I don't care where I publish; even a windowsill will do.
Anton Chekhov

Popular level

  • A. Akopyan, A. Petrunin, Long geodesics on convex surfaces.
  • S. Alexander, V. Kapovitch, A. Petrunin, Invitation to Alexandrov geometry: CAT[0] spaces.
  • A. Petrunin, A quest for 5-point condition a la Alexandrov.
  • А. Гиль, А. Петрунин, Блужданья по цепям. Квант, 2017, № 3.
  • А. Петрунин, Александровская геометрия (видео лекции). Летняя математическая школа «Алгебра и геометрия», Ярославль, 2016.
  • A. Petrunin, Puzzles in geometry which I know and love.
  • A. Petrunin, A. Yashinski, Piecewise distance preserving maps. St. Petersburg Math. J. 27:1.
    Кусочно изометрические отображения. Алгебра и анализ, 2015, 27:1
  • A. Petrunin, Area minimizing polyhedral surfaces are saddle. American Mathematical Monthly 122, no. 3 (2015).
  • A. Petrunin, Euclidean plane and its relatives; a minimalist introduction. ISBN:1481918478
  • А. Петрунин, Плоское оригами и длинный рубль. Задачи Санкт-петербургской олимпиады школьников по матаматике, 2008.
  • А. Петрунин, Плоское оригами и построения. Квант, 2008, № 1.
  • А. Петрунин, С. Рукшин, Уникальносоставленные фигуры. Матем. просв., 10, (2006).
  • Unpopular level

  • A. Petrunin, S. Stadler, Metric minimzing surfaces revisited.
  • A. Petrunin, S. Stadler, Monotonicity of saddle maps.
  • V. Kapovitch, A. Lytchak, A. Petrunin, Metric-measure boundary and geodesic flow on Alexandrov spaces.
  • N. Lebedeva, A. Petrunin, On the total curvature of minimizing geodesics on convex surfaces.
    О вариации поворота кратчайших на выпуклых поверхностях.
  • N. Lebedeva, V. Matveev, A. Petrunin, V. Shevchishin, Smoothing 3-dimensional polyhedral spaces.
  • N. Lebedeva, A. Petrunin, Local characterization of polyhedral spaces.
  • D. Panov, A. Petrunin, Ramification conjecture and Hirzebruch's property of line arrangements.
  • A. Petrunin, A globalization for non-complete but geodesic spaces.
  • D. Panov, A. Petrunin, Sweeping out sectional curvature.
  • D. Panov, A. Petrunin, Telescopic actions.
  • N. Lebedeva, A. Petrunin, Curvature bounded below: a definition a la Berg--Nikolaev.
  • S. Alexander, V. Kapovitch, A. Petrunin, Alexandrov meets Kirszbraun.
  • A. Petrunin, On intrinsic isometries to Euclidean space.
    Внутренние изометрии в евклидово пространство.
  • A. Petrunin, Alexandrov meets Lott--Villani--Sturm.
  • S. Alexander, V. Kapovitch, A. Petrunin, An optimal lower curvature bound for convex hypersurfaces in Riemannian manifolds.
  • A. Petrunin, Semiconcave functions in Alexandrov's geometry.
  • V. Kapovitch, A. Petrunin, W. Tuschmann, Nilpotency, almost nonnegative curvature and the gradient flow.
  • A. Petrunin, An upper bound for curvature integral.
    Верхняя оценка на интеграл кривизны.
  • V. Kapovitch, A. Petrunin, W. Tuschmann, Nonnegative pinching, moduli spaces and bundles with infinitely many souls.
  • A. Petrunin, Harmonic functions on Alexandrov spaces and their applications
  • A. Petrunin, Some applications of collapsing with bounded curvature
  • A. Petrunin, Polyhedral approximations of Riemannian manifolds.
  • A. Petrunin, Asymptotical flatness and cone structure at infinity.
  • A. Petrunin, W. Tuschmann, Diffeomorphism finiteness, positive pinching, and second homotopy.
  • A. Petrunin, X. Rong, W. Tuschmann, Collapsing vs. positive pinching.
  • A. Petrunin, Metric minimizing surfaces.
  • A. Petrunin, Harmonic Functions on Alexandrov Space. (1996)
  • A. Petrunin, Parallel transportation for Alexandrov space with curvature bounded below.
  • A. Petrunin, Applications of quasigeodesics and gradient curves.
  • G. Perelman, A. Petrunin, Quasigeodesics and Gradient curves in Alexandrov spaces. (1995)
  • A. Petrunin, Quasigeodesics in multidimensional Alexandrov spaces. Ph.D. Thesis at UIUC
  • G. Perelman, A. Petrunin, Extremal subsets in Aleksandrov spaces and the generalized Liberman theorem.
    Экстремальные подмножества в пространствах Александрова и обобщённая теорема Либермана
  • Drafts

  • S. Alexander, V.Kapovitch, A. Petrunin, Alexandrov geometry.
  • A. Petrunin, A. Yashinski, From Euclid to Alexandrov; a guided tour, MASS 2011
     (We used part of these lectures in our paper
    A. Petrunin, A. Yashinski, Piecewise distance preserving maps. St. Petersburg Math. J. 27:1.
    Кусочно изометрические отображения. Алгебра и анализ, 2015, 27:1)
  • Textbooks

  • Euclidean plane and its pelatives; a minimalist introduction.
  • Corral's vector calculus.

  • My pages at MathOverflow, arXiv.org and Math-Net.Ru.

    Things which hard to find

  • G. Perelman, Alexandrov's space with curvatures bounded from below II.
  • G. Perelman, DC structure on Alexandrov space with curvature bounded below.