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# Simona Paoli

## Lecturer

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

## Personal details

• PhD University of Warwick

PhD Supervision

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

### 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)

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.

## 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:

## 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

## Teaching

Current teaching: Linear Statistical Models, Generalized Linear models.

Teaching qualification: Fellow of the HEA

I am currently Examination Officer for the Mathematics Department.

Contact details

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

Tel.: +44 (0)116 229 7407

Campus Based Courses