Sameera Vemulapalli
About
I am a Benjamin Peirce Fellow at Harvard, working with Melanie Wood. I was formerly an NSF postdoc at Stanford, working with Ravi Vakil. Before that, I was a graduate student at Princeton University, advised by Manjul Bhargava. My email is vemulapalli@math.harvard.edu. My primary research interest is number theory and algebraic geometry. My PhD thesis is titled ''Successive minima of orders in number fields'' and can be found
here.
Papers
- Unit lattices of D4-quartic number fields with signature (2,1), with Sergio Ricardo Zapata Ceballos, Sara Chari, Erik Holmes, Fatemeh Jalalvand, Rahinatou Yuh Njah Nchiwo, Kelly O'Connor, and Fabian Ramirez. [ArXiv]
- Galois groups of simple abelian varieties over finite fields and exceptional Tate classes, with Santiago Arango-Piñeros and Sam Frengley. [ArXiv]. Code can be found here.
- Shapes of unit lattices in D_p-number fields, with Robert Harron and Erik Holmes. [ArXiv]
- Galois groups of low dimensional abelian varieties over finite fields
, with Santiago Arango-Piñeros and Sam Frengley. [ArXiv]. Code can be found here.
- Tschirnhausen bundles of covers of the projective line, with Ravi Vakil. [ArXiv]
- Brill--Noether theory of smooth curves in the plane and on Hirzebruch surfaces,
with Hannah Larson. [ArXiv]
- The Steinitz realization problem, Published in the Proceedings of the American Mathematical Society. [ArXiv]
- The distribution of lattices arising from orders in low degree number fields. [ArXiv]
- Bounds on successive minima of orders in number fields and scrollar invariants of curves. [ArXiv]
- Sumsets of sequences in abelian groups and flags in field extensions. [ArXiv]
- On intersections of symmetric determinantal varieties and theta characteristics of canonical curves, joint with Avinash Kulkarni. Published in the Journal of Pure and Applied Algebra. [ArXiv]
- Computing unit groups of curves, with Justin Chen and Leon Zhang. Published in the Journal of Symbolic Computation, [ArXiv]
- Uniform bounds for the number of rational points on symmetric squares of curves with low Mordell-Weil rank, with Danielle Wang). Published in Acta Arithmetica, [ArXiv]
