William Wylie

1.6k total citations · 1 hit paper
24 papers, 818 citations indexed

About

William Wylie is a scholar working on Applied Mathematics, Astronomy and Astrophysics and Geometry and Topology. According to data from OpenAlex, William Wylie has authored 24 papers receiving a total of 818 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Applied Mathematics, 19 papers in Astronomy and Astrophysics and 19 papers in Geometry and Topology. Recurrent topics in William Wylie's work include Geometric Analysis and Curvature Flows (23 papers), Geometry and complex manifolds (18 papers) and Advanced Differential Geometry Research (17 papers). William Wylie is often cited by papers focused on Geometric Analysis and Curvature Flows (23 papers), Geometry and complex manifolds (18 papers) and Advanced Differential Geometry Research (17 papers). William Wylie collaborates with scholars based in United States, Canada and India. William Wylie's co-authors include Guofang Wei, Peter Petersen, Eric Woolgar, Jia-Yong Wu, Marcus Khuri, Erin Griffin and Ramesh Sharma and has published in prestigious journals such as Journal of Mathematical Physics, Pacific Journal of Mathematics and Journal of Differential Geometry.

In The Last Decade

William Wylie

24 papers receiving 752 citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Comparison geometry for the Bakry-Emery Ricci tensor

2009 318 citations Guofang Wei, William Wylie profile →

Peers

William Wylie

AM

GT

AA

MP

NHEP

Nataša Šešum United States

Guofang Wei United States

Andrea Mondino United Kingdom

Christine Guenther United States

Giovanni Calvaruso Italy

F. Tricerri Italy

Adara M. Blaga Romania

Stere Ianuş Romania

Sorin Dragomir Italy

Kouei Sekigawa Japan

Nataša Šešum United States

William Wylie

658 ×0.8

AM

563 ×0.9

GT

292 ×0.6

AA

66 ×1.3

MP

13 ×0.3

NHEP

Citations per year, relative to William Wylie William Wylie (= 1×) peers Nataša Šešum

Countries citing papers authored by William Wylie

Since Specialization

Citations

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

Fields of papers citing papers by William Wylie

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of William Wylie

This figure shows the co-authorship network connecting the top 25 collaborators of William Wylie. A scholar is included among the top collaborators of William Wylie 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 William Wylie. William Wylie 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

1.

Griffin, Erin, et al.. (2025). Extended Solitons of the Ambient Obstruction Flow. Journal of Geometric Analysis. 35(5). 1 indexed citations

2.

Petersen, Peter, et al.. (2023). Holonomy restrictions from the curvature operator of the second kind. Differential Geometry and its Applications. 88. 102010–102010. 7 indexed citations

3.

Wylie, William. (2023). Rigidity of compact static near-horizon geometries with negative cosmological constant. Letters in Mathematical Physics. 113(2). 4 indexed citations

4.

Woolgar, Eric & William Wylie. (2018). Curvature-dimension bounds for Lorentzian splitting theorems. Journal of Geometry and Physics. 132. 131–145. 8 indexed citations

5.

Wu, Jia-Yong, et al.. (2018). Gradient shrinking Ricci solitons of half harmonic Weyl curvature. Calculus of Variations and Partial Differential Equations. 57(5). 12 indexed citations

6.

Wylie, William, et al.. (2017). Positive weighted sectional curvature. Indiana University Mathematics Journal. 66(2). 419–462. 5 indexed citations

7.

Woolgar, Eric & William Wylie. (2016). Cosmological singularity theorems and splitting theorems for N-Bakry-Émery spacetimes. Journal of Mathematical Physics. 57(2). 13 indexed citations

8.

Wylie, William. (2015). Some curvature pinching results for Riemannian manifolds with density. Proceedings of the American Mathematical Society. 144(2). 823–836. 1 indexed citations

9.

Petersen, Peter, et al.. (2015). Warped product rigidity. Asian Journal of Mathematics. 19(1). 135–170. 4 indexed citations

10.

Wylie, William. (2015). Sectional curvature for Riemannian manifolds with density. Geometriae Dedicata. 178(1). 151–169. 12 indexed citations

11.

Petersen, Peter, et al.. (2014). Warped product Einstein metrics over spaces with constant scalar curvature. Asian Journal of Mathematics. 18(1). 159–190. 11 indexed citations

12.

Petersen, Peter, et al.. (2014). Uniqueness of Warped Product Einstein Metrics and Applications. Journal of Geometric Analysis. 25(4). 2617–2644. 4 indexed citations

13.

Petersen, Peter, et al.. (2013). Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons. Journal für die reine und angewandte Mathematik (Crelles Journal). 2015(707). 217–245. 13 indexed citations

14.

Petersen, Peter, et al.. (2012). On the classification of warped product Einstein metrics. Communications in Analysis and Geometry. 20(2). 271–311. 68 indexed citations

15.

Petersen, Peter, et al.. (2011). The Space of Virtual Solutions to the Warped Product Einstein Equation. Syracuse University Libraries (Syracuse University). 5 indexed citations

16.

Petersen, Peter & William Wylie. (2009). Rigidity of gradient Ricci solitons. Pacific Journal of Mathematics. 241(2). 329–345. 150 indexed citations

17.

Petersen, Peter & William Wylie. (2009). On gradient Ricci solitons with symmetry. Proceedings of the American Mathematical Society. 137(6). 2085–2092. 79 indexed citations

18.

Wylie, William. (2007). Complete shrinking Ricci solitons have finite fundamental group. Proceedings of the American Mathematical Society. 136(5). 1803–1806. 54 indexed citations

19.

Wei, Guofang & William Wylie. (2007). Comparison Geometry for the Smooth Metric Measure Spaces. 21 indexed citations

20.

Wylie, William. (2006). Noncompact manifolds with nonnegative Ricci curvature. Journal of Geometric Analysis. 16(3). 535–550. 7 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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