YOSHINAGA, Masahiko

YOSHINAGA, Masahiko
Position
Associate Professor
Organization
Department of Mathematics
Research Interest
Algebraic Geometry, Topology, Combinatorics
Research Activities

Hyperplane arrangements relate several branches of mathematics, topology, representation theory, combinatorics, and so on. I am working in two aspects of hyperplane arrangements. The first is around logarithmic vector fields.
It is a reflexive sheaf on the projective space, which controls combinatorial structures of arrangements. The other is minimality of the homotopy types of the complements. Recently I am also interested in Ehrhart theory, Eulerian polynomials, and categorification of enumerative problems.

Papers:
[1] Characterization of a free arrangement and conjecture of Edelman and Reiner. Invent. Math. 157(2004), no. 2, 449-454.

[2] Hyperplane arrangements and Lefschetz’s hyperplane section theorem. Kodai Math. J. 30, no. 2 (2007), 157–194.

[3] Milnor fibers of real line arrangements. Journal of Singularities, vol 7 (2013), 220-237.

[4] Worpitzky partitions for root systems and characteristic quasi-polynomials. To appear in Tohoku Math. J.

Keywords
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WebPage
http://www.math.sci.hokudai.ac.jp/~yoshinaga/index.html