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

Popular level

  • А. Петрунин, Сколько деревьев в графе. Квант, 2018, № 9.
  • A. Akopyan, A. Petrunin, Long geodesics on convex surfaces. Math. Intelligencer 40 (2018), no. 3.
  • S. Alexander, V. Kapovitch, A. Petrunin, An invitation to Alexandrov geometry: CAT(0) spaces. SpringerBriefs in Mathematics.
  • A. Petrunin, A quest for 5-point condition a la Alexandrov. St. Petersburg Math. J. 29:1.
    В поисках пятиточечного условия Александровского типа. Алгебра и анализ, 2017, 29:1
  • 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 that 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).
  • 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. Математическое просвещение, 10, (2006).
  • Textbooks

  • Euclidean plane and its relatives; a minimalist introduction
  • Corral's vector calculus
  • Extra pearls in graph theory
  • Геометрия по Киселёву
  • Drafts

  • S. Alexander, V. Kapovitch, A. Petrunin, Alexandrov geometry.
  • A. Petrunin, A. Yashinski, From Euclid to Alexandrov; a guided tour , MASS, Fall 2011.
     We used part of these notes 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
  • A. Petrunin, S. Zamora Barrera, Differential geometry of curves and surfaces: a working approach, based on course at MASS, Fall 2018.
  • A. Petrunin, Lectures on metric geometry, based on a graduate course, Penn State, Spring 2020.
  • Unpopular level

    Most of my papers are available at arXiv.org and/or Math-Net.Ru, but there are few exceptions:
  • Anton Petrunin, An upper bound for curvature integral.
    Верхняя оценка на интеграл кривизны.
  • Anton Petrunin, Harmonic functions on Alexandrov spaces and their applications
  • Anton Petrunin, Polyhedral approximations of Riemannian manifolds.
  • Anton Petrunin and Wilderich Tuschmann, Asymptotical flatness and cone structure at infinity.
  • Anton Petrunin and Wilderich Tuschmann, Diffeomorphism finiteness, positive pinching, and second homotopy.
  • Anton Petrunin, Xiaochun Rong and Wilderich Tuschmann, Collapsing vs. positive pinching.
  • Anton Petrunin, Metric minimizing surfaces.
  • Anton Petrunin, Harmonic Functions on Alexandrov Space. (1996)
  • Anton Petrunin, Parallel transportation for Alexandrov space with curvature bounded below.
  • Anton Petrunin, Applications of quasigeodesics and gradient curves.
  • Grigori Perelman and Anton Petrunin, Quasigeodesics and Gradient curves in Alexandrov spaces. (1995)
  • Anton Petrunin, Quasigeodesics in multidimensional Alexandrov spaces. Ph.D. Thesis at UIUC
  • Grigori Perelman and Anton Petrunin, Extremal subsets in Aleksandrov spaces and the generalized Liberman theorem.
    Экстремальные подмножества в пространствах Александрова и обобщённая теорема Либермана

  • 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.