معرفی
Dr. Anna Puskas holds the position of Honorary Research Fellow at the School of Mathematics and Physics, The University of Queensland, where she maintains active research collaborations within Australia's premier mathematical sciences institution. Her scholarly work bridges abstract algebraic structures with concrete number-theoretic applications, reflecting deep engagement with both theoretical frameworks and cryptographic implementations.
Her research program centers on four interconnected pillars:
- Number Theory & Cryptography: Developing Ramanujan graph applications for post-quantum cryptography and analyzing class field theory in multiquadratic extensions
- Algebraic Combinatorics: Constructing crystal bases through combinatorial representation theory and Kashiwara operator frameworks
- Representation Theory: Investigating metaplectic covers of Kac-Moody groups and their Whittaker function decompositions
- Lie Theory: Exploring t-deformed root multiplicities and correction factors in infinite-dimensional Lie algebras
Analysis of her 2012-2019 publications reveals an evolving trajectory from classical invariant theory toward cutting-edge metaplectic representation theory. Her work demonstrates increasing sophistication in handling p-adic groups and automorphic forms, particularly through novel constructions of Whittaker functions on metaplectic covers. The cryptographic applications of her number-theoretic work—especially Ramanujan graphs—show practical impact beyond pure mathematics, while her crystal basis research provides essential combinatorial tools for representation theorists.
No scientific awards or honors were documented in available institutional records. Similarly, details regarding graduate student supervision, research grant funding, or laboratory affiliations were not provided in the source materials, suggesting her honorary fellowship may focus primarily on independent research collaboration rather than formal teaching or administrative duties.
