Shape-morphing modes for solving PDEs with conserved quantities Abstract. I introduce shape-morphing modes for efficient and scalable approximation of solutions to time-dependent PDEs. Numerical methods typically assume the solution of a PDE as the linear combination of static modes, such as … Read more
Collatz map as a power-bounded non-singular transformation Ergodic Theory Seminar Website
Zoom link Syracuse maps as non-singular power-bounded transformations Ergodic Theory Seminar
Join us at the Tate-Turner-Kuralt Auditorium to experience five 15-minute presentations by the recipients of the Phillip and Ruth Hettleman Prizes for Scholarly Achievement. Among these presentations, one will be given by Yaiza Canzani, focusing on her research regarding … Read more
Some recent progress on integrable PDEs Abstract. Integrable PDEs arise as leading-order models in an astoundingly wide range of physical scenarios, such as fluid dynamics, ferromagnetism, and nonlinear optics. For rapidly decaying solutions, the inverse scattering method provides a powerful … Read more
Title: Hitchin WKB problem and Geometric P=W conjecture in rank 2 Abstract: After reviewing nonabelian Hodge and Riemann--Hilbert correspondences over curves, I state two closely related open problems concerning their large-scale behavior. I then propose an answer to these questions … Read more
Graduate students Kristen Giesbrect and Emma Crawford, have been selected as finalists for the Three Minute Thesis competition through the Graduate School (https://careerwell.unc.edu/programs/three-minute-thesis/). They will both compete on Wednesday, October 25, 4:00-5:00 in the Freedom Forum Center (305 Carroll Hall). One of … Read more
Join us for an informal meet-up where you can delve into the exciting world of research and the pursuit of advanced degrees in mathematics. Our discussion panel features experienced professors and postdocs associated with the NSF RTG project titled “Partial … Read more
Stochastic and continuum modeling of protein polymer dynamics in neurons Abstract. Microtubules are protein polymers present in most cells; in neurons, microtubules are believed to be stable and to have specific orientations. This is crucial, since other key proteins get transported … Read more
Be a part of live demonstrations at the Physical Mathematics Lab from 10-11 AM, followed by captivating experiments at the Joint Fluids Lab from 11 AM-12 PM. Witness mathematics come to life in these interactive sessions. The official University Research … Read more
Physically Inspired Mathematics Seminar Website
Title: Perverse sheaves and resurgence. Abstract: Perverse sheaves provide a topological counterpart of regular holonomic D-modules, whose solutions are multivalued functions of certain restricted type. Now, much more general multivalued functions (on the complex plane C) have been studied in J. … Read more
