Padmavathi Srinivasan

ICERM
121 South Main Street
11th Floor
Providence, RI 02903.
Office:
E-mail: padmavathi_srinivasan@brown.edu

I am a Senior Research Scientist at ICERM. I am interested in algebraic geometry and number theory. Previously I was a Limited Term Assistant Professor at the University of Georgia and a Hale Visiting Assistant Professor at Georgia Institute of Technology. I received my PhD in 2016 at MIT under the supervision of Bjorn Poonen. My undergraduate and masters degrees are from Chennai Mathematical Institute.

Here is my CV.

Preprints

Quadratic enrichments of the logarithmic derivative of the zeta function (joint with Margaret Bilu, Wei Ho, Isabel Vogt and Kirsten Wickelgren). In preparation.

Computing non-surjective primes associated to Galois representations of genus 2 curves (joint with Barinder S. Banwait, Armand Brumer, Hyun Jong Kim, Zev Klagsbrun, Jacob Mayle and Isabel Vogt). In preparation.

Conductor-discriminant inequality for tamely ramified cyclic covers (joint with Andrew Obus). In preparation.

p-adic adelic metrics and Quadratic Chabauty I (joint with Amnon Besser and J.Steffen Mueller).

Finiteness of reductions of Hecke orbits (joint with Mark Kisin, Yeuk Hay Joshua Lam and Ananth Shankar).

Group-theoretic Johnson classes and non-hyperelliptic curves with torsion Ceresa class (joint with Dean Bisogno, Wanlin Li and Daniel Litt).

Conductor-discriminant inequality for hyperelliptic curves in odd residue characteristic (joint with Andrew Obus).

Conductors and minimal discriminants: a comparison in the tame case.

Explicit computation of Tamagawa numbers and the sizes of component groups of Néron models of Jacobians using matrix-tree theorems , Thesis, Chapter 4 .

Conductors and minimal discriminants of hyperelliptic curves with rational Weierstrass points.

Publications

Surface bundles and the section conjecture (joint with Wanlin Li, Daniel Litt and Nick Salter). Mathematische Annalen. doi:10.1007/s00208-022-02421-9

Explicit minimal embedded resolutions of divisors on models of the projective line (joint with Andrew Obus). Research in Number Theory. doi:10.1007/s40993-022-00323-y

An arithmetic count of lines meeting four lines in P3 (joint with Kirsten Wickelgren), Transactions of the AMS. doi:10.1090/tran/8307

A virtually ample field that is not ample, Israel Journal of Mathematics. doi:10.1007/s11856-019-1934-y

Zeta functions of a class of Artin-Schreier curves with many automorphisms (joint with Irene Bouw, Wei Ho, Beth Malmskog, Renate Scheidler and Christelle Vincent), Association for Women in Mathematics Series, 3. 2016. 87-124 . doi:10.1007/s118978-3-319-30976-7_4

Upcoming talks and travel

PCMI: Number theory informed by computation. July 18-August 5, 2022.

AIM Workshop on Moduli spaces for algebraic dynamical systems. September 27-October 1, 2021.

Ohio State Arithmetic Geometry Seminar. Columbus, Ohio. October 19, 2021.

Emory University, Algebra and Number Theory seminar. Atlanta, Georgia. November 2, 2021.

Johns Hopkins University, Number Theory seminar. Baltimore, Maryland. November 3, 2021.

Simon Fraser University, Number Theory and Algebraic Geometry seminar. Vancouver, British Columbia. 6:30 P.M. EST, December 2, 2021. (virtual)

Johns Hopkins University, Number Theory seminar. Baltimore, Maryland. November 3, 2021.

Canadian Math Society Winter Meeting 2021. Special Session in Algebraic Number Theory. Vancouver, British Columbia. December 4-5, 2021. (virtual)

Joint Mathematics Meetings 2022. AWM Workshop: Women in Algebraic Geometry (WiAG), I. Seattle, Washington.

Slides

Towards a unified theory of canonical heights on abelian varieties, Rational Points and Galois Representations, Pittsburg, May 10, 2021. Slides.

The section conjecture at the boundary of moduli space, Joint Mathematics Meetings, AMS Special Session on Algebraic and Arithmetic Geometry, January 9, 2021. Slides.

Finiteness results for reductions of Hecke orbits, Joint Mathematics Meetings, AMS Special Session on Branching Out: Ramification Invariants in Algebra and Geometry, January 8, 2021. Slides.

Computing exceptional primes associated to Galois representations of abelian surfaces, VaNTAGe (a virtual math seminar on open conjectures in number theory and arithmetic geometry), December 8, 2020. Slides.

An arithmetic count of lines meeting four lines, AMS Special session on Geometry and Topology in Arithmetic, Madison, September 14, 2019. Slides.

Conductors and minimal discriminants of hyperelliptic curves, Joint Mathematics Meetings, AMS Special session on Number Theory, Arithmetic Geometry and Computation, Baltimore, January 19, 2019. Slides.

Conductors and minimal discriminants of hyperelliptic curves: a comparison in the tame case, Georgia Algebraic Geometry Symposium, Atlanta, February 24, 2018. Slides.

Past conferences I have helped organize

ADDING: Anabelian Days Down IN Georgia, April 30-May 1, 2022. (Co-organized with Borys Kadets, Daniel Litt, and Nicholas Triantafillou.)

PAJAMAS: PAlmetto Joint Arithmetic, Modularity, and Analysis Series. (Online edition of PANTS) , September 19-20, December 5-6, 2020. (Co-organized with Jenny Fuselier, Arindam Roy, Frank Thorne, and David Zureick-Brown.)

Special Session on Curves, Jacobians, and Abelian Varieties at the AMS Spring Southeastern Sectional Meeting, March 13-15, 2020, rescheduled to , March 11-13, 2022. Cancelled twice due to COVID. (Co-organized with Andrew Obus and Tony Shaska.)

GATTACA: GeorgiA Tech Tropical, Arithmetic and Combinatorial Algebraic geometry, March 30-31, 2019. (Co-organized with Matt Baker, Philipp Jell, and Yoav Len.)

AMS MRC: Explicit Methods in Arithmetic Geometry in Characteristic p, June 16-22, 2019. (Co-organized with Renee Bell, Julia Hartmann, Valentijn Karemaker, and Isabel Vogt.)

Other writing

Practical Suggestions for Mathematical Writing. (With Renee Bell, Borys Kadets, Nicholas Triantafillou, and Isabel Vogt.) Notices of the AMS, Volume 68, Number 6, 930-934.

Thinking Positive: Arithmetic Geometry in Characteristic p. (With Renee Bell, Julia Hartmann, Valentijn Karemaker, and Isabel Vogt.) Notices of the AMS, Volume 66, Number 2, 239-241.