Shubham Saha

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About me:

I am a sixth-year graduate student at UC San Diego. My advisor is Elham Izadi. Previously, I was an undergraduate at Chennai Mathematical Institute.

My research interests include: enumerative problems arising from the intersection theory of the moduli spaces/stacks of curves with additional structures, such as vector bundles, Higgs bundles, marked points, and moduli of abelian varieties.

Here is my CV (updated 09/08/25).

I am on the job market. Research statement available upon request.

Research

Papers and preprints

Cohomology of the tricanonical locus in $\mathcal{M}_{3,12}$. (Joint work in preparation)
Cycles on the universal moduli stack of semistable bundles of rank two over genus two curves. (In preparation)
Rational Chow ring of the universal moduli space of semistable rank two bundles over genus two curves. (arxiv)
Unirationality of the universal moduli space of semistable bundles over smooth curves. (arxiv)

Teaching

I have been a teaching assistant for the following courses.

UCSD:

MATH 180B: Winter 2025
MATH 109: Spring 2024, Spring 2025
MATH 18: Summer 2021, Summer 2023, Fall 2023
MATH 31AH: Fall 2021
MATH 20C: Winter 2022, Fall 2025
MATH 103A: Summer 2022
MATH 102: Spring 2022, Fall 2022, Winter 2024, Fall 2024, Summer 2025
MATH 31BH: Winter 2023
MATH 31CH: Spring 2023

CMI:

Algebra III (2019)

Other Mentoring Activities

I have had the privilege to be involved in the following mentoring activities.

RTG undergraduate reading group (Spring '22): Geometry of Algebraic Curves
Problem selection & setting committee for STEMS 2018, 19
Training Faculty at IMOTC 2018, 19

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