# Jeffrey Hatley

## Welcome!

I am currently a visiting assistant professor of mathematics at Union College in Schenectady, NY. My research interests are in number theory; in particular, I study Iwasawa theory and p-adic Galois representations associated to modular forms. You can use the links on the left (or simply scroll down) to find information about my research and teaching, as well as my CV.

When I'm not doing math, I'm usually bouldering, watching Philadelphia sports teams, or spending time with llamas.

## Information for my students

While some very general information about my teaching can be found below, if you are currently taking a class with me, you can find all of our course materials on Nexus. If you're finding our class difficult (and even if you're not), I highly recommend that you read this!

If you would like me to write a letter of recommendation for you, please see these guidelines.

I am always open to taking on students for independent study courses and undergraduate research. If this is something you're interested in, get in touch with me!

## Research

My Google Scholar Profile

(Note that preprints may differ from the final published version.)

[9] Torsion subgroups of rational elliptic curves over the compositum of all extensions of generalized $A_4$-type (with with Harris B. Daniels and Maarten Derickx), in preparation.

[8] Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms (with Antonio Lei), preprint. PDF

[7] Arithmetic properties of signed Selmer groups at nonordinary primes (with Antonio Lei), preprint. PDF

[6] Rank parity for congruent supersingular elliptic curves, Proceedings of the AMS, Vol. 145 (2017), 3775-3786. PDF

[5] Modular forms of arbitrary even weight with no exceptional primes, Journal of Number Theory, Vol. 166 (2016), 158-165. PDF

[4] Elliptic curves with maximally disjoint division fields (with Harris B. Daniels and James Ricci), Acta Arithmetica, Vol. 175, No. 3 (2016), 211-223. PDF

[3] Obstruction criteria for modular deformation problems, International Journal of Number Theory, Vol. 12, No. 1 (2016), 273-285. PDF

[2] The Probability of Relatively Prime Polynomials in $\mathbf{Z}_{p^k}[x]$ (with Thomas R. Hagedorn), Involve, a Journal of Mathematics, Vol. 3, No. 2 (2010), 223-232. PDF

[1] Numerical Evidence on the Uniform Distribution of Power Residues for Elliptic Curves (with Amanda Hittson), Involve, a Journal of Mathematics, Vol. 2, No. 3 (2009), 305-321. PDF

[0] My PhD thesis, University of Massachusetts Amherst (2015)

Mail:
Union College
Bailey Hall 202