Brett Kotschwar

432 total citations
13 papers, 213 citations indexed

About

Brett Kotschwar is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Brett Kotschwar has authored 13 papers receiving a total of 213 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Applied Mathematics, 12 papers in Geometry and Topology and 10 papers in Astronomy and Astrophysics. Recurrent topics in Brett Kotschwar's work include Geometric Analysis and Curvature Flows (13 papers), Advanced Differential Geometry Research (10 papers) and Geometry and complex manifolds (10 papers). Brett Kotschwar is often cited by papers focused on Geometric Analysis and Curvature Flows (13 papers), Advanced Differential Geometry Research (10 papers) and Geometry and complex manifolds (10 papers). Brett Kotschwar collaborates with scholars based in United States and Germany. Brett Kotschwar's co-authors include Lei Ni, Lu Wang, Jiaping Wang and Ovidiu Munteanu and has published in prestigious journals such as Journal of Functional Analysis, Pacific Journal of Mathematics and Journal of Differential Geometry.

In The Last Decade

Brett Kotschwar

10 papers receiving 203 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Brett Kotschwar United States	7	211	156	76	31	27	13	213
Hui-Chun Zhang China	10	240 1.1×	130 0.8×	52 0.7×	35 1.1×	34 1.3×	20	251
Shouhei Honda Japan	10	236 1.1×	148 0.9×	73 1.0×	45 1.5×	33 1.2×	32	241
Jianguo Cao United States	10	178 0.8×	155 1.0×	51 0.7×	37 1.2×	20 0.7×	20	209
Jia-Yong Wu China	11	297 1.4×	188 1.2×	57 0.8×	54 1.7×	34 1.3×	44	306
Fabio Cavalletti Italy	9	198 0.9×	101 0.6×	65 0.9×	28 0.9×	22 0.8×	21	205
Jaime Ripoll Brazil	7	165 0.8×	109 0.7×	53 0.7×	16 0.5×	44 1.6×	40	176
Robert Haslhofer Canada	8	214 1.0×	182 1.2×	96 1.3×	23 0.7×	12 0.4×	22	215
Hilário Alencar Brazil	10	294 1.4×	232 1.5×	108 1.4×	20 0.6×	18 0.7×	31	302
Barbara Nelli Italy	8	216 1.0×	167 1.1×	45 0.6×	17 0.5×	44 1.6×	26	228
Damin Wu United States	12	321 1.5×	291 1.9×	69 0.9×	45 1.5×	15 0.6×	22	340

Countries citing papers authored by Brett Kotschwar

Since Specialization

Citations

This map shows the geographic impact of Brett Kotschwar'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 Brett Kotschwar with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Brett Kotschwar more than expected).

Fields of papers citing papers by Brett Kotschwar

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Brett Kotschwar. 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 Brett Kotschwar. The network helps show where Brett Kotschwar may publish in the future.

Co-authorship network of co-authors of Brett Kotschwar

This figure shows the co-authorship network connecting the top 25 collaborators of Brett Kotschwar. A scholar is included among the top collaborators of Brett Kotschwar 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 Brett Kotschwar. Brett Kotschwar is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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13 of 13 papers shown

1.

Kotschwar, Brett, et al.. (2025). Ricci Solitons in Dimensions 4 and Higher. Mathematical surveys and monographs.

2.

Kotschwar, Brett & Lu Wang. (2024). Isometries of asymptotically conical shrinking Ricci solitons. Communications in Analysis and Geometry. 32(1). 1–19.

3.

Kotschwar, Brett & Lu Wang. (2024). A uniqueness theorem for asymptotically cylindrical shrinking Ricci solitons. Journal of Differential Geometry. 126(1).

4.

Kotschwar, Brett, Ovidiu Munteanu, & Jiaping Wang. (2016). A local curvature estimate for the Ricci flow. Journal of Functional Analysis. 271(9). 2604–2630. 9 indexed citations

5.

Kotschwar, Brett & Lu Wang. (2015). Rigidity of asymptotically conical shrinking gradient Ricci solitons. Journal of Differential Geometry. 100(1). 28 indexed citations

6.

Kotschwar, Brett. (2015). Time-analyticity of solutions to the Ricci flow. American Journal of Mathematics. 137(2). 535–576. 3 indexed citations

7.

Kotschwar, Brett. (2014). An energy approach to the problem of uniqueness for the Ricci flow. Communications in Analysis and Geometry. 22(1). 149–176. 10 indexed citations

8.

Kotschwar, Brett. (2012). Ricci flow and the holonomy group. Journal für die reine und angewandte Mathematik (Crelles Journal). 2014(690). 133–161. 4 indexed citations

9.

Kotschwar, Brett. (2010). Backwards Uniqueness for the Ricci Flow. International Mathematics Research Notices. 30 indexed citations

10.

Kotschwar, Brett & Lei Ni. (2009). Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula. Annales Scientifiques de l École Normale Supérieure. 42(1). 1–36. 66 indexed citations

11.

Kotschwar, Brett. (2008). On rotationally invariant shrinking Ricci solitons. Pacific Journal of Mathematics. 236(1). 73–88. 23 indexed citations

12.

Kotschwar, Brett. (2007). Hamilton’s gradient estimate for the heat kernel on complete manifolds. Proceedings of the American Mathematical Society. 135(9). 3013–3019. 39 indexed citations

13.

Kotschwar, Brett. (2007). Some results on the qualitative behavior of solutions to the Ricci flow and other geometric evolution equations. eScholarship (California Digital Library). 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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