A characterization of the critical catenoid P McGrath Indiana Univ. Math. J. 67 (2), 889-897, 2018 | 41 | 2018 |
Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere, I N Kapouleas Journal of Differential Geometry 106 (3), 393-449, 2017 | 30 | 2017 |
Generalizing the Linearized Doubling approach, I: General theory and new minimal surfaces and self-shrinkers N Kapouleas, P McGrath arXiv preprint arXiv:2001.04240, 2020 | 23* | 2020 |
Free boundary minimal surfaces in the unit ball with low cohomogeneity B Freidin, M Gulian, P McGrath Proceedings of the American Mathematical Society 145 (4), 1671-1683, 2017 | 21 | 2017 |
Minimal Surfaces in the Round Three‐Sphere by Doubling the Equatorial Two‐Sphere, II N Kapouleas, P McGrath Communications on Pure and Applied Mathematics 72 (10), 2121-2195, 2019 | 19 | 2019 |
Rotational symmetry of asymptotically conical mean curvature flow self-expanders FTH Fong, P McGrath Communications in Analysis and Geometry 27 (3), 599-618, 2019 | 14 | 2019 |
Closed mean curvature self-shrinking surfaces of generalized rotational type P McGrath arXiv preprint arXiv:1507.00681, 2015 | 11 | 2015 |
On free boundary minimal annuli embedded in the unit ball R Kusner, P McGrath arXiv preprint arXiv:2011.06884, 2020 | 10 | 2020 |
On the Canham problem: bending energy minimizers for any genus and isoperimetric ratio R Kusner, P McGrath Archive for Rational Mechanics and Analysis 247 (1), 10, 2023 | 9 | 2023 |
On Steklov eigenspaces for free boundary minimal surfaces in the unit ball R Kusner, P McGrath arXiv preprint arXiv:2011.06884, 2020 | 8 | 2020 |
Sharp area bounds for free boundary minimal surfaces in conformally euclidean balls B Freidin, P McGrath International Mathematics Research Notices, 2018 | 7 | 2018 |
Area bounds for free boundary minimal surfaces in a geodesic ball in the sphere B Freidin, P McGrath Journal of Functional Analysis 277 (11), 108276, 2019 | 6 | 2019 |
An extremely short proof of the hairy ball theorem P McGrath The American Mathematical Monthly 123 (5), 502-503, 2016 | 5 | 2016 |
Symmetry and Isoperimetry for Riemannian Surfaces J Ansel Hoisington, P McGrath arXiv e-prints, arXiv: 2006.08451, 2020 | 4* | 2020 |
On the smooth jordan brouwer separation theorem P McGrath The American Mathematical Monthly 123 (3), 292-295, 2016 | 4 | 2016 |
Another Proof of Clairaut's Theorem PJ McGrath The American Mathematical Monthly 121 (2), 165-166, 2014 | 4 | 2014 |
Free boundary minimal annuli immersed in the unit 3-ball N Kapouleas, P McGrath arXiv preprint arXiv:2212.09680, 2022 | 3 | 2022 |
An Isoperimetric Deficit Formula P McGrath The Journal of Geometric Analysis, 1-7, 2020 | 2 | 2020 |
On the Areas of Genus Zero Free Boundary Minimal Surfaces Embedded in the Unit 3-Ball P McGrath, J Zou The Journal of Geometric Analysis 34 (9), 274, 2024 | 1 | 2024 |
A Note Regarding Hopf's Umlaufsatz P McGrath The American Mathematical Monthly 125 (6), 541-544, 2018 | 1 | 2018 |