The Enumerative Geometry and Arithmetic of Banana Nano-Manifolds, with Stephen Pietromonaco and an appendix with Mike Roth. | arXiv:2405.04701 |
Counting Invariant Curves: A Theory of Gopakumar-Vafa Invariants for Calabi-Yau threefolds with an Involution, with Stephen Pietromonaco. | arXiv:2203.12077 |
Paper by my PhD student Stephen Pietromonaco: G-invariant Hilbert Schemes on Abelian Surfaces and Enumerative Geometry of the Orbifold Kummer Surface | arXiv:2011.14020 |
G-fixed Hilbert schemes on K3 surfaces, modular forms, and eta products, with Adam Gyenge. | arXiv:1907.01535 |
Paper by my PhD student, Nina Morishige: Genus zero Gopakumar-Vafa invariants of the Banana manifold. | arXiv:1909.01540 |
The Donaldson-Thomas partition function of the banana manifold. Appendix with Stephen Pietromonaco. | arXiv:1902.08695 |
Master's thesis of Stephen Pietromonaco: An introduction to modern enumerative geometry with applications to the banana manifold. | arXiv:1905.07085 |
CHL Calabi-Yau threefolds: Curve counting, Mathieu moonshine and Siegel modular forms. With Georg Oberdieck. | arXiv:1811.06102 |
Locally Maximally Entangled States of Multipart Quantum Systems. With Samuel Leutheusser, Zinovy Reichstein, and Mark Van Raamsdonk | arXiv:1801.03508 |
Existence of Locally Maximally Entangled States via Geometric Invariant Theory. With Zinovy Reichstein and Mark Van Raamsdonk | Journal link. arXiv:1708.01645 |
Donaldson-Thomas invariants of local elliptic surfaces via the topological vertex. With Martijn Kool | arXiv:1608.07369 |
Trace identities for the topological vertex. With Martijn Kool and Ben Young | Journal link. arXiv:1603.05271 |
Master's thesis of Leo Hsu: Formal-local Structure of the Hilbert Scheme of Points on Three-Dimensional Complex Affine Space around Special Monomial Ideals | UBC Link. |
Curve counting on abelian surfaces and threefolds. With Georg Oberdieck, Rahul Pandharipande, and Yin Qizheng | arXiv:1506.00841 |
Donaldson-Thomas theory of K3xE via the topological vertex. | arXiv:1504.02920 |
Curve counting invariants for crepant resolutions. With David Steinberg. | arXiv:1208.0884 |
Motivic Classes of Commuting Varieties via Power Structures. With Andrew Morrison. | arXiv:1206.5864 |
The Orbifold Topological Vertex. With Chuck Cadman and Ben Young. | arXiv:1008.4205 |
Motivic degree zero Donaldson-Thomas invariants. With Kai Behrend and Balazs Szendroi. | arXiv:0909.5088 |
BPS invariants for resolutions of polyhedral singularities. With Amin Gholampour. | arXiv:0905.0537 |
Generating functions for colored 3D Young diagrams and the Donaldson-Thomas invariants of orbifolds. appendix to a paper by Ben Young. | arXiv:0802.3948 |
The Quantum McKay Correspondence for Polyhedral Singularities. With Amin Gholampour. | arXiv:0803.3766 |
Hurwitz-Hodge integrals, the E_{6} and D_{4} root systems, and the Crepant Resolution Conjecture. With Amin Gholampour. | arXiv:0708.4244 |
Roots systems and the quantum cohomology of ADE resolutions. With Amin Gholampour. | arXiv:0707.1337 |
The Crepant Resolution Conjecture. With Tom Graber. | TEX DVI math.AG/0610129 |
Super-rigid Donaldson-Thomas invariants. With Kai Behrend. | math.AG/0601203 |
The Orbifold Quantum Cohomology of C^2/Z_3 and Hurwitz-Hodge integrals. With Tom Graber and Rahul Pandharipande. | math.AG/0510335 |
The local Gromov-Witten theory of curves. With Rahul Pandharipande. | math.AG/0411037 |
On the rigidity of stable maps to Calabi-Yau threefolds. With Rahul Pandharipande. | math.AG/0405204 |
The closed topological vertex via the Cremona transform. With Dagan Karp. | math.AG/0311208 |
Curves in Calabi-Yau 3-folds and Topological Quantum Field Theory. With Rahul Pandharipande. | math.AG/0306316 |
Surface bundles over surfaces of small genus. With Ron Donagi. Published in "Geometry and Topology" | math.AG/0105203 |
Surface bundles: some interesting examples. With Ron Donagi and Andras Stipsicz. | |
BPS states of curves in Calabi-Yau 3-folds. With Rahul Pandharipande. Published in "Geometry and Topology" | math.AG/0009025 |
Multiple cover formulas for Gromov-Witten invariants and BPS states (for the Proceedings of the conference ``Algebraic Geometry and Integrable Systems Related to String Theory" in RIMS, June 2000) | |
Evidence for a conjecture of Pandharipande | math.AG/0008036 |
Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefolds. With Sheldon Katz and Conan Leung. | math.AG/9911056 |
G-Bundles on Abelian surfaces, Hyperkahler manifolds and Stringy Hodge numbers. With Ron Donagi and Conan Leung. | math.AG/0004159 |
Counting curves on Irrational surfaces. With Conan Leung. | |
Generating functions for the number of curves on Abelian surfaces. With Conan Leung. | math.AG/9802125 |
The enumerative geometry of K3 surfaces and modular forms. With Conan Leung. | alg-geom/9711031 |
Orbifold Euler characteristics and the number of commuting n-tuples in symmetric groups. With Jason Fulman. | math.CO/9712248 |
Seiberg-Witten Theory and Z/2^p actions on spin 4-manifolds | dg-ga/9704010 |
Seiberg-Witten a la Furuta and genus bounds for classes with divisibility | |
Instantons on S^4 and \bar{CP^2}, rank stabilization, and Bott periodicity. With Marc Sanders. | alg-geom/9612008 |
The Rank Stable Topology of Instantons on \bar{CP^2}. With Marc Sanders. | alg-geom/9610008 |
The multi-monopole equations for Kahler surfaces. With Richard Wentworth. | |
The relative Donaldson invariants of \bar{CP^2} |
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