Department of Policy and Planning Sciences, Graduate School of University of Tsukuba

HACHIMORI Masahiro

HACHIMORI Masahiro

Position Associate Professor
Room 3F1133
Principal affiliation Faculty of Engineering, Information and Systems: Division of Policy and Planning Sciences
Other affiliations School of Science and Engineering: College of Policy and Planning Sciences
Graduate School of Systems and Information Engineering: Doctoral Program in Social Systems and Management
Graduate School of Systems and Information Engineering: Master's Program in Social Systems Engineering
Graduate School of Systems and Information Engineering: Master's Program in Business Administration and Public Policy
Graduate School of Systems and Information Engineering: Department of Policy and Planning Sciences (Policy and Planning Sciences)
Research interests Combinatorics and Discrete Mathematics
Degree Doctor of Philosophy, University of Tokyo, Mar. 2000
Education / Professional experience Education
B.S., University of Tokyo (Dept. of General Systems Studies, School of Arts and Sciences), 1995 Mar.
M.S., University of Tokyo (Dept. of Systems Sciences, Graduate School of Arts and Sciences), 1997 Mar.
Ph.D., University of Tokyo (Dept. of Systems Sciences, Graduate School of Arts and Sciences), 2000 Mar.

Position
1997 Apr. - 2000 Mar.: JSPS Research Fellowship for Young Scientists (DC1)
2000 Oct. - 2002 Mar.: Researcher of the Quantum Computation and Information Project, ERATO, JST.
2002 Apr. - 2004 Mar.: Assistant Professor, Institute of Policy and Planning Sciences, University of Tsukuba.
2004 Apr. - 2008 Jul.: Assistant Professor, Graduate School of Systems and Information Engineering, University of Tsukuba.
2008 Jul. - 2011 Oct.: Associate Professor, Graduate School of Systems and Information Engineering, University of Tsukuba.
2011 Oct. - : Associate Professor, Faculty of Engineering, Information and Systems, University of Tsukuba.
Courses taught For undergraduate students (College of Policy and Planning Sciences), I am teaching mainly on computers.
These lectures are quite different from my major. For graduate students I am teaching the course "Discrete Mathematics" in the Master's program in SSE. This is the only one exceptional lecture whose topic is near to my major area.

Academic societies Mathematical Society of Japan
Mathematical Programming Society
Representative publications Masahiro Hachimori and Masataka Nakamura,
The max-flow min-cut property of 2-dimensional affine convex geometries.
Discrete Mathematics, to appear.

Masahiro Hachimori and Masataka Nakamura,
A factorization theorem of characteristic polynomials of convex geometries.
Annals of Combinatorics, 11 (2007), 39-46.

Masahiro Hachimori,
Decompositions of two-dimensional simplicial complexes,
Discrete Mathematics, to appear.

Masahiro Hachimori and Kenji Kashiwabara,
On the topology of the free complexes of convex geometries,
Discrete Mathematics, 307 (2007) 274-279.

Masahiro Hachimori and Koya Shimokawa,
Tangle sum and constructible spheres,
Journal of Knot Theory and Its Ramifications, 13 (2004), 373-383.

Richard Ehrenborg and Masahiro Hachimori,
Non-constructible complexes and the bridge index,
European Journal of Combinatorics, 22 (2001), 475-491.

Masahiro Hachimori and Gnter M. Ziegler,
Decompositions of balls and spheres with knots consisting of few edges.
Mathematische Zeitschrift, 235-1 (2000), 159-171.

etc.
Research projects I am working in the area of combinatorics and discrete mathematics, mainly topics using and related to topological methods.
I am quite interested in the way that topological properties affects the properties of combinatorial structures, or vice versa.

Mainly, I am working on combinatorial structures like (finite) simplicial complexes, set families, graphs and networks, not restricted to topological things but including every area of combinatorics, combinatorial optimization, discrete mathematics and also other areas of mathematics.
Guidelines for advisees Do your work just because you enjoy it, not because you are advised to do it.
Do your work just because it is interesting by itself, not because it is useful for someone else.


Mainly, we discuss mathematical topics, so advisees are required to prefer mathematics. But no special skills of calculation, like integral calculus or matrix calculation, are needed: what is needed is the ablility of understanding mathematical arguements.

We'll work mainly on theoretical subjects, but it is possible to work on experimental topics using computers if you prefer.
We'll work mainly on discrete structures, but it is possible to work on other topics if you prefer.
(For those, we need discussion what kind of topics are possible and what are not possible, though.)

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Department of Policy and Planning Sciences, Graduate School of University of Tsukuba