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- Research Interests
- Professional Preparation
- Education
- Teaching Experience
- Publications
- Selected Lectures
- Collaborators and Other Affiliations
- Conference/Workshop Participation
- Synergistic Activities
My research is in the field of geometric analysis and currently focuses on the theory of asymptotically flat and asymptotically hyperbolic spaces, which are significant in the mathematical theories of classic and quantum relativity. My research interests include the application of analytic methods to Riemannian manifolds and the relationship between partial differential equations on manifolds and certain geometric quantities. In the context of conformal geometry, I am particularly interested in the relation between the geometry and topology of conformally compact spaces and the geometry of their conformal infinities.
| Cal Poly State University Assistant Professor | August 2008 - Present | |
| McMaster University Britton Postdoctoral Fellow | January 2007 - June 2008 | |
| MSRI Geometric Evolution Equations Postdoctoral Fellow | August 2006 - January 2007 |
| University of California, Santa Cruz | Mathematics | Ph.D., 2006 | ||
| University of California, Santa Cruz | Mathematics | Masters of Arts, 2001 | ||
| University of California, Santa Cruz | Mathematics | Bachelor of Arts, 2000 | ||
| College of San Mateo | Liberal Studies | Associate in Arts, 1997 |
Honors:
Highest Honors, Bachelor of Arts, Mathematics, University of California, Santa Cruz, June 2000
College Honors, Crown College, University of California, Santa Cruz, June 2000
High Honors, Associate in Arts, College of San Mateo, June 1997
Awards:
2005-2006 academic year UCSC Excellence in Teaching Award
2004 ARCS (Achievement Rewards for College Scientists) Mr. and Mrs. William R. Hearst III Scholar
2001 University of California, Santa Cruz, Regent's Fellow
1999-2000 University of California, Santa Cruz, Regent's Scholar
1998-1999 University of California, Santa Cruz, Caldwell Merit Scholar
Recipient of the American Association of University Women, the San Mateo County Retired Teacher's Association, the San Mateo County Peninsula Rotary Club, and the Samuel A. Francis Memorial Scholarships for the 1997-1998 academic year
Instructor for Calculus I and Calculus III, Cal Poly, Fall Term 2008
Instructor for Graduate Differential Geometry, McMaster University, Winter Term 2008
Instructor for Calculus, McMaster University, Fall Term 2007
Instructor for Complex Analysis, McMaster University, Winter Term 2007
Instructor for Vector Calculus, UCSC, Summer Session 2006
Instructor for Vector Calculus, UCSC, Summer Session 2005
Academic and Cultural Life Skills/Intercultural Communications instructor for UCSC English Language Institute (ELI) Fulbright Scholars Pre-Academic Orientation in 2001 and 2002
COSMOS 2000 and 2001 summer program Logic, Riddles and Paradoxes co-instructor for academically talented youth
Crown College-Delta Learning Connection (CDLC) mentor and personal mathematics instructor for at-risk youth at UCSC for the 1999-2000 academic year
Vincent Bonini, Jie Qing.
A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners Along a Hypersurface.
Annales Henri Poincaré 9 (2008) 347-372.
ArXiv:0711.0539
Vincent Bonini, Pengzi Miao, Jie Qing.
Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds.
Communications in Analysis and Geometry, 14 (2006) no. 3, 603-612.
ArXiv:math.DG/0310378
Presented the joint work A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners Along a Hypersurface in Lisbon, Portugal at the Instituto Superior Tenico Geometry Seminar in May 2007
Presented the joint work A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners Along a Hypersurface in the McMaster Geometry Seminar in February 2007
Presented the joint work A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners Along a Hypersurface in the MSRI Geometry Seminar at MSRI in December 2006
Presented the joint work Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds in the MSRI Geometry Seminar in November 2006
Presented the joint work Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds as a guest speaker at Princeton University in the Fall 2003 Geometry Learning Seminar under the direction of Professor Alice Chang
Collaborators and Other Affiliations:
Ph.D. Advisor:
Jie Qing, Ph.D., Department of Mathematics, University of California, Santa Cruz
Collaborators
Jose Espinar, Departamento de Geometria y Topologia, Universidad de Granada, Spain
Pengzi Miao, Ph.D., Department of Mathematics, Monash University, Australia
Jie Qing, Ph.D., Department of Mathematics, University of California, Santa Cruz
Conference/Workshop Participation:
2008 University of Arkansas Partial Differential Equations in Conformal Geometry Spring Lecture Series Participant
2007 Curvature and Global Shape workshop participant (Munster, Germany)
2006 Peking University Workshop on Mathematical Relativity participant (Beijing, China)
2006 MSRI Geometric Evolution Equations workshop participant
2005 MSRI Recent Results in Nonlinear Elliptic Equations and their Interactions with Geometry workshop participant
2005 MSRI Introductory Workshop in Nonlinear Elliptic Equations and Its Applications workshop participant
Visiting graduate student at Princeton University for the 2003 Fall Semester Geometry Learning Seminar
2003 AIM/Stanford University Relativity Workshop participant
2003 Conformal Strucutre in Geometry, Analysis, and Physics participant at the American Institute of Mathematics (AIM), Palo Alto, California
2003 Spectral Analysis in Geometry and Physics conference participant at the University of California, San Diego
2002 Yamabe Memorial Symposium participant at the University of Minnesota
Referee for the Pacific Journal of Mathematics January 2007
Informal Mentor and Advisor for UCSC Undergraduates and New Graduates in Mathematics
Coordinator of the UCSC Graduate Colloquium for the 2002-2003 academic year
Co-designer of curriculum for COSMOS summer program Logic, Riddles and Paradoxes
Crown College-Delta Learning Connection (CDLC) mentor and personal mathematics instructor for at-risk youth at UCSC for the 1999-2000 academic year