Iva Halacheva

Iva Halacheva is an Assistant Professor in the Department of Mathematics at Northeastern University. Her research focuses on geometric and combinatorial representation theory, quantum algebra, knot theory, and low-dimensional topology. She holds an NSF grant (DMS-2302664) titled 'Categorical centers, cactus actions, and diagram algebras' active from 2023 to 2026.

Education: Ph.D. in Mathematics from the University of Toronto, advised by Dror Bar-Natan and Joel Kamnitzer.

Research interests include the interplay between representation theory and topology, with contributions to quantum algebra and knot invariants. She actively organizes academic events, including the 'Advances in Representation Theory' workshop (June 2025) at Northeastern. Recent activities include participation in seminars such as the GPRT seminar and GASC seminar. Upcoming engagements include conferences at Virginia Commonwealth University, Université Paris Cité, Oberwolfach, and others through 2026.

No scientific awards explicitly listed. Her work involves collaborations and contributions to open-source tools like the Knot Atlas via Mathematica code.