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Aaron C. Naber, Ph.D.

Affiliations: 
2009 Princeton University, Princeton, NJ 
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"Aaron Naber"

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Gang Tian grad student 2009 Princeton
 (Ricci solitons and collapsed spaces.)
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Publications

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Mondino A, Naber A. (2019) Structure theory of metric measure spaces with lower Ricci curvature bounds Journal of the European Mathematical Society. 21: 1809-1854
Naber A, Valtorta D. (2019) Energy identity for stationary Yang Mills Inventiones Mathematicae. 216: 847-925
Edelen N, Naber AC, Valtorta D. (2019) Effective Reifenberg theorems in Hilbert and Banach spaces Mathematische Annalen. 374: 1139-1218
Naber A, Valtorta D. (2018) Stratification for the singular set of approximate harmonic maps Mathematische Zeitschrift. 290: 1415-1455
Haslhofer R, Naber A. (2018) Ricci Curvature and Bochner Formulas for Martingales Communications On Pure and Applied Mathematics. 71: 1074-1108
Naber A, Valtorta D. (2017) Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps Annals of Mathematics. 185: 131-227
Naber A, Valtorta D. (2017) Volume Estimates on the Critical Sets of Solutions to Elliptic PDEs Communications On Pure and Applied Mathematics. 70: 1835-1897
Naber A, Zhang R. (2016) Topology and –regularity theorems on collapsed manifolds with Ricci curvature bounds Geometry & Topology. 20: 2575-2664
Naber AC, Tian G. (2016) Geometric Structures of Collapsing Riemannian Manifolds II Crelle's Journal. 2018: 103-132
Cheeger J, Naber A. (2015) Regularity of Einstein manifolds and the codimension 4 conjecture Annals of Mathematics. 182: 1093-1165
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