Publications
1. A geometric perspective on some arithmetic statistics questions over function fields, Ph.D Thesis, UW Madison 2017
2 . Higher moments of arithmetic functions in Short Intervals, joint with Daniel Hast, IMRN, Volume 2019, Issue 21, November 2019, Pages 6554–6584 ,https://doi.org/10.1093/imrn/rnx310
3. Constants in Titchmarsh divisor problems for elliptic curves , joint with Renee Bell, Clifford Blakestad, Alina Carmen Cojocaru, Alexander Cowan, Nathan Jones, Geoffrey Smith, Isabel Vogt, Research in Number Theory, 6(2019), https://link.springer.com/article/10.1007/s40993-019-0175-9
4. Counting norms in the extension $\mathbb{F}_q[\sqrt{d}{T}]/\mathbb{F}_q[T]$-submitted, Res Math Sci 7, 31 (2020), https://doi.org/10.1007/s40687-020-00229-0
5. Average size of automorphism group of smooth projective hypersurfaces, Mathematics Research Letters, 28(2021), DOI: 10.4310/MRL.2021.V28.N4.A10
6. Counting Plane Cubic Curves over Finite Fields with a Prescribed Number of Rational Intersection Points-submitted, joint with Nathan Kaplan, European Journal of Mathematics, June 2021, DOI: 10.1007/s40879-021-00472-x
7. Doubly isogenous genus 2 curves with D_4-action, joint with Vishal Arul, Jeremy Booher, Steven R. Groen, Everett W. Howe, Wanlin Li, Rachel Pries, Caleb Springer, Mathematics of Computation, August 2023, DOI: https://doi.org/10.1090/mcom/3891
8. Probabilistic Galois Theory -- The Square Discriminant Case, joint with L. Bary-Soroker, O. Ben-Porath, arXiv:2207.12493
Expositions, Short Notes, etc
Disclaimer: None of the following notes, expositions, etc are intended to be sent for publications. They serve as references for various results.
Infinitely many hyperelliptic numbers File