Anton Mellit

Anton Mellit is an Associate Professor in the Faculty of Mathematics at the University of Vienna. He holds a Doctor of Natural Sciences from the University of Bonn (2008) and completed postdoctoral positions at institutions including the Hausdorff Center for Mathematics (Bonn), Scuola Internazionale Superiore di Studi Avanzati (Trieste), and the Institute of Science and Technology Austria (Klosterneuburg). His research focuses on algebraic geometry, enumerative geometry, and their connections to representation theory, combinatorics, and number theory, with particular emphasis on moduli spaces, categorification, and character varieties.

Education:

• Doctor of Natural Sciences (2008), University of Bonn
• Master in Applied Mathematics (2004), National Technical University of Ukraine
• Bachelor in Applied Mathematics (2002), National Technical University of Ukraine

Research Interests:

• Investigates Poincaré polynomials of moduli spaces, Higgs bundles, and character varieties
• Studies Khovanov-Rozansky homology and torus knots
• Explores connections between Macdonald polynomials and affine Springer fibers
• Develops combinatorial approaches to algebraic geometry via Hilbert schemes and categorification

Grants & Projects:

• ERC Consolidator Grant: Macdonald polynomials and related structures in geometry
• FWF Standalone Project: Refined invariants in combinatorics, low-dimensional topology, and geometry of moduli spaces

Labs/Teams: Collaborates with researchers in geometric representation theory, quantum cohomology, and algebraic combinatorics, including notable co-authors like Erik Carlsson, Eugene Gorsky, and Maxim Smirnov.