Matilde Marcolli

Matilde Marcolli is the Robert F. Christy Professor of Mathematics and Computing and Mathematical Sciences at the California Institute of Technology, Department of MATH. Her research spans several areas at the interface between mathematics and theoretical physics, with a recent focus on the interaction between these fields and information theory. Her mathematical work began in low dimensional topology and expanded to include noncommutative geometry and algebraic and arithmetic geometry. On the physics side, her research focused on quantum field theory, quantum statistical mechanics, geometric models for cosmology and particle physics, and quantum Hall systems. Her recent work in information theory involves applying methods from statistical physics to coding theory and mathematical and computational linguistics, as well as geometric aspects of quantum information.

Matilde Marcolli is a mathematician whose research spans mathematical physics, algebraic geometry, mathematical linguistics, noncommutative geometry, and number theory. Her work explores the interplay between physics and mathematics, particularly through noncommutative geometry and its applications to quantum fields, motives, and number theory. She has contributed to topics such as Feynman motives, tensor networks, and the AdS/CFT correspondence. Her research also includes connections between arithmetic geometry and physics, as well as the study of KMS states and complex multiplication. Marcolli's publications often highlight the deep relationships between mathematical structures and physical theories.