Padmavathi Srinivasan

Padma_headshot

Pronouns: she/her
Department of Mathematics and Statistics
665 Commonwealth Avenue
Boston University
Office: CDS 513
E-mail: padmask@bu.edu
CV

I am an Assistant Professor at Boston University. I am interested in algebraic geometry and number theory. My research is supported by NSF DMS 2401547.

Previously I was a Senior Research Scientist at ICERM with the Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation, 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.

I mentor postdoctoral scholar Jerson Caro, and PhD student Liqiang Huang.

Courses and seminars

I help organize the BU Arithmetic Geometry seminar, and the BU Number Theory learning seminar. The topic of the learning seminar in Fall 2024 is Chromatic homotopy theory and p-adic geometry.

I am currently teaching MA 123: Calculus I.

I help organize the PAWS: Preliminary Arizona Winter School. The topics for Fall 2024 are Local Fields and Symmetries of root systems. The topic of the AWS: Arizona Winter school in Spring 2025 is Representation theory of p-adic groups.

Publications

Quadratic enrichments of the logarithmic derivative of the zeta function (joint with Margaret Bilu, Wei Ho, Isabel Vogt and Kirsten Wickelgren). To appear in Transactions of the AMS.

Finiteness of reductions of Hecke orbits (joint with Mark Kisin, Yeuk Hay Joshua Lam and Ananth Shankar). To appear in Journal of the European Mathematical Society.

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). Proceedings of LMFDB, Computation, and Number Theory (LuCaNT), 2023.

Conductor-discriminant inequality for hyperelliptic curves in odd residue characteristic (joint with Andrew Obus). International Mathematical Research Notices. doi:10.1093/imrn/rnad173

Group-theoretic Johnson classes and non-hyperelliptic curves with torsion Ceresa class (joint with Dean Bisogno, Wanlin Li and Daniel Litt). Épijournal de Géométrie Algébrique. doi:10.46298/epiga.2023.volume7.6849

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

Preprints

Certifying non-triviality of Ceresa classes of curves (joint with Jordan Ellenberg, Adam Logan and Akshay Venkatesh). 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).

Not intended for publication

Conferences I am organizing

BU-Keio-Tsinghua Workshop, Spring 2025. (Co-organized with Alexander Bertoloni-Meli and Siu-Cheong Lau.)

Past conferences I have helped organize

The Ceresa Cycle in Arithmetic and Geometry, May 13-17, 2024. (Co-organized with Daniel Corey, Jordan Ellenberg, Wanlin Li, Daniel Litt, and Congling Qiu.)

AWM Research Symposium, Special session on Recent advances in curves and abelian varieties, September 30-October 1, 2023, Clark Atlanta University. (Co-organized with Renee Bell and Isabel Vogt.)

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.

Upcoming talks and travel

Rational points on modular curves (virtual). Bangalore, India. September 20, 2023.

Duke University, Algebraic Geometry seminar. Durham, North Carolina. September 25, 2023.

Five college number theory seminar, Amherst college, Massachusetts. October 31, 2023.

Boston University, Number theory seminar. Boston, Massachusetts. December 4, 2023.

Harvard University, Number theory seminar. Cambridge, Massachusetts. Spring 2024, TBD.

Preliminary Arizona Winter School 2022

Heights in Diophantine Geometry. Virtual program for advanced undergraduates and junior graduate students worldwide. October 3-November 11, 2022.

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.