Anna Puskas
Visiting Associate Scientist (from 2020/01/20 )
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Other Affiliation
School of Mathematics and Physics, The University of Queensland

Research Field
<a.puskas _at_> 

Last Update 2021/04/12

My research interests lie on the boundary of Number Theory and Combinatorial Representation Theory. For example, I am interested in questions related to the study of Whittaker functions on metaplectic covers of nonarchimedean groups. Recently with my collaborators we extended the study of Iwahori-Whittaker functions to metaplectic covers of Kac-Moody groups, and studied properties of related correction factors. The main tools of this study are Demazure and Demazure-Lusztig operators, highest weight crystals and other combinatorial devices associated with the representation theory of finite and infinite-dimensional Lie algebras. Similar devices, related to symmetries and the Bruhat order of a Weyl group appear in the study of a wide range of interesting questions.

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