Peter Bubenik

Ph.D., University of Toronto, 2003

Associate Professor

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

In Spring 2012, I am on sabbatical.

Research Interests

My current research focus is on applied topology. Particularly,

combining ideas from topology and statistics to study large, complex, high-dimensional data sets;
developing a more general framework in which some of the tools of applied topology can be applied; and
using ideas from algebraic topology and category theory to study concurrent (parallel) computing.

I am also interested in homotopy theory.

An old summary of my research projects

in pdf format

CV

in pdf format

Papers

Talks

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 or hope to participate in

IMA Thematic Year on Scientific and Engineering Applications of Algebraic Topology, Institute for Mathematics and its Applications, Minnesota, September 1, 2013 – June 30, 2014.
Thematic Program on Geometric Applications of Homotopy Theory (Fields Institute, Toronto) - Spring 2007.
Computational Applications of Algebraic Topology (MSRI, Berkeley) - Fall 2006.

Conferences and workshops I've attended or will be attending

Workshop on Rational homotopy theory and its applications, University of Ottawa, Canada, May 29-31, 2012.
Statistics, Geometry, and Combinatorics on Stratified Spaces Arising from Biological Problems, Mathematical Biosciences Institute, Ohio State University, Columbus, OH, May 21 - 25, 2012.
Applications of Combinatorial Topology to Computer Science, Schloss Dagstuhl, Germany, March 18 - 23, 2012.
AMS Special Session on Computational and Applied Topology, Joint Mathematics Meetings, Boston, MA, January 4 - 7, 2012.
Workshop on Computational Topology, The Fields Institute, Toronto, ON, Canada, November 7-11, 2011.
Workshop in Algebraic and Random Topology, University of Chicago, April 18-22, 2010.
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 - 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.