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
Fingerprint
- 4 Similar Profiles
Network
Grants
-
Singularities and Smoothness in Geometric Partial Differential Equations
7/1/18 → 6/30/21
Project: Research project
-
Analysis on Manifolds
DeMarco, L. G., Naber, A. C., Weinkove, B., Wunsch, J. & Getzler, E.
7/1/15 → 6/30/21
Project: Research project
-
Emphasis Year in Geometric Analysis at Northwestern University
Naber, A. C., Tosatti, V., Weinkove, B. & Zelditch, S. M.
1/15/15 → 12/31/15
Project: Research project
-
-
Research Output
-
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
1 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
1 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
2 Scopus citations -
Structure theory of metric measure spaces with lower Ricci curvature bounds
Mondino, A. & Naber, A., 2019, In: Journal of the European Mathematical Society. 21, 6, p. 1809-1854 46 p.Research output: Contribution to journal › Article › peer-review
16 Scopus citations -
Characterizations of the Ricci flow
Haslhofer, R. & Naber, A., Jan 1 2018, In: Journal of the European Mathematical Society. 20, 5, p. 1269-1302 34 p.Research output: Contribution to journal › Article › peer-review
3 Scopus citations