Career •2007-2010: RTG/Simons Postdoc, Stony Brook University Education •2001: B.S. in Electrical Engineering, Virginia Tech Research Differential Geometry, particularly Kahler geometry
(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 |
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