Simona Paoli

Lecturer

Department of Mathematics
University of Leicester
LE1 7RH

Office: Bennet Link G57

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

Personal details

• PhD University of Warwick 

Latest updates:

• University of Leicester press release on my Springer research monograph.
• Abstracts and Slides of my talk series at the University of Vienna.
• My book 'Simplicial Methods for Higher Categories: Segal-type Models of Weak n-Categories', has been accepted for publication in the Springer Series 'Algebra and Applications'. It will be published in May 2019. 

Links to

Research Area  

Publications  

Networks, Seminar and Conference Organization  

PhD Supervision  

Editorial duties  

Grants  

Talks

Teaching  

Administration

Research Interests

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

Research Monograph

'Simplicial Methods for Higher Categories: Segal-type Models of Weak n-Categories' (344 pages) has been accepted for publication in the Springer Series 'Algebra and Applications'. It will be published in May 2019. 

University of Leicester press release

Journal Papers

• D.Blanc, S.Paoli, Comonad cohomology of track categories, preprint 2018 arXiv.1801.05065
• 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

Research network

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

Steering Committee member

I am a member of the Steering Committee of the conference series 'Symposium of Compositional Structures (SYCO)'.

Programme Committee Member

• First Symposium on Compositional Structures, SYCO 1, University of Birmingham, September 2018.
• Second Symposium on Compositional Structures, SYCO 2, University of Strathclyde, December 2018.
• Third Symposium on Compositional Structures, SYCO 3, University of Oxford, March 2019.
• Applied Category Theory Conference ACT2019, University of Oxford, July 2019.

Seminar on Category Theory and its applications

I am organising 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. 

Women in Mathematics

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

PhD Supervision

Current PhD students:

• Andrew Smith
• Peter Guthmann

Talks

Invited conference and workshop talks

• (upcoming) International Category Theory Conference CT2019, University of Edinburgh, July 2019.
• (upcoming) Categorical Methods in Algebra, University of Palermo (Italy), May 2019.
• East Midlands Seminar in Geometry,  Loughborough University, December 2018.
• 2018 CMS Summer Meeting (Canada) June 2018.
• GDR Topologie Algebrique (France), October 2017.
• Categories for homotopy theory and rewriting, CIRM Luminy (France), September 2017.
• Higher Structures  Lisbon 2017, July 2017.
• British Mathematics Colloquium 2017, Topology Session, April 2017.
• 9th Meeting of the Yorkshire and Midlands Category Seminar, Nov. 2016
• Higher structures: Advances, MATRIX University of Melbourne, June 2016
• Opening conference for the program on Higher Structures in Geometry and Physics, Max Planck Institute Bonn, January 2016
• AMS 2014 Fall Sectional Meeting, October 2014
• Séminaire Itinérant de categories, Louvain La Neuve, May 2013
• Satellite thematic session in homotopy theory ECM6, July 2012
• Foundational Methods in Computer Science 2012, June 2012
• TTT85, University of Manchester, October 2012

• The 6th Scottish Category Seminar, University of Strathclyde, May 2012
• The 2009 Meeting of the Israel Mathematical Union, Homotopy theory Session, April 2009
• NovemberFest, Carnegie Mellon University,  November 2009
• Fall 2009 AMS Eastern Section Meeting, Homotopy theory session October 2009
• 2009 Summer Conference of Topology and its Applications, Category theory session, July 2009
• Fields Institute Workshop on Higher Categories and their Applications, January 2007
• TTT39, March 2003

Invited talk series

Selected invited seminar talks

These can be found here

Contributed conference and workshop talks

These can be found here

Teaching

Current teaching: Linear Statistical Models, Generalized Linear models.

Teaching qualification: Fellow of the HEA. 

Administration

I am currently Examination Officer for the Mathematics Department.