Lecturer

Contact Information

Office:
649-B Boyd GSRC

I am a Ph.D. graduate of Emory University (2018) having worked under the supervision of Ken Ono. My research interests lie primarily in number theory and combinatorics, in particular the theory of partitions, special functions in the orbit of modular forms (q-series, mock theta functions, quantum modular forms), and analytic number theory (prime distribution, Riemann zeta function, arithmetic functions). 

Other active interests include physics (statistical physics, acoustics), computational chemistry, mathematical music theory, knot theory, history of mathematics, ethnomathematics, philosophy, poetry, astronomy, visual and conceptual art, sound sculpture, electronics -- and sharing the beauty of mathematics with students.

I am also an indie-pop musician, composer of instrumental and experimental music, recording studio producer/engineer, and co-founder of the Elephant 6 Recording Co., a collective of musicians and artists.

 

Research Interests:

My research interests lie primarily in number theory and combinatorics, in particular the theory of integer partitions, special functions in the orbit of modular forms (q-series, basic hypergeometric series, mock theta functions, quantum modular forms), and analytic number theory (prime distribution, Riemann zeta function and other L-functions). 

Other research interests include physics (statistical physics, acoustics), computational chemistry, mathematical music theory, knot theory, history of mathematics and philosophy.

Selected Publications:
  • A non-Pythagorean musical scale based on logarithms, Proceedings of Bridges: Mathematics, Music, Art, Architecture, Culture Conference (2012)

  • Uncovering Ramanujan’s “lost” notebook: An oral history, Ramanujan Journal (2012)

  • A “strange” vector-valued quantum modular form (co-author Larry Rolen), Archiv der Mathematik (2013)

  • A golden product identity for e, Mathematics Magazine (2014)

  • A golden connection (short expository article), Mathematics Magazine (2014)

  • Combinatorial applications of Moebius inversion (co-author Marie Jameson), Proceedings of the American Mathematical Society (2014)

  • Encounter with the infinite (co-author Benjamin Phelan), The Believer (2015), reprinted in Namarupa: Categories of Indian Thought (2015)

  • Why Ramanujan Matters (co-author Ken Ono), Sloan Science and Film (2016), reprinted in Ramanujan Mathematical Society Newsletter (2016), reprinted in Asia Pacific Mathematics News (2016)

  • Partition zeta functions, Research in Number Theory (2016)

  • Fibonacci numbers and the golden ratio, Parabola (2016)

  • Arithmetic of partitions and the q-bracket operator, Proceedings of the American Mathematical Society (2017)

  • Explorations in the theory of partition zeta functions (co-authors Ken Ono and Larry Rolen), Exploring the Riemann Zeta Function, 190 years from Riemann’s Birth, editors: H. Montgomery, A. Nikeghbali, M. Rassias, Springer (2017)

  • Extracting aggregation free energies of mixed clusters from simulations of small systems: application to ionic surfactant micelles (co-authors Xiaokun Zhang, Lara Patel, Olivia Beckwith, Christopher Weeden, James Kindt), Journal of Chemical Theory and Computation (2017)

  • Partition-theoretic formulas for arithmetic densities (co-authors Ken Ono and Ian Wagner), Proceedings of Number Theory in Honor of Krishna Alladi’s 60th Birthday, Springer (2018)

  • Jacobi’s triple product, mock theta functions, unimodal sequences and the q-bracket, International Journal of Number Theory (2018)

  • Alternating “strange” functions, Ramanujan Journal (2019)

  • The music of Prime Suspects (article and musical score), in Prime Suspects: The Anatomy of Integers and Permutations, authors: A. Granville, J. Granville, R. J. Lewis, Princeton University Press (2019). 
  • Digit sums and generating functions (co-author Maxwell Schneider), Ramanujan Journal (To appear)

  • Sequentially congruent partitions and related bijections (co-author Maxwell Schneider), Annals of Combinatorics Special Issue in Honor of G. E. Andrews' 80th Birthday (To appear)

  • The product of parts or "norm" of a partition (co-author A. V. Sills), Submitted for publication (April, 2019)

  • Analysis and combinatorics of partition zeta functions (co-author A. V. Sills), Submitted for publication (July, 2019)

Education:

Ph.D. in Mathematics (Emory University, 2018)

M.S. in Mathematics (Emory University, 2016) 

B.S. in Mathematics (University of Kentucky, 2012)

Courses Regularly Taught: