Jaclyn Lang

I am a third year in the mathematics Ph.D. program at UCLA. I am interested in algebraic number theory, especially Galois representations and modular forms. My adviser is Haruzo Hida. You can find a copy of my CV here.

UCLA number theory group

The number theory group at UCLA has two seminars: the participating seminar and the research seminar. Here are some notes I wrote for my talk on abelian varieties. They are based on sections four and five of Mumford's book.

Publications and Major Papers

Function fields with class number indivisible by a prime l, Acta Arithmetica, 150 (2011), 339-359.
With M. Daub, M. Merling, A. Pacelli, N. Pitiwan, and M. Rosen (pdf)
Two-Descent on the Jacobians of Hyperelliptic Curves, Part III Essay at the University of Cambridge (April 2010)
Properties of Class Groups of a Family of Cyclic Cubic Fields, thesis for MA at Bryn Mawr College (May 2009)

Funding I've received

NSF graduate research fellowship
Eugene V. Cota-Robles fellowship
Churchill Scholarship
Clare Booth Luce Scholarship

Math programs I have participated in:

Arizona Winter School 2013
Program in Mathematics for Young Scientists (PROMYS) I was a counselor in 2010.
Part III of the Mathematical Tripos at the University of Cambridge. While doing Part III I was a student at Churchill College. 2009-2010
Park City Mathematics Institute 2009
*Institute for Advanced Study Program for Women in Mathematics 2008
*Nebraska Conference for Undergraduate Women in Mathematics 2008
SMALL REU I was a participant in 2008. I worked with Allison Pacelli on a problem in algebraic number theory. Our paper can be found below.
*Summer Program for Women in Mathematics (SPWM) I was a participant in 2007 and a teaching assistant in 2012.

*Program specifically for women

Resouces for undergraduates and high school students

Here is a list of lots of cool opportunities for undergraduates to study math.
When I was a PROMYS counselor, I gave a lecture for high school students about p-adics. Here are the notes for that.
I gave a talk about absolute values and p-adic numbers to the high school group of the Los Angeles Math Circle. Here are the worksheets associated with that. This is related to the above set of notes.