Click here for homepage with most of these articles
Thomas M. Fiore, Wolfgang Lück, and Roman Sauer. Euler Characteristics of Categories and Homotopy Colimits. 43 pages. arXiv:1007.3868
Thomas M. Fiore, Nicola Gambino, and Joachim Kock. Monads in Double Categories. To appear in the Journal of Pure and Applied Algebra. 31 pages. arXiv:1006.0797
Thomas M. Fiore, Wolfgang Lück, and Roman Sauer. Finiteness obstructions and Euler characteristics of categories. 87 pages. arxiv:0908.3417
Thomas M. Fiore and Simona Paoli. A Thomason Model Structure on the Category of Small n-fold Categories. 77 pages. arXiv:0808.4108
Thomas M. Fiore and Igor Kriz. What is the Jacobian of a Riemann Surface with Boundary?. Proceedings of the 2007 Max-Planck Workshop on Hochschild and Cyclic (co-)homology and Applications to Geometry and Physics, Aspects of Mathematics, Viehweg, Braunschweig. 27 pages. arXiv:math/0610463
Thomas M. Fiore, Simona Paoli, and Dorette Pronk. Model Structures on the Category of Small Double Categories. Algebraic and Geometric Topology, Volume 8, Number 4, pages 1855–1959, 2008. 103 pages.
Thomas M. Fiore, Po Hu, and Igor Kriz. Laplaza Sets, or How to Select Coherence Diagrams for Pseudo Algebras. Advances in Mathematics, Volume 218, Number 6, pages 1705-1722, 2008. 17 pages.
Alissa Crans, Thomas M. Fiore, and Ramon Satyendra. Musical Actions of Dihedral Groups. American Mathematical Monthly, Volume 116, Number 6, June-July 2009, pp. 479-495. 17 pages.
Thomas M. Fiore. Pseudo Algebras and Pseudo Double Categories. Journal of Homotopy and Related Structures, Volume 2, Number 2, pages 119-170, 2007. 51 pages.
Thomas M. Fiore. On the Cobordism and Commutative Monoid with Cancellation Approaches to Conformal Field Theory. Journal of Pure and Applied Algebra, Volume 209 Number 3, pages 583-620, 2007. 37 pages.
Thomas M. Fiore. Pseudo Limits, Biadjoints, and Pseudo Algebras: Categorical Foundations of Conformal Field Theory. Memoirs of the American Mathematical Society 182 (2006), no. 860. 171 pages. math.CT/0408298
Thomas M. Fiore and Ramon Satyendra. Generalized Contextual Groups. Music Theory Online, Volume 11, Number 3, September 2005. 29 pages. Free article on MTO website