Sameera Vemulapalli
About
My primary research interest is arithmetic statistics. I am also interested in additive combinatorics and algebraic geometry. I like lattices, in pretty much any shape or form.
Papers
- On intersections of symmetric determinantal varieties and theta characteristics of canonical curves, (joint with Avinash Kulkarni), Submitted , arXiv:2109.08740 [October 2021]
- Computing unit groups of curves, (joint with Justin Chen and Leon Zhang), Accepted by Journal of Symbolic Computation, arXiv:1808.02742 [Aug 2018]
- Uniform bounds for the number of rational points on symmetric squares of curves with low Mordell-Weil rank, (joint with Danielle Wang), Accepted by Acta Arithmetica, arXiv:1708.07057 [August 2017]
Work in Progress
- Asymptotic bounds on successive minima of orders in number fields
- Bounds on the scrollar invariants of curves
- Kneser-type theorems for sequences in abelian groups and field extensions
Talks
- Graduate Student Seminar, Princeton University: An introduction to sumset theorems: Kneser's theorem, Vosper's theorem, and generalizations [March 2022]
- Adopha Seminar, Leiden University: Asymptotic bounds on successive minima of orders in number fields [January 2022]
- Arithmetic Statistics Seminar, Princeton University: The Relationship between Segre cubic threefolds, Igusa quartic threefolds, and quintic and sextic etale algebras, Pt. 2 [November 2021]
- Arithmetic Statistics Seminar, Princeton University: The Relationship between Segre cubic threefolds, Igusa quartic threefolds, and quintic and sextic etale algebras [November 2020]
- Arithmetic Statistics Seminar, Princeton University: The Relationship between Cayley cubic surfaces, Steiner quartic surfaces, and quartic etale algebras [November 2020]
- Arithmetic Statistics Seminar, Princeton University: The Relationship between Tricuspidal quartic plane curves, nodal cubic plane curves, and cubic etale algebras [November 2020]
- Graduate Student Seminar, Princeton University: Tricuspidal cubic plane curves and cubic etale algebras [November 2020]
- Arithmetic Statistics Student Seminar, Stanford University: Binary quartic forms having bounded invariants [June 2020]
- Princeton Open House Talk, Princeton University: Introduction to Arithmetic Statistics [March 2020]
- Arithmetic Statistics Student Seminar, Princeton University: Asymptotic bounds on successive minima of orders of number fields [December 2019]
- Computatational Tropical Geometry minisymposium, 2019 SIAM Conference on Applied Algebraic Geometry: Computing Unit Groups of Curves [July 2019]
- Seminar on Nonlinear Algebra, Max Planck Institute for Mathematics in the Natural Sciences, Leipzig: Cohen-Lenstra Heuristics [June 2019]
- Graduate Student Seminar, Princeton University: Higher Composition Laws [April 2019]
- Seminar on Nonlinear Algebra, Max Planck Institute for Mathematics in the Natural Sciences, Leipzig: Counting Unit Groups of Curves [June 2018]
- AMS Contributed Paper Session on Research in Geometry, Groups, and Representations by Undergraduate and Post-Baccalaureate Students, Joint Mathematics Meetings 2018: Uniform Bounds for the Number of Rational Points on Symmetric Squares of Curves with Low Mordell-Weil Rank [January 2018]