Jaclyn Lang
jaclynlang[at]math[dot]ucla[dot]edu
I graduated with a Ph.D. in mathematics from UCLA in June 2016 under the advisement of Haruzo Hida. I am now a postdoc at University Paris 13 working with Jacques Tilouine with the support of an NSF Mathematical Sciences Postdoctoral Research Fellowship and a Fulbright U.S. Student Grant. I am interested in algebraic number theory, especially Galois representations, modular forms, and elliptic curves. You can find a copy of my CV here.
Publications and Preprints
- On the image of the Galois representation associated to a non-CM Hida family, Algebra and Number Theory, Vol. 10, No. 1 (2016) 155-194. (published version, slides)
- Shadow lines in the arithmetic of elliptic curves, to appear in Women in Numbers 3: Proceedings
With J. Balakrishnan, M. Çiperiani, B. Mirza, and R. Newton (most recent version, pdf)
- Function fields with class number indivisible by a prime l, Acta Arithmetica, Vol. 150 (2011), 339-359.
With M. Daub, M. Merling, A. Pacelli, N. Pitiwan, and M. Rosen (pdf)
Funding I've received
Math programs I have participated in:
*Program specifically for women
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.
Other writings
Here are majors papers I've written for various degrees. I provide them mainly as samples for current students in similar programs.
- Two-Descent on the Jacobians of Hyperelliptic Curves, Part III essay at the University of Cambridge (April 2010); under the supervision of T. Fischer
- Properties of Class Groups of a Family of Cyclic Cubic Fields, thesis for MA at Bryn Mawr College (May 2009); under the supervision of H. G. Grundman
Resources for undergraduate and high school students
- Here is a list of lots of cool opportunities for undergraduates to study math. Disclaimer: I wrote this shortly after I was an undergrad and so some of the programs may no longer exist.
- 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.
Teaching
- I do not tutor. If you are looking for a UCLA graduate student to tutor you, please see this list.
- Winter 2014 110B: The old course webpage can be found here.
- Fall 2013 MATH 31B: The old course webpage can be found here. If you want to view your final exam, please visit the Student Services Office of the math department, located on the sixth floor of the math sciences building.
Worksheet from the first day of discussion section
Website last updated: 8/11/2016