Paul M. N. Feehan

628 total citations
28 papers, 174 citations indexed

About

Paul M. N. Feehan is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Paul M. N. Feehan has authored 28 papers receiving a total of 174 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Applied Mathematics, 15 papers in Mathematical Physics and 14 papers in Geometry and Topology. Recurrent topics in Paul M. N. Feehan's work include Nonlinear Partial Differential Equations (13 papers), Geometric and Algebraic Topology (10 papers) and Homotopy and Cohomology in Algebraic Topology (9 papers). Paul M. N. Feehan is often cited by papers focused on Nonlinear Partial Differential Equations (13 papers), Geometric and Algebraic Topology (10 papers) and Homotopy and Cohomology in Algebraic Topology (9 papers). Paul M. N. Feehan collaborates with scholars based in United States and Germany. Paul M. N. Feehan's co-authors include Panagiota Daskalopoulos, P. B. Kronheimer, Tomasz Mrowka, Mark T. Keane, Kevin J. Scully, Stephen Kenny, Frank D. McCann, Brian Sweeney, Jian Song and Richard Wentworth and has published in prestigious journals such as Transactions of the American Mathematical Society, Journal of Differential Equations and Advances in Mathematics.

In The Last Decade

Paul M. N. Feehan

25 papers receiving 161 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Paul M. N. Feehan United States 9 112 79 75 37 27 28 174
Michel Bonnefont France 9 71 0.6× 92 1.2× 189 2.5× 42 1.1× 10 0.4× 19 227
Françoise Dal’Bo France 10 191 1.7× 159 2.0× 98 1.3× 11 0.3× 8 0.3× 26 222
Инканг Ким South Korea 7 116 1.0× 147 1.9× 74 1.0× 14 0.4× 2 0.1× 48 205
Katrin Wehrheim United States 9 169 1.5× 177 2.2× 73 1.0× 32 0.9× 1 0.0× 18 211
Batu Güneysu Germany 8 78 0.7× 49 0.6× 90 1.2× 25 0.7× 28 127
Cheikh Birahim Ndiaye Germany 7 60 0.5× 86 1.1× 189 2.5× 77 2.1× 1 0.0× 27 201
Doug Pickrell United States 8 153 1.4× 87 1.1× 38 0.5× 7 0.2× 3 0.1× 29 206
David A. Croydon United Kingdom 10 189 1.7× 25 0.3× 13 0.2× 32 0.9× 14 0.5× 32 207
Tristan C. Collins United States 7 50 0.4× 124 1.6× 138 1.8× 16 0.4× 26 169
Otis Chodosh United States 9 28 0.3× 104 1.3× 151 2.0× 9 0.2× 2 0.1× 27 162

Countries citing papers authored by Paul M. N. Feehan

Since Specialization
Citations

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

Fields of papers citing papers by Paul M. N. Feehan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Paul M. N. Feehan. 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 Paul M. N. Feehan. The network helps show where Paul M. N. Feehan may publish in the future.

Co-authorship network of co-authors of Paul M. N. Feehan

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

All Works

20 of 20 papers shown
1.
Feehan, Paul M. N.. (2021). Optimal Łojasiewicz–Simon inequalities and Morse–Bott Yang–Mills energy functions. Advances in Calculus of Variations. 15(4). 635–671.
2.
Feehan, Paul M. N., et al.. (2020). Łojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions. Memoirs of the American Mathematical Society. 267(1302). 2 indexed citations
3.
Feehan, Paul M. N., et al.. (2019). The SO(3) monopole cobordism and superconformal simple type. Advances in Mathematics. 356. 106817–106817. 3 indexed citations
4.
Feehan, Paul M. N.. (2017). Energy gap for Yang–Mills connections, II: Arbitrary closed Riemannian manifolds. Advances in Mathematics. 312. 547–587. 7 indexed citations
5.
Feehan, Paul M. N.. (2016). Energy gap for Yang–Mills connections, I: Four-dimensional closed Riemannian manifolds. Advances in Mathematics. 296. 55–84. 6 indexed citations
6.
Daskalopoulos, Panagiota & Paul M. N. Feehan. (2016). C1,1 regularity for degenerate elliptic obstacle problems. Journal of Differential Equations. 260(6). 5043–5074. 4 indexed citations
7.
Feehan, Paul M. N., et al.. (2015). On the martingale problem for degenerate-parabolic partial differential operators with unbounded coefficients and a mimicking theorem for Itô processes. Transactions of the American Mathematical Society. 367(11). 7565–7593. 6 indexed citations
8.
Feehan, Paul M. N., et al.. (2015). Degenerate-elliptic operators in mathematical finance and higher-order regularity for solutions to variational equations. Advances in Differential Equations. 20(3/4). 8 indexed citations
9.
Feehan, Paul M. N., et al.. (2015). Analysis, Complex Geometry, and Mathematical Physics. Contemporary mathematics - American Mathematical Society. 1 indexed citations
10.
Feehan, Paul M. N.. (2013). PARTIAL DIFFERENTIAL OPERATORS WITH NON-NEGATIVE CHARACTERISTIC FORM, MAXIMUM PRINCIPLES, AND UNIQUENESS FOR BOUNDARY VALUE AND OBSTACLE PROBLEMS. arXiv (Cornell University). 4 indexed citations
11.
Feehan, Paul M. N., et al.. (2013). Schauder a priori estimates and regularity of solutions to boundary-degenerate elliptic linear second-order partial differential equations. Journal of Differential Equations. 256(3). 895–956. 12 indexed citations
12.
Feehan, Paul M. N., et al.. (2013). A Schauder approach to degenerate-parabolic partial differential equations with unbounded coefficients. Journal of Differential Equations. 254(12). 4401–4445. 15 indexed citations
13.
Feehan, Paul M. N.. (2012). Maximum principles for boundary-degenerate linear elliptic differential operators. arXiv (Cornell University). 2 indexed citations
14.
Daskalopoulos, Panagiota & Paul M. N. Feehan. (2012). C 1 , 1 regularity for degenerate elliptic obstacle problems in mathematical finance. arXiv (Cornell University). 4 indexed citations
15.
Feehan, Paul M. N., et al.. (2011). Degenerate-parabolic partial differential equations with unbounded coefficients, martingale problems, and a mimicking theorem for Ito processes. arXiv (Cornell University). 3 indexed citations
16.
Feehan, Paul M. N., et al.. (2001). PU (2) monopoles and links of top-level Seiberg-Witten moduli spaces. Journal für die reine und angewandte Mathematik (Crelles Journal). 2001(538). 12 indexed citations
17.
Feehan, Paul M. N.. (1999). A Kato-Yau inequality and decay estimate for harmonic spinors. arXiv (Cornell University). 1 indexed citations
18.
Feehan, Paul M. N., et al.. (1999). {\boldmath{$\operatorname{PU}(2)$} monopoles and a conjecture of Mariño, Moore, and Peradze. Mathematical Research Letters. 6(2). 169–182. 8 indexed citations
19.
Feehan, Paul M. N., et al.. (1998). PU(2) monopoles and relations between four-manifold invariants. Topology and its Applications. 88(1-2). 111–145. 13 indexed citations
20.
Feehan, Paul M. N., et al.. (1997). PU(2) monopoles, II: Highest-level singularities and relations between four-manifold invariants. arXiv (Cornell University). 4 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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