(Quoc-)Anh Tran

I am a fourth-year PhD student working with Ben Bakker. My broad interest is Algebraic Geometry. More specifically, I'm thinking about how Hodge and twistor structures interact with deformation theory of flat connections, and correspondingly of Higgs bundles.
Here is my CV.

During 2024-2025, I organized a reading group on Kobayashi's Differential Geometry of Complex Vector Bundles and another on moduli of K3 surfaces. I was also a co-organizer for the Graduate Algebraic Geometry Seminar.

Contacts

Office: SEO 733, 851 S Morgan St, Chicago, IL 60607
Email: atran58 (at) uic (dot) edu

Notes

These informal notes were made for talks, as I started learning the topics, so any originality lies in errors!

Introduction to Mumford-Tate group.
Generic Torelli for hypersurfaces. Based on Voisin's volume 2.
General curve of genus 6.
Decompositions in derived categories. Based on Huybrechts' book.
Deligne's finiteness theorem.
Introduction to Intersection Cohomology.
Hodge modules over curves.

Teaching

Current teaching: This Fall 2025, I'm a TA for MATH 160 - Finite Math for Business. My office hour is Tuesday and Thursday 11-12pm at the MSLC.

Past teaching:

Fall 2022 - Summer 2024, Spring 2025: TA for MATH 125.
Fall 2024: TA for MATH 210 - Calculus 3.
Rice University: TA for Honors Linear Algebra, Group Theory, Undergraduate Algebraic Geometry, Algorithms.

I did some olympiad training for Vietnamese high schoolers, with two IMO participants and dozens of national medalists.