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 H214
Department of Mathematics
Tokyo Institute of Technology
2121 Ookayama, Meguroku
Tokyo 1528551
JAPAN

Current activity
My graduate seminar meets online from 2 to 4 pm on Tuesdays. I teach
graduate Differential Topology on Mondays from 10:4512:25.
Here is a combined schedule for all Tokyo Tech
mathematics seminars, including our Topology
seminar. See also the Komaba
topology seminar. Or, actually, you can now attend any math seminar in the world!
Professional Information
I research and teach mathematics. My past and present PhD
students are
Kouki
Sato (2017)
Keiju
Kato (2020)
Keita
Nakagane (2021)
I spent time at the following institutions:
For more detailed information, please see my CV.
Research
My main research interests are in lowdimensional geometric topology,
in particular in contact 3manifolds and Legendrian knots (and their
Floer homologies), as well as in classical knot invariants such as the
Homfly polynomial. I work on graphs and hypergraphs, too. I introduced
two new polynomial invariants of integer polymatroids that generalize
onevariable valuations of the Tutte polynomial. Recently this has led
to a full twovariable extension. Through combinatorics, I found
interesting new connections between quantum knot polynomials and Floer
homology.
Publications
 Part of my undergraduate
thesis (Stable maps of surfaces
into the plane) was published at Topology
and its Applications.
 With my undergraduate advisor András Szűcs,
we coauthored another paper
(On double points of immersed surfaces)
in the same journal.
 My doctoral
dissertation (Contact homology
and one parameter families of Legendrian knots) was published at
Geometry and Topology.
 A followup paper
(Braidpositive Legendrian links)
appeared in the International
Mathematics Research Notices.
 This manuscript
(Maximal ThurstonBennequin number of
+adequate links) was published in the Proceedings of the American Mathematical Society.
 This article
(Rulings of Legendrian knots as
spanning surfaces) appeared in the Pacific
Journal of Mathematics.
 This paper (Isotopies of Legendrian 1knots and
Legendrian 2tori), joint with Tobias
Ekholm, was published in the Journal
of Symplectic Geometry.
 The manuscript
Meridian twisting of closed
braids and the Homfly polynomial appeared in the Mathematical
Proceedings of the Cambridge Philosophical Society.
 The paper Inner products on the Hecke algebra of the
braid group was published in Topology
and its Applications.
 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.
 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.
 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.
 Our joint paper
with Hitoshi
Murakami, titled Root polytopes, parking functions, and the
HOMFLY polynomial, has now appeared in Quantum
Topology.
 With Alexander
Postnikov, we wrote a paper
on Root polytopes, Tutte polynomials, and a duality theorem for
bipartite graphs. It was published in the Proceedings of the London Mathematical Society.
 With Daniel
Mathews, we published the paper
Tight contact structures on Seifert surface complements in
the Journal
of Topology.
 Our joint paper
with Camden Hine on Clock theorems
for triangulated surfaces has also been submitted.
 Joint with Lilla
Tóthmérész: Hypergraph polynomials and the Bernardi process,
Algebraic Combinatorics,
link
to the paper.
 Joint with Seunghun
Lee and Lilla Tóthmérész:
The sandpile group of a trinity and a canonical definition for
the planar Bernardi action, preprint.
 Joint with Byung Hee An and Youngjin Bae: Ruling
invariants for Legendrian graphs, to appear in the Journal
of Symplectic Geometry, preprint.
 Joint with Olivier Bernardi
and Alexander
Postnikov: Universal Tutte polynomial, preprint.
 Joint with Lilla
Tóthmérész: Root polytopes and
Jaegertype dissections for directed graphs, preprint.
Pictures