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.