Siddharth Mathur (Sid)

Email: siddharth.mathur (at) mat (dot) uc (dot) cl

Address: Edificio Rolando Chuaqui,

Campus San Joaquín. Avda.

Vicuña Mackenna 4860, Macul, Chile

Short CV

As of January 2023, I am an Assistant Professor in the Department of Mathematics in Universidad Católica de Chile.

From 2018 to 2022, I did postdocs at the University of Arizona, Heinrich-Heine Universität, the Mittag-Leffler Institut, and the Institut de Mathématique d'Orsay. In 2018, I received my PhD in Mathematics from the University of Washington.

Research Interests

Algebraic and Arithmetic Geometry: Algebraic stacks and applications, vector bundles, moduli spaces, Brauer groups, twisted sheaves, the resolution property, and arithmetic hyperbolicity.

Publications and Preprints

0. Some Theorems on the Resolution Property and the Brauer map (Thesis)

1. Quasi-affineness and the 1-Resolution Property (joint with Neeraj Deshmukh and Amit Hogadi) (arxiv)

International Mathematics Research Notices, Volume 2022, Issue 3, February 2022, Pages 2224–2249.

2. The resolution property via Azumaya algebras (arxiv)

Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2021, no. 774, 2021, pp. 93-126.

3. Experiments on the Brauer map in high codimension (arxiv)

Algebra Number Theory 16, No. 3, 747-775 (2022).

4. Good reduction and cyclic covers (joint with Ariyan Javanpeykar and Daniel Loughran) (arxiv)

Journal of the Institute of Mathematics of Jussieu

5. Extending vector bundles from curves (arxiv)

To appear in Mathematical Research Letters

6. The resolution property holds away from codimension three (joint with Stefan Schröer) (arxiv)

To appear in Transactions of the American Mathematical Society

7. Unipotent morphisms (joint with Daniel Bragg and Jack Hall) (arxiv)

Submitted

8. Smooth hypersurfaces in abelian varieties over arithmetic rings (joint with Ariyan Javanpeykar) (arxiv)

Forum of Mathematics, Sigma, 10, E97