(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
From December 10-14, 2012, Hitoshi Murakami and I
organized a Winter School on Low-dimensional Topology. The main
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.
I am a researcher and teacher of mathematics. I
husband and Maria's father.
The most important stages in my career
are as follows:
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 as well. Through the
combinatorics, I found interesting new connections between knot
polynomials and Heegaard 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 preprint (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
- 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, will appear 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,
is accepted 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.