OHMOTO, Toru*
 Research Field
 Geometry
 Position
 Professor
 Organization
 Department of Mathematics [Graduate School of Information Science and Tech.]
 Research Interest
 Singularity Theory and Topology
 Research Activities

I’m working on singularity theory and topology. My main subject is the theory of characteristic classes for singular spaces and singular maps, which is deeply connected with the enumerative geometry from classic to modern times. It includes, e.g., CSM class , (singular) Todd class, Hirzebruch class, Schubert calculus, Thom polynomials for singularities of maps. I’m also interested in its applications and real counterpart.
References:
S. Cappell, L. Maxim, T. Ohmoto, J. Schuermann and S. Yokura, Characteristic classes of Hilbert schemes of points via symmetric products, Geometry & Topology 17 (2013) 11651198.
T. Ohmoto, Generating functions of orbifold Chern classes I: Symmetric Products, Math. Proc. Cambridge Phil. Soc. 144 (2008), 423–438.
T. Ohmoto, Equivariant Chern classes for singular algebraic varieties with group actions, Math. Proc. Cambridge Phil. Soc. 140, (2006), 115–134.  Keywords
 Chern classes for singular varieties, Thom polynomials
 WebPage
 http://www.math.sci.hokudai.ac.jp/~ohmoto