AbstractThe early 20th century witnessed an explosion of activity, much of it centered at Harvard, on rigorizing the property of ergodicity first proposed by Boltzmann in his 1898 Ergodic Hypothesis for ideal gases. Earlier, in the 1880’s, Henri Poincaré and Felix Klein had also initiated a study of discrete groups of hyperbolic isometries. The geodesics in hyperbolic manifolds were discovered...
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...