Matilde Marcolli

Research Interests

My work spanned several areas of research at the interface between mathematics and theoretical physics, with a recent growing interest in the interaction between these two subjects and information theory. On the mathematical side, my work began in low dimensional topology (Seiberg-Witten gauge theory), and later branched out to include noncommutative geometry (in both its differential and algebraic flavors), and algebraic and arithmetic geometry (Grothendiec's theory of Motives). On the physics side, my work focused mostly on quantum field theory, quantum statistical mechanics, geometric models for cosmology and particle physics, and quantum Hall systems. My more recent work in information theory involves the application of methods from statistical physics to coding theory and to mathematical and computational linguistics, and geometric aspects of quantum information. More detailed information, including access to all my research papers, is available on my webpage http://www.its.caltech.edu/~matilde/