Title:  Detecting Neurological Signatures of Autism in fMRI with Mapper  Abstract:  Autism has well-documented behavioral and genetic signatures, yet no clear neuroimaging signature has been identified. Among the challenges of such a search are the great complexity of the brain (high dimensional data), the prohibitive cost of neuroimaging (small data sets), practical limitations of measuring brain activity (noise), and great diversity of both brains and behavioral profiles across individuals...

Title: Numerical Information of a Hilbert Space Operator Abstract: In this talk, we give background information on the Numerical Measure, or Numerical Shadow, of a complex matrix. This was first introduced by Gallay and Serre in 'Numerical Measure of a Complex Matrix,' and has seen recent applications in Quantum Information Theory. We then introduce a related object named the Numerical Information of an operator. This is the sigma algebra induced by the numerical range map. Some basic...

Title: Partial Regularity to Navier-Stokes equations Abstract: Using an argument from integral to classical, we demonstrate that the solutions to the Navier-Stokes equations remain regular except on a set with a null Hausdorff  measure of dimension 1. The proof primarily relies on a new compactness lemma and the monotonicity property of harmonic functions. The combination of linear and nonlinear approximation schemes makes the proof clear and transparent. Zoom link to live session: https:/...

Title: Ribbon Hopf Algebras Viewed Topologically   Abstract: This is an expository talk on how the category of modules for a Ribbon Hopf Algebra can be used to define framed knot invariants and in some cases knot invariants. The talk will be based on the work of Reshetikhin and Turaev from the 1990s. We will first look at what a framed knot is and how invariants for framed knots can be defined. Then starting from just an algebra A and building up to a Ribbon Hopf Algebra, we will see how the...

Speaker: TBA (now at Netflix)

Short Bio: Professor  Dongbin Xiu received his Ph.D degree from Division of Applied Mathematics of Brown University in 2004. He joined the Department of Mathematics of Purdue University in 2005. In 2013, he moved to the University of Utah as a Professor in the Department of Mathematics and Scientific Computing and Imaging (SCI) Institute. In 2016, He moved to The Ohio State University as Professor of Mathematics and Ohio Eminent Scholar. He received NSF CAREER award in 2007 and was elected to...

The Great Plains Operator Theory Symposium. From a modest beginning in 1981, the Great Plains Operator Theory Symposium (GPOTS) has become a major annual conference. It rotates between Universities in the U.S., with a new host university every year, and with NSF funding. For Spring 2026, it will be at the University of Iowa, a founding university. By now, GPOTS has evolved into a major international conference on operator theory and operator algebras. The symposium focuses on recent developments in Operator Algebras and Operator Theory. At the conference, leading researchers will discuss important new developments, new directions, and will propose problems for future research.