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:
 Second Symposium on Compositional Structure, SYCO 2, University of Strathclyde, December 2018.
 My book 'Simplicial Methods for Higher Categories: Segaltype Models of Weak nCategories', has been accepted for publication in the Springer Series 'Algebra and Applications'. It will be published in May 2019.
Links to
Networks, Seminar and Conference Organization
Selected invited seminar talks
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
 D.Blanc, S.Paoli, Comonad cohomology of track categories, preprint 2018 arXiv.1801.05065
 S.Paoli, Segaltype models of higher categories, preprint 2017, (310 pages) arXiv.1707.01868., accepted for publication by Springer.
 S.Paoli, Weakly globular Nfold categories as a model of weak Ncategories, preprint 2016, arXiv.1609.04072.
 S.Paoli, Weakly globular Tamsamani Ncategories and their rigidification, preprint 2016, arXiv.1607.04870.
 S.Paoli, Pseudofunctors 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) 696774.
 D. Blanc, S. Paoli, Segaltype algebraic models of ntypes, Algebraic and Geometric Topology, 14 (2014) 34193491.
 S. Paoli, D. Pronk, A double categorical model of weak 2categories, Theory and Application of categories, 28, (2013), 933980.
 D. Blanc, S. Paoli, Twotrack categories, Journal of Ktheory, 8(1) (2011), 59106.
 T. M. Fiore, S. Paoli, A Thomason model structure on the category of small nfold categories, Algebraic and Geometric Topology, 10 (2010), 19332008.
 S. Paoli, Weakly globular catngroups and Tamsamani’s model, Advances in Mathematics, 222, (2009) 621727.
 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), 85103.
 T. M. Fiore, S. Paoli, D. A. Pronk, Model structures on the category of small double categories, Algebraic and Geometric Topology, 8 (2008) 18551959.
 S. Lack, S. Paoli, 2nerves for bicategories, Ktheory, 38 (2), (2008), 153175.
 S. Paoli, Semistrict models of connected 3types and Tamsamani weak 3groupoids, Journal of Pure and Appl. Algebra, 211, (2007), 801820.
 S. Lack, S. Paoli, An operadic approach to internal structures, Applied Categorical Structures, 13 (3), (2005), 205222.
 S. Paoli On the nonbalanced property of the category of crossed modules in groups, Journal of Pure and Appl. Algebra, 197, (13) , (2005), 1922.
 S. Paoli, (Co)homology of crossed modules with coefficients in a $\pi_1$module, Homology, Homotopy and Applications, 5 (1) (2003), 261296.
Networks, Seminar and Conference Organization
Research network
YaMCATS is an LMSfunded research network in category theory between the Universities of Birmingham, Leeds, Leicester and Sheffield. I am the grantholder.
Conferences and workshops (coorganised)

32nd British Topology Meeting, University of Leicester, 68 September 2017.

Algebraic Topology Session at the 31st Summer Conference on Topology and its Applications, University of Leicester, 25 August 2016

YaMCATS meetings, 2014  present

TTT93, University of Leicester, 12 November 2014
Steering Committee Member
 First Symposium on Compositional Structures, SYCO 1, University of Birmingham, September 2018.
 Second Symposium on Compositional Structure, SYCO 2, University of Strathclyde, December 2018.
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 interdisciplinary journal for research using compositional ideas, notably of categorytheoretic origin, in sciences. The journal also accepts submissions in pure category theory.
Grants
 LMS Scheme 3 grant for YaMCATS network, 2014present
 LMS Scheme 1 conference grant, 2016
 EU Marie Curie International Reintegration Grant HOMALGHIGH (20112015).
 Between 20052008, 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.
Talks
Conference and workshop talks
 (upcoming) 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
 International category theory conference CT2014, July 2014
 International category theory conference CT2013, July 2013
 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
 Canadian Mathematical Society 2012 Summer meeting, June 2012
 The 6th Scottish Category Seminar, University of Strathclyde, May 2012
 Foundational Methods in Computer Science 2010, June 2010
 International Category Theory Conference CT2009, July 2009
 The 2009 Meeting of the Israel Mathematical Union, April 2009
 NovemberFest, Carnegie Mellon University, November 2009
 Fall 2009 AMS Eastern Section Meeting, October 2009
 2009 Summer Conference of Topology and its Applications, July 2009
 Algebraic Topology, Group Theory and Representation Theory, June 2009
 Arolla Conference in Algebraic Topology, August 2008
 Fields Institute Workshop on Higher Categories and their Applications, January 200
 International Category Theory Conference CT2007, June 2007
 The MorganPhoa Mathematics Workshop, November 2006
 International Category Theory Conference CT2006, July 2006
 AMS 2005 Spring Sectional Meeting, April 2005
 IMA 2004 Summer Program: nCategories: Foundations and Applications, June 2004
 TTT39, March 2003
 The 79^{th} Peripatetic Seminar on Sheaves and Logic, June 2003
 Groups in Galway, May 2002
Invited talk series
Selected invited seminar talks
 Category theory seminar, University of Cambridge, March 2018.
 Semantics Seminar, University ParisDiderot, 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
 Category Theory Seminar, University of Cambridge (UK), March 2016
 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 UrbanaChampaign (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 SophiaAntipolis (France), June 2007
 Australian Category Seminar, Macquarie University (Australia), 23 talks between 20042008
 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
PhD 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.