数学科学研究所
Insitute of Mathematical Science

Brian Weber

Career

•2007-2010: RTG/Simons Postdoc, Stony Brook University
•2010-2011: NSF Postdoc, New York University
•2011-2018: Assistant Professor, University of Pennsylvania
•2019-Present: Associate Professor, ShanghaiTech

Education

•2001: B.S. in Electrical Engineering, Virginia Tech
•2001: B.S. in Mathematics, Virginia Tech
•2007: Ph.D. in Mathematics, University of Wisconsin-Madison

Research

Differential Geometry, particularly Kahler geometry
Analysis, particularly geometric (and geometrically inspired) PDE


Publications

(with Martin Citoler-Saumell) A gap theorem for half conformally-flat manifolds (2018, in peer review process)
Generalized K\ahler Taub-NUTs and two exceptional instantons, {arXiv:1602.06178} (2016, in peer review process)
Classification of polytope metrics and complete scalar-flat K\ahler 4-manifolds with two symmetries, {arXiv:1509.04585} (2015, in peer review process)
Curvature estimates for critical 4-manifolds with a lower Ricci curvature bound, {arXiv:1309.3334} (Completed 2014, in peer review process)
Harnack inequalities for critical 4-manifolds with a Ricci curvature bound, {arXiv:1309.0863} {New York J. Math. 23 (2017) 1001–1021.}
Energy and asymptotics of Ricci flat 4-manifolds with a Killing field, {arXiv:1308.499} {To appear in the Proceedings of the AMS}
First betti numbers of K\ahler manifolds with weakly pseudoconvex boundary, {arXiv:1110.4571} (To appear in the Michigan Mathematics Journal)
Moduli Space of compact Ricci solitons, {International Mathematics Research Notices} doi: 10.1093/imrn/rnq055 (2010)
(with Xiuxiong Chen and Claude LeBrun) On conformally K\ahler, Einstein manifolds, {Journal of the AMS} 21 (2008) no 4
(with Xiuxiong Chen) Moduli spaces of critical Riemannian manifolds with $L^{\frac{n}{2}}$ norm curvature bounds, {Advances in Mathematics}, available online doi: 10.1016/j.aim.2010.08.007 (2010)
Compactification of the Moduli Space of Extremal K\ahler Metrics, Ph.D. Thesis, University of Wisconsin-Madison (2007)
(with William Floyd and Jeffrey Weeks) The Achilles Heel of $O(3,1)$? Experimental Mathematics 11 (2002) no 1
(with H.F. VanLandingham) Modeling of computational fluid dynamic data with artificial neural networks. Presented at the IASTED International Conference on Artificial Intelligence and Applications, Marbella, Spain, 2001




Email:

bjweber@shanghaitech.edu.cn

Office:S417, School of Creativity & Arts



地址:上海市浦东新区华夏中路393号
邮编:201210
上海市徐汇区岳阳路319号8号楼
200031(岳阳路校区)