Curriculum Vitae of Vladlen Timorin Personal Information: • Date of Birth

Total Page:16

File Type:pdf, Size:1020Kb

Curriculum Vitae of Vladlen Timorin Personal Information: • Date of Birth Curriculum Vitae of Vladlen Timorin Personal Information: ² Date of birth: June 21, 1978 ² Place of birth: Moscow, Russia ² Family status: married, 1 child ² Citizenship: Russia Current Position: Associate Professor at Higher School of Economics, Moscow (since Fall 2009) Positions previously held: ² Post-Doc at Jacobs University Bremen, Germany (2007{2009) ² Lecturer (Post-Doc) at the Institute for Mathematical Sciences, SUNY at Stony Brook (2004{2007) Research Interests: ² Complex dynamics, dynamics of rational functions. ² Quadratic forms. ² Projective di®erential geometry of curves. ² Geometry and combinatorics of convex polytopes. Education: 2004, PhD: University of Toronto, Department of Mathematics, "Recti¯able families of conics", Advisor: Askold Khovanskii 2003, PhD: Steklov Mathematical Institute, Moscow, "Combinatorial Analogues of the Cohomology Algebras for Convex Polytopes" 2000, Diploma: Moscow State University, Department of Mechanics and Mathematics, "An analog of the Hard Lefschetz theorem for polytopes simple in edges" 2000, Diploma: Independent University of Moscow, "Small resolutions of polytopes and the generalized h-vector" Mathematical Honors and Awards: ² MÄobiusPrize, http://www.moebiuscontest.ru ² Ontario Graduate Scholarship ² Connaught Graduate Scholarship, University of Toronto Published research papers: (1) The external boundary of M2, Fields Institute Communications Vol. 53: \Holomorphic Dynamics and Renormalization, A Volume in Honour of John Milnor's 75th Birthday", 225{267 (2) Recti¯able pencils of conics, Moscow Mathematical Journal 7 (2007), no. 3, 561{570 (3) On binary quadratic forms with semigroup property, (joint with Francesca Aicardi), Pro- ceedings of Steklov Institute 258 (2007), the volume dedicated to the 70th birthday of V. Arnold (4) Maps That Take Lines To Circles, in Dimension 4, Functional Analysis and its Applica- tions 40 (2006), no. 2, 108{116, (5) Circles and quadratic maps between spheres, Geometriae Dedicata 115 (2005), pp. 19{32, (6) Circles and Cli®ord algebras, Functional Analysis and its Applications, 38 (2004), No. 1, 45{51, (7) KÄahlermetrics whose geodesics are circles, Proceedings of the Conference \Fundamental Mathematics Today", Ed. S.K. Lando and O.K. Sheinman, pp. 284{293 1 (8) Recti¯cation of circles and quaternions, Michigan Mathematical Journal, 51 (2003), 153{ 167 (9) On polytopes that are simple at the edges, Functional Analysis and its Applications, 35, No. 3 (2001), 189{198 (10) An analogue of the Hodge-Riemann relations for simple polytopes, Russian Mathematical Surveys, 54, No.2 (1999), 381{426 (11) Mixed Hodge-Riemann relations in linear context, Functional Analysis and its Applications, 32, No. 4 (1999), 268{272 Preprints: (1) Topological regluing of holomorphic functions, to appear in Inventiones Mathematicae (2) Moore's theorem. (3) Powerful facets (joint with Dusa McDu® and Susan Tolman), an Appendix to Polytopes with mass linear functions, part I, by D. McDu® and S. Tolman (4) On partial semi-conjugacies of quadratic polynomials, (5) Variations on the Tait-Kneser theorem (joint with Sergei Tabachnikov), Books and popular articles: (1) Book: Quadratic arithmetic in problems (joint with F. Aicardi), in preparation (2) Sylvester's problem [in Russian] (joint with S. Tabachnikov), to appear in Kvant. (3) Arithmetic triangles [in Russian], Kvant, 6 (2008) (4) Quadratic mathematics [in Russian], draft of a short book based on lecture notes from a Summer School in Dubna. (5) Book: Combinatorics of Convex Polytopes [in Russian], MCCME Moscow, 2002 Research grants: \Combinatorics and dynamics of rational functions" (joint with D. Schleicher and Y. Mikulich), DFG grant SCHL-670/2-1 (2009 - ) 2 Selected lectures: 2009 June Conference \Advances in Low-Dimensional dynamics", Stony Brook April Marburg University Boston University January Institut Henry Poincar¶e,Paris 2008 October Workshop \Trends and Developments in Complex Dynamics", Oberwolfach June Second Canada{France congress, Montreal February Mini-conference on dynamical systems, Hamburg 2007 November Conference of winners of the Moebius prize, Moscow October Workshop on symbolic dynamics, Soeminestationen, Denmark June University of Liverpool November University of Liverpool May Workshop on complex dynamics, Zacatecas, Mexico 2006 October Pennsylvania State University July Conference \Di®erential equations, dynamical systems and singularity theory", Suzdal June Conference \Low-dimensional mathematics", St. Peterburg June Dynamical systems seminar, Moscow May University of Chicago April University of Toronto, Fields Institute, Toronto 2005 September University of Massachusetts at Amherst June The Abdus Salam International Centre for Theoretical Physics, Trieste June Gauss-Dirichlet conference, Goettingen April Pennsylvania State University 2003 December Conference "Hilbert 16", IUM - Moscow June St. Petersburg Mathematical Society Seminar on Low-Dimensional Mathematics, St. Petersburg April Workshop "Theory of Webs and Di®erential Equations", Luminy, Marseille 2002 December Winter meeting of Canadian Mathematical Society, Ottawa 2001 December Conference "Fundamental Mathematics Today", IUM - Moscow December Winter meeting of Canadian Mathematical Society, Toronto 2000 April Conference of young mathematicians, Moscow 1998 November Moscow Mathematical Society Teaching: 2008/2009: General mathematics and computational science II, Multivariable calculus and ODE (Jacobs University Bremen) 2007/2008: Linear algebra and stochastic processes; Perspectives in mathematics, General mathematics and Computational Science (Jacobs University Bremen) 2006/2007: Problem Solving in Mathematics, Graduate Problem Seminar, Undergraduate research project, Putnam training sessions (SUNY at Stony Brook) 2005/2006: Calculus III: Vector Calculus, Geometric Structures (geometry for prospective high school teachers), Putnam training sessions (SUNY at Stony Brook); Quadratic Math- ematics (Dubna summer school) 2004/2005: Graduate Topology, Graduate Topology and Di®erential Geometry (SUNY at Stony Brook) 2001: Convex Polytopes (Dubna summer school) 1999/2000: Convex bodies and convex polytopes (IUM) Service: 2009: organizer: Geometry and Dynamics seminar, Jacobs University Bremen 3 2007{2008: mini-courses on dynamics, Math Battles, Jacobs University Bremen 2006{2007: Dynamical Systems Seminar, Putnam training, SUNY at Stony Brook 2004{2006: IMS preprint series, SUNY at Stony Brook 2005{2007: Problem of the Month, SUNY at Stony Brook 2000{2001 and 2003: Geometry Seminar, University of Toronto 1997: Team supervisor, International Conference for high-school students, Izmir, Turkey 1996: Team supervisor, International Olympiad for high-school students, Ankara, Turkey 1995{1999: Member of the Organization Committee, International Conference for gifted high-school students, Chernogolovka, Russia 4.
Recommended publications
  • Curriculum Vitae of Vladlen Timorin Current Positions: • Faculty Of
    Curriculum Vitae of Vladlen Timorin Current Positions: • Faculty of Mathematics, National Research University Higher School of Economics, Pro- fessor and Dean • Laboratory of Algebraic Geometry and its Applications, Researcher Positions previously held: • Independent University of Moscow, Vice-president (2011{2015) • Associate Professor, Faculty of Mathematics, National Research University Higher School of Economics (2009{2012) • Post-Doctoral Fellow at Jacobs University Bremen, Germany (2007{2009) • Lecturer (Post-Doctoral Fellow) at the Institute for Mathematical Sciences, State Univer- sity of New York at Stony Brook (2004{2007) • Visitor, Max-Planck-Institut f¨urMathematik, Bonn (Spring 2010) Research Interests: • Complex dynamics, dynamics of rational functions. • Quadratic forms. • Projective differential geometry of curves. • Geometry and combinatorics of convex polytopes. Habilitation thesis: \Dynamics and geometry of quadratic rational maps", defended on January 17, 2012, RAS Institute for Information Transmission Problems (Moscow) Membership in Editorial Boards: • Arnold Mathematical Journal (IMS at Stony Brook, Springer), Managing Editor • Journal of Dynamical and Control Systems (Springer), Associate Editor Education: 2004, PhD: University of Toronto, Department of Mathematics, “Rectifiable families of conics", Advisor: Askold Khovanskii 2003, PhD: Steklov Mathematical Institute, Moscow, \Combinatorial Analogues of the Cohomology Algebras for Convex Polytopes" 2000, Diploma: Moscow State University, Department of Mechanics and Mathematics, \An analog of the Hard Lefschetz theorem for polytopes simple in edges" 2000, Diploma: Independent University of Moscow, \Small resolutions of polytopes and the generalized h-vector" Mathematical Honors and Awards: • Dynasty Foundation Contest Winner 2013, http://www.mccme.ru/dfc/ • P. Deligne's Contest Winner 2010, http://www.mccme.ru/pdc/ • M¨obiusPrize, http://www.moebiuscontest.ru • Ontario Graduate Scholarship • Connaught Graduate Scholarship, University of Toronto Scientific grants.
    [Show full text]
  • Moscow Lectures
    Moscow Lectures Volume 6 Series Editors Lev D. Beklemishev, Moscow, Russia Vladimir I. Bogachev, Moscow, Russia Boris Feigin, Moscow, Russia Valery Gritsenko, Moscow, Russia Yuly S. Ilyashenko, Moscow, Russia Dmitry B. Kaledin, Moscow, Russia Askold Khovanskii, Moscow, Russia Igor M. Krichever, Moscow, Russia Andrei D. Mironov, Moscow, Russia Victor A. Vassiliev, Moscow, Russia Managing Editor Alexey L. Gorodentsev, Moscow, Russia More information about this series at http://www.springer.com/series/15875 Serge Lvovski Principles of Complex Analysis Serge Lvovski National Research University Higher School of Economics Moscow, Russia Federal Science Center System Research Institute of Russian Academy of Sciences (FGU FNC NIISI RAN) Moscow, Russia Translated from the Russian by Natalia Tsilevich. Originally published as Принципы комплексного анализа by MCCME, Moscow, 2017. ISSN 2522-0314 ISSN 2522-0322 (electronic) Moscow Lectures ISBN 978-3-030-59364-3 ISBN 978-3-030-59365-0 (eBook) https://doi.org/10.1007/978-3-030-59365-0 Mathematics Subject Classification (2020): 30-01 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.
    [Show full text]
  • Leonid Monin CV Employment Education Research Awards
    Leonid Monin CV Affiliation University of Bristol, Email [email protected] School of Mathematics, Website http://www.math.toronto.edu/lmonin/ Fry Building Woodland Road, Date of Birth 8th December 1992 Bristol BS8 1UG Citizenship Russia Employment June 2019 - May 2021 Research Associate, the University of Bristol Education May 2019 PhD in Mathematics advised by Askold Khovanskii, University of Toronto June 2013 BSc in Mathematics, Higher School of Economics, Moscow Research Publications and Preprints 10. Triangulations and Canonical Forms of Amplituhedra: a fiber-based approach beyond polytopes - http: //www.arxiv.org/abs/2010.07254, 2020, with F. Mohammadi and M. Parisi 9. Cohomology of toric bundles and rings of conditions of horospherical varieties - http://www.arxiv.org/ abs/2006.12043, 2020, with J. Hofscheier and A. Khovanskii 8. Maximum likelihood degree and space of orbits of a C∗-action - http://www.arxiv.org/abs/2004.07735, 2020, with M. Micha lekand J. Wi´sniewski 7. Overdetermined Linear Systems on Toric, Spherical and Other Algebraic Varieties - Advances in Math- ematics, 2020, 6. Projective Embeddings of M 0;n and Parking Functions' - http://www.arxiv.org/abs/1912.12343, 2019, with R. Cavalieri and M. Gillespie 5. On Normalizations of Thurston Measure on the Space of Measured Laminations - Topology and its Applications, 2019, with V. Telpukhovskiy 4. Discrete Invariants of Generically Inconstant Systems - C. R. Math. Rep. Acad. Sci. Canada, 2017 3. Equations for M 0;n - Combinatorial Algebraic Geometry Edited by Gregory G. Smith and Bernd Sturm- fels, 2017, with J. Rana 2. Resultants of Developed Systems of Laurent Polynomials - Moscow Mathematical Journal, 2017, with A.
    [Show full text]
  • Arnold: Swimming Against the Tide / Boris Khesin, Serge Tabachnikov, Editors
    ARNOLD: Real Analysis A Comprehensive Course in Analysis, Part 1 Barry Simon Boris A. Khesin Serge L. Tabachnikov Editors http://dx.doi.org/10.1090/mbk/086 ARNOLD: AMERICAN MATHEMATICAL SOCIETY Photograph courtesy of Svetlana Tretyakova Photograph courtesy of Svetlana Vladimir Igorevich Arnold June 12, 1937–June 3, 2010 ARNOLD: Boris A. Khesin Serge L. Tabachnikov Editors AMERICAN MATHEMATICAL SOCIETY Providence, Rhode Island Translation of Chapter 7 “About Vladimir Abramovich Rokhlin” and Chapter 21 “Several Thoughts About Arnold” provided by Valentina Altman. 2010 Mathematics Subject Classification. Primary 01A65; Secondary 01A70, 01A75. For additional information and updates on this book, visit www.ams.org/bookpages/mbk-86 Library of Congress Cataloging-in-Publication Data Arnold: swimming against the tide / Boris Khesin, Serge Tabachnikov, editors. pages cm. ISBN 978-1-4704-1699-7 (alk. paper) 1. Arnold, V. I. (Vladimir Igorevich), 1937–2010. 2. Mathematicians–Russia–Biography. 3. Mathematicians–Soviet Union–Biography. 4. Mathematical analysis. 5. Differential equations. I. Khesin, Boris A. II. Tabachnikov, Serge. QA8.6.A76 2014 510.92–dc23 2014021165 [B] Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy select pages for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Permissions to reuse portions of AMS publication content are now being handled by Copyright Clearance Center’s RightsLink service.
    [Show full text]
  • Curriculum Vitae of Vladlen Timorin Current Positions: • Faculty Of
    Curriculum Vitae of Vladlen Timorin Current Positions: • Faculty of Mathematics, National Research University Higher School of Economics, Pro- fessor and Deputy Dean • Independent University of Moscow, Vice-president • Laboratory of Algebraic Geometry and its Applications, Researcher Positions previously held: • Associate Professor, Faculty of Mathematics, National Research University Higher School of Economics (2009{2012) • Post-Doctoral Fellow at Jacobs University Bremen, Germany (2007{2009) • Lecturer (Post-Doctoral Fellow) at the Institute for Mathematical Sciences, State Univer- sity of New York at Stony Brook (2004{2007) • Visitor, Max-Planck-Institut f¨urMathematik, Bonn (Spring 2010) Research Interests: • Complex dynamics, dynamics of rational functions. • Quadratic forms. • Projective differential geometry of curves. • Geometry and combinatorics of convex polytopes. Habilitation thesis: \Dynamics and geometry of quadratic rational maps", defended on January 17, 2012, RAS Institute for Information Transmission Problems (Moscow) Education: 2004, PhD: University of Toronto, Department of Mathematics, “Rectifiable families of conics", Advisor: Askold Khovanskii 2003, PhD: Steklov Mathematical Institute, Moscow, \Combinatorial Analogues of the Cohomology Algebras for Convex Polytopes" 2000, Diploma: Moscow State University, Department of Mechanics and Mathematics, \An analog of the Hard Lefschetz theorem for polytopes simple in edges" 2000, Diploma: Independent University of Moscow, \Small resolutions of polytopes and the generalized
    [Show full text]
  • Vice-President Notes in THIS ISSUE DANS CE NUMÉRO
    December/ décembre 2014 Math in Moscow Math à Moscou ............. 15 Vice-President Notes IN THIS ISSUE Gregory G. Smith, CMS Vice-President—Ontario DANS CE NUMÉRO he CMS website it involves working with the Statistical Vice-President Notes . 1 includes the sen- Society of Canada (SSC) to convince Notes du vice-président . 3 tence “The Canadian Statistics Canada to preserve its educational T Editorial Notes Mathematical Society pro- outreach materials. By providing secretarial Thoughts on Lecturing / motes the advancement, and logistic support, the CMS also aids Réflexions sur les exposés magistraux ...... 2 discovery, learning and the annual meeting of Chairs and Heads of Calendar Notes . 5 application of mathematics Canadian Mathematics Departments. If the Book Review Notes . 6 in Canada.” As a mission CMS did not exist, then we would need to Classification and Identification statement, it has the benefits of being both create a similar organization just to do this of Lie Algebras .......................... 6 More Fallacies, Flaws and Flimflam ......... 8 clear and concise. Although there are mem- important work. Choosing to engage in these bers of the CMS who would like something Education Notes particular activities is rather easy because Should (or does) mathematics education more specific or inspirational, I am unaware they require relatively few resources. research inform our mathematics of anyone who literally disagrees with this However, our ability to successfully undertake teaching practice? ...................... 10 sentence. The ongoing challenge is figure many of them does depend on the CMS Research Notes ......................... 12 out how to accomplish this goal. Given the credibly representing Canadian mathematical How to Analyse Hamiltonian inherent limits on volunteer’s time and financial community.
    [Show full text]
  • Tribute to Vladimir Arnold Boris Khesin and Serge Tabachnikov, Coordinating Editors
    Tribute to Vladimir Arnold Boris Khesin and Serge Tabachnikov, Coordinating Editors Vladimir Arnold, an eminent mathematician of My first mathematical revelation was when I our time, passed away on June 3, 2010, nine days met my first real teacher of mathematics, Ivan before his seventy-third birthday. This article, Vassilievich Morozkin. I remember the problem along with one in the next issue of the Notices, about two old ladies who started simultaneously touches on his outstanding personality and his from two towns to- great contribution to mathematics. ward each other, met A word about spelling: we use “Arnold”, as at noon, and who opposed to “Arnol’d”; the latter is closer to the Rus- reached the oppo- sian pronunciation, but Vladimir Arnold preferred site towns at 4 p.m. the former (it is used in numerous translations of and 9 p.m., respec- his books into English), and we use it throughout. tively. The question was when they started Arnold in His Own Words their trip. In 1990 the second author interviewed V. Arnold We didn’t have al- for a Russian magazine Kvant (Quantum). The gebra yet. I invented readership of this monthly magazine for physics an “arithmetic” solu- and mathematics consisted mostly of high school tion (based on a scal- students, high school teachers, and undergraduate ing—or similarity— students; the magazine had a circulation of about argument) and expe- 200,000. As far as we know, the interview was never rienced a joy of dis- translated into English. We translate excerpts from covery; the desire to Vladimir Igorevich Arnold this interview;1 the footnotes are ours.
    [Show full text]
  • Operator Theory and Its Applications
    FIELDS INSTITUTE COMMUNICATIONS THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES Operator Theory and Its Applications A. G. Ramm P. N. Shivakumar A. V. Strauss Editors American Mathematical Society Selected Titles in This Series 25 A. G. Ramm, P. N. Shivakumar, and A. V. Strauss, Editors, Operator theory and its applications, 2000 24 Edward Bierstone, Boris Khesin, Askold Khovanskii, and Jerrold E. Marsden, Editors, The Arnoldfest: Proceedings of a conference in honour of V. I. Arnold for his sixtieth birthday, 1999 23 Myrna H. Wooders, Editor, Topics in mathematical economics and game theory. Essays in honor of Robert J. Aumann, 1999 22 Graciela Chichilnisky, Editor, Topology and markets, 1999 21 Shigui Ruan, Gail S. K. Wolkowicz, and Jianhong Wu, Editors, Differential equations with applications to biology, 1998 20 Peter A. Fillmore and James A. Mingo, Editors, Operator algebras and their applications II, 1998 19 William G. Dwyer, Stephen Halperin, Richard Kane, Stanley O. Kochman, Mark E. Mahowald, and Paul S. Selick (Editor-in-Chief), Editors, Stable and unstable homotopy, 1998 18 Panos M. Pardalos and Henry Wolkowicz, Editors, Topics in semidefinite and interior-point methods, 1998 17 Joachim J. R. Cuntz and Masoud Khalkhali, Editors, Cyclic cohomology and noncommutative geometry, 1997 16 Victor P. Snaith, Editor, Algebraic K-theory, 1997 15 Stephen P. Braham, Jack D. Gegenberg, and Robert J. McKellar, Editors, Sixth Canadian conference on general relativity and relativistic astrophysics, 1997 14 Mourad E. H. Ismail, David R. Masson, and Mizan Rahman, Editors, Special functions, q-series and related topics, 1997 13 Peter A. Fillmore and James A. Mingo, Editors, Operator algebras and their applications, 1997 12 Dan-Virgil Voiculescu, Editor, Free probability theory, 1997 11 Colleen D.
    [Show full text]
  • Analytic Theory of Differential and Difference Equations
    Analytic Theory of Differential and Difference Equations Online conference dedicated to the memory of Andrey Bolibrukh January 28 { February 3, 2021 Organizers Steklov Mathematical Institute of Russian Academy of Sciences, Moscow Steklov International Mathematical Center, Moscow Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow National Research University | Higher School of Economics, Moscow The conference is supported by the Simons Foundation and the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, agreement no. 075-15-2019-1614). Talks S. Abramov, Sequences in the role of coefficients of difference operators Yu. Bibilo, Application of Painlev´e3 equations to dynamical systems on 2-torus modeling Josephson junction V. Dragovi´c, Dynamics of extremal polynomials, isomonodromic and iso- harmonic deformations A. Durmagambetov, New estimates of the potential in the Schr¨odinger equation R. Gontsov, Convergence of generalized power series solutions of q-difference equations: the case without small divisors D. Guzzetti, Isomonodromic Laplace transform with coalescing eigenvalues and confluence of Fuchsian singularities G. Helminck, Darboux transformations of the dKP hierarchy and its strict version A. Khovanskii, On solvability of linear differential equations by quadra- tures I. Kossovskiy, Real-analytic coordinates for smooth strictly pseudoconvex CR structures A. Lastra, On Gevrey asymptotics for linear singularly perturbed equations with linear fractional transforms F. Loray, Projective structures and neighborhoods of rational curves M. Mazzocco, Quantum Painlev´emonodromy manifolds and Sklyanin{ Painlev´ealgebra, I A. Mironov, On commuting difference operators J. Mozo, Nilpotent singularities of foliations of generalized Poincar´e{Dulac type Y.
    [Show full text]
  • Moscow Lectures
    Moscow Lectures Volume 1 Series editors Lev D. Beklemishev, Moscow, Russia Vladimir I. Bogachev, Moscow, Russia Boris Feigin, Moscow, Russia Valery Gritsenko, Moscow, Russia Yuly S. Ilyashenko, Moscow, Russia Dmitry B. Kaledin, Moscow, Russia Askold Khovanskii, Moscow, Russia Igor M. Krichever, Moscow, Russia Andrei D. Mironov, Moscow, Russia Victor A. Vassiliev, Moscow, Russia Managing editor Alexey L. Gorodentsev, Moscow, Russia More information about this series at http://www.springer.com/series/15875 Yuri I. Manin Introduction to the Theory of Schemes 123 Yuri I. Manin Max Planck Institute for Mathematics Bonn, Germany Translated from the Russian and edited by Dimitry Leites. English edited by Andrei Iacob. ISSN 2522-0314 ISSN 2522-0322 (electronic) Moscow Lectures ISBN 978-3-319-74315-8 ISBN 978-3-319-74316-5 (eBook) https://doi.org/10.1007/978-3-319-74316-5 Library of Congress Control Number: 2018930024 Mathematics Subject Classification (2010): 14-01 © The Author(s) 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.
    [Show full text]
  • Jeffery-Williams Prize Prix Jeffery-Williams
    Askold Khovanskii’s widely influential research involves a striking and innovative combination of algebraic geometry, topology and combinatorics. In his Ph.D. thesis, Askold introduced a topological variant of Galois theory. He continues to extend this theory, which gives the strongest results about solvability and unsolvability of algebraic and differential equations in finite terms, and his book on this subject has just appear in the Springer Monographs in Mathematics series. He is one of the creators of the Newton Polyhedra theory linking algebraic geometry Jeffery-Williams Prize and the combinatorics and geometry of integral convex polyhedra. Askold Khovanskii Another of Askold’s innovations is the theory of fewnomials, which involves a category of transcendental varieties reminiscent of algebraic geometry. Finally, in recent collaborative work with Kaveh and others, Askold has developed the theory of Newton-Okounkov bodies, which has proved to be an important new tool in both algebraic geometry and geometry of convex bodies and has spawned a rapidly growing research area. Les travaux d’Askold Khovanskii jouissent d’une très large influence et mettent en jeu un mélange étonnant et innovateur de géométrie algébrique, de topologie et de combinatoire. Il a entrepris l’étude des variantes topologiques de la Prix Jeffery-Williams théorie de Galois dans sa thèse de doctorat. Il continue d’approfondir sa théorie, dont les résultats les plus Askold Khovanskii solides portent sur la solvabilité et l’insolvabilité des équations algébriques et différentielles en termes finis. Son ouvrage sur ce sujet vient d’ailleurs de paraître dans la collection « Monographs in Mathematics » aux éditions Springer.
    [Show full text]
  • On the Theory of Coconvex Bodies Askold Khovanskiĭ & Vladlen Timorin
    On the Theory of Coconvex Bodies Askold Khovanskiĭ & Vladlen Timorin Discrete & Computational Geometry ISSN 0179-5376 Discrete Comput Geom DOI 10.1007/s00454-014-9637-y 1 23 Your article is protected by copyright and all rights are held exclusively by Springer Science +Business Media New York. This e-offprint is for personal use only and shall not be self- archived in electronic repositories. If you wish to self-archive your article, please use the accepted manuscript version for posting on your own website. You may further deposit the accepted manuscript version in any repository, provided it is only made publicly available 12 months after official publication or later and provided acknowledgement is given to the original source of publication and a link is inserted to the published article on Springer's website. The link must be accompanied by the following text: "The final publication is available at link.springer.com”. 1 23 Author's personal copy Discrete Comput Geom DOI 10.1007/s00454-014-9637-y On the Theory of Coconvex Bodies Askold Khovanski˘ı · Vladlen Timorin Received: 24 November 2013 / Revised: 29 August 2014 / Accepted: 3 September 2014 © Springer Science+Business Media New York 2014 Abstract If the complement of a closed convex set in a closed convex cone is bounded, then this complement minus the apex of the cone is called a coconvex set. Coconvex sets appear in singularity theory (they are closely related to Newton diagrams) and in commutative algebra. Such invariants of coconvex sets as volumes, mixed volumes, number of integer points, etc., play an important role.
    [Show full text]