问题及解答

http://www.math.uwaterloo.ca/~karigian/

Department of Pure Mathematics
University of Waterloo
200 University Avenue West
Waterloo, Ontario, N2L 3G1, CANADA

I am an Assistant Professor in the Department of Pure Mathematics at the University of Waterloo, and a member of the Geometry & Topology research group. My area of research is differential geometry and geometric analysis. Specifically, I work on manifolds with G₂ or Spin(7) structures. This includes: the construction of torsion-free compact examples; the study of their moduli spaces and the extra geometric structures on such moduli spaces; conical singularities of such manifolds; calibrated submanifolds; Donaldson-Thomas connections in G₂ and Spin(7) geometry; and geometric evolution equations in the context of special holonomy and calibrations.