This website uses features that are not well-supported by your browser. Please consider upgrading to a browser and version that fully supports CSS Grid and the CSS Flexible Box Layout Module.
Diversity and inclusivity are necessary partners. Without inclusivity, the benefits of diversity — an increase in understanding, improvement in performance, enhanced innovation, and heightened levels of satisfaction — will not be realized. We commit to investments in both, to create a community in which difference is valued, where each individual’s identity and contributions are treated with respect, and where differences lead to a strengthened identity for all. See Dartmouth College Inclusive Excellence Action Plan and Arts and Sciences Inclusive Excellence Reports.
Noncommutative Geometry is a subfield of Functional Analysis with broad connections to several areas of mathematics. A foundational idea of the field, originating in quantum physics, is the notion that the quantization of a topological space is a noncommutative algebra. The theory of C*-algebras provides one way to make this precise. A celebrated theorem of Gelfand and Naimark implies that the category of commutative unital C*-algebras is equivalent to the category of compact Hausdorff topological spaces, while every noncommutative C*-algebra can be realized as an algebra of operators on Hilbert space. The research of members of this group focuses on diverse topics, such as the study of C*-algebras associated to dynamical systems, index theory of elliptic and hypoelliptic operators, groupoids, analytic and topological K-theory, Connes-Higson E-theory, and Fredholm manifolds.
