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(@marinecases)
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Joined: 1 year ago
Posts: 3
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Hello everyone !

  I’m Marine Cases, a first year undergraduate at Paris-Saclay University. I intend to learn as much mathematics as possible, since I love the idea of connecting different fields together. When I was reading Récoltes et Semailles, I was intrigued by what Alexandre Grothendieck considered his most unifying contribution : toposes. And some web searching later, that’s how I found out about Prof. Caramello’s bridges ! 
  And I am now starting a small project on Stone duality under Prof. Olivia Caramello’s supervision !

So my midterm goal is to read « A topos-theoric approach to Stone-type dualities » and I am starting to read: « Frames and locales » ( Jorge Picardo and Aleš Pultr ), « Stone Spaces » (P. Jonhstone) and « Sheaves in Geometry and Logic » (Saunders MacLane and Ieke Moerdijk). I already know some category theory, commutative algebra, and I am following René Cori and Daniel Lascar books for logic

Happy to be here !

 


   
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(@elio-pivet)
Active Member
Joined: 3 years ago
Posts: 5
 

Hello ! Welcome here ! I was too a student at Paris-Saclay, even though I'm leaving to do a PhD next year. I did also read the books by René Cori and Daniel Lascar during my undergraduate studies and I liked them very much, they were the books which made me interested in logic. 


   
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(@marinecases)
New Member
Joined: 1 year ago
Posts: 3
Topic starter  

@elio-pivet Nice seeing a fellow saclay student here ! Yes they are really great books, and they have corrected exercises, which is better for self study. 

So what is your PhD subject ? 


   
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(@elio-pivet)
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Joined: 3 years ago
Posts: 5
 

My PhD will be about toposes representations by quantales (which are another generalization of locales) and quantaloids (which are quantales with several objects). 


   
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(@estebanricardo22)
Active Member
Joined: 9 months ago
Posts: 8
 

@marinecases hi Marine, how are you doing with "Sheaves in Geometry and Logic"?


   
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(@marinecases)
New Member
Joined: 1 year ago
Posts: 3
Topic starter  

@estebanricardo22 Hi Esteban,

I make progress in very very slow pace at this moment since I’m extremely busy. I did reach sites on chapter 3 and I read Borceux ‘s very nice « Some glances at topos theory», that he wrote after Prof.Caramello’s invitation, after having read the also very nice and more basic « Introduction to topos theory » by Kostecki. 
Given that Prof.Caramello’s theory is designed to cover a very very large array of mathematics, I’m also trying to extend my knowledge in other areas too so I have a mountain of books that I want to read, and "Sheaves in Geometry and Logic" is at the top but the mountain keeps on growing …


   
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