12 citations · 48 across the 26 of their papers we have counts for
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math.DS2026
Integrability of Cauchy problems for discrete conformal maps and circle patterns
Maxim Arnold, Anton Izosimov
A map from a square lattice to the Riemann sphere is called discrete conformal if the image of every elementary square is a harmonic quadrilateral. We prove that the initial value…
math.DG2026
Virasoro extensions for diffeomorphisms with breaks
Anton Izosimov, Boris Khesin, Howard Xiao
We study homeomorphisms of the circle that are smooth diffeomorphisms away from a finite set of points. These "broken diffeomorphisms" do not form a Lie group, but instead natu…
math.CO2026
Surface topology and incidence theorems over division rings
Anton Izosimov
Incidence theorems concern configurations of points, lines, and, more generally, higher-dimensional subspaces in projective space. Broadly speaking, such theorems fall into two cla…