Spring Workshops
MRC Workshop on Nonlinear PDEs: Stability Analysis and Multiscale Applications (April 21-23, 2023)
Ming Chen, PhD & Dehua Wang, PhD
The objective of this workshop was to bring together researchers, students and postdocs with interest in the stability analysis and multiscale applications. Relevant world-class experts and specialists were invited to speak in the workshop. The workshop provided a forum to exchange and stimulate new ideas from different areas, and to explore new mathematical models and techniques that will have impact in applications. Fifteen speakers from Brazil, China, UK, and USA gave lectures about the state-of-the-art results of their research. The workshop is supported by the Mathematics Research Center (MRC) of the Department of Mathematics and the National Science Foundation (NSF) through the NSF-EPSRC project.
The NSF-EPSRC project, a collaborative research on the Stability Analysis for Nonlinear Partial Differential Equations Across Multiscale Applications, is funded by the US-NSF and UK-EPSRC, involving six PIs from the University of Oxford, University of Wisconsin at Madison. Penn State University, University of Texas at Austin, and University of Pittsburgh.
To learn more about the NSF-EPSRC project, visit this website.
To learn more about the MRC workshop, visit this website.
MRC Workshop on Representation Theory, L-functions, & Arithmetic (May 9-11, 2023)
Ion Bogdan, PhD & Carl Wang-Erickson, PhD
The workshop was dedicated to the interaction between representation theory, L-functions, and arithmetic, with emphasis on the geometry and cohomology related to Langlands correspondences, and the representation-theoretic techniques used to study L-functions and Galois representations.
The conference was supported by the University of Pittsburgh Mathematics Research Center and the Number Theory Foundation. A small grant from the Number Theory Foundation allowed us to support the participation of graduate students and early career mathematicians.
To learn more, visit the workshop’s website.
MRC Mathematical Ecology Conference (June 1-2, 2023)
Sabrina Streipert, PhD
SCIENTIFIC THEME: Understanding species’ responses to changing environments is fundamental for sustainable ecosystem management. Although the mathematical analysis of ecological models often focuses on long-term behavior and neglects environmental variability, experimental data suggests that climate change acts as a selective agent that may affect species fitness, persistence, and migration and can cause adaptive evolution of species traits.
These issues highlight the need for early-warning systems based on transient activity and for consideration of environmental fluctuations when predicting impacts from environmental stressors, developing management strategies, and planning for species conservation. Moreover, fitting proposed ecological models formulated based on first principles to available data and comparing them to data-driven models is a critical component in closing the gap between theoretical and applied ecology and a fundamental tool in deriving justifiable management decisions. Therefore, with a strong interdisciplinary focus, this conference will bring together leading scientists including senior and young researchers working in the disciplines of mathematics, theoretical and experimental ecology and evolution, machine learning, and statistics to highlight cutting-edge advances and pressing challenges in these research areas of Mathematical Ecology.
On the opportunities front: Pitt Mathematics graduate student Jesse Han is credited as a member of the optimization and architecture team on the recent technical update posted online about GPT4.
ORGANIZING COMMITTEE: Bard Ermentrout, Sabrina Streipert, Jon Rubin, David Swigon, Martin Turcotte
To learn more, visit the 2023 Mathematical Ecology Conference website.