Sameera Vemulapalli
About
My primary research interest is arithmetic statistics, especially in shapes of orders and ideals in number fields (and their distributions), and analogously, in covers of curves. I am also interested in determinantal varieties (especially over the integers), point-counting problems, heights (especially those related to number fields), and additive combinatorics. My PhD thesis is titled ''Successive minima of orders in number fields'' and can be found here.
Papers
- Bounds on Successive Minima of Orders in Number Fields and Scrollar Invariants of Curves, Preprint, arXiv:2207. 10522 [July 2022]
- Sumsets of sequences in abelian groups and flags in field extensions, Preprint, arXiv:2207. 10507 [July 2022]
- On intersections of symmetric determinantal varieties and theta characteristics of canonical curves, (joint with Avinash Kulkarni), Published in Journal of Pure and Applied Algebra , 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]
Invited Talks
- Number Theory Seminar, UCLA [May 2024]
- Algebra and Number Theory Seminar, Montana State University [April 2024]
- Algebra and Number Theory Seminar, Johns Hopkins University [April 2024]
- Number Theory Seminar, California Institute of Technology [April 2024]
- Moduli Spaces in Algebraic Geometry Special Session, AMS Southeastern Sectional Meeting at Florida State University [March 2024]
- Commutative Algebra and Algebraic Geometry Seminar, UC Berkeley [January 2024]
- Algebra and Number Theory Seminar, Oregon State University [January 2024]
- Algebraic Geometry Seminar, UC Davis [December 2023]
- Number Theory Seminar, Stanford University [November 2023]
- Algebra and Number Theory Seminar, UC Santa Cruz [November 2023]
- Number Theory Seminar, Columbia University [April 2023]
- Arithmetic Statistics Special Session, AMS Sectional Meeting at University of Cincinnati [April 2023]
- Algebra and Number Theory Seminar, Emory University [March 2023]
- Number Theory Seminar, UC San Diego [February 2023]
- Algebra and Number Theory Seminar, Dartmouth College [February 2023]
- Number Theory Seminar, Princeton University/IAS [January 2023]
- Arithmetic Statistics Special Session, Joint Mathematics Meetings [January 2023]
- Palmetto Number Theory Series, University of South Carolina [December 2022]
- Algebra/Number Theory Seminar, Brown University [December 2022]
- Algebra, Geometry, and Number Theory Seminar, Tufts University: Bounds on Successive Minima of Orders in Number Fields [November 2022]
- Simons Foundation Conference, Geometry in Arithmetic Statistics, Schloss-Elmau, Germany: Bounds on Successive Minima of Orders in Number Fields and Scrollar Invariants of Curves [September 2022]
- SAXAG Seminar, Max Planck Institute for Mathematics in the Natural Sciences, Leipzig : On intersections of symmetric determinantal varieties and theta characteristics of canonical curves [July 2022]
- Nonlinear Algebra Seminar, Max Planck Institute for Mathematics in the Natural Sciences, Leipzig: An introduction to arithmetic statistics [June 2022]
- Adopha Seminar, Leiden University: Asymptotic bounds on successive minima of orders in number fields [January 2022]
- Seminar on Nonlinear Algebra, Max Planck Institute for Mathematics in the Natural Sciences, Leipzig: Cohen-Lenstra Heuristics [June 2019]
- Number Theory Seminar, University of Groningen: Rational points on symmetric squares of curves [July 2018]
- Seminar on Nonlinear Algebra, Max Planck Institute for Mathematics in the Natural Sciences, Leipzig: Counting Unit Groups of Curves [June 2018]
Contributed Talks
- Arithmetic Statistics Seminar, Princeton University [November 2022]
- Graduate Student Seminar, Princeton University: Monogenic cubic rings [November 2022]
- Graduate Student Seminar, Princeton University: An introduction to sumset theorems: Kneser's theorem, Vosper's theorem, and generalizations [March 2022]
- Arithmetic Statistics Seminar, Princeton University: The Relationship between Segre cubic threefolds, Igusa quartic threefolds, and quintic and sextic etale algebras, P\ t. 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]
- Graduate Student Seminar, Princeton University: Higher Composition Laws [April 2019]
- AMS Contributed Paper Session on Research in Geometry, Groups, and Representations by Undergraduate and Post-Baccalaureate Students, Joint Mathematics Meetings 2018: Uniform Bo\ unds for the Number of Rational Points on Symmetric Squares of Curves with Low Mordell-Weil Rank [January 2018]