Analysis
Analysis is one of the fundamental branches of mathematics, with powerful applications throughout mathematics as well as in the natural sciences and industry. Here at Virginia Tech we have faculty working on various topics within analysis or using the tools of analysis to study applications. Areas covered include dynamical systems, erogdic theory, geometry, harmonic analysis, mathematical physics and partial differential equations.
In the picture above, professor Malabika Pramanik (Univrsity of Brittish Columbia) gives a talk at the Mid-Atlantic Analysis Meeting (2018) hosted by Virginia Tech.
Research Advisors for Analysis
-
Bio Item
Guher Camliyurt , bioDr. Camliyurt's research interests include mathematical fluid dynamics, nonlinear waves, and unique continuation problems for general elliptic and parabolic PDEs.
-
Bio Item
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.
-
Bio Item
Alex Elgart , bioProfessor Elgart primary research area is mathematical physics. The mathematical tools he uses mostly come from analysis and probability.
-
Bio Item
José Ramón Madrid Padilla , bioProfessor Madrid works in harmonic analysis and its connections to related fields such as number theory, combinatorics, ergodic theory and PDE.
-
Bio Item
Eyvindur Ari Palsson , bioAssociate Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.
-
Bio Item
Sarah Reznikoff , bioProfessor Reznikoff is Department Chair and Professor. Her research in analysis currently focuses on groupoid representations of C*-algebras.
-
Bio Item
Shu-Ming Sun , bioProfessor Sun's research interests include the mathematical theory of fluid mechanics, the theory of partial differential equations, and applied nonlinear analysis.
-
Bio Item
Wenbo Sun , bioAssistant Professor Wenbo Sun works on the problems lying at the interaction of ergodic theory, combinatorics, and number theory.
-
Bio Item
Yun Yang , bioAssistant professor Yang conducts research in ergodic theory and dynamical systems.
Researchers in Analysis
-
Bio Item
Samantha Brooker , bioDr. Brooker is a Postdoctoral Associate studying operator algebras and noncommutative geometry. She is mentored by Sarah Reznikoff.
-
Bio Item
Josh Clemons , bioDr. Clemons does research in the overlapping ares of complex dynamical systems, ergodic theory, and topology and teaches a wide variety of traditional courses in differential equations and combinatorics.
-
Bio Item
Nilton Garcia Hilares , bioDr. Hilares' research interests lie in computational and applied linear algebra.
-
Bio Item
Christina Giannitsi , bioDr. Giannitsi is a Postdoctoral Associate with a research focus in discrete harmonic analysis, exploring its rich connections with diverse fields such as analytic number theory, ergodic theory, and beyond. She is mentored by Eyvindur Ari Palsson
-
Bio Item
Kun Huang , bioDr. Huang is a Postdoctoral Associate specializing in numerical methods for kinetic equations, with a particular emphasis on applications in plasma physics.. He is currently interested in low-rank tensor methods for high-dimensional problems. He is mentored by Daniel Appelo and Yingda Cheng.
-
Bio Item
Artem Hulko , bioDr. Hulko conducts research in mathematical analysis, particularly in the area of non-self-adjoint operators on Hilbert spaces. He is also interested in Game Theory.
-
Bio Item
Priyanka Sinha , bioDr. Sinha is a Postdoctoral Associate, working on large-scale inverse problems, multi-distribution learning, and adversarial methods, with recent projects on distributed tomographic reconstruction and fairness-driven federated learning. She is mentored by Eric de Sturler.
-
Bio Item
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.
-
Bio Item
Chengcheng Yang , bioI am interested in Geometric Measure Theory.
Recently Retired Faculty
-
Bio Item
-
Bio Item
-
Bio Item
-
Bio Item
-
Bio Item
-
Bio Item
-
Bio Item
-
Bio Item
