Join the Illinois Tech Applied Math Department as we honor the legacy of Karl Menger. The Menger Day Celebration will be held April 8-9, 2024, at the Mies Campus.

Karl Menger was a faculty member in the Department of Mathematics at Illinois Tech from 1946 to 1971, who influenced many students, fellow faculty members, and friends during his lifetime. Regarded as one of the finest mathematicians of the twentieth century, he made significant contributions to the fields of dimension theory, probability, economics, ethics, geometry, and calculus.

Our keynote event, the 14th annual Karl Menger lecture, will take place on Monday, April 8, 2024, 6 p.m at the MTCC Auditorium. Professor George Em Karniadakis, the Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and Engineering, Brown University will discuss “From Physics-Informed Machine Learning to Physics-Informed Machine Intelligence: Quo Vadimus?”

Reception to follow. RSVP by April 2, 2024.

For questions please contact Faith Kancauski at 312.567.8980 or kancauski@iit.edu.

The Remember Karl Menger Celebration is made possible with the generous support of the Menger family; Department of Applied Mathematics, Illinois Institute of Technology; and the Applied Mathematics Department Menger Fund.

Biography

George Em Karniadakis, the Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and Engineering, Brown University, is from Crete. He is a member of the National Academy of Engineering and a Vannevar Bush Faculty Fellow. He received his S.M. and Ph.D. from Massachusetts Institute of Technology (1984/87). He was appointed Lecturer in the Department of Mechanical Engineering at MIT and subsequently he joined the Center for Turbulence Research at Stanford / Nasa Ames. He joined Princeton University as Assistant Professor in the Department of Mechanical and Aerospace Engineering and as Associate Faculty in the Program of Applied and Computational Mathematics. He was a Visiting Professor at Caltech in 1993 in the Aeronautics Department and joined Brown University as Associate Professor of Applied Mathematics in the Center for Fluid Mechanics in 1994. After becoming a full professor in 1996, he continued to be a Visiting Professor and Senior Lecturer of Ocean/Mechanical Engineering at MIT. He is an AAAS Fellow (2018-), Fellow of the Society for Industrial and Applied Mathematics (SIAM, 2010-), Fellow of the American Physical Society (APS, 2004-), Fellow of the American Society of Mechanical Engineers (ASME, 2003-) and Associate Fellow of the American Institute of Aeronautics and Astronautics (AIAA, 2006-). He received the SES G.I. Taylor medal (2014), the SIAM/ACM Prize on Computational Science & Engineering(2021), the Alexander von Humboldt award in 2017, the SIAM Ralf E Kleinman award (2015), the J. Tinsley Oden Medal (2013), and the CFD award (2007) by the US Association in Computational Mechanics. His h-index is 138 and he has been cited over 98,000 times.

Abstract

We will review physics-informed neural networks (PINNs) and summarize available extensions for applications in computational science and engineering. We will also introduce new neural networks that learn functionals and nonlinear operators from functions and corresponding responses for system identification. Finally, we will present first results on the next generation of these architectures to biologically plausible designs based on spiking neural networks that are more efficient and closer to human intelligence. We will present applications of physics-informed machine learning in engineering, physics, and biomedicine.