Simona Paoli

  • Lecturer, PhD University of Warwick

Contact Details:
CH102A College House
Department of Mathematics
University of Leicester
LE1 7RH

Email: sp424@le.ac.uk
Telephone: +44(0)116 223 1031

 

Simona Paoli

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Research

My research work is in higher category theory and homotopy theory. I am particularly interested in the interactions between these two areas. I also work on questions in homological algebra.  I have maintained an active involvement in my field via collaborations and research stages at some of the main research centres for my area, such as the Centre for Australian Category Theory  at Macquarie University.

Publications and Preprints

  • S.Paoli, Pseudo-functors modelling higher structures, preprint 2016.
  • S.Paoli, Homotopically discrete higher categorical structures, preprint 2016.
  • S. Paoli, D. Pronk, The weakly globular double category of fractions of a category, Theory and Application of categories, 29 (2014) 696-774.
  • D. Blanc, S. Paoli, Segal-type algebraic models of n-types, Algebraic and Geometric Topology, 14 (2014) 3419-3491.
  • S. Paoli, D. Pronk, A double categorical model of weak 2-categories, Theory and Application of categories, 28, (2013), 933-980.
  • D. Blanc, S. Paoli, Two-track categories, Journal of K-theory, 8(1) (2011), 59-106.
  • 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.
  • S. Paoli,  Weakly globular catn-groups and Tamsamani’s model, Advances in Mathematics, 222, (2009) 621-727.
  • 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.
  • 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,  Journal of Pure and Appl. Algebra, 211, (2007),  801-820.
  • 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  $\pi_1$-module, Homology, Homotopy and  Applications,  5 (1) (2003), 261-296.

Talks

I am an enthusiastic speaker who contributes to the dissemination of knowledge in my field with several talks at international conferences and at Institutions worldwide. See the links below:

Conference and Workshop Talks.

Selected Invited Seminar Talks.

Upcoming Conferences

I am co-organizing the Algebraic Topology Special Session at the 31st Summer Conference on Topology and its Applications, University of Leicester, 2-5 August 2016.

Research Networks

YaMCATS is a LMS-funded research network in category theory between the Universities of Leicester, Leeds and Sheffield.  I am the grant-holder.

Current PhD students

Andrew Smith

Grants

Marie Curie International Reintegration Grant IRG 256341 (2011-2015).

Between 2005-2008 I was principal investigator of the Australian Research Council Postdoctoral  Fellowship  DP0558598  held at Macquarie University.

Teaching

Current teaching: generalized linear models.

Past teaching: Generalized Linear Models, Linear Statistical Models, Calculus, Linear Algebra.

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Contact details

Department of Mathematics
University of Leicester
University Road
Leicester LE1 7RH
United Kingdom

Tel.: +44 (0)116 252 3917
Fax: +44 (0)116 252 3915

Campus Based Courses

Undergraduate: mathsug@le.ac.uk
Postgraduate Taught: mathspg@le.ac.uk

Postgraduate Research: pgrmeccluster@le.ac.uk

Distance Learning Course  

Actuarial Science: actsciadmin@le.ac.uk