A got obsessed with smooth 4-manifolds early on. First came exotic $mathbb R^4$`s, came Donaldson`s diagonalizability theorem. In a way, I`m still obsessed with the latter in the form of Froyshov invariants in Seiberg-Witten theory and correction terms in Heegaard-Floer theory. Putting some order into these things has been keeping me busy. Apart from that, I`m interested in almost anything that passes as low dimensional topology and Floer theory, much that passes as differential topology, and I`ve also been getting curious about equivariant and stable homotopy theory, mostly in relation to Floer theory.
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