Dmitrii Pedchenko

**E-mail:**dpedchenko at math dot ucla dot edu

**CV:**pdf (Updated 8/1/21)

I am an Assistant Adjunct Professor of mathematics at UCLA. My current research is in algebraic geometry with a focus on the geometry of moduli spaces of sheaves.

I am also part of the Financial Mathematics group and teach courses for the corresponding major.

I completed my PhD under the mentorship of Jack Huizenga at Penn State.

Research

Recent papers: 2. The Picard group of the moduli space of sheaves on a quadric surface. (54 pages)*International Mathematics Research Notices, 2021.*[arXiv, Journal]

1. The Arens-Michael envelopes of the Jordan plane and the quantum enveloping algebra of sl(2). (15 pages)

*To appear in the Journal of Noncommutative Geometry, 2020.*[arXiv]

Expository writings: The Picard group of the moduli space of vector bundles on the quadric surface: [Video] [Slides]

Short talk at the FRG Workshop on Moduli Spaces and Stability, December 2020.