dpenneys (at) math (dot) berkeley (dot) edu
Mathematics Ph.D. Candidate at the University of California.
Research interests include subfactors, planar algebras, von Neumann algebras, tensor and fusion categories, and knot theory.
Resume (non academic)
Peer reviewed journal articles
David Penneys. A planar calculus for infinite index subfactors. Comm. Math. Phys. (2012) Accepted May 8, 2012. [arXiv]
David Penneys and James Tener, Subfactors of index less than 5, part 4: vines, Internat. J. Math. 23 (2012), no. 3, 1250017 (18 pages) [arXiv, DOI:10.1142/S0129167X11007641]
Scott Morrison, David Penneys, Emily Peters, and Noah Snyder, Subfactors of index less than 5, part 2: triple points, Internat. J. Math. 23 (2012), no. 3, 1250016 (33 pages) [arXiv, DOI:10.1142/S0129167X11007586]
David Penneys, A cyclic approach to the annular Temperley-Lieb category, J. Knot Theory and its Ramifications 21 (2012), no. 6, 1250049 (40 pages) [arXiv, DOI:10.1142/S0218216511010012]
Vaughan F. R. Jones and David Penneys. The embedding theorem for finite depth subfactor planar algebras. Quantum Topol. 2 (2011), 301-337 [arXiv, DOI:10.4171/QT/23]
Vaughan F. R. Jones and David Penneys. Infinite index subfactors and the GICAR algebras. 2011. [pre-preprint]
A book on linear algebra that I wrote Summer 2008 [pdf]
David Penneys. Planar structure for inclusions of von Neumann algebras. 2012. [pdf]
Conference and seminar talks
Purude ECOAS 10/15/2011. Infinite index subfactors and the GICAR algebras [Beamer slides]
Subfactors in Maui 7/18/2011. Infinite index
AMS Joint Meetings, New Orleans 1/8/2011. Eliminating weeds and vines in the classification of subfactors to index 5 [Beamer slides]
University of Tokyo operator algebras seminar 7/8/2010. Killing weeds with annular multiplicities *10
Kyushu University operator algebras seminar 7/26/2010. Killing weeds with annular multiplicities *10
Vanderbilt NCGOA 5/11/2010. The embedding theorem for finite depth subfactor planar algebras [Beamer slides]
IMSC colloquium 2/26/09. Categories and pictures
GWU topology seminar 1/12/2009. Examples of planar algebras
GWU analysis seminar 3/25/2008. Planar algebras and knot polynomials
A pdf file of all conference and seminar talks I have given from 2007-present
Surveys, expository articles, and miscellaneous
Notes from the AIM workshop on classifying fusion categories
Categorified Morita equivalence
Noah Snyder's talk on subfactors and tensor categories at
the 2010 Subfactors in Tahoe retreat
A subfactor planar algebra everyone will understand
A homework problem from Peter Teichner's homological algebra class about Temperley-Lieb diagrams and 2-categories
Qualifying exam syllabus. Passed on August 15, 2007.
Conferences and seminars organized
Subfactors in Tahoe 2010
Subfactors in Tahoe 2011
Subfactors in Maui 2011
Quantum Go Fish
For rules, click here.
Implemented in python code. Currently developing an automated computer player.
last modified: 5/8/2012