Daniil Rudenko

I am assistant professor at the University of Chicago. My main focus is the connection between multiple polylogarithms and algebraic K-theory fields. I am interested in topics around scissors congruence. I am also very fond of the trigonometry of a tetrahedron. CV 2025

For 18,783 mathematical problems published in the British periodical Educational Times, visit the database woollymathematics created in collaboration with S. Despeaux and S. Vorobiev.

Publications and Preprints

  • Multiple polylogarithms and the Steinberg module, with S. Charlton and D. Radchenko
  • The Hopf algebra of multiple polylogarithms, with S. Charlton, A. Matveiakin, and D. Radchenko
  • Joseph Wolstenholme and the Trigonometry of Tetrahedra
  • On the Goncharov Depth Conjecture and polylogarithms of depth two, with S. Charlton, A. Matveiakin, and D. Radchenko, Selecta Mathematica (2024)
  • Cluster Polylogarithms, with A. Matveiakin
  • On the Goncharov depth conjecture and a formula for volumes of orthoschemes, JAMS (2023)
  • Rational Elliptic Surfaces and the Trigonometry of Tetrahedra, Inventiones mathematicae (2021)
  • Motivic correlators, cluster varieties and Zagier's conjecture on ζ(F,4), with A. Goncharov
  • The Strong Suslin Reciprocity Law, Compositio mathematica (2021)
  • A property of trivalent graphs related to equidissections

    • Selected Talks

  • Multiple Polylogarithms, Algebraic K-Theory, and the Steinberg Module, IAS, May 2025
  • Volumes of hyperbolic polytopes, cluster polylogarithms, and the Goncharov depth conjecture, Conference "On the Crossroads of Algebra, Geometry and Physics," Yale, May 2022
  • Rational Elliptic Surfaces and Trigonometry of Non-Euclidean Tetrahedra, Stanford, May 2022