Michael Polyak

1.3k citations
21 papers · 522 · h-index 9

Impact in

Papers in

Michael Polyak

19 papers receiving 436 citations

Peers

Michael Polyak
Comparison fields: 5 of 34
  • Discrete Mathematics and Combinatorics 263
  • Geometry and Topology 490
  • Mathematical Physics 360
  • Computer Graphics and Computer-Aided Design 35
  • Computational Theory and Mathematics 93
Replace Vassily Olegovich Manturov with:
Vassily Olegovich Manturov Russia
Xiao-Song Lin United States
Peter Teichner United States
Efstratia Kalfagianni United States
Kouki Taniyama Japan
Charles Livingston United States
Abigail Thompson United States
D. Cooper United States
R. A. Litherland United States
William W. Menasco United States
Michael Polyak relative to Vassily Olegovich Manturov Russia Vassily Olegovich Manturov's profile →
Citations per field
00.5×1.5×1.8×
Vassily Olegovich Manturov · 1×
Citations per year

Countries citing papers authored by Michael Polyak

Since Specialization
Citations

This map shows the geographic impact of Michael Polyak's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Polyak with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Polyak more than expected).

Fields of papers citing papers by Michael Polyak

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Polyak. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Polyak. The network helps show where Michael Polyak may publish in the future.

Co-authors

The 5 scholars most cited alongside Michael Polyak, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Michael Polyak Line = papers co-authored together Michael Polyak links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 21 papers — load more, or switch the sort, to bring in the rest.

#Work
1 2000231
2
1994110
3 201056
4 200130
5 199823
6 200014
7 199410
8 20029
9 19978
10 20096
11 19965
12 20055
13 20094
14 20033
15
Minimal sets of Reidemeister moves
20092
16 20102
17
New Whitney-type formulae for plane curves.
19991
18 19871
19 20031
20 19921

About Michael Polyak

Michael Polyak is a scholar working on Geometry and Topology, Mathematical Physics, Discrete Mathematics and Combinatorics, Computational Mechanics and Computational Theory and Mathematics, having authored 21 papers that have together received 522 indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (13 papers), Geometric and Algebraic Topology (13 papers), Advanced Combinatorial Mathematics (8 papers), Mathematics and Applications (4 papers), Advanced Numerical Analysis Techniques (2 papers), semigroups and automata theory (2 papers), Computational Geometry and Mesh Generation (1 paper) and Mathematical Dynamics and Fractals (1 paper). The work is most often cited by research in Discrete Mathematics and Combinatorics (263 citations), Geometry and Topology (490 citations), Mathematical Physics (360 citations), Computer Graphics and Computer-Aided Design (35 citations) and Computational Theory and Mathematics (93 citations). Michael Polyak has collaborated with scholars based in Israel, Russia and Sweden. Frequent co-authors include Oleg Viro, Sergei Matveev, Grigory Mikhalkin, Sergei Chmutov and Serge Tabachnikov. Their work appears in journals such as Topology, International Mathematics Research Notices, Algebraic & Geometric Topology, Moscow Mathematical Journal and Geometriae Dedicata.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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