Generalizations of Continued Fractions
Organizers
Speaker
Bohan Yang
Time
Wednesday, January 14, 2026 3:15 PM - 4:15 PM
Venue
A3-1-101
Online
Zoom 482 240 1589
(BIMSA)
Abstract
Continued fractions are a cornerstone of Diophantine approximation, with their higher-dimensional generalizations playing a significant role in homogeneous dynamics and number theory. This talk presents a geometric approach to such generalizations via the construction of a natural Poincaré section. I will then compare the properties of continued fractions and best approximations, highlighting their similarities and differences. Finally, I will discuss some ongoing joint work with Anurag Rao and Nikolay Moshchevitin, inspired by the work of Cheung and Chevallier.
Speaker Intro
Bohan Yang is a postdoctoral researcher at the Shanghai Institute of Mathematics and Interdisciplinary Sciences (SIMIS). He obtained a Doctor of Mathematics degree from Tsinghua University in 2025. His main research interests include homogeneous dynamics, Teichmüller dynamics, and their applications in number theory.