01 01 01UCI Mathematics

Professor of Mathematics

Paata Ivanisvili

University of California, Irvine

pivanisv@uci.edu · x.com/PI010101

On sabbatical, 2025–2026

Paata Ivanisvili

Vibe projects

  • Point-cloud clockOct 14, 2026 — Six balls of points that show the current time HH:MM:SS; each ball turns to show its digit, and you can drag a ball to spin it.
  • A–Z point-cloud sphereOct 13, 2026 — A cloud of white points inside a ball that spells every letter A to Z when viewed from different directions.
  • The longest thick curve on a sphereOct 4, 2026 — Put a rope of prescribed thickness on the unit sphere. How long can it be without overlapping itself?
  • Shortest flight around a spherical planetOct 2, 2026 — Shortest flight around a unit spherical planet from which every surface point becomes visible. Numerical candidate, generated with Grok 4.7 in Cursor.
  • Navier–Stokes equation (2D incompressible)Sep 5, 2026 — Solved live numerically on a discrete grid:

    ρ(∂u/∂t + u·∇u) = −∇p + μΔu + f, ∇·u = 0.

    The ink (the white stuff on the left) is added so you can see the motion of the fluid.
  • PercolationSep 2, 2026 — Each edge (in a square, triangular, honeycomb, etc. lattice) is kept with probability p and removed with probability 1−p. See what happens at the critical probability pc.