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
From April 2023, my graduate seminar meets from 2 to 4 pm on Fridays
and my undergraduate seminar is from 2 to 3:30 on Tuesdays. I teach
second year Set Theory and Topology on Tuesdays from 10:4512:25 and
first year Linear Algebra on Mondays from 10:4512:25, as well as on
Fridays from 8:5010:30.
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 (kind of) 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)
Yuta Hatasa.
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 (aka generalized
permutohedra aka Mconvex sets) that generalize onevariable valuations
of the Tutte polynomial. In fact, there is also a full twovariable
extension. I also love the related topic of h*vectors of
lattice polytopes. Through this type of 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. Here are the
slides of a talk
I gave on the subject.
 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, 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 paper
with Lilla Tóthmérész: Hypergraph
polynomials and the Bernardi process, came out in Algebraic Combinatorics.
 A joint paper
with Seunghun Lee
and Lilla Tóthmérész, The
sandpile group of a trinity and a canonical definition for the planar
Bernardi action, has appeared in Combinatorica.
 Joint paper
with Byung Hee An
and Youngjin Bae: Ruling
invariants for Legendrian graphs, appeared in the Journal of
Symplectic Geometry.
 Joint paper
with Olivier Bernardi
and Alexander Postnikov: Universal
Tutte polynomial, published in Advances
in Mathematics.
 Joint paper
with Lilla Tóthmérész: Root
polytopes and Jaegertype dissections for directed graphs, appeared
in Mathematika.
 Joint with Lilla Tóthmérész: Ehrhart
theory of symmetric edge polytopes via ribbon structures, preprint.
 Joint with Lilla
Tóthmérész: h*vectors of graph polytopes using activities of
dissecting spanning trees, preprint.
Pictures