Partial Differential Equations & Applied Math Seminar Dr. Marissa Renardy (GSK) Quantitative modeling approaches are widely used in drug development to inform decision points across all stages of development, from target selection to dose/regimen selection, evidence generation for regulatory approval, and lifecycle…

Partial Differential Equations & Applied Math Seminar Dr. Ming Zhong, University of Houston We develop a learning framework to perform system identification for understanding the observation data of a single snapshot from observing collective behaviors. Such learning problem can become extremely ill-conditioned.  Our…

Dmitry Dolgopyat, University of Maryland We discuss several results lying on the interface between probability theory and Diophantine approximation. No background from either field is required.

Roger Casals, UC Davis What does finding periodic orbits in the 3-body problem, inscribing a square in a smooth curve, finding knot invariants, and the formation of rainbows, share in common? A possible answer is that all these apparently unrelated problems can be understood and solved by studying Lagrangian submanifolds, a…

Dr. Thomas Anderson (Rice University) Methods based on Green's functions have long been a workhorse for homogeneous boundary value problems, as they lead to integral equations posed on the boundary of a region of interest, with additional special advantages accruing for exterior problems. Persistent challenges include the need to…

Joaquin Moraga, UCLA Cluster type varieties Toric varieties are the one of the most important classes of varieties as they bridge algebraic geometry with combinatorics. In this talk, we will introduce a recent generalization of toric varieties. The so-called cluster type varieties. These are some special compactifications…

Amie Wilkinson, University of Chicago Mathematics Department Dynamical symmetry The centralizer Z(f) of a diffeomorphism f: M--> M of a closed manifold M is the group of all diffeomorphisms commuting with f; it is the collection of dynamical symmetries of f. The centralizer of f always contains the group <f>…

Seth Berman, UCR The Big C Seminar: A crash course in ergodic theory and hyperbolic dynamics As a part of The Big C Seminar, this two part talk will serve as an introduction to the 2025 Victor Shapiro Distinguished Lecture, delivered by Professor Amie Wilkinson. With a gentle introduction to ergodic theory and (partially)…