Dr. Asia Ivic Weiss

Biography

Asia Ivic Weiss is a Professor Emeritus in the Department of Mathematics and Statistics at York University. Her research primarily focuses on the interplay of geometry, combinatorics, and group theory, particularly in the context of studying regular chiral polytopes. Her recent works delve into the symmetry of geometric figures and the properties of regular polytopes defined as combinatorial objects. A significant aspect of her research involves the locally defined structures of classical regular polytopes and regular tessellations. She has contributed significantly to the understanding of globally regular polytopes and their topological types, particularly spherical ones. The concepts she explores, introduced by Grünbaum and Danzer and influenced by the extensive work of Coxeter, have implications in various fields including crystallography, physics, and biology. She also studies the realizations of polytopes, a process that involves mapping vertices into Euclidean space while preserving their automorphism properties. Through her academic career, she has impacted the fields of pure mathematics through her innovative research and insights.

Research Interests