I am currently a postdoctoral fellow at the Instituto de Matemáticas, Unidad Cuernavaca of the Universidad Autónoma Nacional de México, working under Alberto Verjovsky. I hold a PhD in pure mathematics from the The Graduate Center, City University of New York, granted in June 2016.

I’m also an instructor and course designer for the Johns Hopkins Center for Talented Youth summer program, where I get to teach young students about set theory, logic, algebra, geometry, topology, analysis, dynamical systems and more via games, hands-on models and awesome conversations. During my doctorate I was a Quantitative Reasoning Fellow at Bronx Community College, where I designed lessons and worked with interdisciplinary faculty on math remediation. Prior to that I taught math for 5 years at Hunter College, and spent many more years tutoring.

My mathematical specialty is in applications of algebraic number theory to geometric topology, especially the study of manifolds using arithmetic properties of quaternion algebras. An important part of my research is making visualizable models of previously esoteric concepts, allowing me to discuss them with students and non-mathematicians. I find that this informs the topics from additional (and often unexpected) perspectives, and pleasantly blurs the (imaginary) lines between innovation, teaching and learning.

a cusp section of the Hilbert-Blumenthal surface over Q(√3) (as per this article)

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Research Statement

Teaching Statement

email: josephanthonyquinn [at] gmail.com