Following a brief overview of superconductivity as we know if today this talk will present three different results related to the mechanism of superconductivity: a theory of the Coulomb pseudopotential in the interacting electron gas [1], a phenomenological discussion of superconductivity and its relation to density wave order in twisted transition metal dicalcogenides [2,3], and results on superconductivity and other phenomena in the vicinity of a topological Mott transition [4,5 and upnpublished]

References:

[1] arXiv:2512.19382

[2] Nature 637, 839 (2025)

[3] Nature 652, 622 (2026)

[4] PNAS 122 e2426680122

[5] Phys. Rev. B 113, 064412 (2026)