Alan Cigoli
Alan Cigoli
INdAM cofund Marie Curie fellow at
Università degli Studi di Milano, Dipartimento di Matematica
Via Saldini 50, 20133 Milano, Italy
From 01/09/2016 to 28/02/2018 I have been at
Université catholique de Louvain, Institut de recherche en mathématique et physique
e-mail: alan dot cigoli at uclouvain dot be
RESEARCH INTERESTS I am a mathematician working in Category Theory, with special attention to categorical aspects of non-abelian algebra.
I could say that most of my research aims to answer the following questions:
Why is the category of groups so nice? Why do some categories of non-abelian structures share some nice features with the category of groups and others do not? To which extent and which aspects of group cohomology can be transferred by purely formal arguments to other non-abelian structures?
I realized some years ago that Category Theory is the way I understand mathematics, and that's the way I try to approach these questions. And new questions arise day after day...
PUBLICATIONS
  • A. S. Cigoli, T. Everaert, M. Gran
    « A relative monotone-light factorization system for internal groupoids »
    Appl. Categ. Structures (2018), online first.
    arXiv:1711.10450.
  • A. S. Cigoli, S. Mantovani, G. Metere
    « Peiffer product and Peiffer commutator for internal pre-crossed modules »
    Homology Homotopy Appl. 19 (2017), 181–207.
    arXiv:1503.05008.
  • A. S. Cigoli, G. Metere
    « Extension theory and the calculus of butterflies »
    J. Algebra 458 (2016), 87–119.
    Preprint pdf.
  • A. S. Cigoli, J. R. A. Gray, T. Van der Linden
    « Algebraically coherent categories »
    Theory Appl. Categ. 30 (2015), 1864–1905.
  • A. S. Cigoli, A. Montoli
    « Characteristic subobjects in semi-abelian categories »
    Theory Appl. Categ. 30 (2015), 206–228.
  • A. S. Cigoli, J. R. A. Gray, T. Van der Linden
    « On the normality of Higgins commutators »
    J. Pure Appl. Algebra 219 (2015), 897–912.
    arXiv:1312.5474.
  • A. S. Cigoli, S. Mantovani, G. Metere
    « A push forward construction and the comprehensive factorization for internal crossed modules »
    Appl. Categ. Structures 22 (2014), 931–960.
    Preprint pdf.
  • A. S. Cigoli, G. Metere, A. Montoli
    « Obstruction theory in action accessible categories »
    J. Algebra 385 (2013), 27–46.
    Preprint pdf.
  • A. S. Cigoli, S. Mantovani
    « Action accessibility via centralizers »
    J. Pure Appl. Algebra 216 (2012), 1852–1865.
    Preprint pdf.
PREPRINTS
  • A. S. Cigoli
    « A characterization of final functors between groupoids in exact categories »
    arXiv:1711.10747.