Office: MSC W431
Office hours: Monday 11:30 AM - 1:00 PM, Mon./Wed./Fri. 1:50 - 2:20 PM (after class), and by appointment
Curriculum Vitae: Download CV (short version) here
I am a fourth-year graduate student at Emory University working under the supervision of Ken Ono.
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). My mathematical heroes are Euler and Ramanujan, and in the modern day George Andrews (and my awesome advisor Ken).
I completed my BS in Mathematics (2012) with departmental honors at the University of Kentucky. I am also a pop musician (lead singer of The Apples in stereo), composer, indie record producer/engineer (Neutral Milk Hotel, Olivia Tremor Control, Minders, Beulah, Cornelius, Yoko Ono, et al.), sound sculpture artist, and co-founder of The Elephant 6 Recording Co., a musical collective.
I have active interests in physics (special relativity, string theory, gravitation, acoustics), history of mathematics, philosophy, astronomy, poetry, electronics, visual and conceptual art, and experimental music.
Among a number of side projects, I have invented a "non-Pythagorean" musical scale based on logarithms, invented and composed for a mind-controlled synthesizer (the Teletron) using a circuit-bent Mattel MindFlex toy, composed a score based on prime numbers "Reverie in Prime Time Signatures" for a play by number theorist Andrew Granville, scored the Sieve of Eratosthenes (an ancient Greek method for finding prime numbers) for church bells, and designed a board game based on abstract algebra Al-Jabar with fellow University of Kentucky student Cyrus Hettle (download game rules here).
1). A non-Pythagorean musical scale based on logarithms. Proceedings of Bridges: Mathematics, Music, Art, Architecture, Culture Conference (June, 2012).
2). Uncovering Ramanujan's "lost" notebook: an oral history. Ramanujan Journal (December, 2012).
3). A "strange" vector-valued quantum modular form (co-author Larry Rolen). Archiv der Mathematik (July, 2013).
4). A golden product identity for e. Mathematics Magazine (April, 2014).
5). A golden connection (short expository article). Mathematics Magazine (April, 2014).
6). Combinatorial applications of Moebius inversion (co-author Marie Jameson). Proceedings of the AMS (September, 2014).
7). Encounter with the infinite (co-author Benjamin Phelan). The Believer (January/February, 2015).
8). Partition zeta functions. Research in Number Theory (December, 2016).
9). Title to be determined (with co-authors Ken Ono and Larry Rolen). Solicited for publication in Exploring the Riemann Zeta Function, 190 years from Riemann's Birth, Springer, editors: H. Montgomery, A. Nikeghbali, and M. Rassias.
10). Arithmetic of partitions and the q-bracket operator (Submitted for publication).
March 2014 - Patterns Etched in Sound, TEDx at Emory University, Atlanta, Georgia
October 2015 - Partition Zeta Functions, Combinatorics seminar, Pennsylvania State University, State College, Pennsylvania
December 2015 - Partition Zeta Functions, SASTRA University, Kumbakonam, India
"...The lecturer should lay his hands on the plough, the loom, the forge, the workshop, the mine, the sea, the stars, all things on earth or under heaven which may help to arouse the attention or interest the imagination." - J. J. Sylvester
MATH 111-004 - The Calculus I, MWF 1:00 - 1:50 PM (Spring 2016), MSC Building - Room W304 (Math 111 Syllabus)