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 certain 3-dimensional TQFT structures and geometric structures 3-manifolds.
Courses
- MTH 890: Readings in Mathematics
Office Hours
- Monday: 1-2 pm (for MTH 132)
- Wednesday: 1-2pm (for MTH 132)
- Friday: 1-2pm (for MTH 869)
Selected Publications
- Growth of quantum $6j$-symbols and applications to the Volume Conjectures, w. Belletti, Detcherry, Yang, Journal of Differential Geometry, to appear.
- Gromov norm and Turaev-Viro invariants of 3-manifolds. w. Detcherry, Ann. Sci. de l'Ecole Normale Sup., Vol. 53, Fasc. 6, 1363-1391(2020).
- Quantum representations and monodromies of fibered links, w. Detcherry, Advances in Mathematics, Volume 351, 676-701(2019).
- Crosscap numbers and the Jones polynomial, w. Lee, Advances in Mathematics, 286, 308-337(2016).
- Cosmetic crossing changes of fibered knots, J. Reine Angew. Math, Vol 2012, Issue 669, 151-164 (2012).
- Guts of surfaces and the colored Jones polynomial, w. Futer and Purcell, Research Monograph, Lecture Notes in Mathematics, Vol. 2069, xii+ 175p., Berlin, Springer (2013).