Number theory in physics

TracingCurves

This summer I was expecting to be working mainly on an extended field theory and geometry project as well as pushing toward the conclusion of a study on double sigma models. But somewhat unexpectedly I’ve found myself also working on some interesting things at the interface of number theory and physics. It has to do with infinite series and smooth asymptotics. The motivation is almost entirely stringy, sparked first by an observation from my supervisor; but the early phases of research have since deepened and expanded the focus in a few intriguing directions. My hope is that we might find a canonical class of regulators, but that will undoubtedly prove to be a difficult end. I have started writing a post on some of the background material, which hopefully I’ll have finished and be able to share sooner rather than later.

I have enjoyed the opportunity to dive back into…

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