I am an assistant professor in the Department of Mathematics & Statistics at Swarthmore College.
During 2025-2026 I'll be teaching Math 27: Linear Algebra and Math 64: Introduction to Topology in the fall and Math 20: Mathematics and Social Justice and Math 104: Topology II in the spring.
I've recently taught Math 20: Mathematics and Social Justice (S'22, S'24), Math 27: Linear Algebra (F'21, F'22, F'23 x 2), Math 67: Introduction to Modern Algebra (S'23 x 2), Math 69: Combinatorics (F'22), Math 104: Topology (S'24, 2-credit seminar), and a 4-student directed reading course in knot theory (S'23).
I do research in low-dimensional topology, exploring what knots and surfaces can tell us about the strange world of 4-dimensional topology. Find out more here!
I also maintain a list of resources on ethics in mathematics, first created as I developed a course in Spring 2021. A description of that course, A Mini-seminar: Teaching Ethics in Mathematics in an Hour a Week, appeared in the Journal of Humanistic Mathematics as part of their special issue on ethics in math.
My CV, up to date as of August 2025, is available here.
I grew up outside of Washington, DC in Arlington, VA, where for seven years I attended H-B Woodlawn, an alternative public school program, graduating in 2008.
I then attended Pomona College in Claremont, CA for four years, spending spring 2011 at the Budapest Semester in Mathematics program in Budapest, Hungary. I graduated in May 2012 after doing a senior thesis with Erica Flapan.
I received my PhD in May 2018 from the University of Texas at Austin, where my advisor was Cameron Gordon. During my PhD, I spent fall 2016 participating in the Knot Concordance and 4-Manifolds group of the Junior Trimester in Topology at the Hausdorff Institute of Bonn, Germany.
I then spent 3 years as a postdoc/ G.C. Evans Instructor at Rice University in Houston, Texas, before starting at Swarthmore in fall 2021.
You can find my papers on the arXiv and find me in my office, Science Center 150. My email is amille11@swarthmore.edu and my address is Swarthmore College/ Department of Mathematics and Statistics/ 500 College Avenue/ Swarthmore, PA 19081/ USA.