Aaron Charles Naber

  • 331 Citations
20042021
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Personal profile

Education/Academic qualification

Mathematics, PhD, Princeton University

… → 2009

Mathematics, BS, Pennsylvania State University

… → 2005

Fingerprint Dive into the research topics where Aaron Charles Naber is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 5 Similar Profiles
Ricci Curvature Mathematics
Regularity Mathematics
Estimate Mathematics
Stratification Mathematics
Harmonic Maps Mathematics
Singular Set Mathematics
Tangent Cone Mathematics
Critical Set Mathematics

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Grants 2014 2021

Harmonic Maps
Smoothness
Partial differential equation
Singularity
Nonlinear Map
Differential Geometry
Stochastic Geometry
Riemannian geometry
Spectral Theory
Complex Geometry

Sloan Research Fellowship

Naber, A. C.

Alfred P. Sloan Foundation

9/15/149/14/18

Project: Research project

Geometric Analysis
Ricci Curvature
Internal

Research Output 2004 2019

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

Energy identity for stationary Yang Mills

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

Research output: Contribution to journalArticle

Yang-Mills
Energy
Bubble
Quantization
Gauge

Quantitative regularity for p-harmonic maps

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

Research output: Contribution to journalArticle

P-harmonic Maps
Regularity
Harmonic Maps
Generalise
Singular Set
7 Citations (Scopus)

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 journalArticle

Metric Measure Space
Ricci Curvature
Excess
Sobolev spaces
Gradient
3 Citations (Scopus)

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 journalArticle

Ricci Flow
Weak Solution
Path Space
Estimate
Gradient Estimate

Effective Reifenberg theorems in Hilbert and Banach spaces

Edelen, N., Naber, A. C. & Valtorta, D., Jan 1 2018, (Accepted/In press) In : Mathematische Annalen.

Research output: Contribution to journalArticle

Hilbert space
Banach space
Summability
Theorem
Estimate