Efstratia Kalfagianni
Professor, Department of Mathematics
Location: D323 Wells Hall
Phone: 517-353-6333
Email: kalfagia@msu.edu
Bio
My research interests are in 3-dimensional topology and geometry, knot theory, hyperbolic geometry, quantum topology and combinatorics. In the recent years I have been interested in exploring the interplay and relations between physics originated and combinatorial 3-manifold invariants, and geometric structures on 3-manifolds coming from the Thurston geometrization picture. For instance, I have been studying relations between quantum knot invariants, such as the Jones polynomial, and geometric structures of knot complements such as hyperbolic geometry and incompressible surfaces. More generally I have been studying relations between 3-dimensional TQFT structures and geometric structures 3-manifolds.
Courses
- MTH 132: Calculus I
- MTH 890: Readings in Mathematics
Office Hours
- Monday: 1-2 pm (for MTH 132)
- Friday: 1-2pm (for MTH 132)
Selected Publications
- Pants complex, TQFT and hyperbolic geometry (with R. Detcherry), American Journal of Mathematics, to appear. View Publication
- Gromov norm and Turaev-Viro invariants of 3-manifolds. (with R. Detcherry), Ann. Sci. de l'Ecole Normale Sup., Vol. 53, Fasc. 6, 1363-1391(2020). View Publication
- Growth of quantum $6j$-symbols and applications to the Volume Conjecture. (with G. Belletti, R. Detcherry and T. Yang), Journal of Differential Geometry, 120(2), 199-229 (2022). View Publication
- Jones diameter and crossing number of knots (with C. Lee), Advances in Mathematics, vol. 417, Paper No. 108937(2023). View Publication
- Kauffman bracket skein modules of small 3-manifolds (with R. Detcherry and A. Sikora), Advances in Mathematics, vol 427, paper 110167, 45 pages(2025). View Publication