Research

My thesis research is on applications of automorphic distributions to problems in number theory. Applications include:

• infinitely many zeros of additively twisted L-functions of modular forms on the critical line

• an algebraic-geometric proof of the existence and uniqueness of Whittaker functionals for GL(n,R)

A paper on the second topic is currently in preparation. I gave several talks on the second topic using these slides.

Besides my research involving automorphic distributions, I am currently participating in a research project on local Langlands correspondence for GL(3,Qp). I am also working on the quantum unique ergodicity for Eisenstein series on GL(3,R).

Preprints and Publications

1.  Doyon Kim, Infinitely many zeros of additively twisted L-functions on the critical line, Journal of Number Theory 253 (2023), 157-187. arXiv: 2210.02294.

2.  Doyon Kim, On the largest integer that is not a sum of distinct nth powers of positive integers, Journal of Integer Sequences, 20 (2017) #17. 7. 5. arXiv: 1610.02439.

3.  Doyon Kim, 2-Variable Frobenius problem in Z[√M], International Journal of Mathematics and Computer Science, 10 (2015), no. 2, 251-256. arXiv: 1608.01992.

4.  Doyon Kim, Coloring the Real Line with Monochromatic Intervals, Geombinatorics, 25, January 2016, 113-117. arXiv: 1608.06276.

5.  Doyon Kim, Friends of 12, Alabama Journal of Mathematics, 39 (2015). arXiv: 1608.06834.