Mathematics Colloquium Series

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Mathematics Department Colloquium Series

The Mathematics Department established the Mathematics Department Colloquium Series through a Faculty Development Grant in 1999 to provide a place to discuss new research in Mathematics. Speakers for the series come from both inside the UTC Department of Mathematics as well as guest speakers from other institutions. The Colloquium Series meets periodically throughout the year.

Upcoming Colloquium Talks

Thien Le

Date/Time: Fri., Oct. 3 at 2:30 p.m.
Location: Lupton 393
Title: Universally consistent tests for the graph of a Gaussian graphical model
Abstract: The Gaussian graphical model is widely used to capture the joint distribution of multiple random variables, with its induced graph offering both interpretability and improved estimation efficiency. They play a central role in applications such as inferring gene networks in genomics, mapping brain connectivity in neuroscience, and modeling dependencies among financial assets. Although estimation methods are well developed, tests for whether a proposed graph is adequate remain limited. This talk introduces new goodness-of-fit tests that are computationally simple yet theoretically rigorous. We propose a simple plug-in test and an enhanced version that achieves universal consistency, both following a Gumbel distribution under the null. Simulations confirm the procedures have the correct size under the null and strong power under alternatives. An application to COVID-19 data illustrates their value in selecting graph structures for efficient estimation.

Mohandas Pillai

Date/Time: Fri., Oct. 17 at TBA
Location: TBA
Title: TBA
Abstract: TBA

Xiunan Wang

Date/Time: Fri., Oct. 24 at TBA
Location: TBA
Title: TBA
Abstract: TBA

Brian Choi

Date/Time: Fri., Nov. 7 at TBA
Location: TBA
Title: TBA
Abstract: TBA

Wilhelm Treschow

Date/Time: Fri., Nov. 14 at TBA
Location: TBA
Title: TBA
Abstract: TBA

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