Paul M. N. Feehan

Distinguished Professor of Mathematics
Department of Mathematics
Rutgers, The State University of New Jersey, New Brunswick

Email: feehan [at] math [dot] rutgers [dot] edu
Office: Room 708, Hill Center for Mathematical Sciences; office hours by encouraged appointment!

Slides and Videos of Presentations

• Simons Center for Geometry and Physics, Stony Brook, Gauge Theory and Topology Workshop (April 24-28, 2017)
• SO(3) monopoles and relations between Donaldson and Seiberg-Witten invariants [PDF, Video], April 24, 2017
• Simons Center for Geometry and Physics, Stony Brook, Mathematics of Gauge Fields Program (2016-17).

• Lecture 1 - SO(3) monopoles and relations between Donaldson and Seiberg-Witten invariants [PDF, Video], March 29, 2017
• Lecture 2 - SO(3)-monopole cobordism formula and superconformal simple type [PDF, Video], March 30, 2017
• Lecture 2 - SO(3)-monopole cobordism formula and Witten's Conjecture [PDF, Video], March 30, 2017

Publications

• Preprint versions of all my articles and books are available at the arXiv and published versions are available through AMS MathSciNet (including my Columbia University Ph.D. Thesis) or ORCID
  
• Publication updates can be obtained by following me on Google Scholar or ResearchGate, where links to all preprint and published versions of my articles and books are also available
• Corrigendum to "Energy gap for Yang--Mills connections, II: Arbitrary closed Riemannian manifolds, Advances in Mathematics 312 (2017, pp. 547–587" [pdf]
  

Teaching

• Short reading course on Yang-Mills gauge theory and applications to low-dimensional topology
  
• Fall 2018 course: Math 16:640:549 Lie Groups
• My current graduate teaching schedule and links to my current and previous graduate courses can be found at the Mathematics Graduate Program home page
  
• A list of my previous Ph.D. students and their dissertation titles can be found at the Mathematics Genealogy Project

Seminars Co-organized

• Geometric Analysis seminar with Natasa Sesum
  
• Mathematical Finance, Probability, and Partial Differential Equations seminar with Kihun Nam, Daniel Ocone, and Triet Pham
• Current schedule and abstracts for previous talks in these seminars can be found at the main Seminars and Colloquia page

Conferences Co-organized

• Geometric Analysis Special Session, November 14-15, 2015 with Natasa Sesum and Manousos Maridakis, AMS Fall Sectional Meeting, Rutgers University, New Brunswick
• Geometric Analysis Mini-courses and Workshop, October 27-28, 2016 with Natasa Sesum, Rutgers University, New Brunswick
• Geometric Analysis Mini-courses and Workshop, November 12-13, 2015 with Natasa Sesum, Rutgers University, New Brunswick
• Geometric Analysis and Partial Differential Equations Mini-symposium, December 7-10, 2015, with Brett Kotschwar, Arizona State University, SIAM Conference on Analysis of Partial Differential Equations, Scottsdale, Arizona
• Mathematical Finance and Partial Differential Equations conference, Rutgers University, New Brunswick, May 1, 2015 (and bi-annually from 2009)

Curriculum Vitae

Mail Address

Last updated: July 8, 2022 © Paul M. N. Feehan