Dalimil Mazáč, mathematical physicist

CEA Research Director at IHES

Dalimil Mazáč works on quantum field theory and its connections with mathematics, particularly harmonic analysis and number theory.

He completed his PhD at the Perimeter Institute for Theoretical Physics and held postdoctoral positions at Stony Brook University and the Institute for Advanced Study in Princeton. In 2023, he became a permanent researcher at the Institut de Physique Théorique of CEA-Saclay.

Dalimil’s research has focused on developing a precise mathematical understanding of conformal field theory (CFT) in general dimensions, building on the conformal bootstrap program. He introduced the method of analytic functionals to derive sharp bounds on scaling exponents in CFTs. He subsequently uncovered a precise mapping between these functionals and the solution of the sphere packing problem in dimensions 8 and 24. More recently, he has applied ideas from the conformal bootstrap to establish nearly sharp bounds on spectral gaps of hyperbolic manifolds and new subconvex bounds on L-functions. His central research goal is to use these mathematical insights to advance the foundations of quantum field theory.

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