My books

• S. Alexander, V. Kapovitch, A. Petrunin, Alexandrov geometry: foundations.
• A. Petrunin, Pure metric geometry.
• A. Petrunin, PIGTIKAL (puzzles in geometry that I know and love).
• S. Alexander, V. Kapovitch, A. Petrunin, An invitation to Alexandrov geometry: CAT(0) spaces.

My textbooks

• A. Petrunin, S. Zamora Barrera, What is differential geometry: curves and surfaces
• A. Petrunin, Euclidean plane and its relatives; a minimalist introduction
• A. Petrunin, Extra pearls in graph theory

Modified books

• Corral's vector calculus
• Геометрия по Киселёву
• Переводы
  • П. Уинклер, Математические головоломки. Коллекция гурмана. — МЦНМО, 2024.
  • Л. В. Полтерович, Геометрия группы симплектоморфизмов.

Drafts

• A. Petrunin, Introduction to topology.
• A. Petrunin, Lectures on metric geometry, based on a graduate course, Penn State, Spring 2020. Parts of these notes are used in "Pure metric geometry" and "Metric geometry on manifolds: two lectures".

Popular level

• A. Petrunin, S. Stadler, Six proofs of the Fáry–Milnor theorem.
• A. Petrunin, N. Lebedeva, Alexandrov’s embedding theorem./Теорема Александрова о вложении многогранников.
• A. Petrunin, S. Zamora Barrera (with artwork by A. C. Chávez Cáliz), Moon in a puddle and the four-vertex theorem. Amer. Math. Monthly 129 (2022), no. 5.
• A. Petrunin, Self-crossing geodesics. Math. Intelligencer 43 (2021), no. 4.
• А. Петрунин, Сколько деревьев в графе. Квант, 2018, № 9.
• A. Akopyan, A. Petrunin, Long geodesics on convex surfaces. Math. Intelligencer 40 (2018), no. 3.
• A. Petrunin, A quest for 5-point condition a la Alexandrov. St. Petersburg Math. J. 29 (2018), no. 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, A. Yashinski, Piecewise distance preserving maps. St. Petersburg Math. J. 27:1.
    Кусочно изометрические отображения. Алгебра и анализ, 2015, 27:1
    Exteded version: Lectures on piecewise distance preserving maps
• A. Petrunin, Area minimizing polyhedral surfaces are saddle. Amer. Math. Monthly 122 (2015), no. 3.
• А. Петрунин, Плоское оригами и длинный рубль. Задачи Санкт-петербургской олимпиады школьников по математике, 2008.
• А. Петрунин, Плоское оригами и построения. Квант, 2008, № 1.
• А. Петрунин, С. Рукшин, Уникальносоставленные фигуры. Математическое просвещение, 10, (2006).

Unpopular level

• 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

• А. Д. Александров, Линейчатые поверхности в метрических пространствах. Вестник ЛГУ, (1957).
• G. Perelman, Alexandrov's space with curvatures bounded from below II.
• G. Perelman, DC structure on Alexandrov space with curvature bounded below.
• A. Wald, Begründung einer koordinatenlosen Differentialgeometrie der Flächen. Erg. Math. Kolloqu. 7 (1936).