(magyar nyelven itt)
photograph by Seiichi
|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 both quarters of Spring 2016, I am teaching lecture courses
in first-year linear algebra. For
further information, please visit the website for the class
E (first quarter) and for the class J (second quarter).
For the schedule of the graduate seminar (Thursday afternoons
from 1:30 to 4 in room 206), click here.
Here are the websites of the Tokyo
Tech topology seminar (Wednesdays from 3:30 to 5) and
topology seminar (Tuesdays from 5 to 6:30).
I am a researcher and instructor of mathematics.
I am fortunate to have spent time at the following
For more detailed information, please see my CV.
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. I
introduced two new polynomial invariants of integer
polymatroids that generalize one-variable valuations of the
Tutte polynomial. Through combinatorics, I found interesting
new connections between knot polynomials and Floer homology.
- Part of my undergraduate
thesis (Stable maps
of surfaces into the plane) was published at Topology
- With my undergraduate advisor András
Szűcs, we co-authored another paper
(On double points of
immersed surfaces) in the same journal.
- My doctoral
homology and one parameter families of Legendrian knots)
was published at Geometry
- A follow-up
Legendrian links) appeared in the International
Mathematics Research Notices.
- This manuscript
Thurston-Bennequin number of +adequate links) was
published in the Proceedings
of the American Mathematical
- This article
(Rulings of Legendrian
knots as spanning surfaces) appeared in the Pacific
- This paper
(Isotopies of Legendrian
1-knots and Legendrian 2-tori), joint with Tobias
Ekholm, was published in the Journal of Symplectic
- The manuscript
Meridian twisting of
closed braids and the Homfly polynomial appeared in
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
- My first paper
version of Tutte's polynomial for hypergraphs,
appeared in Advances
Mathematics. I gave several
versions of this talk
on the results in it.
- Our joint paper
Juhász and Jake
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
- My joint paper
Murakami, titled Root polytopes, parking
functions, and the HOMFLY polynomial, will be
- With Alexander
Postnikov, we recently completed a preprint
on Root polytopes, Tutte polynomials, and a duality
theorem for bipartite graphs.