معرفی
Hajime Kaneko is an Associate Professor at the Department of Mathematics, Faculty of Pure and Applied Sciences, University of Tsukuba. His research focuses on Uniform Distribution Theory, Diophantine Approximation, and Transcendental Number Theory, with a particular emphasis on the behavior of number sequences in beta expansions and geometric progressions involving algebraic numbers.
- Key research topics include Markoff-Lagrange Spectrum, Sturmian Type Numbers, and Digit Exchange Properties in numerical systems.
- He has actively participated in and organized seminars such as DARF (Diophantine Analysis and Related Fields) and the 2024 Workshop on Number Theory and Ergodic Theory at Kanazawa University.
His recent publications highlight collaborations with prominent mathematicians like Shigeki Akiyama, Thomas Stoll, and Wolfgang Steiner. Notably, his work on the Markoff-Lagrange Spectrum (2024) and binary digits of algebraic numbers (2023) has advanced the understanding of digit patterns and their connections to Diophantine equations. He also contributes to the study of rotational beta expansions and irrationality exponents through symbolic dynamics and Padé approximations.
