pfaffians (with Michael Perlman), arxiv, accepted to Proc. Amer. Math. Soc.
Talks
- Commutative algebra seminar, Purdue University, Nov 2023
- Commutative algebra seminar, University of Michigan, Nov 2023
- Algebra days in Arizona, Arizona State University, Nov 2023.
- “Commutative Algebra, Differential Operators, and Singularities”, AMS Sectional Meeting, Creighton University, October 2023.
- Commutative algebra and algebraic geometry seminar, University of Minnesota, October, 2022.
- Special session of commutative algebra, AMS Sectional Meeting, University of Utah, October 2022.
- “Recent developments in commutative algebra”, AMS Sectional Meeting, Purdue University, March 2022.
- Commutative Algebra seminar, UIC, March 2022.
Other presentations
- Lightening talk at Macaulay2 workshop at UMN 2023.
- Poster at 2023 JMM AWM section, Boston.
- Poster at KUMUNU 2022 Fall.
- Several talks at the graduate student algebraic geometry seminar and the graduate student number theory seminar at UIC.
jli283 at uic dot edu