Chair of Mathematics
Bicentennial Professor of Mathematics
Amherst CollegeDepartment of Mathematics and Statistics
Amherst, MA 01002
Yale University (2010-2014)
Sam Kimport,Yale University, Ph.D. student 2010-2015
(Post-graduation position: Stanford University, Lecturer in Mathematics.)
Ph.D. Thesis: “Quantum modular forms, mock modular forms, and partial theta functions,” Yale University, 2015.
Graded dimensions of principal subspaces and modular Andrews-Gordon series, (by K. Bringmann, C. Calinescu, A. Folsom, and S. Kimport). Communications in Contemporary Mathematics 16 no. 4 (2014), 1350050 [20 pages].
Mock modular forms and singular combinatorial series, (by A. Folsom and S. Kimport). Acta Arithmetica 159.3 (2013), 257-297.
Quantum modular forms and singular combinatorial series with distinct roots of unity, (by A. Folsom, M-J Jang, S. Kimport, and H. Swisher). Springer Research Directions in Number Theory: Women in Numbers IV, accepted for publication.
Youkow Homma, Yale University, undergraduate research student 2014.
(Post-graduation position: Stanford University, M.S. student in Computational and Mathematical Engineering.)
On a general class of nonsquashing partitions, (by A. Folsom, Y. Homma, J H Ryu, and B. Tong). Discrete Mathematics 339 iss. 5 (2016), 1482-1506.
Jun Hwan (Josh) Ryu, Yale University, undergraduate research student 2014.
(Post-graduation position: Stanford University, Ph.D. student in Psychology.)
On a general class of nonsquashing partitions, (by A. Folsom, Y. Homma, J H Ryu, and B. Tong). Discrete Mathematics 339 iss. 5 (2016), 1482-1506.
Benjamin Tong, Yale University, undergraduate research student 2014.
(Post-graduation position: Hudson River Trading, NYC.)
On a general class of nonsquashing partitions, (by A. Folsom, Y. Homma, J H Ryu, and B. Tong). Discrete Mathematics 339 iss. 5 (2016), 1482-1506.
Amherst College (2014 - present; roughly in chronological order)
Edward (Eddie) J. Kim,Amherst College, undergraduate thesis student 2014-15.
(Post-graduation position: Harvard University, Ph.D. student in the Graduate School of Education.)
Undergraduate Thesis: “An application of the Circle Method in Analytic Number Theory to the Partition Function,” Amherst College, 2015.
Caleb Ki, Amherst College, undergraduate research student 2015.
(Post-graduation position: University of Michigan, Ph.D. student in Statistics.)
Strange combinatorial quantum modular forms, (by A. Folsom, C. Ki, Y.N. Truong Vu, and B. Yang) Journal of Number Theory 170 (2017), 315-346.
Yen Nhi (Nhi) Truong Vu, Amherst College, undergraduate research & thesis student 2015-16.
(Post-graduation position: Stanford University, Ph.D. student in Mathematics.)
Strange combinatorial quantum modular forms, (by A. Folsom, C. Ki, Y.N. Truong Vu, and B. Yang) Journal of Number Theory 170 (2017), 315-346.
Undergraduate Thesis: “On the modular transformations and asymptotic behaviors of mock modular forms,” Amherst College, 2016.
Bowen Yang, Amherst College, undergraduate research student 2015.
(Post-graduation position: Caltech, Ph.D. student in Mathematics.)
Strange combinatorial quantum modular forms, (by A. Folsom, C. Ki, Y.N. Truong Vu, and B. Yang) Journal of Number Theory 170 (2017), 315-346.
Michael Barnett, Amherst College, undergraduate research student 2017-18.
(Post-graduation position: ThoughtWorks)
Quantum Jacobi forms and balanced unimodal sequences, (by M. Barnett, A. Folsom, O. Ukogu, W.J. Wesley, and H. Xu) Journal of Number Theory 186 (2018), 16-34.
Rank generating functions for odd-balanced unimodal sequences, quantum Jacobi forms and mock Jacobi forms (by M. Barnett, A. Folsom, and W.J. Wesley), Journal of the Australian Mathematical Society 109 (2020), 157-175.
Obinna Ukogu, Amherst College, undergraduate research student 2017.
(Current position: University of Washington, graduate student in Mathematics)
Quantum Jacobi forms and balanced unimodal sequences, (by M. Barnett, A. Folsom, O. Ukogu, W.J. Wesley, and H. Xu) Journal of Number Theory 186 (2018), 16-34.
William (Jack) Wesley, Amherst College, undergraduate research & thesis student 2017-18.
(Post-graduation position: University of California, Davis, Ph.D. student in Mathematics.)
Quantum Jacobi forms and balanced unimodal sequences, (by M. Barnett, A. Folsom, O. Ukogu, W.J. Wesley, and H. Xu) Journal of Number Theory 186 (2018), 16-34.
Rank generating functions for odd-balanced unimodal sequences, quantum Jacobi forms and mock Jacobi forms (by M. Barnett, A. Folsom, and W.J. Wesley), Journal of the Australian Mathematical Society 109 (2020), 157-175.
Undergraduate Thesis: “Combinatorial Proofs of Ramanujan’s Congruences,” Amherst College, 2018.
Hui Xu, Amherst College, undergraduate research student 2017.
(Post-graduation position: Stanford University, Ph.D. student in Statistics.)
Quantum Jacobi forms and balanced unimodal sequences, (by M. Barnett, A. Folsom, O. Ukogu, W.J. Wesley, and H. Xu) Journal of Number Theory 186 (2018), 16-34.
Gregory Carroll, Amherst College, undergraduate research student 2018.
Universal mock theta functions as quantum Jacobi forms, (by G. Carroll, J. Corbett, A. Folsom, and E. Thieu) Research in the Mathematical Sciences 6:6 (2019), 15pp.
James Corbett, Amherst College, undergraduate research student 2018.
(Post-graduation position: Lawrence Livermore National Laboratory)
Universal mock theta functions as quantum Jacobi forms, (by G. Carroll, J. Corbett, A. Folsom, and E. Thieu) Research in the Mathematical Sciences 6:6 (2019), 15pp.
Uyen (Ellie) Thieu, Amherst College, undergraduate research student 2018.
(Post-graduation position: University of British Columbia, graduate student in Mathematics)
Universal mock theta functions as quantum Jacobi forms, (by G. Carroll, J. Corbett, A. Folsom, and E. Thieu) Research in the Mathematical Sciences 6:6 (2019), 15pp.
Justin Warring, Amherst College, undergraduate thesis student 2019 & 2020.
Elizabeth Pratt, Amherst College, undergraduate research student 2020.
(Post-graduation position: UC Berkeley, Ph.D. student in Mathematics)
Noah Solomon, Amherst College, undergraduate research student 2020.
(Post-graduation position: Georgia Tech, Ph.D. student in Mathematics)
Andrew R. Tawfeek, Amherst College, undergraduate research student 2020.
(Post-graduation position: University of Washington, Ph.D. student in Mathematics)
Anna Dietrich, Amherst College, undergraduate research student 2021.
(Post-graduation position: Brown University, Ph.D. student in Mathematics)
Keane Ng, Amherst College, undergraduate research student 2021.
(Post-graduation position: Jane Street Capital)
Chloe Stewart, Amherst College, undergraduate research student 2021.
(Post-graduation position: Colorado State University, Ph.D. student in Mathematics)
Shixiong (Leo) Xu, Amherst College, undergraduate research student 2021.
Thomas Meyer, Amherst College, undergraduate thesis student 2022-23.
(Post-graduation position: University of Minnesota, Ph.D. student in Mathematics)
David Metacarpa, Amherst College, undergraduate research student 2023.
Wenche Tseng, Amherst College, undergraduate research student 2023.
Kathy Xing, Amherst College, undergraduate thesis student 2023-24.