Dave Penneys
dpenneys (at) math (dot) berkeley (dot) edu
rock and roll golden bearathlon fuji
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.
Music
Mathematics teaching
Mathematics research





Resume (non academic)
Curriculum Vitae


Publications

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]

    arXiv preprints


    Pre-preprints
  • 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]

    Dissertation
  • David Penneys. Planar structure for inclusions of von Neumann algebras. 2012. [pdf]



    Conference and seminar talks
    Invited 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
  • Cyclic homology
  • 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