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Aaron Charles Naber

  • 361 Citations
20042019

Research output per year

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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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Grants

Singularities and Smoothness in Geometric Partial Differential Equations

Naber, A. C.

National Science Foundation

7/1/18 → 6/30/21

Project: Research project

    • Analysis on Manifolds

    DeMarco, L. G., Getzler, E., Naber, A. C., Weinkove, B. & Wunsch, J.

    National Science Foundation

    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.

    National Science Foundation

    1/15/15 → 12/31/15

    Project: Research project

    Sloan Research Fellowship

    Naber, A. C.

    Alfred P. Sloan Foundation

    9/15/14 → 9/14/18

    Project: Research project

    Ricci Curvature and Geometric Analysis

    Naber, A. C.

    National Science Foundation

    7/1/14 → 6/30/17

    Project: Research project

    Research Output

    • 361 Citations
    • 23 Article
    • 2 Conference contribution
    • 1 Chapter

    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

    • Energy identity for stationary Yang Mills

    Naber, A. C. & Valtorta, D., Jan 1 2019, In : Inventiones Mathematicae.

    Research output: Contribution to journal › Article

    • Quantitative regularity for p-harmonic maps

    Naber, A., Valtorta, D. & Veronelli, G., Jan 1 2019, In : Communications in Analysis and Geometry. 27, 1, p. 111-159 49 p.

    Research output: Contribution to journal › Article

    • Structure theory of metric measure spaces with lower Ricci curvature bounds

    Mondino, A. & Naber, A., Jan 1 2019, In : Journal of the European Mathematical Society. 21, 6, p. 1809-1854 46 p.

    Research output: Contribution to journal › Article

    • 10 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

    • 3 Scopus citations