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The Department of Mathematics and Statistics at the University of Massachusetts Amherst will host its fourth annual summer school on Physical Mathematics of Quantum Field Theory during the week of June 9 - 13, 2025. The aim of the workshop is to introduce young researchers on the boundary between mathematics and physics to recent ideas in classical and quantum field theory using notions from complex geometry and algebraic topology. This year there is a focus on 4d gauge theories and their relationship with representation theory, algebraic geometry, and topology. The target audience of the workshop is advanced graduate students and post-docs, from both mathematics and theoretical physics. The schedule will be designed to include a large amount of time for participants to interact. We hope especially to encourage conversations between mathematicians and physicists.

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