Grants per year
Personal profile
Research Interests
Professor Naber's current research interests focus on the study of geometrically motivated equations and their applications. This includes work in the areas of Ricci curvature, nonlinear harmonic maps, yang-mills, minimal varifolds, sectional curvature, ricci solitons, mean curvature flow, Ricci flow, and general elliptic equations.
Education/Academic qualification
Mathematics, PhD, Princeton University
… → 2009
Mathematics, BS, Pennsylvania State University
… → 2005
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Analysis on Manifolds
Getzler, E., DeMarco, L. G., Naber, A. C., Weinkove, B. & Wunsch, J.
7/1/15 → 6/30/23
Project: Research project
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Singularities and Smoothness in Geometric Partial Differential Equations
7/1/18 → 6/30/22
Project: Research project
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Emphasis Year in Geometric Analysis at Northwestern University
Weinkove, B., Naber, A. C., Tosatti, V. & Zelditch, S. M.
1/15/15 → 12/31/15
Project: Research project
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Boundary regularity and stability for spaces with Ricci bounded below
Bruè, E., Naber, A. & Semola, D., May 2022, In: Inventiones Mathematicae. 228, 2, p. 777-891 115 p.Research output: Contribution to journal › Article › peer-review
Open Access3 Scopus citations -
Codimension four regularity of generalized Einstein structures
Fu, X., Naber, A. & Streets, J., 2022, (Accepted/In press) In: Mathematische Annalen.Research output: Contribution to journal › Article › peer-review
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Differential Harnack inequalities on path space
Haslhofer, R., Kopfer, E. & Naber, A., Dec 3 2022, In: Advances in Mathematics. 410, 108714.Research output: Contribution to journal › Article › peer-review
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L2 curvature bounds on manifolds with bounded Ricci curvature
Jiang, W. & Naber, A., Jan 2021, In: Annals of Mathematics. 193, 1, p. 107-222 116 p.Research output: Contribution to journal › Article › peer-review
7 Scopus citations -
Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below
Cheeger, J., Jiang, W. & Naber, A., Mar 2021, In: Annals of Mathematics. 193, 2, p. 407-538 132 p.Research output: Contribution to journal › Article › peer-review
7 Scopus citations