Spiro Karigiannis, University of Waterloo

Research

Calabi-Yau manifolds and general SU(3) geometry cohomologies on special manifolds and relation to formality conical singularities via glueing constructions deformation theory of special geometric structures Einstein metrics G2 and Spin(7) geometry geometric analysis and elliptic equations geometric evolution equations / geometric flows

Latest papers

Flows of Conformally Coclosed G 2 -Structures with Dilaton.
Journal of geometric analysis · 2026 · first author
Cohomogeneity one solitons for the isometric flow of G 2 -structures.
Geometriae dedicata · 2024 · senior author

All 2 publications

Latest funding

Geometric analysis of special structures in high dimensions inspired from physics; including singularities, torsion, and geometric evolution
NSERC · 2019 · Principal investigator
$126,000
Exceptional geometric structures required for string theory and M-theory: moduli spaces and formation of singularities
NSERC · 2014 · Principal investigator
$70,000
Differential geomtery of manifold with special holonomy and their calibrated submanifolds
NSERC · 2009 · Principal investigator
$105,000

All 3 grants and awards

2 publications.

01

Flows of Conformally Coclosed G 2 -Structures with Dilaton.

Karigiannis S, Picard S, Suan C

Journal of geometric analysis2026First author

DOI: 10.1007/s12220-026-02416-x PMID: 41972006

02

Cohomogeneity one solitons for the isometric flow of G 2 -structures.

Ivey TA, Karigiannis S

Geometriae dedicata2024Senior author

DOI: 10.1007/s10711-024-00954-8 PMID: 39360030

Geometric analysis of special structures in high dimensions inspired from physics; including singularities, torsion, and geometric evolution

Principal investigatorNSERC2019Discovery Grants Program - Individual

Principal investigators: Karigiannis, Spiro

Keywords: geometric analysis and elliptic equations; g2 and spin(7) geometry; calabi-yau manifolds and general su(3) geometry; conical singularities via glueing constructions; special algebraic/geometric structures on moduli spaces; deformation theory of special geometric structures; cohomologies on special manifolds and relation to formality; geometric evolution equations / geometric flows; einstein metrics; hull-strominger system / m-theory

$126,000

Exceptional geometric structures required for string theory and M-theory: moduli spaces and formation of singularities

Principal investigatorNSERC2014Discovery Grants Program - Individual

Principal investigators: Karigiannis, Spiro

$70,000

Differential geomtery of manifold with special holonomy and their calibrated submanifolds

Principal investigatorNSERC2009Discovery Grants Program - Individual

Principal investigators: Karigiannis, Spiro

$105,000

From CIHR, NSERC and SSHRC funding decisions: CIHR since 2008, NSERC since 1991 and SSHRC since 1998, including their latest published competition results.

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Applying for

Paper to mentionMention their NSERC grant from 2019

Subject: Prospective PhD student: Calabi-Yau manifolds and general SU(3) geometry Dear Professor Karigiannis, My name is [your name], and I am a [your current degree or role] at [your institution]. I am applying for a PhD position starting in [term and year]. I read your paper "Flows of Conformally Coclosed G 2 -Structures with Dilaton." (2026), and it connects closely to my own work on [your research topic]. [One or two sentences on what you did and what you learned.] I also saw your NSERC-funded project "Geometric analysis of special structures in high dimensions inspired from physics; including singularities, torsion, and geometric evolution" (2019), and I would be glad to contribute to work in that direction. Are you accepting new PhD students for [term and year]? I have attached my CV and transcripts, and I would be glad to talk at a time that suits you. Thank you for your time. Kind regards, [your name]