Adam Sikora

Adam Sikora is a Professor of Mathematics at the State University of New York at Buffalo, affiliated with the Department of Mathematics in the College of Arts and Sciences. His research focuses on quantum topology, skein modules, character varieties, and their interactions with algebra, number theory, and geometry.

Education: PhD in Mathematics from the University of Maryland, College Park.

Research Interests:

• Quantum topology, including skein modules and knot invariants
• Character varieties and their moduli spaces
• Interactions between topology, algebra, and number theory
• Low-dimensional topology and geometric group theory

Recent work emphasizes categorification of skein modules, SL(n)-skein algebras, and applications to quantum invariants. His research also explores connections between topological structures and algebraic geometry.

No scientific awards are explicitly listed in the provided materials. Advising and grants are not detailed in the texts, though his publications indicate active collaboration with researchers like J.H. Przytycki and Thang T.Q. Le.