Anthony Licata

Anthony Licata is a Professor at the Mathematical Sciences Institute (MSI) of The Australian National University. His research focuses on Representation Theory and Categorification, with expertise in Braid Groups, Homological Algebra, and their applications to algebraic geometry and quantum algebra. He holds a PhD from Yale University (2007).

Research Interests: Licata explores categorical structures underlying algebraic systems, including categorified Heisenberg algebras, stability conditions in geometric contexts, and braid group actions. His work bridges representation theory, low-dimensional topology, and algebraic combinatorics.

Key Projects:

• Stability conditions: their topology and applications (2024–2027): Investigates stability conditions in algebraic geometry and their connections to Artin-Tits groups.
• Groups, piecewise linear representations, and linear 2-representations (ongoing): Studies categorical representations of braid groups and their symmetries.

Collaborations: Active in global networks, Licata collaborates on projects involving hypertoric geometry, Floer homology, and categorification of quantum algebras. His work appears in top journals like Advances in Mathematics and Selecta Mathematica.

Advising: Supervises research students at the MSI, focusing on advanced topics in representation theory and geometric categorification. No specific student names listed in the provided data.