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., accepted for publication by Springer.
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

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 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.

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 Morgan-Phoa Mathematics Workshop, November 2006
International Category Theory Conference CT2006, July 2006
AMS 2005 Spring Sectional Meeting, April 2005
IMA 2004 Summer Program: n-Categories: 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

(upcoming) Talk series (4 talks), University of Vienna, December 2018.

Topology Proseminar, University of Chicago (USA) series of 3 talks, April 2016.

Australian Category Seminar, Macquarie University (Australia), series of 9 talks between August-December 2015

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
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 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

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.

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Contact details

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

Tel.: +44 (0)116 229 7407

Campus Based Courses

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

Postgraduate Research: pgrmaths@le.ac.uk

Distance Learning Course

Actuarial Science:

DL Study

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