BRIEF CV:

 Name:

  • Efstratia Kalfagianni
  •  Education:

  • Ph.D : May 1995, Columbia University, New York
  • M.A : May 1991, Columbia University, New York
  • M.Sc : January 1990, Fordham University, New York
  • B.Sc : October 1987, Aristotelion University of Thessaloniki, Greece

  • Academic Employment:

  • 2008-- \ \ \ \ , Professor, Michigan State University, E.Lansing MI.
  • 2003--2008, Associate Professor, Michigan State University, E.Lansing MI
  • 1998--2003, Assistant Professor, Michigan State University, E.Lansing MI
  • 1995--1998, Hill Assistant Professor, Rutgers University, Piscataway NJ

  • Visiting Positions:

  • March-April 2020, Max Planck Institute, Bonn, Germany
  • Fall 2019, Member, Institute for Advanced Study, Princeton NJ
  • June 2007, Max Planck Institute, Bonn, Germany
  • 2004--2005, Member, Institute for Advanced Study, Princeton NJ
  • July-August 1999, Max Planck Intitute, Bonn, Germany
  • 1994--1995, Member, Institute for Advanced Study, Princeton NJ

  • Fellowships/Honors:

  • 2019, MSU William J. Beal Outstanding Faculty Award
  • 2019, Fellow of the American Mathematical Society
  • 2018, MSU College of Natural Sciences Outstanding Faculty Award
  • 2013, AMS Plenary Invited Address, AMS Central Section
  • 2004-2005, IAS Research Scholarship
  • 1996-1997, MSRI Postdoctoral Fellowship (declined)
  • 1995, Sigma Chi Research Society, Columbia Chapter
  • 1990--1994, Columbia University Fellowship

  • Reasearch Grants:

  • 2020-2023, sole PI for NSF Grant, DMS-2004155
  • Fall 2019, IAS Sabbatical Fellowship
  • Spring 2020, MPIM-Bonn research grant
  • 2017-2021, sole PI for NSF Grant, DMS-1708249
  • 2014-2017, sole PI for NSF Grant, DMS-1404754
  • 2011-2014, sole PI for NSF Grant, DMS-1105843
  • 2008-2012, sole PI for NSF Grant, DMS-0805942
  • 2005-2009, NSF Focused Researsh Group Grant, DMS-0456155
    (with A. Champanerkar , O. Dasbach , X.-S. Lin, , W. Neumann )
  • 2003-2007, sole PI for NSF Grant, DMS-0306995
  • 2001-2004, sole PI for NSF Grant, DMS-0104000
  • 1999-2001, sole PI for NSF Grant, DMS-9996227
  • 1996--1999, sole PI for NSF Grant, DMS-9626140
  • June-July 2007, MPIM-Bonn research grant
  • July-August 1999, MPIM-Bonn research grant


  • Training Grants:

  • 2022-2027, NSF/RTG Grant, DMS-2135960
    (with M. Hedden, T. Gerhardt, M. Stoffregen)
  • 2004-2009, NSF/RTG Grant, DMS-0353717
    (with R. Fintushel, T. Parker, J. Wolfson)
  • 2008-2012, NSF/RTG Grant, DMS-0739208
    (with R. Fintushel, T. Parker, J. Wolfson)

  • Editing:

  • 2021--//, NYJM Monographs

  • 2017--//, New York Journal of Mathematics

  • 2011, Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory Contemporary Mathematics, 541, AMS

  • Conference Organization:

  • Quantum Invariants and Low-Dimensional Topology,
    AIM 5-day workshop, Aug 14 - 18, 2023
  • Topology Session at the 3rd annual WIMS,
    Dominican University, Chicago, March 7 2015
  • Special Session on Invariants and Geometry of 3-manifolds,
    AMS Central Section, East Lansing, March 14-15, 2015
  • Special Session on Geometric Aspects 3-Manifold Invariants,
    AMS Central Section, St Louis, October 18-20, 2013
  • Special Session on Geometric aspects of 3-manifold Invariants,
    Joint AMS Meeting, San Francisco, January 2010
  • Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory,
    FRG-Workshop and Conference, Columbia University, June 3rd-June 19th, 2009
  • A second time around the Volume Conjecture,
    FRG-Conference, LSU, May 30 - June 3, 2007
  • Special Session on Geometric Aspects of 3-Manifold Invariants,
    Joint AMS Meeting, San Francisco, January 2010
  • Around the Volume Conjecture,
    FRG-Conference, Columbia University, March 13-19, 2006

  • Some research papers since 2008:

    23. Volumes of fibered 2-fold branched covers of 3-manifolds
    (with S. Hirose and E. Kin), Preprint 2022. PDF file , ArXiv

    22. Pants complex, TQFT and hyperbolic geometry.
    (with R. Detcherry), Preprint 2021 PDF File, ArXiv.

    21. Jones diameter and crossing number of knots.
    (with C. Lee), Preprint 2021. PDF File, ArXiv.

    20. Alternating links on surfaces and volume bounds.
    (with J. Purcell), Communications in Analysis and Geometry, to appear.

    19. Cosets of monodromies and quantum representations.
    (with R. Detcherry), Indiana Univ. Mathematics Journal, Vol 71, No 3, 1101-1129 (2022).

    18. 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).

    17. Guts, volume and Skein Modules of 3-manifolds
    (with B. Bavier), Fundamenta Math,Vol 256, No 2, 195-220 (2022).

    16. Gromov norm and Turaev-Viro invariants.
    (with R. Detcherry), Ann.Sci. de l'Ecole Normale Super., Vol. 53, Fasc. 6, 1363-1391 (2020).

    15. The Strong Slope Conjecture and torus knots.
    Journal of the Math. Soc. of Japan, 72 no. 1, 73-79 (2020).

    14. Quantum representations and monodromies of fibered links.
    (with R. Detcherry), Advances in Mathematics, Volume 351, 676-701(2019).

    13. Turaev-Viro invariants, colored Jones polynomial and volume.
    (with R. Detcherry and T. Yang), Quantum Topology Vol. 9, Issue 4, 775-813(2018).

    12. Geometric estimates from spanning surfaces. (with S. D. Burton),
    Bulletin of London Math. Society, Vol. 49, Issue 4, 694-708(2017).

    11. Crosscap numbers and the Jones polynomial. (with C. Lee),
    Advances in Mathematics, 286, 308-337(2016).

    10. Knot Cabling and the Degree of the Colored Jones Polynomial. (with A. T. Tran),
    New York Journal of Mathematics, Volume 21, 905-941(2015).

    9. Hyperbolic semi-adequate links. (with D. Futer and J. Purcell),
    Communications in Analysis and Geometry, Vol 23, No 5, 991-1028(2015).

    8. Quasifuchsian state surfaces. (with D. Futer and J. Purcell),
    Transactions of the American Math. Soc., Vol 366, Issue 8, 4323-4343 (2014).

    7. Guts of surfaces and the colored Jones polynomial. (with Futer and Purcell),
    Research Monograph, Lecture Notes in Mathematics, Vol. 2069, x\~ 173p., Berlin, Springer (2013).

    6. Cosmetic crossing changes of fibered knots.
    J. Reine Angew. Math.(Crelle's Journal), Vol 2012, Issue 669, 151-164.

    5. Cosmetic crossings and Seifert Matrices. (with with C. Balm, S. Friedl and M. Powell),
    Communications in Analysis and Geometry, Vol 20, No 2,235-254 (2012).

    4. An intrinsic approach to invariants of framed links in 3-manifolds.
    Quantum Topology, Vol 2, Issue 1, 71-96(2011).

    3. Cusp areas of Farey manifolds and applications to knot theory. (with D. Futer and J. Purcell),
    Int.Math. Res. Notices, Vol. 2010, Issue 23, 4434-4497 (2010).

    2. Dehn filling, volume and the Jones polynomial. (with Futer and Purcell),
    Journal of Differential Geometry, Vol 78, no 3, 429-464 (2008).

    1. The Jones polynomial and graphs on surfaces (with O. Dasbach, D. Futer, X.-S. Lin and N. Stoltzfus),
    Journal of Combinatorial Theory Ser. B , Vol. 98, Issue 2, 384-399(2008).

    Expository papers:

    1. State Surfaces of Links.
    Encyclopedia of Knot Theory, Chapter 24, in press (2020).

    2. A survey of hyperbolic knot theory.
    (with D. Futer and J. Purcell), Knots, Low-dimensional Topology and Applications,
    Springer Proceedings in Mathematics & Statistics Vol. 284, 1-30(2019).

    3. Jones polynomials, volume, and essential knot surfaces: A survey.
    (with Futer and Purcell), in the Proceedings
    of ``Knots in Poland ``, Warsaw, July 2010, Banach Cent. Pub. Vol 100, 51-77 (2014)


    Ph.D Students(first position shown):

  • Chris Cornwell (PhD 2011), 3 year postdoc at Duke University.
    Thesis: Invariants of Topological and Legendrian Links in Lens Spaces with a Universally Tight Contact Structure

  • Thomas Jaeger (PhD 2011), Philip T. Church Postdoctoral Fellow at Syracuse University.
    Thesis: Topics in Link Homology

  • Cheryl Balm (PhD 2013), 3-year postdoc at Kansas State University.
    Thesis: Topics in Knot Theory: On generalized crossing changes and the additivity of the Turaev Genus.

  • Adam Giambrone (PhD 2014), Visiting Assistant Professor (3-year) at the University of Connecticut.
    Thesis: A Combinatorial Approach to Knot Theory: Volume Bounds for Hyperbolic, Semi-Adequate Link Complements.

  • Christine Lee (PhD 2015), NSF Research Postdoctoral Fellow and Instructor (3-year) at University of Texas, Austin
    Thesis: Jones type link invariants and applications to 3-manifold topology.

  • Stephan D. Burton (PhD 2017), NSA, Washington DC
    Thesis: Volumes, Determinants and Meridian Lengths of Hyperbolic Links.

  • Sunjay Kumar (PhD, 2021), 3 year postdoc at University of California Santa Barbara.
    Thesis: Asymptotics of the Turaev-Viro Invariants and Their Connections in Low-Dimensional Topology.

  • Brandon Bavier (PhD, 2021) Visiting assistant Professor, Sam Houston State University.
    Thesis: Diagrammatic and Geometric Invariants of Hyperbolic Weakly Generalized Alternating Knots.

  • Michael Shultz (PhD, Fall 2021)
    Thesis: Homology polynomial and Burau representation of psudo-Anosov braids.

  • Joseph Melby (PhD expected 2023)
    Thesis Topic: Quantum Topology

  • Robert McConkey(PhD expected 2024)
    Thesis Topic: Knot Invariants.

  • Dean Spyropoulos(PhD expected 2025)

  • Sashini Marasinghe(PhD expected 2026)


    Postdoctoral Fellows Mentored (current position shown):

  • (1999-2000) Hessam Hamidi-Tehrani (Ph.D. Columbia, 2007). In Finance.

  • (2005-2008) David Futer (Ph.D. Stanford, 2005). Professor, Temple University.

  • (2005-2008) Lawrence Roberts (Ph.D. UC Berkeley, 2005). Associate Professor, University of Alabama (co-mentored with R. Fintushel).

  • (2009-2010 ) Eric Shonefield (Ph.D., Stanford 2009). Google, San Fransisco.

  • (2010-2011) Matt Rathbun (Ph.D. UC. Davis, 2010). Associate Professor, California State University, Fullerton.

  • (2015-2018) Renaud Detcherry, (Ph.D., University Paris VI, 2015), Maitre de conferences, Universite de Bourgogne, Dijon, France.

  • (2019-present) ) Honghao Gao, (Ph.D., Northwestern University, 2017) (co-mentored with L. Shen), Assistant Professor (tenure-track) at Tsinghua University, Peijing, China.

  • (2021-present) Vijay Higgins, (Ph.D., UC Santa Barbara, 2021)