Serge Tabachnikov

Geometry and Topology · 2002–2020

A researcher in the Science corpus: 12 papers; trusts 16 researchers and is trusted by 13 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 46 citations into it; #1,576 of 7,422 by trust here, #1,050 by citations
• Algebra and Number Theory — 22 citations into it; #2,006 of 2,864 by trust here, #1,397 by citations
• Mathematical Physics — 22 citations into it; #2,579 of 8,562 by trust here, #1,961 by citations
• Statistical and Nonlinear Physics — 20 citations into it; #1,798 of 10,127 by trust here, #2,158 by citations
• Computational Theory and Mathematics — 17 citations into it
• Discrete Mathematics and Combinatorics — 12 citations into it; #1,774 of 2,017 by trust here, #1,382 by citations
• Numerical Analysis — 6 citations into it
• Biomedical Engineering — 5 citations into it

Whom Serge Tabachnikov trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Richard Evan Schwartz
2. H. Masur
3. Valentin Ovsienko
4. Michael I. Gekhtman
5. Sergey Fomin
6. Max Glick
7. David Bao
8. Alexander Postnikov
9. Michael Shapiro
10. Andrei Zelevinsky

Who trusts Serge Tabachnikov overall

1. A. Wright
2. Sophie Morier-Genoud
3. Valentin Ovsienko
4. Misha Bialy
5. J. Smillie
6. Max Glick
7. Vadim Kaloshin
8. Krzysztof Frkaczek
9. J. '. Paiva
10. Shiri Artstein-Avidan

Papers from Serge Tabachnikov's perspective

Ordered by how strongly the researchers Serge Tabachnikov trusts endorse each paper. Same corpus, a different order for every researcher.

1. The Laurent Phenomenon (Advances in Applied Mathematics)
2. Discrete monodromy, pentagrams, and the method of condensation
3. Total positivity, Grassmannians, and networks
4. Perfect matchings and the octahedron recurrence
5. Moduli spaces of convex projective structures on surfaces
6. 2-frieze patterns and the cluster structure of the space of polygons
7. Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups
8. Bounds for Minkowski Billiard Trajectories in Convex Bodies
9. The Poncelet grid
10. Poncelet Porisms and Beyond

Their papers

• Dan Reznik’s identities and more (2020) — 56 citations
• Billiards in ellipses revisited (2020) — 49 citations
• INTEGRABLE CLUSTER DYNAMICS OF DIRECTED NETWORKS AND PENTAGRAM MAPS (2014) — 54 citations
• Liouville–Arnold integrability of the pentagram map on closed polygons (2011) — 73 citations
• Higher pentagram maps, weighted directed networks, and cluster dynamics (2011) — 53 citations
• 2-frieze patterns and the cluster structure of the space of polygons (2010) — 58 citations
• The Pentagram Map: A Discrete Integrable System (2008) — 146 citations
• Arithmetical properties of binomial coefficients (2007) — 92 citations
• Geometry and billiards (2005) — 438 citations
• Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups (2004) — 195 citations
• Rational billiards and flat structures (2002) — 389 citations
• Chapter 13 Rational billiards and flat structures (2002) — 112 citations