Spiro Karigiannis

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G2 Manifolds


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

    Curriculum Vitae (CV)

Waterloo Geometry & Topology group

Waterloo Geometry & Topology Seminar

Waterloo Differential Geometry Working Seminar

Fields Institute Geometric Analysis Colloquium


  • I am not teaching in S24 or F24.
  • WINTER 2025: MATH 146: Linear Algebra 1 (Advanced Level) - Course Outline
  • WINTER 2025: PMATH 965: Topics in Geometry and Topology: Harmonic Maps - Course Outline
  • 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.

    CRM Major Thematic Program: "Geometric Analysis", April 15 to June 29, 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.

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

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