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Anton Petrunin's Projects

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230H, Honors Calculus and Vector Analysis, Fall 2016

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MATH 312, Concepts of Real Analysis, Spring 2017

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MATH 417, QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONSS, SPRING 2017

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MATH 427, FOUNDATIONS OF GEOMETRY, FALL 2017

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MATH 429, Introduction to topology, Spring 2017

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MATH 485, GRAPH THEORY, FALL 2018

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MATH 528, DIFFERENTIABLE MANIFOLDS

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Unfinished lecture notes in differential geometry

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Александровская геометрия

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"Nilpotency, almost nonnegative curvature, and gradient flow" by Vitali Kapovitch, Anton Petrunin and Wilderich Tuschmann.

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Asymptotical flatness and cone structure at infinity by Anton Petrunin and Wilderich Tuschmann

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Предварительный вариант перевода книжки Уинклера --- замечания приветсвуются.

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Euclidean plane and its relatives; a minimalist introduction.

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"Alexandrov geometry: foundations" by S. Alexander, V. Kapovitch, and A. Petrunin

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Semiconcave functions in Alexandrov's geometry

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"Ramification conjecture and Hirzebruch's property of line arrangements" by Dima Panov, Anton Petrunin

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"Curvature tensor of smoothable Alexandrov spaces" by Nina Lebedeva and Anton Petrunin

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"Cyclic projections in Hadamard spaces" by Alexander Lytchak and Anton Petrunin

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"Bipolar comparison" by Nina Lebedeva, Anton Petrunin and Vladimir Zolotov

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"Six proofs of the Fáry–Milnor theorem" by Anton Petrunin and Stephan Stadler

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"What is differential geometry: curves and surfaces" by Anton Petrunin and Sergio Zamora Barrera

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