Elliptic Curves

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.

9. On K3 Surfaces with Large Complex Structure (pdf)
With Adrian Clingher.
Advances in Mathematics, 215 (2007) 504-539.

11. Modular Invariants for Lattice Polarized K3 Surfaces (pdf)
With Adrian Clingher.
Michigan Mathematical Journal, 55, Issue 2 (2007), 355-393.

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).