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Welcome. I’m Jay Daigle, an Assistant Professor at Occidental College; I am currently (Fall 2017) teaching Math 400: Senior Seminar (Cryptology),  Math 322: Number Theory, and Math 114: Calculus I (Experienced).  I received my Ph.D. in Mathematics at Caltech, studying number theory under Matthias Flach, in June 2014.  Prior to that I received a Masters of Advanced Study in Mathematics (Tripos part III) at Cambridge University in June 2009 and a B.A. in math from Pomona College in May 2008.

My primary research interests are in number theory and arithmetic geometry.  My thesis research used $(\phi, \Gamma)$-modules to study special values of $L$-functions and the equivariant Tamagawa number conjecture, which relates to both the Riemann zeta function and the Birch and Swinnerton-Dyer conjecture on elliptic curves.  You can find a copy of my thesis work here, and a preprint of my paper with Matthias Flach is here.

I am currently most interested in the properties of supercharacters and their applications to number theory.  This is a new area with connections to representation theory and number theory, and presents a number of interesting problems which are accessible to undergraduate researchers and produce interesting graphical representations.  I also hope to some day return to the study of non-unique factorization problems in numerical monoids.

In my free time, I participate in several forms of social partnered dancing, and used to compete in and coach ballroom dance.

I can be reached by email at gdaigle at oxy dot edu, or at math at jaydaigle dot net.