Matt Litman

Graduate Student in Mathematics, UC Davis

Email: mclitman@ucdavis.edu Office: 2137 MSB

Graduate Student in Mathematics, UC Davis

Email: mclitman@ucdavis.edu Office: 2137 MSB

I am a third year graduate student in the pure mathematics group at UC Davis interested in number theory (approximation theory and analytic number theory), centered around backwards continued fractions and expansions of the Riemann xi function respectively. In particular, I study the use of backwards continued fractions in approximations of real numbers and in the reduction theory of quadratic forms. As for analytic number theory, I study expansions of the Riemann xi function with respect to different orthogonal bases, and determine the asymptotic behaviour of the coefficient sequences.

My CV can be found by clicking on either use of CV in this sentence.

- Möbius Disjointness for Skew Products on the Heisenberg Nilmanifold, joint with Z. Wang, Proceedings of the American Mathematical Society 147 (2019) pp. 2033-2043.
- On Consecutive Primitive nth Roots of Unity Modulo q, joint with T. Brazelton, J. Harrington, and S. Kannan, Journal of Number Theory 174 (2017) pp. 494-504.
- Flow Instabilities Due to Interfacial Surfactant/Polar Oil Material in a Hele-Shaw Cell, joint with A. Belmonte and Z. Niroobakhsh. Physical Review Letters E 96 (2017), 053102.

- Error Approximation for Backwards and Simple Continued Fractions, joint with R.C. Bjorklund. Submitted to Experimental Mathematics (2020).
- Sphere Eversion: Analysis of a Veridical Paradox (Senior Thesis).

- Interactive Proof of Hurwitz's Theorem, Mathematica program (2020)
- Backwards Continued Fraction Calculator for ℚ+ℚ √D , Mathematica program (2020)
- Zeta Functions and Quadratic Fields: An Introduction to Higher Number Theory, Chapter 13 (Translation), book by Don Zagier (in German, 1981), translation joint with F. Biefel (2020)
- Algebra Prelim Solutions, solutions provided by El Tigre (2020)

- Number Theory Series in Los Angeles II, Occidental College, February 2020 -- Talk
- Illustrating Number Theory and Algebra, ICERM, October 2019 -- Lightning Talk
- Geometric Representation Theory and Low Dimensional Topology, ICMS, June 2019
- Graduate Student Combinatorics Conference (GSCC 2019), UPenn/Drexel, April 2019
- Joint Mathematics Meeting, Atlanta, GA, January 2017 -- Poster Presentation
- Mid-Atlantic Seminar on Numbers I (MASON I), Towson University, October 2016 -- Talk
- Young Mathematicians Conference, The Ohio State University, August 2016 -- Talk

Past:
Mat 21B (TA and Instructor), Mat 21C, Mat 67,

Mat 115A, Mat 125A, Mat 135A (Discussion Notes),

Mat 150A, Mat 150C (Discussion Notes), Mat 167,

Mat 250A