Marta Bunge is a Canadian mathematician. Her research includes fibered categories, stacks and groupoids, topos theory, geometric Galois theory of covering spaces…
Categories of Set-Valued Functors, thesis, University of Pennsylvania, 1966
Relative functor categories and categories of algebras, J. of Algebra 11,1 (1969), 64-101, MR236238 doi
Internal presheaves toposes, Cahiers de Top. et Géom. Diff. Catég. 18, no. 3 (1977), p. 291-330 numdam MR460417
Stack completions and Morita equivalence for categories in a topos, Cahiers de Top. et Géom. Diff. Catég. 20, no. 4 (1979), p. 401-436 numdam MR558106
Marta Bunge, Stacks and equivalence of indexed categories Cahiers de Top. et Géom. Diff. Catég. 20, no. 4 (1979), p. 373-399 numdam MR558105
Marta Bunge, Eduardo Dubuc, Archimedian local $C^\infty$-rings and models of synthetic differential geometry Cahiers de Topologie et Géométrie Différentielle Catégoriques 27, no. 3 (1986), p. 3-22, numdam
Marta Bunge, Aurelio Carboni, The symmetric topos, J. Pure Appl. Algebra 105 (1995), no. 3, 233–249, MR96i:18004, doi
Marta Bunge, Steve Lack, van Kampen theorem for toposes, ps
Marta Bunge, Jonathan Funk, Singular coverings of toposes, Springer Lect. Notes in Math. 1890, (2006); Quasi locally connected toposes, Theory Appl. Categ. 18 (2007), No. 8, 209–239, pdf
Galois groupoids and covering morphisms in topos theory, Galois theory, Hopf algebras, and semiabelian categories, 131–161, Fields Inst. Commun. 43, Amer. Math. Soc. 2004, links.
Classifying toposes and fundamental localic groupoids, Category theory 1991 (Montreal, PQ, 1991), 75–96, CMS Conf. Proc. 13, Amer. Math. Soc. 1992.
Marta Bunge, Claudio Hermida, Pseudomonodacity and 2-stack completions, in Models, Logics, and Higher-Dimensional Categories, CRM Proceedings and Lecture Notes 53, pp. 29-54, Amer. Math. Soc. 2011.
Marta Bunge reported at the category conference in Calais in June 2008 about her joint work with Claudio Hermida about some aspects of Diaconescu-type results in categorical dimension 2. Her slides from Calais can be found here. There are also some conjectural statements about higher n, with an interesting definition when an n-functor between strict n-categories should be called a fibered n-category.