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Spiro Karigiannis

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G₂ Manifolds

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	Department of Pure Mathematics University of Waterloo 200 University Avenue West Waterloo, Ontario, N2L 3G1, CANADA Curriculum Vitae (CV) My Google Scholar Profile	Waterloo Geometry & Topology group Waterloo Geometry & Topology Seminar Waterloo Differential Geometry Working Seminar Fields Institute Geometric Analysis Colloquium researchseminars.org

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.

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.

Public Outreach: mathASKS interview with me, from mathNEWS Volume 152, Issue 4; July 7, 2023; posted by permission.