**Jeremy Booher**

I am a postdoc in the Mathematics Department at the University of Arizona. I was a graduate student at Stanford University. My advisor was Brian Conrad.

I am interested in algebraic number theory, especially Galois representations, p-adic Hodge theory, and generalizations of Serre's conjecture.

My email is jeremybooher [AT] math.arizona.edu

My office is 315 in the math department.

**Research**

G-Valued Galois Deformation Rings when l ≠ p, with Stefan Patrikis.

Geometric Deformations of Orthogonal and Symplectic Galois Representations is the paper version of my thesis.

Evaluation of Cubic Twisted Kloosterman Sheaf Sums REU project with Anastassia Etropolski and Amanda Hittson. In International Journal of Number Theory, 6 (2010), pages 1349-1365.

Expository writing including my senior thesis, Part III essay, and notes for many of the talks I have given.

Warning: some of these come from the summers I spent as a counselor at PROMYS, and so use non-standard notation: taking a quotient of a ring by a principal ideal is denoted by a subscript. In particular, Z_{p} is the integers modulo p, not the p-adic integers. Furthermore, the group of units in Z_{p} is denoted by U_{p}.

**Teaching**

Math 313 (Linear Algebra), Fall 2017.

Math 446/546 (Theory of Numbers), Spring 2017.

Math 129 (Calculus II), Spring 2017.

Math 125 (Calculus I), Fall 2016.

I was a graduate student TA at Stanford. During the summers, I worked at PROMYS (2007, 2008, 2010, 2011) and SUMAC (2013, 2014, 2015, 2016), and helped with SURIM (2012).

**Seminars**

I am organizing the Algebra and Number Theory Seminar at the University of Arizona.