Research

My research is in number theory, with a primary focus on the arithmetic theory of quadratic forms. I am particularly interested in extending the techniques used in the study of integral quadratic forms to the setting of integral quadratic polynomials. In my thesis, I establish a finiteness result for primitive regular ternary quadratic polynomials.

Publications

[3] (With J. Hatley and H. B. Daniels) Elliptic curves with maximally disjoint division fields, submitted for publication. arXiv

[2] (With W. K. Chan) The representation of integers by positive ternary quadratic polynomials, J. Number Theory 156 (2015), 75-94.

[1] (With J. Bajpai, S. Kimport, J. Liang, and D. Ma) Bilateral series and Ramanujan's radial limits, Proc. Amer. Math. Soc. 143 (2015), pp. 479-492.

Thesis

[0] Finiteness Results for Regular Ternary Quadratic Polynomials .