Postdoc at Institut für Mathematik

Humboldt-Universität zu Berlin

Email: ruijie.yang AT hu-berlin.de

Office: Rudower Chaussee 25, Raum 1.415

I am visiting the Institute of Algebraic Geometry at Hannover under the Riemann fellowship from July to Sept 2022. I will visit the Max Planck Institute for Mathematics at Bonn from Oct 2022 to Sept 2023 and I will teach a course in the winter semester 2022/2023.

I obtained my Ph.D in May 2021 from Stony Brook University, advised by Robert Lazarsfeld and Christian Schnell. Previously, I was an undergraduate at Nanjing University.

I am interested in complex algebraic geometry, especially Hodge theory and applications of mixed Hodge modules and non-abelian Hodge theory. Here is my CV.

Invited/upcoming talks

June 2022, a workshop on "Non abelian Hodge Theory and its applications to Algebraic Geometry" at Saint-Jacut, France.

June 30th 2022, Hodge seminar at Edinburgh, Scotland.

July 21st 2022, Algebraic geometry seminar at Hannover, Germany.

Oct 13th 2022, Oberseminar at Essen, Germany.

Nov 16th 2022, Algebraic geometry seminar at Warwick, UK.

Dec 5th - Dec 9th 2022, RTG/SCGP Graduate Workshop on "Birational Complexity of Algebraic Varieties" at Simons Center, Stony Brook, US.

Papers and preprints

7. A log resolution for the theta divisor of a hyperelliptic curve [arxiv]

with Christian Schnell.

6. Cohomology of semisimple local systems and the Decomposition theorem [arxiv] [shorter version]

with Chuanhao Wei.

5. L^2 minimal extensions over Hermitian symmetric domains [arxiv]

4. Hodge modules and singular Hermitian metrics [arxiv]

with Christian Schnell.

3. Nodal elliptic curves on K3 surfaces [arxiv]

with Nathan Chen and François Greer, Mathematische Annalen (to appear).

2. On irrationalities of hypersurfaces in P^{n+1} [arxiv]

Proceedings of the American Mathematical Society, 147(3):971–976, 2019.

1. Nef cones of nested Hilbert schemes of points on surfaces [arxiv]

with Tim Ryan, International Mathematics Research Notices, 2020(11):3260–3294.

Notes

  1. Weil operators for harmonic bundles [pdf]


Thesis

Decomposition theorem for semisimple local systems [pdf]

[Stony Brook University, 2021]