Tamas Kalman

Kálmán Tamás

カールマン タマシュ

Home page

(magyar nyelven itt)                                                                                                                                              日本語版


Contact information

Email address:
my family name at math dot titech dot ac dot jp
Postal Address:
mail code H-214
Department of Mathematics
Tokyo Institute of Technology
2-12-1 Ookayama, Meguro-ku
Tokyo 152-8551


Current activity

In the second quarter of Spring 2017, I am teaching a lecture course in first-year linear algebra. F
or further information, please visit the website for the class.

My graduate seminar meets on Tuesday afternoons from 2 to 4 pm (on most weeks) in room 340.

Here are the websites of the Tokyo Tech topology seminar (Wednesdays from 3:30 to 5) and the Komaba topology seminar (Tuesdays from 5 to 6:30).


Professional Information

I am a researcher and instructor of mathematics.

I am fortunate to have spent time at the following great institutions:

For more detailed information, please see my CV.



My main research interests are in low-dimensional geometric topology, in particular in contact 3-manifolds and Legendrian knots (and their Floer homologies), as well as in classical knot invariants such as the Homfly polynomial. Recently I started doing work on graphs and hypergraphs, too. I introduced two new polynomial invariants of integer polymatroids that generalize one-variable valuations of the Tutte polynomial. Through combinatorics, I found interesting new connections between knot polynomials and Floer homology.

trinity with
              special alternating link
visualizing the interior polynomial



  1. Part of my undergraduate thesis (Stable maps of surfaces into the plane) was published at Topology and its Applications.
  2. With my undergraduate advisor András Szűcs, we co-authored another paper (On double points of immersed surfaces) in the same journal.
  3. My doctoral dissertation (Contact homology and one parameter families of Legendrian knots) was published at Geometry and Topology.
  4. A follow-up paper (Braid-positive Legendrian links) appeared in the International Mathematics Research Notices.
  5. This manuscript (Maximal Thurston-Bennequin number of +adequate links) was published in the Proceedings of the American Mathematical Society.
  6. This article (Rulings of Legendrian knots as spanning surfaces) appeared in the Pacific Journal of Mathematics.
  7. This paper (Isotopies of Legendrian 1-knots and Legendrian 2-tori), joint with Tobias Ekholm, was published in the Journal of Symplectic Geometry.
  8. The manuscript Meridian twisting of closed braids and the Homfly polynomial appeared in the Mathematical Proceedings of the Cambridge Philosophical Society. Here are the slides of a talk I gave on the subject.
  9. The paper Inner products on the Hecke algebra of the braid group was published in Topology and its Applications.
  10. My first paper on combinatorics, A version of Tutte's polynomial for hypergraphs, appeared in Advances in Mathematics. I gave several versions of this talk on the results in it.
  11. Our joint paper with András Juhász and Jake Rasmussen, Sutured Floer homology and hypergraphs, was published at Mathematical Research Letters. It is summarized in these slides.
  12. With Tobias Ekholm and Ko Honda, we wrote a paper on Legendrian knots and exact Lagrangian cobordisms that appeared in the Journal of the European Mathematical Society. I discussed its contents in this talk.
  13. My joint paper with Hitoshi Murakami, titled Root polytopes, parking functions, and the HOMFLY polynomial,  has now appeared in Quantum Topology.
  14. With Alexander Postnikov, we wrote a paper on Root polytopes, Tutte polynomials, and a duality theorem for bipartite graphs. It has been published in the Proceedings of the London Mathematical Society.