World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
4258
World Ranking
3491
National Ranking
1356

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Serge Tabachnikov is affiliated with Pennsylvania State University in the United States and works primarily within the field of Mathematics. Their research spans a number of specific subfields, including Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics, Computational Mechanics, and Applied Mathematics.

The research topics covered by Tabachnikov include Mathematics and Applications, Mathematical Dynamics and Fractals, Advanced Differential Equations and Dynamical Systems, Quantum Chaos and Dynamical Systems, Geometric and Algebraic Topology, Advanced Numerical Analysis Techniques, and Point Processes and Geometric Inequalities.

Recent publications by Serge Tabachnikov feature collaborations and contributions in various venues. Notable papers include:

  • "Variations on the Tait-Kneser Theorem," 2021, The Mathematical Intelligencer
  • "Billiards in ellipses revisited," 2020, European Journal of Mathematics
  • "Open Problems on Billiards and Geometric Optics," 2022, Arnold Mathematical Journal
  • "Differential Geometry of Space Curves: Forgotten Chapters," 2023, The Mathematical Intelligencer
  • "Self-Bäcklund curves in centroaffine geometry and Lamé's equation," 2022, Communications of the American Mathematical Society

Tabachnikov has published extensively, with frequent contributions to several venues. These include:

  • arXiv (Cornell University)
  • The Mathematical Intelligencer
  • European Journal of Mathematics
  • Journal of Experimental Mathematics
  • Arnold Mathematical Journal

The scientist has frequently collaborated with several other researchers, including Gil Bor, Maxim Arnold, Misha Bialy, Peter Albers, and Richard Evan Schwartz.

In recognition of their contributions to the field of mathematics, Serge Tabachnikov was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Geometry and billiards

    Serge Tabachnikov

  • Rational billiards and flat structures

    Howard Masur;Serge Tabachnikov

  • Projective differential geometry old and new : from the Schwarzian derivative to the cohomology of diffeomorphism groups

    V. Ovsienko;Serge Tabachnikov

  • Chapter 13 Rational billiards and flat structures

    Howard Masur;Serge Tabachnikov

  • Invariants of Legendrian and transverse knots in the standard contact space

    Dmitry Fuchs;Dmitry Fuchs;Serge Tabachnikov;Serge Tabachnikov

  • The Pentagram Map: A Discrete Integrable System

    Valentin Ovsienko;Richard Schwartz;Sergei Tabachnikov

  • Topological robotics: Motion planning in projective spaces

    Michael Farber;Serge Tabachnikov;Sergey Yuzvinsky

  • Mathematical Omnibus: Thirty Lectures on Classic Mathematics

    Dmitrij B. Fuks;Serge Tabachnikov

  • MORE ON PAPERFOLDING

    Dmitry Fuchs;Serge Tabachnikov

  • Pseudo-Riemannian geodesics and billiards

    Boris Khesin;Serge Tabachnikov

  • What is ⋯ the schwarzian derivative?

    Valentin Ovsienko;Sergei Tabachnikov

  • On the Dual Billiard Problem

    Unknown

  • Liouville–Arnold integrability of the pentagram map on closed polygons

    Valentin Ovsienko;Richard Evan Schwartz;Serge Tabachnikov

  • Billiards in Finsler and Minkowski geometries

    Eugene Gutkin;Serge Tabachnikov

  • Tractrices, Bicycle Tire Tracks, Hatchet Planimeters, and a 100-year-old Conjecture

    Robert Foote;Mark Levi;Serge Tabachnikov

  • The Poncelet Grid and Billiards in Ellipses

    Unknown

  • 2-frieze patterns and the cluster structure of the space of polygons

    Sophie Morier-Genoud;Valentin Ovsienko;Serge Tabachnikov

  • Geodesics on an ellipsoid in Minkowski space

    Daniel Genin;Boris Khesin;Serge Tabachnikov

  • TIRE TRACK GEOMETRY: VARIATIONS ON A THEME

    Serge Tabachnikov

  • Projective Differential Geometry Old and New

    Unknown

  • Dan Reznik’s identities and more

    Misha Bialy;Serge Tabachnikov

  • Higher pentagram maps, weighted directed networks, and cluster dynamics

    Michael Gekhtman;Michael Shapiro;Serge Tabachnikov;Alek Vainshtein

  • Topology of cyclic configuration spaces and periodic trajectories of multi-dimensional billiards

    Michael Farber;Serge Tabachnikov

  • Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid

    Serge Tabachnikov

  • Differential topology, infinite-dimensional Lie algebras, and applications : D.B. Fuchs' 60th anniversary collection

    Alexander Astashkevich;Serge Tabachnikov

  • Arithmetical properties of binomial coefficients

    Dmitry Fuchs;Serge Tabachnikov

Frequent Co-Authors

Valentin Ovsienko
Valentin Ovsienko University of Reims Champagne-Ardenne
Howard Masur
Howard Masur University of Chicago
Günter M. Ziegler
Günter M. Ziegler Freie Universität Berlin
Alexander Belyaev
Alexander Belyaev Heriot-Watt University
Anatole Katok
Anatole Katok Pennsylvania State University
Helmut Hofer
Helmut Hofer Institute for Advanced Study
Yakov Eliashberg
Yakov Eliashberg Stanford University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring related online degrees can enhance career prospects. For example, combining mathematical skills with digital marketing expertise through an ms in digital marketing degree cost usa program offers a strong blend of analytical and creative skills, opening doors in data-driven marketing roles.

Business-oriented students might consider fast-tracking their career with one of the year long mba programs. These programs provide essential management knowledge without extensive time commitments, making them ideal for professionals looking to pivot into leadership roles.

Additionally, many online programs offer flexibility through mba transfer credits. This feature allows students to accelerate their education by transferring previous coursework, saving time and tuition costs.

For those focused on data, complementing a mathematics background with a master’s in data analytics can be highly advantageous. The data analysis programs equip students with tools to interpret complex datasets, a skill increasingly valued across industries.

Best Scientists Citing Serge Tabachnikov

Trending Scientists