Tamas Kalman Kálmán Tamás カールマン・タマシュ    Home page (magyar nyelven itt)

photograph by Seiichi Majima

Current activity

In the Spring and Fall semesters of 2012 I am leading discussion sections (exercise classes) for first-year linear algebra and differential calculus. Please visit the class website for further information.

With Yuanyuan Bao and Hitoshi Murakami, we are organized a conference at Tokyo Tech for March 19-23, 2012. Please see our website for more 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. My most recent paper (Inner products on the Hecke algebra of the braid group) was published in Topology and its Applications.
10. I gave several versions of this talk on the results contained in a manuscript I submitted.