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1. Picard-Fuchs Uniformization and Modularity of the Mirror Map (pdf)
Communications in Mathematical Physics, 212 (2000) 625-647.
2. Picard-Fuchs Uniformization: Modularity of the Mirror Map and Mirror-Moonshine (pdf)
Centre de Recherches Mathematiques: CRM Proceedings and Lecture Notes, 24 (2000) 257-281.
3. Algebraic and Geometric Isomonodromic Deformations (pdf)
Journal of Differential Geometry 59 (2001) 33-85.
4. Algebro-geometric Isomonodromic Deformations Linking Hauptmoduls: Variation of the Mirror Map (pdf)
Centre de Recherches Mathematiques: CRM Proceedings and Lecture Notes, 30 (2001) 27-35.
5. Intersecting Branes in M-Theory and Chiral Matter in Four Dimensions (pdf)
With Michael Faux.
Journal of High Energy Physics, JHEP08(2002)024.
6. Four-Dimensional N = 1 Super Yang-Mills Theory from an M-Theory Orbifold (pdf)
With Michael Faux & Burt Ovrut.
Advances in Theoretical and Mathematical Physics, 6 (2003) 329-355.
7. A Periodic Table for Supersymmetric M-Theory Orbifolds (pdf)
With Michael Faux.
Journal of Mathematical Physics, 44 (2003) 2853-2873.
8. Mirror Symmetry and Integral Variations of Hodge Structure Underlying One Parameter Families of Calabi-Yau Threefolds (pdf) (video)
With John Morgan.
In "Mirror Symmetry V", AMS/IP Studies in Advanced Mathematics, 38 (2006) 517-537.
9. On K3 Surfaces with Large Complex Structure (pdf)
With Adrian Clingher
Advances in Mathematics, 215 (2007) 504-539.
10. On Graph-Theoretic Identifications of Adinkras, Supersymmetry Representations and Superfields (pdf)
With Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, & Greg Landweber.
International Journal of Modern Physics A, Vol. 22, No. 5 (2007) 869-930.
11. Modular Invariants for Lattice Polarized K3 Surfaces (pdf)
With Adrian Clingher
Michigan Mathematical Journal, 55, Issue 2 (2007), 355-393.
12. Off-Shell Supersymmetry and Filtered Clifford Supermodules (pdf)
With Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, & Greg Landweber.
(arXiv: math-ph/0603012) Submitted for publication.
13. Crosscaps in Gepner Models and the Moduli Space of T2 Orientifolds (pdf)
With Brandon Bates & Koenraad Schalm.
To appear in Advances in Theoretical and Mathematical Physics, 11, Issue 5 (2007).
14. Algebraic Topology of Calabi-Yau Threefolds in Toric Varieties (pdf)
With John Morgan.
Geometry and Topology, 11 (2007) 597-642.
15. Adinkras and the Dynamics of Superspace Prepotentials (pdf)
With Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, & Greg Landweber.
(arXiv: hep-th/0605269) To appear in Advanced Studies in Theoretical Physics.
16. On Stokes Matrices of Calabi-Yau Hypersurfaces (pdf)
With Shinobu Hosono.
Advances in Theoretical and Mathematical Physics, 11, Issue 1 (2007), 147-174.
17. A Counter-Example to a Putative Classification of 1-Dimensional, N-extended Supermultiplets (pdf)
With Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, & Greg Landweber.
(arXiv: hep-th/0611060) To appear in Advanced Studies in Theoretical Physics.
18. Families of Quintic Calabi-Yau 3-Folds with Discrete Symmetries (pdf)
With Brian Greene& Simon Judes.
(arXiv: hep-th/0701206) To appear in Communications in Mathematical Physics.
19. Numerical Kähler-Einstein Metric on the Third del Pezzo (pdf)
With Matthew Headrick, Christopher Herzog, Joshua Kantor, & Toby Wiseman.
(arXiv: hep-th/0703057) Submitted for publication.
20. Lattice Polarized K3 Surfaces and Siegel Modular Forms
With Adrian Clingher
(preprint in preparation)
21. On a Geometric Isogeny of K3 Surfaces
With Adrian Clingher
(preprint in preparation)
22. Normal Forms, K3 Surface Moduli, and Modular Parametrizations (pdf)
With Adrian Clingher, Jacob Lewis, and Ursula Whitcher.
To appear in Groups and Symmetries, proceedings of the CRM conference in honor of John McKay.