Department of Mathematics

155 S 1400 E RM 233

Salt Lake City, UT, 84112-0090

Office: JWB 130

Email: lwu@math.utah.edu

Tel: +1 801 581 6819

I am a Research Assistant Professor in the Department of Mathematics at the University of Utah. I completed my Ph.D in June 2017 at Northwestern University under the supervision of Professor Mihnea Popa. Here is my CV.

- Characteristic cycles associated to holonomic D-modules, preprint.
- Bernstein-Sato ideals and hyperplane arrangements, submitted.
- Zero loci of Bernstein-Sato ideals II (with Nero Budur, Robin van der Veer, and Peng Zhou), submitted.
- On the comparison of nearby cycles via b-functions, submitted.
- Isotriviality of smooth families of varieties of general type (with Chuanhao Wei), submitted.
- Hyperbolicity for log smooth families with maximal variation (with Chuanhao Wei), submitted.
- Zero loci of Bernstein-Sato ideals (with Nero Budur, Robin van der Veer, and Peng Zhou), to appear in Inventiones Math.
- Log D-modules and index theorems (with Peng Zhou), to appear in Forum of Mathematics, Sigma.
- Vanishing and injectivity for Hodge modules and R-divisors, to appear in Michigan Math. J.
- Brody hyperbolicity of base spaces of certain families of varieties (with Mihnea Popa and Behrouz Taji), Algebra & Number Theory 13 (2019), no. 9, 2205-2242.
- Vanishing and injectivity theorems for Hodge modules,
*Trans. Amer. Math. Soc.***369**(2017), no.11, 7719-7736. - Weak positivity for Hodge modules (with Mihnea Popa),
*Math. Res. Lett.***23**(2016), no.4, 1137-1153.

- Nearby and vanishing cycles for perverse sheaves and D-modules (a survey paper), submitted.
- Multi-indexed Deligne extensions and multiplier subsheaves,
*Thesis, Northwestern University*(2017).

Tianyuan Workshop (Algebraic Geometry 2020)

Fall 2020, I am teaching Math 1250-001 and Math 1320-001.