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, ShanghaiTechEducation•2001: B.S. in Electrical Engineering, Virginia Tech•2001: B.S. in Mathematics, Virginia Tech•2007: Ph.D. in Mathematics, University of Wisconsin-MadisonResearchDifferential Geometry, particularly Kahler geometryAnalysis, particularly geometric (and geometrically inspired) PDEPublications(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.cnOffice:S417, School of Creativity & Arts

200031（岳阳路校区）