Spiro Karigiannis

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G2 Manifolds


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

              Office: MC 5326
       Telephone: 519-888-4567 x42810
    Office Hours: For Fall 2021 term:
                          Tuesdays 2:00pm-3:00pm,
                          Thursdays 12:30pm-1:30pm,
                          or by appointment.

Curriculum Vitae (CV)

Waterloo Geometry & Topology group

Waterloo Geometry & Topology Seminar

Waterloo Geometry Working Seminar

Fields Institute Geometric Analysis Colloquium


  • FALL 2021: PMATH 465/665: Smooth Manifolds - Course Outline
  • WINTER 2022: PMATH 332 / AMATH 332: Applied Complex Analysis (tentative)
  • WINTER 2022: PMATH 868: Connections and Riemannian Geometry (tentative)
  • 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.

    Workshop on Special Geometries on Riemannian Manifolds, to be held at CRM and online, October 11-15, 2021.

    New 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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