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:
http://www.math.vt.edu/HagedornFest/
Research Advisors for Mathematical Physics
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Nicole Abaid , bioDr. 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 , bioProfessor 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 , bioMy 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 , bioProfessor Elgart primary research area is mathematical physics. The mathematical tools he uses mostly come from analysis and probability.
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Mark Embree , bioCMDA 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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Ionut-Gabriel Farcas , bioProfessor Farcaș's research bridges scientific computing, high-performance computing, and computational physics. His work focuses on scientific machine learning, reduced and surrogate modeling, uncertainty quantification, and sparse grid and multi-fidelity methods. These computational techniques are designed to tackle complex, large-scale numerical simulations, such as those arising in turbulent transport in fusion devices or combustion processes in rocket engines.
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Leo Herr , bioMy 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 , bioProfessor 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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Chi Hong Chow , bioPrior to joining the department, Patricia Caldwell Postdoctoral Associate Chi Hong Chow was a postdoctoral research fellow at Max Planck Institute for Mathematics in Bonn. Dr. Chow's research focuses on the enumerative geometry of flag varieties, most notably their quantum cohomology. He also works on related problems such as mirror symmetry and Gamma conjectures.
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Fangchi Yan , bioDr. 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 , bioDr. 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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Kun Huang , bioI am a postdoctoral associate. I develop numerical methods for kinetic equations, in particular those related to plasma physics. Currently I'm interested in low-rank tensor methods for high-dimensional problems.
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Michael T. Schultz , bioDr. Schultz conducts research in the intersection of algebraic geometry and mathematical physics.
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Nilton Garcia Hilares , bioDr. Hilares' research interests lie in computational and applied linear algebra.
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Turker Topcu , bioDr. 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
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