24,614 reputation
569192
bio website
location Münster, Germany
age 27
visits member for 5 years, 1 month
seen Jan 28 at 9:43

I am interested in the interactions between algebraic geometry and category theory. More specifically, I "model" algebraic geometry on cocomplete symmetric monoidal categories.

Here is a link to my PhD thesis. Comments are welcome.

Email: [my last name] [at] uni-muenster.de


2d
awarded  Popular Question
Jan
28
awarded  Nice Question
Jan
21
awarded  Nice Question
Jan
19
comment Is the functor of points of a scheme cofinally small?
Thank you for adding the second part. I still have to digest all this. In the first part, I think we have to be a little bit more careful as for the compatibility properties. Not every subring of $A$ such that the $B_n$ factors through localizations will induce a morphism.
Jan
19
comment Is the functor of points of a scheme cofinally small?
Ah, thank you! What about the 2nd question?
Jan
19
comment Is the functor of points of a scheme cofinally small?
Oh, I see. Thank you for the clarification.
Jan
19
revised Is the functor of points of a scheme cofinally small?
added 195 characters in body
Jan
19
comment Is the functor of points of a scheme cofinally small?
@Simon Henry: This is equivalent to the condition of being cofinally small.
Jan
19
comment Is the functor of points of a scheme cofinally small?
@Fernando: Well, this doesn't work. Not every morphism $\mathrm{Spec}(A) \to X$ factors through $\mathrm{Spec}(B)$ when $\mathrm{Spec}(B) \to X$ is an atlas.
Jan
19
asked Is the functor of points of a scheme cofinally small?
Jan
10
comment Reference for “multi-monoidal categories”
Thank you! I forgot one coherence axiom.
Jan
10
accepted Reference for “multi-monoidal categories”
Jan
8
awarded  Nice Question
Jan
8
awarded  Nice Question
Jan
8
comment Canonical presentation of pro-modules over pro-rings
Oh yes, thank you for reminding me that this was answered.
Jan
8
accepted Canonical presentation of pro-modules over pro-rings
Jan
8
asked Reference for “multi-monoidal categories”
Jan
7
comment Non-abelian Grothendieck group
Thank you for your answer!
Jan
7
comment Non-abelian Grothendieck group
Thank you for your answer!
Jan
7
accepted Non-abelian Grothendieck group