Amanda Folsom
Associate Professor
Amherst College
Department of Mathematics and Statistics
Amherst, MA 01002
Amanda Folsom
Associate Professor
Amherst College
Department of Mathematics and Statistics
Amherst, MA 01002
Mathematics Outreach
I am either currently involved in, or have been involved with in recent years, the following mathematics outreach programs. Please feel free to contact me for more information.
• Summer Undergraduate Research in Number Theory at Amherst College
.
2018 (click here for more info.): I advised a small group of undergraduates from Amherst
College on an original research project in pure mathematics during the summer of 2018.
Students were invited to submit a formal application; funding is provided by
NSF CAREER Grant DMS-1449679, and Amherst College.
Student participants: Greg Carroll ’19, James Corbett ’19, Ellie Thieu ’19.
Results/Paper: G. Carroll ’19, J. Corbett ’19, A. Folsom, and E. Thieu ’19. Universal mock
theta functions as quantum Jacobi forms. Research in the Mathematical
Sciences, accepted for publication.
2017 (click here for more info.): I advised a small group of undergraduates from Amherst
College on an original research project in pure mathematics during the summer of 2017.
Students were invited to submit a formal application (avail. here); funding was provided by
NSF CAREER Grant DMS-1449679.
Student participants: Michael Barnett ’18, Jack Wesley ’18, Obinna Ukogu ’18, Hui Xu ‘18.
Results/Paper: “Quantum Jacobi forms and balanced unimodal sequences,” Journal of
Number Theory 186 (2018), 16-34.
Undergraduate Student Paper Session Award MAA-Mathfest 2017, Chicago IL
2015 (click here for more info.): I advised a small group of undergraduates from Amherst
College on an original research project in pure mathematics during the summer of 2015.
Students were invited to submit a formal application (avail. here); funding was provided by
NSF CAREER Grant DMS-1449679.
Student participants: Caleb Ki ‘17, Yen Nhi Truong Vu ‘17, and Bowen Yang ‘18.
Results/Paper: “Strange combinatorial quantum modular forms,” Journal of Number
Theory 170 (2017), 315-346.
Undergraduate Student Paper Session Award MAA-Mathfest 2015, Washington DC
Sam Payne and I co-created S.U.M.R.Y. at Yale (Summer Undergraduate Mathematics Research at Yale). We offered funded positions for ~twenty Yale students to work on carefully chosen open problems in the mathematical sciences, guided by a small group of graduate student mentors and postdoc coordinators, and directed by Sam and me. Further information is here, and a Yale Daily News article is here.
Students advised (by me): Youkow Homma ‘16, Benjamin Tong ‘17, and Jun Hwan Ryu ’16.
Results/Paper: “On a general class of non-squashing partitions,” Discrete Math. 229 (2016), 25pp.
Undergraduate Student Paper Session Award MAA-Mathfest 2014, Portland, OR
• E.Y.E. on Mathematics: Edgewood-Yale Educational Outreach Initiative
Building from my experience with the Yale National Initiative, I’ve developed a mathematics enrichment program at the Edgewood School in New Haven, CT, a K-8 public school, in partnership with the Edgewood principal and Mathematics faculty. Through creative mathematics projects, I led supplementary-to-classroom mathematics seminars every other week for 5th grade students, emphasizing the “3 pillars of mathematics” (after Roger Howe, Yale), essential for sustained and effective learning.
The YNI functions to strengthen teaching in public schools, and is an intensive and sustained collaboration among Yale faculty members and public school teachers from across the United States. In the summer of 2011, I co-led a seminar for teachers with Roger Howe on “Great Ideas in Mathematics”.
I served as a faculty advisor to Mathcounts Outreach, the Yale-New Haven chapter of the national Mathcounts program. Mathcounts functions to enhance achievement in middle school mathematics, through extracurricular activities, lessons, competitions, and fairs.
Ken Ono has run a National Science Foundation REU since 2003; for four summers 2007-10, I was an instructor at this REU (which at the time took place at U. Wisconsin-Madison). I advised small groups of undergraduate students from various U.S. institutions (and the occasional advanced high school student) towards writing their own original math research papers in Number Theory.