Ikuya Kaneko

2018–2022: Submitted 14 articles to mathematics journals (8 accepted)
2017–Present: Presentations at international conferences and the Mathematical Society of Japan
2018–Present: Member of the Mathematical Society of Japan and the American Mathematical Society
2021: Admitted to the Ph.D. program in mathematics at California Institute of Technology skipping the bachelor’s degree; Spirit of Ramanujan STEM Talent Initiative; Research Experiences for Undergraduates at the University of Virginia
Website: https://sites.google.com/view/ikuyakaneko/

I am a Ph.D. student at Caltech working under the supervision of Professor Maksym Radziwiłł. My study is rooted in analytic number theory, automorphic forms, and representation theory, with current interests lying in Motohashi’s formula relating the fourth & sixth moments of GL(1) L-functions with the third moment of GL(2) L-functions, which leads to substantial applications to subconvexity problems, non-vanishing results, and quantum chaos. The goal is to apply my work to some questions pertinent to equidistribution and exponential sums. I utilise classical tools such as δ-symbol methods and harmonic analysis to explore number-theoretic themes.