Research Fellow, PhD University of Warwick

Contact Details: CH105 College House Department of Mathematics University of Leicester LE1 7RH Email: sp424@le.ac.uk Telephone: +44(0)116 252 3881 Personal information: I am a Research Fellow in the Department of Mathematics at the University of Leicester and the holder of a Marie Curie International Reintegration Grant from the European Community.

Research interests

My research work is in homotopy and higher category theory. I am particularly interested in the interactions between these two areas. I also work on questions in homological algebra.

Summary of past research activities

I have maintained an active involvement in my field via collaborations, research positions and academic visits to some of the main research centres for my area, such as the Centre for Australian Category Theory (Macquarie University, Sydney, Australia).

I participated in various special-year programs in homotopy theory and higher category theory (Fields Institute Toronto 2007, CRM Barcelona 2007-2008). I have contributed to the dissemination of knowledge in my field with several talks at international conferences and at Institutions throughout Europe, North America and Australia.

Teaching

I am currently teaching MA3201 Generalized Linear Models

Publications

• T. M. Fiore, S. Paoli, A Thomason model structure on the category of small n-fold categories, Algebraic and Geometric Topology, 10 (2010), 1933-2008.
• D. Blanc, S. Paoli, Two-track categories,  Journal of K-theory, doi:10.1017/is010003020jkt116, published online on 5 May 2010.
• S. Paoli,  Weakly globular catn-groups and Tamsamani’s model, Advances in Mathematics, 222, (2009) 621-727.
• T. M.  Fiore, S. Paoli, D. A.  Pronk,  Model structures on the category of small double categories, Algebraic and Geometric Topology, 8 (2008) 1855-1959.
• S. Lack, S. Paoli,  2-nerves for bicategories, K-theory, 38 (2), (2008), 153-175.
• S. Paoli,  Semistrict models of connected 3-types and Tamsamani weak 3-groupoids,  J.of Pure and Appl. Algebra, 211, (2007),  801-820.
• S. Paoli,  Internal categorical structures, ‘Towards Higher Categories’, The IMA volumes in Mathematics and its applications,  edited  J. C. Baez and J. P. May, Springer (2009), 85-103.
• S. Lack, S. Paoli, An operadic approach to internal structures, Applied Categorical Structures, 13 (3), (2005), 205-222.
• S. Paoli  On the non-balanced property of the category of crossed modules in groups, Journal of Pure and Appl. Algebra, 197, (1-3) , (2005), 19-22.
• S. Paoli, (Co)homology of crossed modules with coefficients in a  -module, Homology, Homotopy and  Applications,  5 (1) (2003), 261-296

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