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Shmuel Weinberger is the Andrew MacLeish Distinguished Professor at the University of Chicago in the Department of Mathematics. His research focuses on understanding geometric concepts and their applications to mathematical problems. Weinberger specializes in topology, particularly in high-dimensional manifolds, and global analysis, which includes areas such as L2 cohomology and index theory for noncompact manifolds. His work often intersects with important problems in mathematical physics, including the Novikov conjecture and the Borel-Baum-Connes conjectures, and he explores connections between fundamental group invariants of manifolds and their geometric properties. In addition to his theoretical work, he has contributed to the understanding of applications in computer science, large-scale geometry, and variational problems. He authored a book titled 'Computers, Rigidity, Moduli: Large-Scale Fractal Geometry Riemannian Moduli Space,' which primarily consists of joint research with Alex Nabutovsky. His interests also extend to quantitative topology, focusing on the precise nature of solutions to problems in algebraic topology, and he has applied algebraic topology and analysis to practical issues in large data sets, robotics, and economics.
Department of Philosophy