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Our Experience at the Mathlib Reviewer Bootcamp 2026

We are Hannah (she/her) and Rida (they/them), math graduate students at the University of Bonn and UPPA respectively. On 30th March 2026, we gathered with other Mathlib contributors for 4 days in Stockholm to take part in the first ever Mathlib Reviewer Bootcamp organized by Yaël Dillies and Andrew Yang with help from Michael Rothgang. The webpage with precise information on lectures and participants can be found here.

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The correspondence between affine group schemes and Hopf algebras

This February saw the birth of the Toric project, whose aim is to build the theory of toric varieties following Toric Varieties by Cox, Little and Schenck.

We soon discovered that toric varieties contained tori, and that Mathlib didn't.

This blog post is a double announcement:

  • The unexpected prerequisite of algebraic tori was recently cleared;
  • We are looking for contributors to help with the second phase of the project, i.e. toric geometry and its relation to convex geometry.

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Theorems about abelian categories

Two significant results about abelian categories have recently been added to mathlib. The first is that any Grothendieck abelian category has enough injectives, and it follows from a general construction known as the small object argument. The second is the Freyd-Mitchell theorem which states that any abelian category admits a fully faithful exact functor to a category of modules.

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