My research interests lie in the field of number theory. In particular, I am currently working on problems concerning Mahler measures, hypergeometric series, special values of L-functions, modular forms, and arithmetic of algebraic varieties. My Ph.D. thesis title is Mahler measures of hypergeometric families of Calabi-Yau varieties.

Publications[8] A polyharmonic Maass form of depth 3/2 for SL_2(Z) (with S. Ahlgren and N. Andersen) (submitted for publication) arXiv

[7] A note on cusp forms as p-adic limits (with S. Ahlgren), J. Number Theory 168 (2016), 360-373 Journal arXiv

[6] Feynman integrals and critical modular L-values, Commun. Number Theory Phys. 10 (2016), 133-156 Journal arXiv

[5] Further explorations of Boyd's conjectures and a conductor 21 elliptic curve,

(with M. Lalín and W. Zudilin), J. London Math. Soc. (2) 93 (2016), 341-360 Journal arXiv

[4] The elliptic trilogarithm and Mahler measures of K3 surfaces, Forum Math. 28 (2016), 405-423 Journal arXiv

(with M. A. Papanikolas and M. D. Rogers),

*Math. Z.*276 (2014), 1151-1163

*Journal*

*arXiv*

Useful links

- LMFDB (the database of L-functions, modular forms, and related objects)
- SAGE
- Magma Calculator
- Inverse Symbolic Calculator
- OEIS (the on-line encyclopedia of integer sequences)
- math.NT in arXiv
- Number Theory Conferences
- MathSciNet
- Number Theory Group at UIUC
- Number Theory Group at Texas A&M