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Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).

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Comparing different layered structures for fibered 3-manifolds: example request.

The two triangulations (or cellulations) do not coincide in general. Context: In fact, given a centrally symmetric convex shape $S$ in the plane, one could at any time $t$ on the Teichmüller line lo …
François Guéritaud's user avatar