Undergraduate Seminar by Betsy Stovall and students (UW-Madison)
Exploring notions of curvature for families of curves
RTG: Partial Differential Equations on Manifolds
Funded by NSF DMS-2135998
Exploring notions of curvature for families of curves
Stability of solitary waves of the NLS equation
Counting closed geodesics and improving Weyl's law for predominant sets of metricsĀ
Mean field limits for classical dynamics with M-body forces
Quantitative unique continuation for L^2-restrictions of eigenfunction sequences
Geometric variational problems: regularity vs singularity formation
A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton
Moving boundary problems for evaporating fluids
Long time solutions for one dimensional dispersive flows
A priori interior estimates for Lagrangian mean curvature equations
Exponential time-decay for a one dimensional wave equation with coefficients of bounded variation
Complete Calabi-Yau metrics from smoothing Calabi-Yau complete intersections