Ph.D., University of British Columbia (1981)

Thesis: Algebraic homotopy theory, groups and K-theory

**Specializations**: Homotopy Theory, Algebraic Geometry

**Current research interests**

Simplicial sheaves and presheaves, Cohomology of algebraic groups, Motivic homotopy theory, Non-abelian cohomology, Concurrency, Geometry of large data structures.

**Career**

- Chair, Department of Mathematics, University of Western Ontario, 2017-20
- Acting Chair, Department of Mathematics, University of Western Ontario, 2014-16
- Canada Research Chair in Applied Homotopy Theory (Tier 1), University of Western Ontario, 2002-2016
- Professor, University of Western Ontario, 1990-present
- Chair, Department of Mathematics, University of Western Ontario, 1998-2003
- Visiting Professor, University of British Columbia, 1991-1992
- Associate Professor, University of Western Ontario, 1987-1990
- Assistant Professor, University of Western Ontario, 1984-1987
- Dickson Instructor, University of Chicago, 1982-1984
- Research Fellow, University of Toronto, 1981-1982

**Awards, Fellowships**

- Fields Instiute Fellow (Lifetime appointment), 2008
- Distinguished Research Professor, Faculty of Science, Univ. of Western Ontario, 1993-1994
- Coxeter-James Lecturer, CMS Winter Meeting, Montreal, 1992
- Florence Bucke Science Prize, Faculty of Science, Univ. of Western Ontario, 1991
- Alfred P. Sloan Research Fellowship, held at University of Western Ontario, 1987-1989
- NSERC University Research Fellow, Natural Sciences and Engineering Research Council of Canada, held at Univ. of Western Ontario, 1984-1992
- E.B. Eastburn Fellowship, Hamilton Foundation, held at University of Toronto, 1981-1982

**Professional Activity**

- C-organizer, Workshop: "Homotopy type theory", Fields Institute, May 16-20, 2016.
- Co-organizer, Conference: “Topological data analysis and machine learning theory”, BIRS, October, 2012.
- Co-organizer, Conference: “Applied Topology: Methods, Computation and Science” (ATMCS5), ICMS, Edinburgh, July, 2012.
- Co-organizer, Conference "Motivic homotopy theory and geometry", Hausdoff Institute, Bonn, September, 2010.
- Co-organizer, Conference "Homotopy Theory and Derived Algebraic Geometry", Fields Institute, August, 2010.
- Co-organizer, Conference "Applied Topology: Methods, Computations and Science" (ATMCS4), Muenster, June, 2010.
- Director, Winter Meeting of the Canadian Mathematical Society, London, Ontario, December, 2007.
- Lead organizer, Fields Institute Program "Geometric Applications of Homotopy Theory", Fields Institute, January-June, 2007.
- Co-organizer, MSRI Program "Computational Applications of Algebraic Topology", Mathematical Sciences Research Institute, September-December, 2006.
- Lead organizer, Conference: "Algebraic K-theory: 2004", Centre de recherches mathematiques, Montreal, October, 2004.
- Co-organizer, Conference: "Algebraic Topological Methods in Computer Science, II", University of Western Ontario, July, 2004.
- Co-organizer: AIM Workshop "Theory of Motives, Homotopy Theory of Varieties and Dessins d'Enfants", American Insititute of Mathematics, April, 2004.
- Lead organizer: Fields Institute Program "Homotopy Theory and its Applications", University of Western Ontario, September, 2003.
- Co-organizer, Conference: Ninth Great Lakes K-theory Conference, Fields Institute, May, 2003.
- Co-organiser: Workshop on Axiomatic, Enriched and Motivic Homotopy Theory, Newton Institute, Cambridge, September 9-20, 2002.
- Invited participant: Program on New Contexts for Stable Homotopy Theory, Newton Institute, Cambridge, September-December, 2002.
- Member, Organizing Committee: Eighth Great Lakes K-theory Conference, University of Illinois, April, 2002.
- Co-organizer: Ontario Topology Seminar, University of Western Ontario, October, 2001.
- Co-organizer, Conference: "Algebraic Topological Methods in Computer Science" Stanford University, July 30 - August 3, 2001.
- Member, Organizing Committee: Seventh Great Lakes K-theory Conference, Northwestern University, April, 2001.
- Co-organizer, Conference: Ontario Topology Seminar, University of Western Ontario, October, 2000.
- Co-organizer, Conference: Sixth Great Lakes K-theory Conference, Fields Institute, Toronto, March, 2000.
- Member, Organizing Committee: Fourth Great Lakes K-theory Conference, Univ. of Notre Dame, March, 1998.
- Co-organizer, Conference: Ontario Topology Seminar, Fields Institute, Toronto, April, 1997
- Member, Organizing Committee: Third Great Lakes K-theory Conference, Northwestern University, April, 1997.
- Scientific Chair, CMS Winter Meeting, London, December, 1996
- Co-organizer, Conference: Second Great Lakes K-theory Conference, Fields Institute, Toronto, March, 1996.
- Organizer: Joint CMS/Fields Institute Session on Homotopy Theory, CMS Winter Meeting, December, 1995
- Invited visitor, Mathematics Department, Paris VII, May, 1993
- Organizer, Conference: "Algebraic K-theory and Algebraic Topology", NATO ASI, Lake Louise, Alberta, December, 1991
- Organizer: Special Session on Algebraic K-theory, CMS Winter Meeting, University of Waterloo, December, 1990
- Invited visitor, Mathematics Department, Paris VII, June, 1990
- Member, Mathematical Sciences Research Institute, Berkeley, January-March, 1990
- Organizer, Conference: "Algebraic K-theory Impromptu", University of Western Ontario, January, 1989
- Conference organizer: "Algebraic K-theory: Connections with Geometry and Topology", NATO ASI, Lake Louise, December, 1987
- Member, Mathematical Sciences Research Institute, Berkeley, October-November, 1986

- Associate Editor: Homotopy, Homology and Applications, 2002 - present.
- Associate Editor: Canadian Journal of Mathematics, Canadian Mathematical Bulletin, 1995-00.
- Associate Editor: Communications in Algebra, 1990-95.

- Joint administrator (with D. Grayson) for K-theory Preprint Archive, 1994-2012.
- Moderator: CMS Electronic Preprint Server, 1995-96.
- Administrator, Univ. of Western Ontario Mathematics Department web site, 1994-98.

- Member, College or Reviewers, Canada Foundation for Innovation, 2004 - present.
- Member, College of Reviewers, Canada Research Chairs Program, 2000 - present.
- Member, Selection Committee, Early Researcher Award Program, Province of Ontario, 2007-09.
- Member, Grant Selection Committee, Natural Sciences and Engineering Research Council of Canada, 1997-00.
- Member, Canada Foundation for Innovation Steering Committee, Faculty of Science, University of Western Ontario, 1997-98.
- Member, University Research Board, University of Western Ontario, 1994-97.
- Member, Research Committee, Canadian Mathematical Society, 1993-96.
- Member, Board of Directors, Canadian Mathematical Society, 1991-95.

Member of American Mathematical Society, Canadian Mathematical Society, European Mathematical Society.