**Shiji Lyu**

**Email:** slyu [at] math [dot] princeton [dot] edu

Greetings! I am a PhD student at Princeton University from 2018. My advisor is Professor János Kollár. I obtained my B.Sc. at Peking University.

I am interested in commutative algebra and algebraic geometry, especially singularities in positive and mixed characteristics.

**Papers and preprints:**

6. **(In preparation)** Uniform bounds in excellent rings and applications to semicontinuity. Draft (2023)

5. The gamma-construction and permanence properties of the (relative) F-rational signature. arXiv preprint (2022)

4. On some properties of birational derived splinters. arXiv preprint (2022)

3. **Appendix to** Direct summands of klt singularities (authored by Ziquan Zhuang). arXiv preprint (2022)

2. The relative minimal model program for excellent algebraic spaces and analytic spaces in equal characteristic zero, coauthored with Takumi Murayama. arXiv preprint (2022)

1. Permanence properties of splinters via ultrapower. arXiv preprint (2022)

0. Deterministic Sampling of Expensive Posteriors Using Minimum Energy Designs.
V. Roshan Joseph, Dianpeng Wang, Li Gu, **Shiji Lyu**, and Rui Tuo. Technometrics 61:3 (2019), 297-308

**Conference and seminar talks:**

**March 2023**

Algebraic geometry seminar, Stanford University, Stanford, California

Algebraic geometry seminar, Princeton University, Princeton, New Jersey

**January 2023**

Algebraic geometry seminar, University of Tokyo, Shibuya, Tokyo

**October 2022**

Commutative algebra seminar, University of Illinois Chicago, Chicago, Illinois

**September 2022**

Commutative algebra seminar, University of Utah, Salt Lake City, Utah

Algebraic geometry seminar, Purdue University, West Lafayette, Indiana

Commutative algebra seminar, University of Michigan, online

**June 2022**

Algebraic Geometry and Singularities Learning Workshop & Conference (mini-talk), University of Washington, Seattle, Washington

**March 2022**

Southern Regional Algebra Conference 2022, Georgia College & State University, Milledgeville, Georgia

**Last updated:** March 2023.