Aaron Naber

1.6k total citations
31 papers, 622 citations indexed

About

Aaron Naber is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Aaron Naber has authored 31 papers receiving a total of 622 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Applied Mathematics, 20 papers in Geometry and Topology and 8 papers in Astronomy and Astrophysics. Recurrent topics in Aaron Naber's work include Geometric Analysis and Curvature Flows (26 papers), Geometry and complex manifolds (17 papers) and Nonlinear Partial Differential Equations (9 papers). Aaron Naber is often cited by papers focused on Geometric Analysis and Curvature Flows (26 papers), Geometry and complex manifolds (17 papers) and Nonlinear Partial Differential Equations (9 papers). Aaron Naber collaborates with scholars based in United States, Switzerland and Italy. Aaron Naber's co-authors include Jeff Cheeger, Tobias Colding, Daniele Valtorta, Wenshuai Jiang, Hans‐Joachim Hein, Robert Haslhofer, Elia Brué, Daniele Semola, Gang Tian and Richard P. Martukanitz and has published in prestigious journals such as Annals of Mathematics, Communications on Pure and Applied Mathematics and Inventiones mathematicae.

In The Last Decade

Aaron Naber

26 papers receiving 597 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Aaron Naber United States	13	611	470	258	91	67	31	622
Tapio Rajala Finland	9	353 0.6×	211 0.4×	100 0.4×	96 1.1×	45 0.7×	31	394
Stefano Pigola Italy	13	669 1.1×	426 0.9×	212 0.8×	115 1.3×	138 2.1×	46	689
Themis Koufogiorgos Greece	13	610 1.0×	500 1.1×	324 1.3×	32 0.4×	45 0.7×	22	627
Jeff Viaclovsky United States	12	583 1.0×	377 0.8×	155 0.6×	87 1.0×	137 2.0×	30	619
Guofang Wei United States	15	1.1k 1.7×	797 1.7×	488 1.9×	153 1.7×	104 1.6×	55	1.1k
Kazuo Akutagawa Japan	13	523 0.9×	414 0.9×	195 0.8×	64 0.7×	48 0.7×	41	550
Knut Smoczyk Germany	15	492 0.8×	446 0.9×	164 0.6×	66 0.7×	34 0.5×	39	529
Adara M. Blaga Romania	12	445 0.7×	316 0.7×	366 1.4×	22 0.2×	22 0.3×	83	497
Felix Schulze United Kingdom	10	350 0.6×	266 0.6×	92 0.4×	33 0.4×	49 0.7×	24	360
S.-T. Yau United States	6	442 0.7×	381 0.8×	127 0.5×	170 1.9×	59 0.9×	7	560

Countries citing papers authored by Aaron Naber

Since Specialization

Citations

This map shows the geographic impact of Aaron Naber's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Aaron Naber with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Aaron Naber more than expected).

Fields of papers citing papers by Aaron Naber

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Aaron Naber. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Aaron Naber. The network helps show where Aaron Naber may publish in the future.

Co-authorship network of co-authors of Aaron Naber

This figure shows the co-authorship network connecting the top 25 collaborators of Aaron Naber. A scholar is included among the top collaborators of Aaron Naber based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Aaron Naber. Aaron Naber is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Naber, Aaron, et al.. (2025). Lower Ricci curvature and nonexistence of manifold structure. Geometry & Topology. 29(1). 443–477.

Brué, Elia, Aaron Naber, & Daniele Semola. (2024). Stability of tori under lower sectional curvature. Geometry & Topology. 28(8). 3961–3972.

Naber, Aaron, et al.. (2023). dp–convergence and 𝜖–regularity theorems forentropy and scalar curvature lower bounds. Geometry & Topology. 27(1). 227–350. 7 indexed citations

Jiang, Wenshuai & Aaron Naber. (2021). $L^2$ curvature bounds on manifolds with bounded Ricci curvature. Annals of Mathematics. 193(1). 16 indexed citations

Naber, Aaron. (2020). Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds. Symmetry Integrability and Geometry Methods and Applications. 4 indexed citations

Naber, Aaron & Daniele Valtorta. (2020). The singular structure and regularity of stationary varifolds. Journal of the European Mathematical Society. 22(10). 3305–3382. 14 indexed citations

Naber, Aaron, et al.. (2020). Quantitative Estimates on the Singular Sets of Alexandrov Spaces. 3(2). 203–234. 9 indexed citations

Naber, Aaron, et al.. (2019). Quantitative regularity for p-harmonic maps. BOA (University of Milano-Bicocca). 4 indexed citations

Naber, Aaron & Daniele Valtorta. (2019). Sharp estimates on the first eigenvalue of the $$p$$ p -Laplacian with negative Ricci lower bound. reroDoc Digital Library. 12 indexed citations

10.

Naber, Aaron & Daniele Valtorta. (2019). Energy identity for stationary Yang Mills. Inventiones mathematicae. 216(3). 847–925. 3 indexed citations

11.

Haslhofer, Robert & Aaron Naber. (2018). Characterizations of the Ricci flow. Journal of the European Mathematical Society. 20(5). 1269–1302. 12 indexed citations

12.

Naber, Aaron & Daniele Valtorta. (2016). Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps. Annals of Mathematics. 185(1). 33 indexed citations

13.

Naber, Aaron & Gang Tian. (2016). Geometric structures of collapsing Riemannian manifolds II. Journal für die reine und angewandte Mathematik (Crelles Journal). 2018(744). 103–132. 3 indexed citations

14.

Cheeger, Jeff, Aaron Naber, & Daniele Valtorta. (2015). Critical sets of elliptic equations. BOA (University of Milano-Bicocca). 28 indexed citations

15.

Colding, Tobias & Aaron Naber. (2013). Lower Ricci curvature, branching and the bilipschitz structure of uniform Reifenberg spaces. Advances in Mathematics. 249. 348–358. 5 indexed citations

16.

Hein, Hans‐Joachim & Aaron Naber. (2013). New Logarithmic Sobolev Inequalities and an ɛ‐Regularity Theorem for the Ricci Flow. Communications on Pure and Applied Mathematics. 67(9). 1543–1561. 27 indexed citations

17.

Colding, Tobias & Aaron Naber. (2013). Characterization of Tangent Cones of Noncollapsed Limits with Lower Ricci Bounds and Applications. Geometric and Functional Analysis. 23(1). 134–148. 25 indexed citations

18.

Cheeger, Jeff & Aaron Naber. (2012). Lower bounds on Ricci curvature and quantitative behavior of singular sets. Inventiones mathematicae. 191(2). 321–339. 56 indexed citations

19.

Naber, Aaron. (2010). Noncompact shrinking four solitons with nonnegative curvature. Journal für die reine und angewandte Mathematik (Crelles Journal). 2010(645). 94 indexed citations

20.

Naber, Aaron & Richard P. Martukanitz. (2004). A phase-field model for simulation of the laser cladding process using a discontinuous viscosity variable and its approximation by finite element method. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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