Archives: Research Groups

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    Research

    Our research group studies algebraic varieties and noncommutative algebras, and their invariants, usually with an emphasis on Fano varieties or moduli spaces of sheaves and representations. We often do this through the point-of-view of derived categories, with the goal of understanding their deformation theory, or understanding aspects of (homological) mirror symmetry.

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    Statistical Analysis of Stochastic Processes

    Our group investigates statistical and probabilistic techniques for continuous time stochastic processes.

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    Exploring Mathematical Laws through Equations

    Members of our group study functional equations and some of their applications to calculus and algebra.

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    Research

    We study low dimensional manifolds, their geometry, topology, and deformations. Understanding the world of shapes is understanding the shape of our world.

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