Cassie Williams


Associate Professor, Pure Mathematics
Year Started at JMU: 2012
Contact Info

Research Description

I am trained in arithmetic geometry, a branch of number theory at the intersection with geometry. I am primarily interested in problems where we count geometric objects over finite fields or number fields, though I dabble in other areas of number theory. In addition, I do research on the effects of active learning on student learning.

  • PhD in Mathematics, 2012, Colorado State University, Fort Collins, CO
  • MS in Mathematics, 2008, Colorado State University, Fort Collins, CO
  • BA in Secondary Math Education, 2003, Adams State College, Alamosa, CO
Select Publications
  • "Local heuristics and an exact formula for abelian varieties of odd prime dimension over finite fields." (with J Gerhard.) New York Journal of Mathematics, 25 (2019).
  • "Investigating Student-Learning Gains from Video Lessons in a Flipped Calculus Course." (with J Siegfried.) In (Eds.) T. Fukawa-Connelly, N. Engelke Infante, M. Wawro, and S. Brown, Proceedings of the 19th Annual Conference on Research in Undergraduate Mathematics Education, 2016, Pittsburgh, Pennsylvania.
  • "Local heuristics and an exact formula for abelian surfaces over finite fields." (with J Achter.) Canadian Mathematical Bulletin, 58 (4) (2015).

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