Ziwen Zhu

CURRICULUM VITAE

Education

• Ph.D. in Mathematics, University of Utah, April 2020
  Dissertation: K-stability and equivariant K-stability
  Advisor: Tommaso de Fernex

• M.S. in Applied Mathematics, Fudan University, June 2014
  Dissertation: Dependence models of claim run-off triangles in claim reserving
  Advisor: Rongmin Li

• B.S. in Mathematics, Fudan University, June 2011

Research Interest

• K-stability and equivariant K-stability of Fano varieties, alpha invariants, normalized volume of valuations, moduli space of Fano varieties;

• Birational Rigidity of Fano varieties and its relation with K-stability;

Past and Future Research Talks

• Equivariant K-stability under finite group action, Zoom Algebraic Geometry (ZAG) Seminar, Jul. 30th, 2020.

• Equivariant K-stability and Valuative Crteria, Birational Geometry, Kähler-Einstein Metrics and Degenerations, institue for Basic Science, South Korea, Nov. 19th, 2019.

• Equivariant K-stability and Valuative Crteria, Algebraic and Tropical Geometry Seminar, Yale University, Oct. 3rd, 2019.

• Higher codimensional alpha invariants and characterization of projective spaces, Birational Geometry, Kähler-Einstein Metrics and Degenerations, Shanghai Tech University, China, Jun. 12th 2019.

• Higher codimensional alpha invariants and characterization of projective spaces, Algebraic Geometry Seminar, Johns Hopkins University, Feb. 19th 2019.

• Higher codimensional alpha invariants and characterization of projective spaces, Algebraic Geometry Seminar, University of Utah, Nov. 27th 2018.

• Higher codimensional alpha invariants and characterization of projective spaces, Algebraic Geometry Seminar, Fudan University, Nov. 19th 2018.

• Higher codimensional alpha invariants and characterization of projective spaces, Algebraic Geometry Seminar, Purdue University, Oct. 10th 2018.

Grants

• NSF Grant DMS-2001254 Research Assistant, Spring 2020.

• NSF Grant DMS-1700769 Research Assistant, Fall 2018.

• NSF Grant DMS-1402907 Research Assistant, Fall 2016.

Conferences

• AIM workshop: K-stability and related topics, San Jose, 2020

• Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces, MSRI, 2019

• 2018 Fall Program of Moduli Spaces and Varieties, Shanghai Center for Mathematical Sciences, 2018

• Western Algrebraic Geometry Symposium, University of Oregon, 2018.
  (Poster session: Higher Codimensional Alpha Invariants and Characterization of Projective Spaces)

• Algebraic Geometry and its Broader Implications, UIC, 2018.

• Western Algrebraic Geometry Symposium, San Francisco State University, 2018.

• Western Algrebraic Geometry Symposium, UCLA, 2017.

• Conference on Birational Geometry, Simons Foundation, 2017.

• Hodge Theory, Moduli and Representation Thoery, Stony Brook, 2017.

• Summer School and Workshop: Higher Dimensional Algebraic Geometry, University of Utah, 2016.

• Midwest Commutative Algebra and Algebraic Geometry Conference, Notre Dame, 2016.

• Local and Global Methods in Algebraic Geometry, UIC, 2016.

• FRG Mini-workshop: Unramified cohomology, Derived Categories, and Rationality, University of Utah, 2016.

• Western Algebraic Geometry Symposium, Washington, 2015.

• AMS Summer Research Institute on Algebraic Geometry: Bootcamp and Conference, University of Utah, 2015.

• Western Algebraic Geometry Symposium, UC Davis, 2015.

Expository Presenstations

• Volumes of Fano manifolds, Student Algebraic Geometry Seminar, University of Utah, Fall 2019.

• Variation of stable birational types of hypersurfaces, Algebraic Geometry Preprint Seminar, University of Utah, Fall 2019.

• The relation between birational superrigidity and K-stability, Student Algebraic Geometry Seminar, University of Utah, Spring 2019.

• Stable maps in higher dimensions, Student Algebraic Geometry Seminar, University of Utah, Fall 2017.

• Space of arcs and Singularities, Student Algebraic Geometry Seminar, University of Utah, Spring 2017.

• The Grothendieck ring of varieties, Student Algebraic Geometry Seminar, University of Utah, Fall 2016.

• Reflexive Sheaves, Student Algebraic Geometry Seminar, University of Utah, Spring 2016.

• Analytic vs. algebraic viewpoints, Student Algebraic Geometry Seminar, University of Utah, Fall 2015.