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Robert Schneider

Blurred image of the arch used as background for stylistic purposes.
Lecturer (former)

"The lecturer should lay [their] 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

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, arithmetic density). 

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

I have completed UGA's Certificate for Diversity and Inclusivity (CDI) and LGBTQIA+ Safe Space training.

My Erdos-Bacon-Sabbath (EBS) number is 6 = 2 + 2 + 2.

Please reach out to me if you have questions and/or interest and/or work in mathematics, music, or other fields you would like to share.

*As of August, 2022, I have accepted an Assistant Professor position at Michigan Technological University. During my wonderful four years as a Lecturer at UGA, I worked with the Mathematics Department to establish our Undergraduate Research Program, served as URP Coordinator and established our annual SUMR conference; I contributed to departmental efforts that led to the naming of the McBay Science Library; I sponsored a number of student research labs including the Computational and Experimental Number Theory group and Mathematical Music Theory group, that led to many successful student projects, including seven funded CURO Research Assistantships; I co-advised two M.S. theses, in Computer Science and Artificial Intelligence; and I produced numerous publications and conference presentations in collaboration with UGA undergraduate and graduate students. I remain interested to hear from former students, as well as new contacts. Please reach out to me at: 


    Research Interests:

    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, arithmetic density). 

    Other research interests include physics (statistical physics, acoustics), mathematical music theory, computational number theory, computational chemistry, 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). 
    • Sequentially congruent partitions and related bijections (co-author Maxwell Schneider), Annals of Combinatorics (2019)
    • Digit sums and generating functions (co-author Maxwell Schneider), Ramanujan Journal (2020)

    • Journal refereeing: merge with the collective mind (co-author Ken Ono), Notices of the American Mathematical Society (2020) 

    • We're still untangling Ramanujan's mathematics 100 years after he died (co-author Ken Ono), New Scientist (2020) 

    • The product of parts or “norm” of a partition (co-author Andrew V. Sills), Proceedings of the Integers Conference 2018 (2020)

    • Analysis and combinatorics of partition zeta functions (co-author Andrew V. Sills), International Journal of Number Theory (2020)

    • Sequentially congruent partitions and partitions into squares (co-authors James A. Sellers and Ian Wagner), Ramanujan Journal (2021)

    • Nuclear partitions and a formula for p(n), Journal of the Ramanujan Mathematical Society (2021)

    • Partition Eisenstein series and semi-modular forms (co-author Matthew Just), Research in Number Theory (2021)

    • Partition-theoretic formulas for arithmetic densities II (co-authors Ken Ono and Ian Wagner), Hardy-Ramanujan Journal (2021)

    • Infinite series for pi / 3 and other identities, Parabola (2022)

    • A "supernormal" partition statistic (co-authors Madeline Locus Dawsey and Matthew Just), Journal of Number Theory (2022)

    • Combinatorial formulaS for arithmetic density (co-author A. V. Sills), INTEGERS (2022)

    • Semi-modular forms from Fibonacci-Eisenstein series (co-author A. P. Akande), Ramanujan Journal (2022)

    • Computational study of non-unitary partitions (co-authors A. P. Akande, T. Genao, S. Haag, M. D. Hendon, N. Pulagam and A. V. Sills), Under revision (2022)

    • Partition-theoretic Abelian theorems, Under revision (2022)


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

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

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

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