I am a PhD Candidate in the Department of Mathematics at UC Davis. I am currently researching topics in Random Matrix theory under Alexander Soshnikov. My primary research interests are in random matrix theory and mathematical physics.

- Pair Dependent Linear Statistics for CBE.

Available at arXiv:1912.07110 math.PR.

To appear in Random Matrices: Theory and Applications.

(Joint work with Ander Aguirre and Alexander Soshnikov) .

Here is a list of some of the conferences and workshops that I have attended. Hopefully there will be many more to come in the near future!

- XVI Brunel-Bielefeld Workshop on RMT and Applications (December 2020)

Pair Dependent Linear Statistics Poster - 11th Cornell Probability Summer School (June 2019)
- CRM Workshop

Topic: Spectral Theory of Semi-Periodic and Random Operator (Nov. 2018) - International Congress for Mathematical Physics (ICMP) (Aug. 2018)

- qKZ is a SageMath package that I wrote in Spring 2017. This package generates and impliments operations on wheel polynomials, a family of polynomials studied by Dan Romik in his paper titled "Connectivity patterns in loop percolation I: the rationality phenomenon and constant term identities". This package has two variations: a 'non-threaded' version and a 'threaded' version which uses parallel computing to drastically improve computational performance. This project was inspired by a reading course supervised by Dan in Spring 2017.

**Address:**

University of California, Davis

Mathematics Department

One Shields Avenue

Davis, CA 95616**Email:**jsumpter@math.ucdavis.edu**Office:**MSB 2127**Curriculum Vitae :**CV.pdf