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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Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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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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Analysis on Manifolds
Getzler, E., DeMarco, L. G., Naber, A. C., Weinkove, B. & Wunsch, J.
7/1/15 → 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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Conjectures and open questions on the structure and regularity of spaces with lower ricci curvature bounds
Naber, A., 2020, In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 16, 104.Research output: Contribution to journal › Article › peer-review
Open Access -
The singular structure and regularity of stationary varifolds
Naber, A. & Valtorta, D., Jul 19 2020, In: Journal of the European Mathematical Society. 22, 10, p. 3305-3382 78 p.Research output: Contribution to journal › Article › peer-review
2 Scopus citations -
Effective Reifenberg theorems in Hilbert and Banach spaces
Edelen, N., Naber, A. & Valtorta, D., Aug 6 2019, In: Mathematische Annalen. 374, 3-4, p. 1139-1218 80 p.Research output: Contribution to journal › Article › peer-review
4 Scopus citations -
Energy identity for stationary Yang Mills
Naber, A. & Valtorta, D., Jan 1 2019, In: Inventiones Mathematicae.Research output: Contribution to journal › Article › peer-review
2 Scopus citations -
Quantitative regularity for p-harmonic maps
Naber, A., Valtorta, D. & Veronelli, G., 2019, In: Communications in Analysis and Geometry. 27, 1, p. 111-159 49 p.Research output: Contribution to journal › Article › peer-review
3 Scopus citations