Peter Bubenik Ph.D., University of Toronto, 2003

Department of Mathematics   Cleveland State University 2121 Euclid Avenue, RT 1515 Cleveland, Ohio 44115-2214   USA

Office: Rhodes Tower 1523   Phone: 1-216-687-4688   Fax: 1-216-523-7340   Email:

Teaching

Research Interests

• Combining ideas from algebraic topology and geometric statistics to study large, high-dimensional data sets
• Developing a directed version of homotopy theory for the study of concurrent (parallel) computing
• Homotopy theory, differential graded algebras, differential graded Lie algebras, toric topology, quasi-categories
  

A summary of my research projects

CV

Conferences I've co-organized or am co-organizing

• NSF/CBMS conference: Algebraic Topology in Applied Mathematics, Cleveland State University, August 3-7, 2009 Principal speaker: Robert Ghrist (University of Pennsylvania) Organizers: Peter Bubenik and John Oprea (Cleveland State University)
• Data Analysis using Computational Topology and Geometric Statistics, Banff International Research Station (BIRS) March 8-13, 2009 Organizers: Peter Bubenik (Cleveland State University), Gunnar Carlsson (Stanford University), Peter Kim (University of Guelph).

Programs I've attended

• Computational Applications of Algebraic Topology (MSRI, Berkeley) - Fall 2006.
• Thematic Program on Geometric Applications of Homotopy Theory (Fields Institute, Toronto) - Spring 2007.

Conferences and workshops I've attended or will be attending

• Geometric and Topological Methods in Computer Science 2010, Aalborg University, Denmark, January 11-15, 2010.
• The analysis of directional data with applications to biomechanics and biomedical imaging, Centre de recherche mathématiques, University of Montreal, Montreal, Canada, November 25 to 27 2009.
• Workshop on Topological Complexity of Random Sets, American Institute of Mathematics, Palo Alto, CA, August 10-14, 2009.
• AMS Special Session on Topological Methods in Applied Mathematics at the 2009 Joint Mathematics Meetings Washington, DC, January 5-8, 2009.
• Special Session on Homotopy Theory at the 2008 Fall Central Section Meeting Kalamazoo, MI, October 17-19, 2008.
• Algebraic Topological Methods in Computer Sciences 2008, Paris, France, July 7-11, 2008.
• Computational Algebraic Topology, Workshop, Oberwolfach, Germany, June 29 - July 5, 2008.
• Recent Advances in Algebraic Topology, Special Session at an AMS Sectional Meeting, Southeastern Section, Murfreesboro, TN, November 3-4, 2007.
  
• Midwest Topology Seminar, Wayne State, Detroit, MI, April 28-29, 2007.
• The 34th Annual Meeting of the Statistical Society of Canada London, ON, Canada, May 28-31, 2006.
• Homotopy Theory Conference in honor of Joe Neisendorfer's 60th birthday , Montreal, QC, Canada, November 18-20, 2005.
• Conference on Pure and Applied Topology Isle of Skye, Scotland.
• MAT 2005 Seminaire Mediterraneen d'Algebre et Topologie, Nice, France, April 1-2, 2005.
• Invariants algebriques et topologiques du calcul (Algebraic and topological invariants of computation), Montpellier, France
• Ottawa Workshop on the Geometry of Very Large Data Sets, Ottawa, ON, Canada, February 23-25, 2005.
• ATMCS2: Algebraic Topological Methods in Computer Science, II, London, ON, Canada, July 16-20, 2004.
• GETCO 2004: Sixth workshop on Geometric and Topological Methods in Concurrency and Distributed Computing, Amsterdam, Netherlands.
• CAT04: Arolla Conference on Algebraic Topology, Arolla, Switzerland, August 24 - 29, 2004.

Links

• MathSciNet Mathematical Reviews on the Web
• The UC Davis Front-End for arXiv the Mathematics eprint archive
• Topological Methods in Scientific Computing, Statistics and Computer Science at Stanford
• Algebraic Topology Discussion List
• Hopf Topology Archive
• Algebraic Topology and Concurrency (very out of date)
• IGAT Seminaire de Topologie at EPFL
• For anything else of interest