AbstractThe theory of wave turbulence is the statistical theory of interacting waves, or the wave analog of Boltzmann's kinetic theory. It started in the works of Peierls in the 1920s, and has had substantial developments in the 20th century, with significant applications in science. The mathematical study of this subject started with the early works of Spohn and Erdös-Yau et al. on linear mode...
Speakery research focuses on mathematical analysis, algorithm development, and their applications in machine learning and scientific computing, spanning both data and physical sciences. My Ph.D. training was grounded in classical numerical methods for partial differential equations (PDEs), with a particular emphasis on finite element methods (FEM) and multigrid methods. Armed with this solid fo...