Algebraic curves
2026 S. Frengley and S. Vemulapalli. Tschirnhausen bundles of sextic covers of P1. Preprint.
2025 S. Frengley and S. Vemulapalli. Tschirnhausen bundles of quintic covers of P1. Preprint.
2024 R. Vakil and S. Vemulapalli. Tschirnhausen bundles of covers of the projective line. Journal fur die Reine und Angewandte Mathematik (Crelle's Journal) (2026).
2024 H. Larson and S. Vemulapalli. Brill--Noether theory of smooth curves in the plane and on Hirzebruch surfaces. Preprint.
2022 S. Vemulapalli, Bounds on successive minima of orders in number fields and scrollar invariants of curves. Preprint.
2021 A. Kulkarni and S. Vemulapalli. On intersections of symmetric determinantal varieties and theta characteristics of canonical curves. Journal of Pure and Applied Algebra (2024).
2018 J. Chen, L. Zhang, and S. Vemulapalli. Computing Unit Groups of Curves. Journal of Symbolic Computation (2021).
Geometry of numbers
2025 R. Harron, E. Holmes, and S. Vemulapalli. Shapes of unit lattices in D_p-number fields. Mathematische Zeitschrift (2025).
2025 S. R. Z. Ceballos, S. Chari, E. Holmes, F. Jalalvand, R. Y. N. Nchiwo, K. O'Connor, and F. Ramirez. Unit lattices of D4-quartic number fields with signature (2,1) Journal of Number Theory (2025).
2024 S. Vemulapalli, The Steinitz realization problem. Proceedings of the American Mathematical Society (2024).
2024 S. Vemulapalli, The distribution of lattices arising from orders in low degree number fields. Preprint.
2022 S. Vemulapalli, Bounds on successive minima of orders in number fields and scrollar invariants of curves. Preprint.
Abelian varieties & rational points
2025 S. Arango-Piñeros, S. Frengley, and S. Vemulapalli. Galois groups of simple abelian varieties over finite fields and exceptional Tate classes. Preprint.
2024 S. Arango-Piñeros, S. Frengley, and S. Vemulapalli. Galois groups of low dimensional abelian varieties over finite fields. To appear in the Transactions of the American Mathematical Society (2026).
2017 S. Vemulapalli and W. Danielle. Uniform bounds for the number of rational points on symmetric squares of curves with low Mordell-Weil rank. Acta Arithmetica (2021).
Additive combinatorics
2022 S. Vemulapalli. Sumsets of sequences in abelian groups and flags in field extensions. Preprint.