Simona Paoli

Simona Paoli

Associate Professor

School of Mathematics and Actuarial Science
University of Leicester





Office: Bennet Link G57

Telephone: +44 (0)116 223 1031




Personal details

  • PhD University of Warwick


Latest updates:

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Research Area


Networks, Seminar and Conference Organization

PhD Supervision

Editorial duties





External Examining


Research Interests

My research work is in category theory and topology. I am particularly interested in the interaction between the area of category theory called  higher category theory and the area of algebraic topology called homotopy theory.  I am also interested in applied category theory and in applied topology: these areas apply categorical methods and respectively topological methods to real world problems.


Publications and Preprints


Research Monograph


Simplicial Methods for Higher Categories

'Simplicial Methods for Higher Categories: Segal-type Models of Weak n-Categories' (344 pages) Algebra and Applications 26, Springer (2019).

University of Leicester press release


Journal Papers and Preprints

  • S. Paoli, Weakly globular double categories and weak units, arXiv:2008.11180v1
  • L. Moser, V. Ozornova, S. Paoli, M. Sarazola, P. Verdugo, Stable homotopy hypothesis in the Tamsamani model, Topology and its Applications, to appear, arXiv2001.05577v2
  • D.Blanc, S.Paoli, Comonad cohomology of track categories, Journal of Homotopy and Related Structures, 14 (4) (2019), 881-917  arXiv.1801.05065
  • D. Blanc, S. Paoli, Segal-type algebraic models of n-types, Algebraic and Geometric Topology, 14 (2015) 3419-3491.
  • S. Paoli, D. Pronk, The weakly globular double category of fractions of a category, Theory and Application of categories, 29 (2014) 696-774.
  • 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)

Steering Committee member

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

Programme Committee Member

Seminar on Category Theory and its applications

I am organising the Seminar on Category Theory and its applications.

Applied Category Theory

I am one of the mentors in the 2021 Applied Category Theory Adjoint School.

Editorial duties

I am a member of the editorial board of 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.


  • LMS Scheme 1 conference grant, 2019.
  • 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:

Past PhD students:

  • Andrew Smith (completed 2019)



Invited conference and workshop talks

Invited talk series

  • Talk series (5 talks), University of Vienna, December 2018. Abstracts and Slides
  • 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

    These can be found here

    Contributed conference and workshop talks

    These can be found here


    Current teaching: Linear Statistical Models.

    Teaching qualification: Fellow of the HEA.


    I am currently Examination Officer for the School of Mathematics and Actuarial Science.

    External Examining

    I have been external examiner of PhD theses at the following institutions: University of Cambridge (UK), University of Leeds (UK), Macquarie University (Australia), Universite Paris-Diderot (France), University of Vienna (Austria).


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    University of Leicester
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    Tel.: +44 (0)116 229 7407

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