As of the academic year 2026-2027, I am a Lecturer at Binghamton University. My current research interests are in dynamics on the moduli space of Riemann surfaces, algebraic and arithmetic geometry, and the arithmetic of noncongruence modular forms.
Email: jabourached@binghamton.edu
Lecturer (Binghamton University), 2026 - present.
Robert Riley Visiting Assistant Professor, 2023 - 2026.
PhD in Mathematics, Purdue University, 2016-2023.
Thesis: COUNTING CLOSED GEODESICS IN ORBIT CLOSURES (purdue.edu)
M.S. in Mathematics, Kansas State University, 2014-2016.
B.S. in Mathematics, Kansas State University, 2011-2014.
John Rached. arXiv:2207.00075 (Thesis)
John Rached. arXiv:2406.19527. Submitted.
joint with Fred Benirschke and Ben Dozier. arXiv:2412.06765. To appear: Journal of the European Mathematical Society
John Rached. arXiv:2609.28514. Submitted.
John Rached.