Tamas
Kalman
Kálmán Tamás カールマン・タマシュ Home page (magyar nyelven itt) 日本語版 |
photograph by Seiichi Majima |

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 JAPAN |

Current activity

In the Spring and Fall semesters of 2013, I am leading
discussion sections (exercise classes) for first-year linear algebra
and differential calculus. Please visit the class
website for further information.

In Fall 2013, I am also teaching Exercises in Geometry
(actually, more like Topology) for second year students. There is a website
for that class as well.

Professional
Information

I am a researcher and teacher of mathematics. I
am
Makiko's
husband and Maria's father.

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

- the Institute of Mathematics at Eötvös Loránd University (Budapest, Hungary), where I received my undergraduate degree in 1999;
- the Department of Mathematics of the University of California at Berkeley, where I was a graduate student (advisors: Michael Hutchings and Rob Kirby) until I received my Ph. D. degree in 2004;
- the University of Southern California's Department of Mathematics, where I spent three years as a non-tenure track assistant professor (2004-2007);
- the Graduate School of Mathematical Sciences at the University of Tokyo, where I was a JSPS research fellow (2007-2008) and a GCOE (Global Center of Excellence) visiting assistant professor (2008-2010);
- the Tokyo Institute of
Technology, where I am an associate professor in
the Department
of
Mathematics. (Before getting tenure, I
belonged to the Global
Edge Institute.)

For more detailed information, please see my CV.

Research

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. Through
combinatorics, I found interesting new connections between knot
polynomials and Heegaard 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 co-authored 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 follow-up paper
(Braid-positive Legendrian links)
appeared in the International
Mathematics Research Notices.

- This manuscript (Maximal Thurston-Bennequin 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 1-knots and
Legendrian 2-tori), 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 completed a manuscript on Legendrian knots and
exact Lagrangian cobordisms. I discussed its contents in this talk.

Pictures