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 $\mathbb{F}_q[\sqrt{d}{T}]/\mathbb{F}_q[T]$-submittedRes Math Sci 7, 31 (2020), https://doi.org/10.1007/s40687-020-00229-0 

5. Average size of automorphism group of smooth projective hypersurfacesMathematics 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.