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1.  A simplicial foundation for differential and sector forms in tangent categories
   G.S.H. Cruttwell and Rory Lucyshyn-Wright. , 2018. 
2.   Connections in tangent categories
   Robin Cockett and G.S.H. Cruttwell. , Vol. 32 (26), pg. 835-888, 2017
3.  Differential bundles and fibrations for tangent categories
   Robin Cockett and G.S.H. Cruttwell. , Vol. LIX (1) pg. 10-92, 2018. .
4.  The Jacobi identity for tangent categories.
   J.R.B. Cockett and G.S.H. Cruttwell. , Vol. LVI (4) pg. 301--316, 2015. 
5. Cartesian differential categories revisited
   G.S.H. Cruttwell. , 22 pages, 2015. 
6. Differential structure, tangent structure, and SDG
   J.R.B. Cockett and G.S.H. Cruttwell.  Vol. 22 (2), pg. 331-417, 2014. (This has been extensively updated to take into account an earlier paper of Rosicky's. For reference, here is the older version).
7. Forms and exterior differentiation in Cartesian differential categories
   G.S.H. Cruttwell. , Vol. 28, pg. 981-1001, 2013. 
8. Differential Restriction Categories
   J.R.B. Cockett, G.S.H. Cruttwell, and Jonathan Gallagher. , Vol. 25, pp 537-613, 2011. 
9. A Unified Framework for Generalized Multicategories
   G.S.H. Cruttwell and Michael A. Shulman. , Vol. 24, pg. 580-655, 2010. 
10. CCD lattices in Presheaf Categories
    G.S.H. Cruttwell, F. Marmolejo, and R.J. Wood. , Vol. 18, pg. 157-171, 2007. 
11. Dimensions of Fractals in the Large
    M.R. Allen, G.S.H. Cruttwell, K. Hare, J.O. Ronning. , Volume 31 (1), pg. 5-13, 2007. 

Submissions and other works:

1. Affine geometric spaces in tangent categories
   Rick Blute, G.S.H. Cruttwell, and Rory Lucyshyn-Wright. Submitted. 
2. Combinatorial Game Categories
   J.R.B. Cockett, G.S.H. Cruttwell, and Kevin Saff. Under revision. PDF
3. Normed Spaces and the Change of Base for Enriched Categories
   G.S.H. Cruttwell, PhD Thesis, Dalhousie University, 2008.  PDF
4. A Study of CCD Lattices in a Functor Category
   G.S.H. Cruttwell, MSc Thesis, Dalhousie University, 2005. PDF

Talks:

1.  Differential equations in tangent categories
   A talk given at , July 2017.
2.  General connections in tangent categories
   A talk given at , June 2017.
3.  A simplicial framework for de Rham cohomology in a tangent category
   A talk given at , August 2016
4.    The Jacobi identity for tangent categories
   A talk given at , June 2015. 
5. Bundles, pullbacks and fibrations for tangent categories
   A talk given at , June 2015.
6. Counting finite categories
   An invited talk given at the  (special session on New Directions in Category Theory), October 2014. 
7. Structures in tangent categories
   A talk given at , June 2014. 
8. Introducing tangent categories and An alternative view of the tangent category axioms
   Talks given at , June 2014.
9. Connections in tangent categories
   A talk given at the , October 2013. 
10. Tangent categories, vector bundles, and connections
    A talk given in the  at Dalhousie University, September 2013.
11. Differential categories and differential algebra
    An invited talk given at the , May 2013. 
12. An introduction to categories
    A talk given to the Math and Computer Science Society of Mount Allison University, March 2013. 
13. Differential structure, tangent structure, and SDG
    A talk given at , June 2012. 
14. Reconsidering Cartesian differential categories
    A talk given at , February 2012. 
15. A tale of two tangent bundles
    A talk given at , October 2011. 
16. Combining differential categories and manifolds
    An invited talk, given at , June 2011.
17. Embeddings for atlas categories
    A talk given in the , March 2011. 
18. Differential and tangent structure for restriction categories
    A talk given at , October 2010. 
19. Combinatorial Game Categories
    A talk given at , June 2010. 
20. Differential Restriction Categories II
    A talk given at . 
21. A Unified Framework for Generalized Multicategories
    An invited talk given at , June 2010. 
22. T-Monoids and 2-Dimensional Category Theory
    Notes for a series of talks given in the  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). 
23. Combinatorial Game Categories
    A talk given at , November 2009. 
24. A Unified Framework for Generalized Multicategories
    An invited talk given at , June 2009.
25. Change of Base for Enriched Categories
    A talk given at , June 2008.
26. Change of Base and the Amazing Technicolour Double Categories
    A talk given in the , June 2008.
27. Change of Base for Enriched Categories
    A talk given in the , November 2007.
28. Analysis and Enriched Category Theory
    Notes for my  talk, June 2007. 
29. A Look At Some Classical Mathematical Structures
    A talk given in the Dalhousie Honours Mathematics Seminar, February 2007.
30. Summing Cantor Sets: When Does 0+0=2?
    A talk given in the Dalhousie Honours Mathematics Seminar, November 2006.
31. Normed and Ordered Algebraic Structures
    A talk given in the , October 2006.
32. A Category of Games
    A talk given in the Dalhousie Game Theory Seminar, May 2006.
33. A Generalization of Normed Linear Spaces
    A talk given in the , April 2006.
34. CCD Lattices in a Functor Category
    A talk given in the , September 2005.
35. A Category Theory View of Products
    A talk given in the , July 2005.
36. Surreal Numbers
    A talk given in the University of Waterloo Short Attention Span Seminars, November 2003.