Anh Tran

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

This semester I'm organizing a reading group on Kobayashi's Differential Geometry of Complex Vector Bundles. I'm also a co-organizer for the Graduate Algebraic Geometry Seminar for this year 24-25.
Last semester I organized a reading group on moduli of K3 surfaces.

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 Jacobian Varieties. Based on PAWS 2023's notes, and Milne's book.
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 spring 2025, I'm a TA for MATH 125 - Linear Algebra for Business. My office hour is Tuesday and Thursday 3-4pm at the MSLC.

Past teaching:

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

I also do some olympiad training, mostly during the breaks. I had a couple of students who went to the IMO, and dozens with national medals.