The Local Operator Moment Problem on RRaúl Curto, PhDWe study the connections between operator moment sequences T={T_1,T_2, ...} of self-adjoint operators on a complex Hilbert space, H, and the local moment sequences (Tx,x)={ (T_1x,x),(T_2x,x) ...} for arbitrary x in H. We provide necessary and sufficient conditions for solving the operator moment problem on the real line, R, and we show that these criteria are automatically valid on compact subsets of R. Applications of the compact case are...

Title: Noncommutative Affine Schemes: A modest proposal.Abstract: I want to describe work that my collaborator, Baruch Solel, and I have done where we have successfully realized certain tensor algebras (including quiver algebras) as algebras of holomorphic functions on their spaces of representations.

Title: Introduction to Digital Twins: Bridging the Physical and Virtual Worlds in Science and EngineeringAbstract: Digital twins are revolutionizing how we model, simulate, and interact with complex physical systems. This talk offers an accessible yet comprehensive introduction to digital twins, focusing on their relevance in scientific computing, engineering design, and data-driven decision making. We’ll explore the core concepts behind digital twins—real-time data integration, simulation...

Title: Data Driven Modeling for Scientific Discovery and Digital TwinsAbstract: We present a data-driven modeling framework for scientific discovery, termed Flow Map Learning (FML). This framework enables the construction of accurate predictive models for complex systems that are not amenable to traditional modeling approaches. By leveraging measurement data and the expressiveness of deep neural networks (DNNs), FML facilitates long-term system modeling and prediction even when governing...

Speaker: Mojtaba Hosseini, Dept. of Business Analytics

In honor of Sonia Kovalevsky, the Department of Mathematics at the University of Iowa organizes Sonia Kovalevsky High School Mathematics Day yearly with the goal to inspire young women interested in math and show them that math is like solving a puzzle. Sonia Kovalevsky High School Mathematics Day is an opportunity for young women to engage in a day of networking, mentoring, and fun! The daylong program includes workshops, interactive talks, math related games and panels of professionals with...

Title: Mathematical modeling to understand blood clotting and bleedingAbstract: Hemostasis is the normal, healthy process in which a blood clot forms to stop bleeding in the event of an injury. Blood clot formation is a complex and nonlinear process that occurs under flow and on multiple spatial and temporal scales. Defects and perturbations in the hemostatic system can result in serious bleeding or pathological clot formation, but due to the complexity of the system, the responses to these...

Title: Can Computational Modeling Inform Intervention Strategies to Mitigate the Impact of Developmental Abnormalities? Abstract: Branched, tree-like structures, such as the lung airways and mammary ducts, are vital for fluid transport in mammals. They facilitate the secretion and distribution of essential substances, as well as the removal of waste, thereby supporting diverse physiological functions. The formation of these tree-like structures typically begins during embryonic development...

Get ahead on your research skills! These workshops are designed for graduate students and faculty but also open to undergraduates. What’s the best way to organize your research files so you, or you and your collaborators, can find what you need when you need it? What are best practices for naming files?  What is a README and why is it important? Attendees will come away with practical skills and tips for organizing research data in a way that is navigable across files and folders.  Come to this...

Title: Quantum symmetries old and new.   Abstract: Quantum symmetries is the study of how symmetries of classical objects carry over to their quantizations.  In this lecture I will review the work of De Concini, Kac and Lusztig on how the coadjoint action of an algebra group G carries over to an action of a quantum group at a root of unity on its restricted dual at that root of unity. I will then resolve a recent conjecture in skein theory negatively by analyzing the quantum symmetries...

Title: Number theory and cryptography   Abstract:  In this presentation Professor Ye will survey his work and progress in number theory since his last colloquium talk in the department. Topics include the Riemann zeta function, automorphic L-functions, their functoriality, upper bounds, and zero statistics, computational number theory, and its applications to cyberspace security or insecurity.   Short Bio: Professor Yangbo Ye is a professor of Mathematics with expertise in number theory and...

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...