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Published papers and preprints (most recent listed first)
- [14] Spiro Karigiannis and Christopher Lin; "Curvature of the moduli space of G2 manifolds"; in preparation.
- [13] Spiro Karigiannis and Dominic Joyce; "A new construction of compact G2 manifolds by glueing families of Eguchi-Hanson spaces"; in preparation.
- [12] Spiro Karigiannis and Jason Lotay; "Moduli spaces of asymptotically conical or conically singular G2 manifolds"; in preparation.
- [11] Spiro Karigiannis and Nat Chun-Ho Leung; "Deformations of calibrated subbundles of Euclidean spaces via twisting by special sections"; submitted for publication.
- [10] Spiro Karigiannis, Ben McKay, and Mao-Pei Tsui; "Soliton solutions for the Laplacian coflow of some G2-structures with symmetry"; submitted for publication.
- [09] Spiro Karigiannis; "What is… a G2-manifold?"; Notices Amer. Math. Soc. 58 (2011), 580-581. (EXPOSITORY)
- [08] Spiro Karigiannis; "Desingularization of G2 manifolds with isolated conical singularities"; Geometry and Topology 13 (2009), 1583-1655. DOI:10.2140/gt.2009.13.1583
- [07] Spiro Karigiannis; "Flows of Spin(7)-structures"; Proceedings of the 10th Conference on Differential Geometry and its Applications: DGA 2007; World Scientific Publishing, (2008), 263-277. DOI:10.1142/9789812790613_0023
- [06] Spiro Karigiannis and Naichung Conan Leung; "Hodge Theory for G2-manifolds: Intermediate Jacobians and Abel-Jacobi Maps"; Proceedings of the London Mathematical Society (3) 99 (2009), 297-325. DOI:10.1112/plms/pdp004
- [05] Spiro Karigiannis; "Flows of G2-Structures, I."; Quarterly Journal of Mathematics 60 (2009), 487-522. DOI:10.1093/qmath/han020
- [04] Spiro Karigiannis; "Some Notes on G2 and Spin(7) Geometry"; Recent Advances in Geometric Analysis; Advanced Lectures in Mathematics, Vol. 11; International Press, (2010), 129-146.
- [03] Spiro Karigiannis and Maung Min-Oo; "Calibrated Sub-Bundles in Non-Compact Manifolds of Special Holonomy"; Annals of Global Analysis and Geometry 28 (2005), 371-394. DOI:10.1007/s10455-005-1940-7
- [02] Marianty Ionel, Spiro Karigiannis, and Maung Min-Oo; "Bundle Construction of Calibrated Submanifolds in R7 and R8"; Mathematical Research Letters 12 (2005), 493-512.
- [01] Spiro Karigiannis; "Deformations of G2 and Spin(7) Structures on Manifolds"; Canadian Journal of Mathematics 57 (2005), 1012-1055.
Harvard University PhD Thesis
Harvard University Minor Thesis
Undergraduate Expository Papers
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