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

Current activity

From December 10-14, 2012, Hitoshi Murakami and I organized a Winter School on Low-dimensional Topology. The main speakers were Robert Lipshitz and Dylan Thurston (with great help from Jennifer Hom and Rumen Zarev) and the event took place in Sugadaira city of Nagano prefecture. Please visit our website for further details. There is a Japanese version here.

In the Spring semester 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.

Professional Information

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

The most important stages in my career are as follows:  

• 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 hold a tenure-track assistant professorship. I belong to the Global Edge Institute, and my office is in the Department of Mathematics.
  

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 as well. Through the combinatorics, I found interesting new connections between knot polynomials and Heegaard Floer homology.

Publications

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 preprint (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, will appear 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, is accepted at Mathematical Research Letters. It is summarized in these slides.
12. With Tobias Ekholm and Ko Honda, we completed a manuscript on Legendrian knots and exact Lagrangian cobordisms. I discussed its contents in this talk.