معرفی
Matthew Henry Stoffregen is an Assistant Professor in the Department of Mathematics at Michigan State University (MSU). His research focuses on applying Floer theory to low-dimensional topology, with an emphasis on equivariant and homotopy-theoretic aspects of Floer homology. His work spans topics such as knot concordance, homology cobordism, and the interplay between algebraic structures and geometric topology.
Stoffregen’s research interests include monopole Floer spectra, Heegaard Floer homology, and Khovanov homology. He collaborates extensively with researchers like Kristen Hendricks, Jen Hom, and Ian Zemke. Notable contributions include studies on involutive invariants, satellite knots, and the structure of homology cobordism groups.
He currently advises PhD students Dean Spyropoulos, Max Throm, and Amey Joshi, and supervises postdoc Sally Collins. His research has been published in top journals such as *Geometry and Topology* and *Advances in Mathematics*.
Key research themes include:
- Applications of Floer homology to knot theory and 3/4-manifold topology
- Equivariant methods in low-dimensional topology
- Surgery formulas and concordance obstructions
His recent work explores spectral approaches to Floer theory and the classification of rationally slice knots.
