Regular biography
Alexander Fish is an Associate Professor in the School of Mathematics and Statistics at The University of Sydney. His research areas include group theory and generalisations, number theory, combinatorics, dynamical systems and ergodic theory, and probability and stochastic processes. He is based in the Carslaw Building, Room 712, and can be contacted via email at alexander.fish@sydney.edu.au. His personal web page provides further details about his research and teaching activities.
Scholar-generated biography
Alexander Fish is a researcher at the University of Sydney, specializing in ergodic theory and additive combinatorics. His work explores the interplay between these fields, focusing on topics such as sumset phenomena, product set behaviors, and the structure of sets under group actions. He has contributed to understanding the solvability of Rado systems, characteristic polynomial patterns, and equidistribution properties in nilmanifolds. His research also addresses the rigidity of measures and the behavior of difference sets in countable groups. Fish's publications often highlight the connections between algebraic structures and dynamical systems, emphasizing the role of additive combinatorics in ergodic theory.