List of FactsPublished 3/31/2016. mathI just started a list of facts , mainly rather classical facts that I don't want to forget. Before, that list lived on sheets of papers strewn across my desk, which was clearly not optimal. Now it's in a more permanent form. Update: I haven't…

The Milnor–Moore TheoremPublished 3/10/2016. algtop mathThis post is about the Milnor--Moore theorem, a powerful tool describing the structure of (co)commutative Hopf algebras. Like the Eckmann--Hilton argument , it shows that having multiple compatible operations on the same object can lead to…

Paper Accepted!Published 1/31/2016. operads paperMy first article has been accepted for publication with minor revisions! Entitled "Opérades et structures commutatives à homotopie près" (yes, it's in French), it will appear in the Graduate Student Mathematical Diary , edited by the Mediterranean…

Acyclic ModelsPublished 1/15/2016. algtop mathThe theorem(s) of acyclic models are a rather powerful technique for proving that some functors defined on truncated chain complexes can be extended in higher dimensions, and that two such functors are homotopic, by proving it on a small class of…

About Abelian BimodulesPublished 1/6/2016. algtop math operadsThis post is about something somewhat weird I noticed about infinitesimal bimodules over operads and their relationships with some operads. I don't know if it's something significant, and I'd definitely be interested to hear more about it. Context…

The Eckmann–Hilton ArgumentPublished 12/23/2015. algtop mathAs promised, this post is about the famous Eckmann--Hilton argument . This argument, on the surface, looks like a simple algebraic trick; but it has deep consequences, which I will now try to explain. This post is an expanded version of a math.SE…

Hello Everyone!Published 12/21/2015. codeHi! If you're reading this, it means I've finally decided to upload my blog, and this is my first post. Me If you don't know me (how did you get here?!) I'm Najib Idrissi, a doctoral student in math at Université Lille 1 . You can also read the…