Blaise Boissonneau

Postdoc in HHU Düsseldorf

Research interests

Publications

• Growing Spines Ad Infinitum, with Anna De Mase, Franziska Jahnke and Pierre Touchard.
• Mekler's Construction and Murphy's Law for 2-Nilpotent Groups, with Pierre Touchard and Aris Papadopoulos.
• NIPn CHIPS.
• Artin-Schreier extensions and combinatorial complexity.
• PhD thesis: Combinatorial complexity in henselian valued field: Pushing Anscombe-Jahnke up the ladder.

Various notes, not intended for publication

• Notes on definability and NIPity in algebraic extensions of p-adics.
• Poster on definability of p-adic valuations.
• Master thesis on the Pila-Wilkie theorem (in French), under supervision of Tamara Servi.
• Bachelor thesis on the unique simple group of order 168 (in French), under supervision of Chakib Bennis – beamer version here.

Teaching

Classes

• Linear Algebra II, Summer Semester 2025
• Linear Algebra I, Winter Semester 2024
• Logic for teacher candidates, Summer Semester 2021
• Algebra for teacher training students, Winter Semester 2020.
• Logic I, Summer Semester 2019.
• Logic II, Winter Semester 2019.

Seminars

• Seminar on NIP theories, Summer Semester 2025
• Seminar on o-minimality, Winter Semester 2024
• Seminar on Stable Theories, Winter semester 2021; Definability of types, symmetry and stationarity in local stability.
• Seminar on Ample Theories, Winter semester 2021; Morley rank, non-forking, canonical bases.
• Seminar on O-minimality and the André-Oort Conjecture, Winter semester 2020; Pila’s proof of the André-Oort conjecture (part 1/2).
• Seminar on Hrushovski Amalgamation, Summer semester 2020; Ab Initio construction (Part 2/2) (de).
• Seminar on Definable groups in metastables theories, Winter semester 2019/20; Geometry of ACVF.
• Seminar on Continuous Logic, Summer Semester 2019; Algebraic and definable closures.
• Seminar on Simple Theories, Winter Semester 2018/19; Dividing & Forking.

High-school ressources

Contact

About me

As stated, I am working as a postdoc in Düsseldorf. Furthermore, beware; I have political opinions. I enjoy recreational mathematics a lot, so if you have fun puzzles to share, you're very welcome to contact me.

Questions :

• The surreal numbers are a (somewhat) explicit monster model of RCF (actually even of Rexp). Are there any other similar explicit monsters?
  • Nimbers are also an explicit monster model of ACF₂! Of course from those we can also construct explicit monster models of ACF, RCVF, ACVF... but only in characteristic 0 or 2!
  • Wait isn't the monster group a monster model of sporadic groups? I am starting to believe that Conway was secretely a model theorist.
• Convex polygons which can tile the plane are classified, but it seems that those which can tile the sphere are not yet fully classified, especially when considering non edge-to-edge tilings. Is there a convex polygon which can tile the sphere only in a non edge-to-edge manner?
• A 'folklore' result (of which the oldest proof I can find is in Rheinhart's PhD thesis) is that convex polygons tiling the plane can only have 6 sides or less, even when non edge-to-edge. Is there a similar result for polyhedra tiling the 3D space? Regarding their number oh faces? Their number of vertices?
• In 1934 In his article "A problem in arrangements", M. H. Martin states that "A problem in dynamics, recently considered by the author, gave rise to the following question", the question being the one of existence of what's now called de Bruijn sequences. What problem of fluid dynamics could this possibly be ?
• Who is A. de Rivière, who asked the question of de Bruijn sequences first, and why did they ask?

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