Algebraic geometry with emphasis on
Gromov-Witten Theory, Quantum Cohomology and Interactions with High
Energy Physics.
Papers
1. The
Aspinwall-Morrison Calculation and Gromov-Witten Theory, Pacific
Journal of Mathematics, Vol. 205 No.1 (2002), 99-109.
2. Mirror Symmetry for Concavex Vector Bundles on Projective
Spaces, International Journal of Mathematics and Mathematical
Sciences No. 3 (2003), 159-197.
3. Virtual Fundamental
Class of Zero Loci and Mirror Theorems, Advances in Theoretical
and Mathematical Physics No 6 (2004) 1101-1116.
4. A Mirror
Conjecture for Projective Bundles, International Mathematical
Research Notices No 55 (2005) 3445-3458.
5. Teaching
Mathematics with Entertainment, submitted.
6. An
Absolute and Relative View of Mirror Symmetry for Toric Varieties,
Proceedings of the 6th Annual Hawaii International Conference on
Statistics, Mathematics and Related Fields, January 17-19 2007, ISSN
1550-3747, pp 302-324.
7. The Value of Entertainment in a
Mathematics Course, Proceedings of the 6th Annual Hawaii
International Conference on Statistics, Mathematics and Related
Fields, January 17-19 2007, ISSN 1550-3747, pp 291-301.
8. Mirror Symmetry and Quantum Cohomology for Projective
Bundles, International Journal of Pure and Applied Mathematics
Volume 36 No. 1 (2007) 75-86.
9. Toric Fibrations and
Mirror Symmetry, Computational Algebraic Geometry, Special Issue
of Albanian Journal of Mathematics, Vol 1 Nr 4, 2007.
10. Enumerative Geometry and String Theory, to appear in New Challenges in digital Communications, IOS Press 2009.