Archives: Research Groups

  • Research Groups

    Derived Algebraic Geometry and its Applications

    Using the powerful tool of derived algebraic geometry, we establish connections between structures in representation theory and algebraic geometry.

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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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    Geometry through Categories and Noncommutative Algebra

    We study algebraic geometry using derived categories and noncommutative algebras, uncovering unexpected connections and understanding complicated phenomena

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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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