(magyar nyelven itt)
photograph by Seiichi Majima
|my family name
at math dot titech dot ac dot jp
|mail code H-214
Department of Mathematics
Tokyo Institute of Technology
2-12-1 Ookayama, Meguro-ku
In the Spring and Fall semesters of 2014, I am teaching a lecture
course in first-year linear algebra. Please visit the class
website for further information.
In Spring 2014, I am also teaching a graduate course on knots and Floer
(officially called Algebraic Topology). There is a website
for that class as well.
I am a researcher and instructor of mathematics. I live
with my wife
and our two daughters.
I am fortunate to have spent time at the following great
For more detailed information, please see my CV.
My main research interests are in low-dimensional
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 Floer homology.
- Part of my undergraduate
(Stable maps of surfaces into the
plane) was published at Topology
and its Applications.
- With my undergraduate advisor András Szűcs,
paper (On double points of
in the same journal.
- My doctoral
(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
- This article
(Rulings of Legendrian knots as
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
- The manuscript
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
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 is due to appear in the Journal
of the European Mathematical
Society. I discussed its contents in this talk.