About Me
I am a third year graduate student in mathematics at UT Austin. I received my undergraduate degree at the University of Illinois in Urbana Champaign. I grew up in Chicago, IL, which is still one of my favorite cities in the country.
Teaching
This semester I am teaching:
- M408C (Accelerated
Calc I) for Prof. John Dollard.
- Worksheets:
- Worksheet 2
- Worksheet 3
- Worksheet 4
- Worksheet 5
- Worksheet 6
- Worksheet 7
- Worksheet 8
- Worksheet 9
- Worksheet 10
- Worksheet 11
- Worksheet 12
- Worksheet 13
- Worksheet 14
- Worksheet 15
- Worksheet 16 (problem 3 answers should all have a +C)
- Worksheet 17 (Problem 4 has two correct answers, B and D. Don't worry, this won't happen on the exam!) Worksheet 18
In previous semesters I have taught:
- 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
Research
I am interested in algebraic number theory and algebraic geometry. In particular, the Brauer Manin obstruction to the Hasse principle. My advisor is Felipe Voloch.
- Here is my CV
- I am currently organizing the Junior Number Theory Seminar at UT Austin: 2pm on Tuesdays in RLM 9.166
- I
recently attended the 2013 Arizona Winter School and worked in one of
Ken Ono's project groups. We just submitted a draft of our paper that resulted from our work there (see below).
Papers
- Congruences for Ramanujan's f and Omega Functions Via Generalized Borcherds Products, with A. Castillo, R. Grizzard, V. Kala, R. Moy, C. Wang. Submitted for publication April, 2013.
- p-groups Have Unbounded Realization Multiplicity, with Andrew Schultz. Accepted for publication in the Proceedings of the American Mathematical Society, August 2012.
Contact
- Office: RLM 9.146
- Office Hours: Mon/Wed 1:30-3:00
- Email: jberg at math dot utexas dot edu
Links
- UT Math
- Women in Numbers
- A list of number theory conferences
- Arizona Winter School
- My undergraduate advisor: Andrew Schultz
- Samsung Austin Semiconductor
- My favorite trivia in Austin