Fedor Manin

Fedor Manin is an Associate Professor of Mathematics at the University of Toronto, previously serving as an Associate Professor at the University of California, Santa Barbara (UCSB). He holds a Ph.D. in Mathematics from the University of Chicago (2015), with earlier degrees from Caltech (B.S., 2009) and the University of Chicago (M.S., 2011). His research focuses on the quantitative, algorithmic, and stochastic aspects of geometry and topology, including topics like metric geometry, knot theory, and topological data analysis. Manin has received significant funding, including a Sloan Fellowship (2021–2023) and multiple NSF grants. He advises several Ph.D. students and has published extensively in top-tier journals. His work bridges topology with computation and probability, exploring questions such as the geometry of random knots and the algorithmic decidability of topological problems.

Education:

• Ph.D., Mathematics, University of Chicago, 2015
• M.S., Mathematics, University of Chicago, 2011
• B.S., Mathematics, California Institute of Technology, 2009

Research Interests:
Manin investigates connections between topology and metric geometry, with applications to computation and probability. Key areas include the study of knot invariants (e.g., ropelength), algorithmic topology, and stochastic geometry. For instance, he explores how to quantify geometric properties of knots and analyze their isotopy through probabilistic methods. Recent work also addresses the scalability of geometric spaces and the computational complexity of topological problems.

Grants & Awards:

• NSERC Discovery Grant (2025–2030)
• Sloan Fellowship (2021–2023)
• NSF Grant DMS-2204001 (2022–2025)

Labs & Collaborations: While no specific lab is named, Manin collaborates widely, evidenced by co-authored papers with researchers like Larry Guth (MIT) and Érika Roldán Roa (UCSB). His work often intersects with computational topology and geometric group theory.