Amanda Folsom
Associate Professor
Amherst College
Department of Mathematics and Statistics
Amherst, MA 01002
Research and Thesis Students
Here is a list of my current and former research and thesis students since 2014 (at Yale and Amherst), the work they completed under my supervision, and their career path after graduation.
Yale University
• 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
• 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, Dallas, TX.)
•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), submitted for publication.
• Obinna Ukogu, Amherst College, undergraduate research student 2017.
(Post-graduation position: finance, NYC.)
•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), submitted for publication.
•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.
(Expected graduation: 2019)
•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.
(Expected graduation: 2019)
•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.
(Expected graduation: 2019)
•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.