**Papers in Machine Learning:**

Coming soon…

**Papers in Number Theory:**

- Final number theory research statement, October 2012.
- The Mahler measure of a Calabi-Yau three fold and special L-values, with M. A. Papanikolas and D. Samart, Mathematische Zeitschrift
**276**(2014), no. 3-4, 1151–1163. - Moments of elliptic integrals and critical L-values, with J. Wan and I. J. Zucker, Ramanujan Journal
**37**(2015), no. 1, 113–130. - Secant zeta functions, with M. N. Lalin and F. Rodrigue, Journal of Mathematical Analysis and Applications
**409**(2013), no. 1, 197–204 . - A solution of Sun’s $520 challenge concerning 520/pi, with A. Straub, International Journal of Number Theory
**9**(2013), no. 5, 1273–1288. - Identities for the Ramanujan zeta function, Advances in Applied Mathematics
**51**(2013), no. 2, 266–275. - An integral arising from the chiral Sl(n) Potts model, with A. J. Guttmann, Journal of Physics A: Math. Theor.
**46**(2013), no. 4, 045202. - Spanning tree generating functions and Mahler measures, with A. J. Guttmann, Journal of Physics A: Math. Theor.
**45**(2012), no. 49, 494001. - Ramanujan series upside down, with J. Guillera, Journal of the Australian Math. Society.
**97**(2014), 78–106.

- Variations of the Ramanujan polynomials and remarks on $\zeta(2j+1)/\pi^{2j+1}$, with M. N. Lalin, Functiones et Approximatio Commentarii Math.
**48**(2013), no. 1, 91–111. - Two-dimensional series evaluations via Ramanujan’s elliptic functions, with B. C. Berndt and G. Lamb, Ramanujan Journal
**29**(2012), no. 1-3, 185–198. - On the Mahler measure of 1+X+1/X+Y+1/Y, with W. Zudilin, IMRN (2014), no.9, 2305–2326.
- From L-series of elliptic curves to Mahler measures, with W. Zudilin, Compositio Mathematica
**148**(2012), no. 2, 385–414. - Mahler measure and the WZ algorithm, with J. Guillera, Proceedings of the AMS
**143**(2015), 2873–2886. - Modular equations and lattice sums, with B. Yuttunan, in
*Computational and Analytical Mathematics*, Springer Proceedings in Mathematics (2013). - Hypergeometric formulas for lattice sums and Mahler measures, IMRN (2011), no.17, 4027–4058.
- An extension of Boyd’s $p$-adic algorithm for the harmonic series, Unpublished.
- New $_5F_4$ hypergeometric transformations, three-variable Mahler measures, and formulas for $1/\pi$, Ramanujan Journal
**18**(2009), no. 3, 327–340. - Functional equations for Mahler measures of genus-one curves, with M. N. Lalin, Algebra and Number Theory
**1**(2007), no. 1, 87–117. - A study of inverse trigonometric integrals associated with three-variable Mahler measures, and some related identities, Journal of Number Theory
**121**(2006), no. 2, 265–304. - Partial fractions expansions and identities for products of Bessel functions, Journal of Math. Physics
**46**(2005), 043509.

**Problems:**

- Problem 11620, American Mathematical Monthly, January 2012.

**Selected Talks:**

- From Ramanujan to the Bloch-Beilinson Conjectures, UMASS Amherst, January 2012.