Harada, Megumi

Associate Professor, Ph.D. (Berkeley)

haradaDept. of Mathematics & Statistics, McMaster University
1280 Main Street West
Hamilton, Ontario,
Canada L8S 4K1
905-525-9140, ext. 23432
905-522-0935 (fax)


Megumi.Harada@math.mcmaster.ca

Office: HH/325

Website: http://www.math.mcmaster.ca/Megumi.Harada

Research

Research Area: Geometry & Topology

Research Profile: Geometry and Topology
My research is in symplectic and hyperkahler geometry. More specifically, I compute topological invariants, such as equivariant cohomology theories, of spaces with such structure. Symplectic geometry is the mathematical framework of classical physics; hyperkahler manifolds are symplectic manifolds wiht extra structure, are of particular recent interest due to their connections to theoretical physics. I am mainly concerned with the theory of symmetries of manifolds with these structures, as encoded by a Hamiltonian Lie group action, i.e. there exists a moment map on M encoding the action by Hamiltonian flows. Such group actions on symplectic and hyperkahler manifolds arise naturally in the context of physics, representation theory, and algebraic geometry. To a Hamiltonian space, one associates a symplectic (hyperkahler) quotient, which inherits a symplectic (hyperkahler) structure from the original manifold. The main theme of my recent research is the study of the topology and equivariant topology of these quotients, in particular the computation of their cohomology and complex K-theory rings.

Publications

List coming soon...

Graduate Students

Currently supervising:
Craig Kohne (MSc Math)


Past Students:
Lauren DeDieu (PhD Math)
Tatsuya Horiguchi (visiting student)

Teaching

COURSES

2016/2017

Math 1C03

Math 3EE3 


OFFICE HOURS

_______________________


2015/2016
Math 3CY3
Math 3EE3


On leave 2014/2015
On leave 2013/2014