Simona Paoli

Lecturer

Bennet Link G57

Department of Mathematics
University of Leicester
LE1 7RH

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

Personal details

• PhD University of Warwick 

Latest updates:

• I joined the editorial board of the journal Compositionality
• First Symposium on Compositional Structures SYCO 1
• New arXiv preprint 'D.Blanc, S.Paoli, Comonad cohomolog of track categories'

Links to

Research Area

Publications

Networks, Seminar and Conference Organization

Supervision

Grants

Conference and workshop talks

Selected invited seminar talks

Teaching

Administration

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 of Australian Category Theory at Macquarie University.

Publications and Preprints

• D.Blanc, S.Paoli, Comonad cohomology of track categories, preprint 2018 arXiv.1801.05065
• S.Paoli, Segal-type models of higher categories, preprint 2017, (310 pages)  arXiv.1707.01868.
• S.Paoli, Weakly globular N-fold categories as a model of weak N-categories, preprint 2016, arXiv.1609.04072.
• S.Paoli, Weakly globular Tamsamani N-categories and their rigidification, preprint 2016, arXiv.1607.04870.
• S.Paoli, Pseudo-functors modelling higher structures, preprint 2016, arXiv 1605.06895.
• S.Paoli, Homotopically discrete higher categorical structures, preprint 2016, arXiv 1605.05112
• 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.

Networks, Seminar and Conference Organization

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

Conferences and workshops (co-organised)

• 32nd British Topology Meeting, University of Leicester, 6-8 September 2017.
• Algebraic Topology Session at the 31st Summer Conference on Topology and its Applications, University of Leicester, 2-5 August 2016
• YaMCATS meetings, 2014 - present
• TTT93, University of Leicester, 12 November 2014

Conference on which I am programme committee member

• First Symposium on Compositional Structures, SYCO 1, University of Birmingham, September 2018.

Seminar on Category Theory and its applications

I am organising, together with Alexander Kurz, the Seminar on Category Theory and its applications.

Editorial duties

I am an editor for the journal Compositionality. This is an inter-disciplinary journal for research using compositional ideas, notably of category-theoretic origin, in sciences. The journal also accepts submissions in pure category theory.

Grants

• LMS Scheme 3 grant for YaMCATS network, 2014-present
• LMS Scheme 1 conference grant, 2016
• EU Marie Curie International Reintegration Grant HOMALGHIGH (2011-2015).
• Between 2005-2008, I was principal investigator of the Australian Research Council Postdoctoral Fellowship DP0558598 held at Macquarie University.

Upcoming Collaborative Workshop

I will be one of the team leaders for the programme Women in Topology, Hausdorff Research Institute for Mathematics, August 2019.

Conference and workshop talks

Selected invited seminar talks

• Category theory seminar, University of Cambridge, March 2018.
• Semantics Seminar, University Paris-Diderot, November 2017.
• Theoretical computer science seminar, University of Birmingham, November 2017.
• Algebra Seminar, University of Leeds, May 2017.
• Topology Seminar, University of Haifa, April 2017.
• Pure Mathematics Colloquium, Queen's University Belfast, March 2017.
• Pure Mathematics Colloquium, Lancaster University, March 2017.
• Oxford Advanced Seminar on Informatics Structures, University of Oxford, February 2017.
• Algebra and Topology Seminar, Swansea University, January 2017.
• Topology and Geometry Seminar, University of Haifa (Israel), August 2016
• Topology Seminar, The Hebrew University (Israel), August 2016
• Topology Seminar, University of Chicago (USA) series of 3 talks, April 2016
• Category Theory Seminar, University of Cambridge (UK), March 2016
• Australian Category Seminar, Macquarie University (Australia), series of 9 talks between August-December 2015
• Topology Seminar, Australian National University (Australia), November 2015
• Differential Geometry Seminar, University of Adelaide (Australia), Nov. 2015
• Topology seminar, University of Sheffield (UK) May 2015
• Department Colloquium, University of Kent (UK) December 2014
• Category theory seminar, University of Milano (Italy)  March 2014
• London Algebra colloquium, Queen Mary University of London (UK) March 2014
• Topology Seminar, Universitat Autonoma Barcelona (Spain), January 2014
• Mathematics Department Colloquium, Dalhousie University (Canada), June 2012
• Topology Seminar, University of Manchester (UK), March 2012
• Deformation Theory Seminar, University of Pennsylvania (USA), May 2010
• Topology Seminar, Northwestern University (USA), May  2010
• Topology Seminar, MIT (USA),  February 2010
• Topology Seminar, University of Illinois at Urbana-Champaign (USA), Dec. 2009
• Topology Seminar, University of Chicago (USA), November 2009
• Homotopy Theory Seminar, The Hebrew University (Israel),  December 2008
• Mathematics Department Colloquium, University of Haifa (Israel) , Nov. 2008
• Atlantic Category Theory seminar, Dalhousie University (Canada), February 2008
• Séminaire Algèbre et Topologie, University of Nice Sophia-Antipolis (France), June 2007
• Australian Category Seminar, Macquarie University (Australia), 23 talks between 2004-2008
• Categorical Geometry Seminar, Kansas State University (USA)  April 2007
• Algebraic Topology Seminar, University of British Columbia, (Canada),  June 2006
• Category Theory Seminar, University of Chicago (USA), May 2005
• Mathematics Department Colloquium, SUNY at Buffalo (USA), March 2004
• Séminaire Algèbre et Topologie , Université Louis Pasteur (France), June 2003
• Algebra Seminar, University of Glasgow (UK), May 2003
• Topology Seminar, Razmadze Mathematics Institute of the Georgian Academy of Sciences, (Republic of Georgia) February 2002

Supervision

Current PhD students:

• Andrew Smith

Teaching

Past teaching: Linear Statistical Models, Generalized Linear models, Calculus, Linear algebra.

Administration

I am currently Examination Officer for the Mathematics Department.