Jaclyn Lang

E-mail: lang[at]math[dot]univ-paris13[dot]fr
Office: D418
Address: Département de Mathématiques
LAGA
Institute Galilée
Université Paris 13
99 av. J.-B. Clément
93430 Villetaneuse
France

I am on the academic job market during the 2019-2020 academic year! I am currently a postdoc at Université Paris 13 working with Jacques Tilouine with the support of an NSF Mathematical Sciences Postdoctoral Research Fellowship. I graduated with a Ph.D. in mathematics from UCLA in June 2016 under the supervision of Haruzo Hida. I am interested in algebraic number theory, especially Galois representations, modular forms, elliptic curves, and motives. You can find a copy of my CV here.

Publications and Preprints

Big images of two-dimensional pseudorepresentations, (pdf; arXiv; Oberwolfach report; slides)
With A. Conti, A. Medvedovsky
A inf is infinite dimensional, (pdf; arXiv)
With J. Ludwig
Chow motives associated to certain algebraic Hecke characters, Transactions of the American Mathematical Society, Series B. Vol. 5, (2018) 102--124. (published version; arXiv)
With L. Flapan
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; arXiv; slides; poster)
Shadow lines in the arithmetic of elliptic curves, Directions in number theory; Assoc. Women in Math. Ser., 3, Springer, (2016), 33-55. (published version; arXiv)
With J. Balakrishnan, M. Çiperiani, B. Mirza, R. Newton
Function fields with class number indivisible by a prime l, Acta Arithmetica, Vol. 150 (2011), 339-359. (published version; arXiv)
With M. Daub, M. Merling, A. Pacelli, N. Pitiwan, M. Rosen

Funding I've received

Fulbright U.S. Student Program Grant
NSF Mathematical Sciences Postdoctoral Research Fellowship
Charles E. and Sue K. Young Graduate Student Award
NSF graduate research fellowship
Eugene V. Cota-Robles fellowship
Churchill Scholarship
Clare Booth Luce Scholarship

Math programs I have participated in:

*Women in Numbers -- Europe: 3 2019
MSRI Graduate Summer School 2017; Automorphic forms and the Langlands program
Teaching assistant; (unofficial website)
CRM Graduate Summer School 2014, Counting Arithmetic Objects
*Women in Numbers: 3 2014
MSRI Graduate Summer School 2013, New Geometric Techniques in Number Theory
Arizona Winter School 2013, 2014
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 above.
*Summer Program for Women in Mathematics (SPWM) I was a participant in 2007 and a teaching assistant in 2012.

Other writings

Images of Galois representations associated to p-adic families of modular forms, PhD dissertation at UCLA (June 2016); under the supervision of Haruzo Hida
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.