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…