(magyar nyelven itt)
|my family name at math
titech dot ac dot jp
|mail code H-214
Department of Mathematics
Tokyo Institute of Technology
2-12-1 Ookayama, Meguro-ku
In the third quarter of 2017, I am teaching a lecture course
first-year calculus (the second part of the standard
sequence). For further
information, please visit the website
My graduate seminar meets on Tuesday afternoons from 2 to 3:30
pm (on most
weeks) in room 340.
Here are the websites of the Tokyo
topology seminar (Wednesdays from 3:30 to 5) and the Komaba
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
in particular in contact 3-manifolds and Legendrian knots (and
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
polymatroids that generalize one-variable valuations of the
polynomial. Through combinatorics, I found interesting new
between knot polynomials and Floer homology.
- Part of my undergraduate
thesis (Stable maps
into the plane) was published at Topology
- With my undergraduate advisor András
Szűcs, we co-authored another paper
(On double points of
in the same journal.
- My doctoral
and one parameter families of Legendrian knots) was
published at Geometry
- A follow-up
appeared in the International
- This manuscript
Thurston-Bennequin number of
+adequate links) was published in the Proceedings of the American Mathematical Society.
- This article
(Rulings of Legendrian
spanning surfaces) appeared in the Pacific
- This paper
(Isotopies of Legendrian
Legendrian 2-tori), joint with Tobias
Ekholm, was published in the Journal of Symplectic
- The manuscript
Meridian twisting of
braids and the Homfly polynomial appeared in the Mathematical
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
Tutte's polynomial for hypergraphs, appeared in Advances
Mathematics. I gave several
on the results in it.
- Our joint paper
Juhász and Jake
homology and hypergraphs, was published at Mathematical Research
It is summarized in these slides.
- With Tobias
Ekholm and Ko Honda,
we wrote a paper
on Legendrian knots and
Lagrangian cobordisms that appeared in the Journal
of the European
Society. I discussed its contents in this talk.
- My joint paper
Murakami, titled Root polytopes, parking
functions, and the
HOMFLY polynomial, has now appeared in Quantum
- With Alexander
Postnikov, we wrote a paper
polytopes, Tutte polynomials, and a duality theorem for
It has been published in the Proceedings
of the London Mathematical