I study the analytic theory of automorphic forms and problems in arithmetic geometry through analytic number theory. My ongoing projects include:
Bessel functions on GL(n,R)
Quantum ergodicity of Eisenstein series on hyperbolic 3-manifolds
Doyon Kim, Tian Wang, Rational points on varieties defined by multihomogeneous diagonal forms, submitted. arXiv: 2507.20878.
Kwangho Choiy, Doyon Kim, Razan Taha, Pan Yan, Component groups for non-supercuspidal L-parameters for p-adic SL_3, submitted. arXiv: 2507.20946.
Doyon Kim, Schubert cells and Whittaker functionals for GL(n, R) part II: Existence via integration by parts, submitted. arXiv: 2411.09862.
Doyon Kim, Schubert cells and Whittaker functionals for GL(n, R) part I: Combinatorics, submitted. arXiv: 2410.13519.
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.
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.
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.
Doyon Kim, Coloring the Real Line with Monochromatic Intervals, Geombinatorics, 25, January 2016, 113-117. arXiv: 1608.06276.
Doyon Kim, Friends of 12, Alabama Journal of Mathematics, 39 (2015). arXiv: 1608.06834.