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, investigates new combinatorial and geometric structures underlying quantum field theory. The group seeks to elucidate how scattering amplitudes and quantum observables arise from total positivity and positive
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of interest include Potential Theory, Harmonic Analysis, Functional Analysis, Calculus of Variations and Optimal Control, Optimization, Mathematical Biosciences and Quantum Biology. Some of the current research
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, including electrons and quasiparticles, as well as wave phenomena in metamaterials. Using primarily analytical approaches based on model systems, we investigate a wide range of physical systems—from quantum
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symmetries arising in quantum field theories. More specifically, it focuses on the representation theory of infinite-dimensional Lie algebras such as Kac–Moody algebras, and more generally, on vertex algebras