I am a 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 U(m), SU(m), 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; properties of special torsion classes; and geometric evolution equations in the context of special holonomy and calibrations.
I am on the Editorial Board for the journal Pure and Applied Mathematics Quarterly published by International Press. I encourage you to submit your high quality manuscripts to PAMQ for consideration, and to select me as the handling editor if the content matches my research expertise.
BIRS Workshop: BIRS: "Spinorial and octonionic aspects of G2 and Spin(7) geometry", May 28 to June 2, 2023.
CRM Major Thematic Program: "Geometric Analysis", April 15 to June 29, 2024.
CRM Workshop: "Special Riemannian geometries in dimensions 6,7,8", April 22 to April 26, 2024.
SMS Summer School: "Flows and Variational Methods in Riemannian and Complex Geometry: Classical and Modern Methods", June 3 to June 14, 2024.
Book on Lectures and Surveys on G2-manifolds and Related Topics, published by Springer in 2020.
Public Outreach: "By the numbers" interview, for the University of Waterloo Faculty of Mathematics.
Public Outreach: interview about my research, for the "Group Theory" YouTube channel.
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