What are the current research topics in mathematical physics?

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Hi Everyone. My name is Karim. I am PhD student at university of Alberta. I am studying algebraic geometry/complex geometry. As I am interested in geometry I am also interested to contribute to mathematical physics. In particular very interested in the areas of quantum computers, string theory, condensed matter, and cosmology. I just began this journey this month. In mathematics more specifically in algebraic geometry I am interested in algebraic cycles, Hodge theory, and regulators.
 
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Welcome to PhysicsForums, Karim. It's great to have you here. :smile:
 

Thread 'Introduction: Independent Researcher in Foundational Physics'

Hello everyone, I was advised to join this community while seeking guidance on how to navigate the academic world as an independent researcher. My name is Omar, and I'm based in Groningen The Netherlands. My formal physics education ended after high school, but I have dedicated the last several years to developing a theoretical framework from first principles. My work focuses on a topological field theory (which I call Swirl-String Theory) that models particles as knotted vortex...
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