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...

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...

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...