**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**

Geometric Deformations of Orthogonal and Symplectic Galois Representations is the paper version of my thesis. It produces geometric deformations of symplectic and orthogonal Galois representations using a generalization of Ramakrishna's lifting technique.

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 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.