Mathematics

Technical Publications

Journal Articles

    1. Poon, Y. 1986. "Compact Self-Dual Manifolds With Positive Scalar Curvature". J. Differential Geom. Vol. 24: p.97-132. (Refereed)  

    2. Poon, Y. 1988. "Algebraic Dimension of Twistor Spaces". Math. Ann. Vol. 282: p.621-627. (Refereed)  

    3. Poon, Y., Pedersen, H. 1988. "Hyper-Kahler Metrics and a Generalization of the Bogomolny Equations". Commun. Math. Phys. Vol. 117: p.569-580. (Refereed)  

    4. Poon, Y., LeBrun, C., Wells, Jr, R. 1990. "Projective Embeddings of Complex Supermanifolds". Commun. Math Phys. Vol. 126: p.433-452. (Refereed)  

    5. Poon, Y., Pedersen, H. 1990. "Kahler surfaces with zero scalar curvature". Class. Quantum Grav. Vol. 7: p.1707-1719. (Refereed)  

    6. Poon, Y. 1991. "Twistor Spaces with Meromorphic Functions". Proceedings of the American Mathematical Society. Vol. 111: p.331-338. (Refereed)  

    7. Poon, Y., Salamon, S. 1991. "Quaternionic Kahler 8-Manifolds with Positive Scalar Curvature". J. Differential Geometry. Vol. 33: p.363-378. (Refereed) 

    8. Poon, Y., Pedersen, H. 1991. "Hamiltonian constructions of Kahler-Einstein metrics and Kahler metrics of constant scalar curvature". Comm. Math. Phys. p.309-326. (Refereed) 

    9. Poon, Y., Galicki, K. 1991. "Duality and Yang-Mills Fields on Quaternionic Kahler Manifolds". J. Math. Phys. p.1263-1268. (Refereed)  

    10. Poon, Y., LeBrun, C. 1992. "Twistors, Kahler Manifolds, and Bimeromorphic Geometry II". J. Amer. Math. Soc. p.317-325. (Refereed)  

    11. Poon, Y. 1992. "On the Algebraic Structure of Twistor Spaces". J. Differential Geom. p.451-491. (Refereed)  

    12. Poon, Y., Pedersen, H., Swann, A. 1993. "The Einstein-Weyl equations in complex and quaternionic geometry". Differential Geom. Appl. p.309-321. (Refereed)  

    13. Poon, Y. 1994. "Conformal Transformations of Compact Self-Dual Manifolds". Internat. J. Math. p.125-140. (Refereed)  

    14. Poon, Y., Pedersen, H., Swann, A. 1994. "The Hitchin-Thorpe Inequality for Einstein-Weyl Manifolds". Bull. London Math. Soc. p.191-194. (Refereed)  

    15. Poon, Y., Pedersen, H. 1994. "Self-Duality and Differentiable Structures on the Connected Sum of Complex Projective Planes". Proc. Amer. Math. Soc. p.859-864. (Refereed)  

    16. Pedersen, H., Poon, Y. 1994. "A Relative Deformation of Moishezon Twistor Spaces". J. Algebraic Geom. p.685-701. (Refereed)  

    17. Pedersen, H., Poon, Y. 1995. "Equivariant Connected Sums of Compact Self-Dual Manifolds". Math. Ann. p.717-749. (Refereed)  

    18. Poon, Y., Swann, A. 1995. "Generalised Connected Sums of Quaternionic Manifolds". Ann. Global Anal. Geom. p.79-90. (Refereed)  

    19. Poon, Y. 1996. "Torus Symmetry of Compact Self-Dual Manifolds". Geom. Dedicata. p.49-64. (Refereed)  

    20. Pedersen, H., Poon, Y., Swann, A. 1996. "Einstein-Weyl Deformations and Submanifolds". Internat. J. Math. p.705-719. (Refereed)  

    21. Madsen, A., Pedersen, H., Poon, Y., Swann, A. 1997. "Compact Einstein-Weyl Manifolds With Large Symmetry Group". Duke Math. p.407-434. (Refereed)  

    22. Poon, Y. 1997. "Adjunction Mappings on Numerical Quadrics". Math. Scand. p.161-174. (Refereed)  

    23. Pedersen, H., Poon, Y. 1998. "Deformations of Hypercomplex Structures". J. Reine Angew. p.81-99. (Refereed)  

    24. Pedersen, H., Poon, Y., Swann, A. 1998. "Hypercomplex structures associated to quaternionic manifolds". Differential Geom. Appl. p.273-292. (Refereed)  

    25. Pedersen, H., Poon, Y. 1999. "Inhomogeneous Hypercomplex Structures on Homogeneous Manifolds". J. Reine Angew. Math. p.516. (Refereed)  

    26. Madsen, A., Pedersen, H., Poon, Y., Swann, A. 1999. "Corrigendum: Compact Einstein-Weyl Manifolds with Large Symmetry Group". Duke Math. J. p.167. (Refereed)  

    27. Poon, W., Poon, Y. 1999. "Conformal Normal Curvature and Assessment of Local Influence". J.R. Stat. Soc. Ser. B Stat. Methodol. p.51-61. (Refereed)  

    28. Pedersen, H., Poon, Y. 1999. "A Note on Rigidity of 3-Sasakian Manifolds". Proc. Amer. Math. Soc. p.3027-3034. (Refereed)  

    29. Pedersen, H., Poon, Y. 1999. "Connected Sums of Self-Dual Manifolds and Equivariant Relative Smoothings". Pacific J. Math. p.145-171. (Refereed)  

    30. Grantcharov, G., Poon, Y. 2000. "Geometry of Hyper-Kahler Connections with Torsion". Comm. Math. Phys. p.19-37. (Refereed)  

    31. Poon, W., Lew, S., Poon, Y. 2000. "A Local Influence Approach to Identifying Multiple Multivariate Outlier". British J. Math. Stat. Psychology. p.255-273. (Refereed)  

    32. Poon, Y., Swann, A. 2001. "Potential Functions of HKT Spaces". Classical Quantum Gravity. p.4711-4714. (Refereed)  

    33. Poon, W., Poon, Y. 2001. "Conditional Local Influence in Case-Weights Linear Regression". British J. Math. Stat. Psychology. p.177-191. (Refereed)  

    34. Poon, W., Poon, Y. 2002. "Influential Observations in the Estimation of Mean Vector and Covariance Matrix". British J. Math. Statist. Psych. p.177-192. (Refereed)  

    35. Grantcharov, G., Papadopoulos, G., Poon, Y. 2002. "Reduction of HKT-structures". J. Math. Phys. p.3766-3782. (Refereed)  

    36. Poon, W., Poon, Y. 2002. "Total Behavior of Likelihood Displacement". Statist. Sinica. p.599-607. (Refereed)  

    37. Poon, Y., Swann, A. 2003. "Superconformal Symmetry and Hyper-Kahler Manifolds with Torsion". Comm. Math. Phys. p.177-189. (Refereed)  

    38. Ornea, L., Poon, Y., Swann, A. 2003. "Potential 1-forms for hyper-Kahler structures with torsion". Classical Quantum Gravity. p.1845-1856. (Refereed)  

    39. Grantcharov, G., McLaughlin, C., Pedersen, H., Poon, Y. 2004. "Deformations of Kodaira Manifolds". Glasg. Math. J. p.259-281. (Refereed)  

    40. Fino, A., Pedersen, H., Poon, Y., Sorensen, M. 2004. "Neutral Calabi-Yau Structures on Kodaira Manifolds". Comm. Math. Phys. p.255-268. (Refereed)  

    41. Maclaughlin, C., Pedersen, H., Salamon, S. 2006. "Deformation of 2-step Nilmanifolds with Abelian Complex Structures". J. London Math. Soc. p.173-193. (Refereed)  

    42. Poon, Y. 2006. "Extended deformation of Kodaira surfaces". J Reine Angew. Math. p.45-65. (Refereed)  

    43. Console, S., Fino, A., Poon, Y. 2006. "Stability of Abelian Complex Structures". Internat. J. Math. p.401-416. (Refereed)  

(In Press)

    1. Grantcharov, D., Grantcharov, G., Poon, Y. "Calabi-Yau Connections with Torsion on Toric Bundles". N/A. (Accepted 10/20/2006. 17 manuscript pages.) (Refereed)  

    2. Grantcharov, G., Pedersen, H., Poon, Y. "Deformations of hypercomplex structures associated to Heiesnberg groups". J. Reine Angew. (Accepted 07/05/2007. 19 manuscript pages.) (Refereed)  

    3. Poon, Y., Poon, W. "Local Conditional Influence". J. Applied Statistics. (Accepted 08/30/2007. 20 manuscript pages.) (Refereed)  

Conference and Symposia Proceedings

    1. Pedersen, H., Poon, Y. 1988. "Twistorial Construction of Quaternionic Manifolds". Proceedings of the Sixth International Colloquium of Differential Geometry. p.207-218. (Refereed, )  

    2. Poon, Y. 1989. "Self-Duality, Twistor Theory, Its Generalization and Application". Contemporary Mathematics. p.125-146. (Refereed, )  

    3. LeBrun, C., Poon, Y. 1990. "Self-Dual Manifolds with Symmetry". Amer. Math. Soc., Providence, RI. p.365-377. (Refereed, )  

    4. Poon, Y. 1996. "Decomposable Self-Dual Manifolds". Geo & Physics, Proceedings of the Conference on Geometry and Physics, Aarhus, Denmark. p.299-306. (Refereed, )  

    5. Poon, Y. 2000. "Examples of Hyper-Kahler Connections with Torsion". Proceedings of the Second Meeting on quaternionic Structures in Mathematics and Physics, Roma, 1999. p.321-327. (Refereed, )  

Non-Technical Publications

Journal Articles

    1. Wong, B., Poon, Y. 2007. "Visibility of Asian Americans in Mathematics". Notices Amer. Math. Soc. p.6. (Non-Refereed)