Shiva Chidambaram

Department of Mathematics
University of Chicago
5734 S. University Avenue
Chicago, IL 60637

Email: shivac at math dot uchicago dot edu
Office: Eckhart 2 B
Pronouns: he/him

I am a sixth year PhD student in the Department of Mathematics at the University of Chicago, studying number theory and arithmetic geometry. I am interested in Galois representations coming from Abelian varieties. Lately I have been working on moduli problems related to torsion representation of low dimensional abelian varieties. My advisor is Frank Calegari.

I completed my Bachelors and Masters from IISER Pune.

Here is my CV.

Publications and Preprints

• Mod \(p\) Galois representations not arising from abelian varieties. Preprint. [pdf] [arXiv]
  Here is an exposition of the work by my advisor.
• Rationality of twists of \(\mathcal{A}_2(3)\), with F. Calegari. Preprint. [pdf] [arXiv]
  Magma code and output.
  Here is an exposition of the work by my advisor.
• Abelian surfaces with fixed 3-torsion, with F. Calegari and D. Roberts. pp. 91--108, Proceedings of the Fourteenth Algorithmic Number Theory Symposium (ANTS-XIV), edited by Steven Galbraith, Open Book Series 4, Mathematical Sciences Publishers, Berkeley, 2020. [pdf] [arXiv] [Journal]
  Mathematica codes.
  Here is my presentation at ANTS-XIV. Here is an expository account of our work by my advisor.
  
• Some modular abelian surfaces, with F. Calegari and A. Ghitza. Mathematics of Computation (89) 2020, no. 321, p 387-394. [pdf] [arXiv] [Journal]

Other writings

• Topics Proposal, Galois Cohomology and applications.

I am teaching MATH 19620 - Linear Algebra in Winter 2021. Courses I have taught in the past are listed below.

• 2019-2020 MATH 152 - Calculus II, Autumn 2019; MATH 153 - Calculus III, Winter 2020.
• 2018-2019 MATH 151 - Calculus I, Autumn 2018; MATH 152 - Calculus II, Winter 2019; MATH 153 - Calculus III, Spring 2019.
• 2017-2018 MATH 152 - Calculus II, Autumn 2017; MATH 153 - Calculus III, Winter 2018; MATH 19620 - Linear Algebra, Spring 2018.
• 2016-2017 College Fellow for the MATH 161-162-163 sequence - Honors Calculus (IBL).

• I made this webpage using Zev Chonoles' guide. Thanks Zev!