Olivia Caramello's website

 

Papers

Introductory texts and book

 

Publications (in reverse chronological order)

  1. Sur la dualité des topos et de leurs présentations et ses applications : une introduction (in French, jointly with L. Lafforgue), available here (2016), 61 pages
  2. On the geometric theory of local MV-algebras (jointly with A. C. Russo), arXiv:math.CT/1602.03867 (2016), 52 pages, revised version to appear in the Journal of Algebra
  3. Motivic toposes, arXiv:math.AG/1507.06271 (2015), 41 pages
  4. Syntactic categories for Nori motives (jointly with L. Barbieri-Viale and L. Lafforgue), arXiv:math.AG/1506.06113 (2015), 25 pages
  5. General affine adjunctions, Nullstellensätze, and dualities (jointly with V. Marra and L. Spada), arXiv:math.CT/1412.8692 (2014), 43 pages
  6. Lattice-ordered abelian groups and perfect MV-algebras: a topos-theoretic perspective (jointly with A. C. Russo), Bulletin of Symbolic Logic 22 (2), 170-214 (2016), preprint version available as arXiv:math.CT/1409.4730 
  7. Cyclic theories (jointly with N. Wentzlaff), arXiv:math.CT/1406.5479 (2014), 25 pages, to appear in Applied Categorical Structures
  8. Extensions of flat functors and theories of presheaf type, arxiv:math.CT/1404.4610 (2014), 158 pages, to appear in the book "Theories, Sites, Toposes: relating and studying mathematical theories through topos-theoretic 'bridges'"
  9. The Morita-equivalence between MV-algebras and abelian l-groups with strong unit (jointly with A. C. Russo), Journal of Algebra 422, 752–787 (2015), preprint version available as arxiv:math.CT/1312.1272 
  10. Topological Galois Theory, Advances in Mathematics 291, 646–695 (2016), correction note here, preprint version available as arxiv:math.CT/1301.0300    
  11. Topologies for intermediate logics, Mathematical Logic Quarterly 60 (4-5), 335-347 (2014), preprint version available as arxiv:math.CT/1205.2547    
  12. Gelfand spectra and Wallman compactifications, arxiv:math.CT/1204.3244 (2012), 50 pages
  13. Priestley-type dualities for partially ordered structures, Annals of Pure and Applied Logic 167 (9), 820-849 (2016), correction note here, preprint version available as arXiv:math.CT/1203.2800   
  14. A general method for building reflections, Applied Categorical Structures 22 (1), 99–118 (2014), preprint version available as arXiv:math.CT/1112.3603 
  15. Site characterizations for geometric invariants of toposes, Theory and Applications of Categories Vol. 26, No. 225, pp 710-728 (2012)
  16. A topos-theoretic approach to Stone-type dualities, arXiv:math.CT/1006.3930 (2011), 158 pages (submitted for publication as a monograph)
  17. The unification of Mathematics via Topos Theory, arXiv:math.CT/1006.3930 (2010), 41 pages - Russian translation available as arXiv:math.CT/1104.0563
  18. A characterization theorem for geometric logic, Annals of Pure and Applied Logic 162 (4), 318-321 (2011), preprint version available as arXiv:math.CT/0912.1404
  19. Syntactic characterizations of properties of classifying toposes, Theory and Applications of Categories Vol. 26, No. 6, pp 176-193 (2012)
  20. Universal models and definability, Mathematical Proceedings of the Cambridge Philosophical Society 152 (2) 279-302 (2012), preprint version available as arXiv:math.CT/0906.3061
  21. Lattices of theories, arXiv:math.CT/0905.0299 (2009), 84 pages,
    to appear in the book "Theories, Sites, Toposes: relating and studying mathematical theories through topos-theoretic 'bridges'"
  22. Atomic toposes and countable categoricity, Applied Categorical Structures 20 (4), 379-391 (2012), preprint version available as arXiv:math.CT/0811.3547
  23. De Morgan's law and the theory of fields (jointly with P.T. Johnstone), Advances in Mathematics 222 (6), 2145-2152 (2009), preprint version available as arXiv:math.CT/0808.1972
  24. De Morgan classifying toposes, Advances in Mathematics 222 (6), 2117-2144 (2009), preprint version available as arXiv:math.CT/0808.1519
  25. Fraïssé's construction from a topos-theoretic perspective, arXiv:math.CT/0805.2778 (2008), 17 pages, to appear in Logica Universalis
  26. Yoneda representations of flat functors and classifying toposes,
    Theory and Applications of Categories, Vol. 26, No. 21, pp. 538-553 (2012)

    My Ph.D. thesis is available upon request.

    Previous work

    The following papers were written during my undergraduate studies.
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  27. A solution to recursive second-order linear equations,
    Quaderni del Dipartimento di Matematica dell’Università di Torino (12/2005), 10 pages
  28.  An unconventional solution to an Eulerian problem,
    Quaderni del Dipartimento di Matematica dell’Università di Torino (12/2005), 14 pages