3 papers
math.AT2025
Morse theory for chromatic Delaunay triangulations
Abhinav Natarajan, Thomas Chaplin, Adam Brown +1
The chromatic alpha filtration is a generalization of the alpha filtration that can encode spatial relationships among classes of labelled point cloud data, and has applications in…
math.GN2025
Discrete Microlocal Morse Theory
Adam Brown, Ondrej Draganov
We establish several results combining discrete Morse theory and microlocal sheaf theory in the setting of finite posets and simplicial complexes. Our primary tool is a computation…
math.OC2025
Normalizations of factorizations over convex cones and their effects on extension complexity
Adam Brown, Kanstantsin Pashkovich, Levent Tunçel
Factorizations over cones and their duals play central roles for many areas of mathematics and computer science. One of the reasons behind this is the ability to find a representat…