I am a mathematician; in particular, I am an algebraic topologist interested in working on problems in unstable homotopy theory using the tools of Goodwillie’s calculus of functors. This theory allows us to approximate functors of spaces by functors of spectra, a kind of homotopy abelianization. The analogue in this theory of a Taylor Series, the Taylor Tower of a functor, encodes homotopical nilpotence information, bearing a strong resemblance to the lower central series filtration of a group, whose associated graded has a Lie algebra structure.
Previously, I visited the Hausdorff Institute for Mathematics in Bonn, as part of the Junior Trimester Program in Topology. My group included myself, Gijs Heuts, Akhil Mathew and Lennart Meier; our topic is Interactions between Goodwillie calculus, chromatic methods, and unstable homotopy theory. Here you can find some information about what we'd organized at the HIM.
My institutional email address is (last name) at mpim-bonn.mpg.de
J'apprends le français depuis un an, alors, vous pouvez m'écrire en français.
Ich habe Deutsch seit 5 Jahren gesprochen und würde gerne auf Deutsch kommunizieren.