OLIVIACARAMELLO.COM

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I am a mathematician working as Assistant Professor at the University of Insubria. Since the beginning of my Ph.D. studies, my research has focused on investigating the role of Grothendieck toposes as unifying spaces in Mathematics and Logic. My main contribution has been the development of methods and techniques for transferring information between distinct mathematical theories by using toposes. School and conference " Toposes in Como. 24-29 June 2018); registration is open!

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Home - Olivia Caramello's website | oliviacaramello.com Reviews

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I am a mathematician working as Assistant Professor at the University of Insubria. Since the beginning of my Ph.D. studies, my research has focused on investigating the role of Grothendieck toposes as unifying spaces in Mathematics and Logic. My main contribution has been the development of methods and techniques for transferring information between distinct mathematical theories by using toposes. School and conference Toposes in Como. 24-29 June 2018); registration is open!

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Home - Olivia Caramello's website | oliviacaramello.com Reviews

https://oliviacaramello.com

I am a mathematician working as Assistant Professor at the University of Insubria. Since the beginning of my Ph.D. studies, my research has focused on investigating the role of Grothendieck toposes as unifying spaces in Mathematics and Logic. My main contribution has been the development of methods and techniques for transferring information between distinct mathematical theories by using toposes. School and conference " Toposes in Como. 24-29 June 2018); registration is open!

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oliviacaramello.com

1

Unifying theory - Unification programme

http://www.oliviacaramello.com/Unification/InitiativeOfClarificationResults.html

Controversy with category theorists. Overview and results of the initiative of clarification. Reasons why I have undertaken this initiative of clarification. Reasons behind the denigratory campaign. A bit of history. A few selected episodes. André Joyal’s debate and concluding letter. Responses to the initiative of clarification. On January 1 2015 I sent a letter to some of the most prominent members of the categorical community containing six questions to which they were kindly invited to. If you think ...

2

Talks - Olivia Caramello's website

http://www.oliviacaramello.com/Videos/Videos.htm

Introduction to categorical logic, classifying toposes and the 'bridge' technique. 5-hour lecture course given in English at the conference " Topos à l'IHÉS. 23-27 November 2015). The videos of the four lectures are available here. The syllabus of the course is available here. An edited version of the four lectures with titles for the various sections (kindly prepared by S. Dugowson) is available here. Toposes as unifying 'bridges' in Mathematics. This course , whose programme can be found here. Seminar ...

3

Papers - Olivia Caramello's website

http://www.oliviacaramello.com/Papers/Papers.htm

Introductory text and book. Which forms the first two chapters of a forthcoming book, provisionally entitled " Lattices of theories. Which has recently been accepted for publication by Oxford University Press, is a self-contained introduction to topos theory and the 'bridge' technique. Comments are welcome! Publications (in reverse chronological order). On the geometric theory of local MV-algebras (jointly with A. C. Russo), arXiv:math.CT/1602.03867. 2016), 52 pages. 2015), 41 pages. 2015), 25 pages.

4

Teaching - Olivia Caramello's website

http://www.oliviacaramello.com/Teaching/Teaching.htm

Of the "Topos Theory" course, Master of Advanced Study in Mathematics at the University of Cambridge (U.K.), Lent Term 2012 and 2011. Here are the slides that I used as a support for my lectures and the example sheets of the course. The syllabus of the course is available here. Overview of the course. Lectures 3 and 4. Lectures 5 and 6. Sheaves on a site. Lectures 7 and 8. Basic properties of categories of sheaves. Lectures 9 and 10. Lectures 12 and 13. Geometric morphisms as flat functors. An edited ver...

5

Talks - Olivia Caramello's website

http://www.oliviacaramello.com/Talks/Talks.htm

At the conference " Topos à l'IHÉS. Invited talk at the Séminaire de Logique Mathématique of the Université de Lyon 1. France), 10 November 2015. Invited talk at the workshop " Duality in contemporary mathematics: philosophical aspects. Wuppertal, Germany, 2-5 September 2015). Invited lecture at UNILOG 2015. Instanbul, Turkey, 20-30 June 2015). Invited lecture at TACL 2015. Ischia, Italy, 21-26 June 2015). Invited talk at the International Logic Workshop. Paris, June 8-9, 2015). Paris, 5 May 2015). Invit...

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Olivia CARAMELLO - Unifier les mathématiques

http://laurencehonnorat.com/2014/10/carmello-unifier-mathematiques

Géométrie de l'idée. Donner sens et corps aux idées, augmenter la connaissance, croiser les expériences et les cultures pour comprendre, imaginer et construire. Olivia CARAMELLO – Unifier les mathématiques. Oct 10, 2014. Olivia Caramello est post-doctorante à lIHES. Son. Programme de recherche est incontextablement ambitieux. Il vise à unifier les mathématiques via les topos d’Alexandre Grothendieck. Comment comprendre la dualité mathématique? Toute théorie du premier ordre écrite sous la f...La notion d...

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Home - Olivia Caramello's website

I am a mathematician working as Assistant Professor at the University of Insubria. Since the beginning of my Ph.D. studies, my research has focused on investigating the role of Grothendieck toposes as unifying spaces in Mathematics and Logic. My main contribution has been the development of methods and techniques for transferring information between distinct mathematical theories by using toposes. School and conference " Toposes in Como. 24-29 June 2018); registration is open!

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Home - Olivia Caramello's website

I am a research mathematician working as a Marie Curie Fellow at the Université de Paris VII. I also have an office at IHÉS. Since the beginning of my Ph.D. studies, my research has focused on investigating the prospective role of Grothendieck toposes as unifying spaces in Mathematics and Logic. My main contribution has been the development of methods and techniques for transferring information between distinct mathematical theories by using toposes. New paper "Syntactic categories for Nori motives".

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