A characterization of the critical catenoid P McGrath
Indiana Univ. Math. J. 67 (2), 889-897, 2018
40 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
28 2017 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
20 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
19 * 2020 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
18 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
15 2019 On free boundary minimal annuli embedded in the unit ball R Kusner, P McGrath
arXiv preprint arXiv:2011.06884, 2020
10 2020 Closed mean curvature self-shrinking surfaces of generalized rotational type P McGrath
arXiv preprint arXiv:1507.00681, 2015
9 2015 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
7 2023 On Steklov eigenspaces for free boundary minimal surfaces in the unit ball R Kusner, P McGrath
arXiv preprint arXiv:2011.06884, 2020
7 2020 Sharp area bounds for free boundary minimal surfaces in conformally euclidean balls B Freidin, P McGrath
International Mathematics Research Notices, 2018
6 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
5 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 -ball P McGrath, J Zou
arXiv preprint arXiv:2301.01892, 2023
1 2023 A Note Regarding Hopf's Umlaufsatz P McGrath
The American Mathematical Monthly 125 (6), 541-544, 2018
1 2018