Amanda L. Folsom (born 1979)[1] is an American mathematician specializing in analytic number theory and its applications in combinatorics. She is a professor of mathematics at Amherst College, where she chairs the department of mathematics and statistics.[2]
With Ken Ono, Jan Hendrik Bruinier, and Zach Kent, Folsom participated in the discovery of a fractal structure in the partition function that allows any particular value of the function to be computed exactly by a finite formula.[6][7]
Folsom and Ono are the namesakes of the Folsom–Ono grid, constructed from two sequences of Poincaré series that define weak harmonic Maass forms and modular forms. The coefficients of these series can be arranged in a two-dimensional grid, and in a 2008 paper, Folsom and Ono conjectured that the values in this grid are all integers. This conjecture was later proven by others.[8][9]
Folsom is also known for her research with Ono and R. C. Rhoades refining results of Srinivasa Ramanujanonmock modular forms.[10]
With Kathrin Bringmann, Ken Ono, and Larry Rolen, Folsom is one of the authors of the book Harmonic Maass Forms and Mock Modular Forms: Theory and Applications (Colloquium Publications 64, American Mathematical Society, 2018).[11]
Folsom is the winner of the 2021 Mary P. Dolciani Prize for Excellence in Research, given by the American Mathematical Society. The award was for "her outstanding record of research in analytic and algebraic number theory, with applications to combinatorics and Lie theory, for her work with undergraduate students, and for her service to the profession, including her work to promote success of women in mathematics".[12]
^Guerzhoy, P. (2009), "Rationality of the Folsom-Ono grid", Proceedings of the American Mathematical Society, 137 (5): 1569–1577, doi:10.1090/S0002-9939-08-09681-0, MR2470814
^Zwegers, Sander (2009), "The Folsom-Ono grid contains only integers", Proceedings of the American Mathematical Society, 137 (5): 1579–1584, doi:10.1090/S0002-9939-08-09684-6, MR2470815
