Contact

Teaching

Publications and Talks

CV

Links

Home

 

Publications:

  1. Differential Restriction Categories
    J.R.B. Cockett, G.S.H. Cruttwell, and Jonathan Gallagher. Submitted to Theory and Applications of Categories, November 2010.
  2. A Unified Framework for Generalized Multicategories
    G.S.H. Cruttwell and Michael A. Shulman. Theory and Applications of Categories, Vol. 24 (2010) pp 580-655.
  3. Combinatorial Game Categories
    J.R.B. Cockett, G.S.H. Cruttwell, and Kevin Saff. Submitted to Mathematical Structures in Computer Science, March 2010.
  4. Normed Spaces and the Change of Base for Enriched Categories
    G.S.H. Cruttwell, PhD Thesis, Dalhousie University, 2008.
  5. CCD lattices in Presheaf Categories
    G.S.H. Cruttwell, F. Marmolejo, and R.J. Wood. Theory and Applications of Categories, Vol. 18 (2007) pp 157-171.
  6. A Study of CCD Lattices in a Functor Category
    G.S.H. Cruttwell, MSc Thesis, Dalhousie University, 2005.
  7. Dimensions of Fractals in the Large
    M.R. Allen, G.S.H. Cruttwell, K. Hare, J.O. Ronning. Chaos, Solitons, and Fractals, Volume 31, Issue 1: 5-13, 2007.

Talks:

  1. Embeddings for atlas categories
    A talk given in the Calgary Peripatetic Seminar in Logic and Category Theory, March 2011.
  2. Differential and tangent structure for restriction categories
    A talk given at Octoberfest 2010, October 2010.
  3. Combinatorial Game Categories
    A talk given at Category Theory 2010, June 2010.
  4. Differential Restriction Categories II
    A talk given at FMCS, June 2010.
  5. A Unified Framework for Generalized Multicategories
    An invited talk given at CMS 2010 Summer Meeting (Tensor categories session) , June 2010.
  6. T-Monoids and 2-Dimensional Category Theory
    Notes for a series of talks given in the Calgary Peripatetic Seminar in Logic and Category Theory on enriched categories, internal categories, 2-categories, and double categories, leading to the main construction in "A Unified Framework for Generalized Multicategories" (updated to December 9, 2009).
  7. Combinatorial Game Categories
    A talk given at Novemberfest 2009, November 2009.
  8. A Unified Framework for Generalized Multicategories
    An invited talk given at CT2009, June 2009.
  9. Change of Base for Enriched Categories
    A talk given at CT2008, June 2008.
  10. Change of Base and the Amazing Technicolour Double Categories
    A talk given in the Atlantic Category Theory Seminar, June 2008.
  11. Change of Base for Enriched Categories
    A talk given in the Atlantic Category Theory Seminar, November 2007.
  12. Analysis and Enriched Category Theory
    Notes for my CT2007 talk, June 2007.
  13. A Look At Some Classical Mathematical Structures
    A talk given in the Dalhousie Honours Mathematics Seminar, February 2007.
  14. Summing Cantor Sets: When Does 0+0=2?
    A talk given in the Dalhousie Honours Mathematics Seminar, November 2006.
  15. Normed and Ordered Algebraic Structures
    A talk given in the Atlantic Category Theory Seminar, October 2006.
  16. A Category of Games
    A talk given in the Dalhousie Game Theory Seminar, May 2006.
  17. A Generalization of Normed Linear Spaces
    A talk given in the Atlantic Category Theory Seminar, April 2006.
  18. CCD Lattices in a Functor Category
    A talk given in the Atlantic Category Theory Seminar, September 2005.
  19. A Category Theory View of Products
    A talk given in the Dalhousie Mathematics and Statistics Graduate Student Seminar, July 2005.
  20. Surreal Numbers
    A talk given in the University of Waterloo Short Attention Span Seminars, November 2003.

Do not worry about your problems with mathematics, I assure you mine are far greater. - Albert Einstein