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 from 10 to 12 on Thursdays in room 206. My
undergraduate senior seminar is from 2 to 4 on Mondays in room 340. I
teach sophomore Set Theory on Tuesdays from 10:45 to 12:15 in room 103.
Here is a combined schedule for all Tokyo Tech
mathematics seminars (with topology talks usually on Wednesdays
from 3:30 to 5). See also the Komaba
topology seminar (Tuesdays from 5 to 6:30).
Professional Information
I research and teach mathematics. My past and present PhD
students are
Kouki Sato (2017)
Keiju
Kato
Keita
Nakagane.
I have 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. Recently I started doing work on graphs and
hypergraphs, too. I introduced two new polynomial invariants of integer
polymatroids that generalize onevariable valuations of the Tutte
polynomial. Through combinatorics, I found interesting new connections
between knot polynomials and Floer homology.
Publications
 Part of my undergraduate
thesis (Stable maps of surfaces
into the plane) was published in 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 in
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 has been published in the Proceedings of the London Mathematical Society.
 With Daniel
Mathews, we submitted the preprint Tight
contact structures on Seifert surface complements for publication.
 Our joint paper with Camden
Hine on Clock theorems for
triangulated surfaces has also been submitted.
 With Lilla
Tóthmérész, we submitted the manuscript Hypergraph polynomials and the Bernardi
process for publication.
Pictures