Jen Berg

About

As of Fall 2016, I am an RTG Lovett Instructor at Rice University. My new website is here .

Research

I am interested in algebraic number theory and arithmetic geometry. In particular, I work on obstructions to the Hasse principle. My current projects involve studying Brauer-Manin obstructions to integral and rational points on certain families of surfaces and higher dimensional varieties. My advisor is Felipe Voloch.

Upcoming and Recent Travel

  • Apr 2-3, 2016. UT Austin. TAGS 2016.
  • Mar 11-16, 2016. University of Arizona. Arizona Winter School: Analytic Methods in Arithmetic Geometry.
  • Jan 6-9, 2016. Joint Mathematics Meetings: AMS Special Session on Number Theory and Cryptography. Seattle, WA.
  • Nov 19,2015. Colorado State University, FRAGMENT Seminar. Fort Collins, CO.
  • Sept 4-9, 2015. Women in Sage Days 6. La Jolla, CA.
  • May 23-31, 2015. Rational Points. IMPA, Rio de Janiero, Brazil.
  • Apr 17-19, 2015. AMS Sectional Meeting, Las Vegas, Nevada. Special Session on Arithmetic Geometry.

Publications

  1. Insufficiency of the Brauer-Manin Obstruction for Enriques Surfaces, with F. Balestrieri, M. Manes, J. Park, and B. Viray. Submitted for publication, Jan 20, 2015.
  2. Congruences for Ramanujan's f and Omega Functions Via Generalized Borcherds Products,with A. Castillo, R. Grizzard, V. Kala, R. Moy, C. Wang. Accepted for publication in The Ramanujan Journal, August 2013.
  3. p-groups Have Unbounded Realization Multiplicity, with Andrew Schultz. Accepted for publication in the Proceedings of the American Mathematical Society, August 2012.

In Preparation

  1. Obstructions to the integral Hasse principal for generalized affine Chatelet surfaces

Contact

  • Office: RLM 9.146
  • Office Hours: By appointment only.
  • Email: jberg [at] math [dot] utexas [dot] edu

Teaching

This semester

  • This year (2015-16) I am the Learning Assistant Coordinator. Info about the calculus lab can be found here.

Previous Semesters

  • Spring 2014: Won Natural Sciences Council TA Award!
  • Spring 2014: Graded Prelim Algebra M380D for Felipe Voloch.
  • Fall 2013: SI for M408N for Prof. Anna Spice.
  • Spring 2013: M408C for Prof. John Dollard
  • Fall 2012: M305G for Dr. Amanda Hager, Graded for M373K for Sean Keel
  • Spring 2012: M408D for Prof. Ray Heitmann
  • Fall 2011: M408C for Prof. Kathy Davis
  • Spring 2011: On departmental fellowship.
  • Fall 2010: M408K for Dr. Elif Seckin

In the summer of 2012 I worked as a teaching assistant at the Summer Program for Women in Math (SPWM) at George Washington University. If you are an undergraduate woman interested in math, check it out!

Photos

I've been fortunate enough to travel to several countries as a graduate student including Italy, Brazil, and Canada. Below are some photos from these trips, plus photos from my two main hobbies: baking and painting.