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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.

• List of all my articles available on the arXiv.
• Reviews of my papers in Mathematical Reviews. (Subscription to MathSciNet required.)
• Reviews I have written for Mathematical Reviews. (Subscription to MathSciNet required.)

Harvard University PhD Thesis

• Deformations of G₂ and Spin(7) Structures on Manifolds

Harvard University Minor Thesis

• The Inverse Scattering Transform and Integrability of Nonlinear Evolution Equations

Undergraduate Expository Papers

• Generalized Symmetries, Conservation Laws, and Noether's Theorem in Classical Mechanics
• Quasi-Exactly Solvable Systems in Quantum Mechanics
• Variational Symmetries of the Willmore Functional (Coming someday...)