Hi! I’m Antonin Callard and I’m a second-year PhD student on symbolic dynamics, computability and group theory in Caen (France). If you want to learn more about me (or get my email address), you can go here. If you want to read my personal blog, you can go here. In any case, welcome!
I will give a talk about the distortion of the SMART machine at Séminaire SymPA in Amiens on November 28th. In February 2024, I will also attend 2024’s thematic month at CIRM about discrete mathematics and computations: if you’re planning to be there and want to talk about computability in groups, I am definitely interested!
I recently proved with Ville Salo that automorphism groups of non-trivial full shifts have distortion of infinite order (a very nice consequence is that multidimensional Brin-Thompson groups \(mV\) also have distortion for \(m \geq 2\)). A draft is available on arXiv.
I currently study some computational parallels between group theory and symbolic dynamics. Under the supervision of Pascal Vanier, I look at the computability of growth-related quantities (growth-rates, entropies) of finitely and recursively presented groups.