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math.DG2026
Point Vortex Dynamics on Closed Surfaces
Marcel Padilla
The theory of point vortex dynamics has existed since Kirchhoff's proposal in 1891 and is still under development with connections to many fields in mathematics. As a strong simpli…
math.DG2026
Zeros of Random Sections on Line Bundles
Marcel Padilla
Sections of line bundles on 2 dimensional surfaces in 3 dimensional space can have many distinct shapes. For practical purposes we prefer smooth sections that are visibly easy to f…