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Mathematical Physics

Mathematical physics is an interdisciplinary research area that includes quantum mechanics, molecular dynamics, and acoustics. Pictured to the right is professor emeritus George Hagedorn, who was recently honored by a conference named for him, hosted at Virginia Tech:

picture of Professor Hagedorn

Research Advisors for Mathematical Physics

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    Nicole Abaid profile picture
    Nicole Abaid , bio

    Dr. Abaid's research focuses on networked dynamical systems. She studies diverse biological systems, ranging from animal groups to brain networks, to inspire novel results in mathematical modeling and control.

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    Paul Cazeaux's profile picture
    Paul Cazeaux , bio

    Professor Cazeaux's research deals with multiscale phenomena in mathematical physics and biology, with recent applications in quantum chemistry and condensed matter physics (2D materials).

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    Andreas Deuchert's profile picture
    Andreas Deuchert (starting Fall 2024) , bio

    My main research interests are mathematical quantum mechanics and quantum statistical mechanics. In my work, I develop analytic, functional analytic, and probabilistic methods with a focus on variational techniques to study mathematical problems originating from solid-state physics.

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    Alex Elgart profile picture
    Alex Elgart , bio

    Professor Elgart primary research area is mathematical physics. The mathematical tools he uses mostly come from analysis and probability.

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    Mark Embree profile picture
    Mark Embree , bio

    CMDA Program Director Professor Embree studies numerical linear algebra and spectral theory, with particular interest in eigenvalue computations for nonsymmetric matrices and transient behavior of dynamical systems.

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    Leo Herr's profile picture
    Leo Herr (starting Fall 2024) , bio

    My work is in algebraic geometry. I study varieties using extra combinatorial data called logarithmic structures which enrich and compactify ordinary varieties as a middleman between schemes and tropical geometry. Log structures help to count curves, study intersections, and construct cohomology theories and invariants that behave well for singular varieties and normal crossings pairs.

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    Agnieszka Miedlar's profile picture
    Agnieszka Miedlar , bio

    Professor Miedlar conducts research in numerical analysis and scientific computing, with a focus on iterative solvers for large-scale linear systems and eigenvalue problems, and adaptive finite element methods (AFEMs).

Researchers of Mathematical Physics

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    Fanfchi Yan's profile picture
    Fangchi Yan , bio

    Dr. Yan studies partial differential equations (PDEs) that are motivated from the modeling of physical phenomena and real-world problems in general. His research focuses on the problem of well-posedness for nonlinear dispersive equations, including the Korteweg-de Vries (KdV) equation and the nonlinear Schrödinger (NLS) equation.

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    Gazi Mahmud Alam profile picture
    Gazi Mahmud Alam , bio

    Dr. Alam's research interests are focused on the development of methods and algorithms for solving control and inverse problems on quantum graphs.

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    Irit Huq-Kuruvilla profile picture
    Irit Huq-Kuruvilla , bio

    Dr. Huq-Kuruvilla is a postdoctoral scholar working on Gromov-Witten theory and related areas, with a particular focus on quantum K-theory and its relationship with the geometry of the Kontsevich moduli spaces of stable maps.

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    Michael Schultz profile picture
    Michael T. Schultz , bio

    Dr. Schultz conducts research in the intersection of algebraic geometry and mathematical physics.

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    Stanca Ciupe profile picture
    Nilton Garcia Hilares , bio

    Dr. Hilares' research interests lie in computational and applied linear algebra.

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    Turker Topcu , bio

    Dr. Topcu works in the field of computational science. His research involves developing algorithms and codes to solve partial and ordinary differential equations to simulate quantum dynamical systems.

Recently Retired Faculty