ANALYSIS SEMINAR (UTK)
ANALYSIS SEMINAR (UTK)
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The goal of this seminar is to foster engagement with current research in analysis through weekly talks by invited speakers, promoting scholarly exchange among graduate students and faculty.
The goal of this seminar is to foster engagement with current research in analysis through weekly talks by invited speakers, promoting scholarly exchange among graduate students and faculty.
Schedule: (almost) every Wednesday, 3:00PM-3:50PM
Spring 2026 Schedule
Spring 2026 Schedule
Jan 28, 2026
Jan 28, 2026
Speaker: Deborpita Biswas (Clemson University)
Speaker: Deborpita Biswas (Clemson University)
Title: Pseudo-Riesz Bases
Title: Pseudo-Riesz Bases
Abstract: I recently introduced the concept of pseudo-Riesz bases, extending the influential idea of near-Riesz bases first proposed by J. Holub in the 1990s. I established that pseudo-Riesz bases can be characterized as sequences with a Fredholm synthesis operator. Unlike Riesz bases, they are neither spanning nor independent, yet they retain valuable expansion properties. I have also developed some perturbation results for our Pseudo-Riesz bases.A well-known result by Hrusˇcˇev, Nikol’ski ̆i, and Pavlov characterizes Riesz bases of non-harmonic complex exponentials in terms of the invertibility of an appropriate Toeplitz operator. I prove a similar result for pseudo-Riesz bases of non-harmonic complex exponentials, aiming to establish Kadec-type perturbation results.
Feb 18, 2026
Feb 18, 2026
Speaker: Piotr Hajlasz
Speaker: Piotr Hajlasz
Title: Geometry and Topology of Mappings with Derivatives of Small Rank
Title: Geometry and Topology of Mappings with Derivatives of Small Rank
Abstract: The main theme of this talk is the study of mappings—primarily continuously differentiable and Lipschitz—that are critical everywhere, in the sense that the rank of their derivative is small at every point. Such mappings arise naturally in a variety of contexts across analysis, geometry, and topology. I will discuss problems related to approximation, homotopy, Heisenberg groups and analysis on metric spaces.
Feb 25, 2026
Feb 25, 2026
Speaker: Manisha Garg
Speaker: Manisha Garg
Title: TBA
Title: TBA
Abstract: TBA
March 18, 2026
March 18, 2026
Speaker: Michael Frazier (University of Tennessee Knoxville)
Speaker: Michael Frazier (University of Tennessee Knoxville)
Title: TBA
Title: TBA
Abstract: TBA
March 25, 2026
March 25, 2026
Speaker: Michael Frazier (University of Tennessee Knoxville)
Speaker: Michael Frazier (University of Tennessee Knoxville)
Title: TBA
Title: TBA
Abstract: TBA
Apr 1, 2026
Apr 1, 2026
Speaker: Alan Chang
Speaker: Alan Chang
Title: TBA
Title: TBA
Abstract: TBA
April 15, 2026
April 15, 2026
Speaker: Stefan Richter (University of Tennessee Knoxville)
Speaker: Stefan Richter (University of Tennessee Knoxville)
Title: TBA
Title: TBA
Abstract: TBA
April 28, 2026
April 28, 2026
Speaker: Stefan Richter (University of Tennessee Knoxville)
Speaker: Stefan Richter (University of Tennessee Knoxville)
Title: TBA
Title: TBA
Abstract: TBA
If interested to be added on the mailing list or to give a talk, please feel free to contact the organizers,
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