Michael Polyak

1.3k total citations
21 papers, 522 citations indexed

About

Michael Polyak is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Michael Polyak has authored 21 papers receiving a total of 522 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Geometry and Topology, 14 papers in Mathematical Physics and 8 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Michael Polyak's work include Geometric and Algebraic Topology (13 papers), Homotopy and Cohomology in Algebraic Topology (13 papers) and Advanced Combinatorial Mathematics (8 papers). Michael Polyak is often cited by papers focused on Geometric and Algebraic Topology (13 papers), Homotopy and Cohomology in Algebraic Topology (13 papers) and Advanced Combinatorial Mathematics (8 papers). Michael Polyak collaborates with scholars based in Israel, Russia and Sweden. Michael Polyak's co-authors include Oleg Viro, Sergei Matveev, Grigory Mikhalkin, Sergei Chmutov and Serge Tabachnikov and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Differential Geometry and Russian Mathematical Surveys.

In The Last Decade

Michael Polyak

19 papers receiving 436 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Michael Polyak Israel	9	490	360	263	93	35	21	522
Xiao-Song Lin United States	12	668 1.4×	506 1.4×	290 1.1×	125 1.3×	17 0.5×	38	719
Vassily Olegovich Manturov Russia	14	555 1.1×	404 1.1×	328 1.2×	174 1.9×	32 0.9×	78	597
J. Scott Carter United States	10	568 1.2×	404 1.1×	230 0.9×	123 1.3×	41 1.2×	26	596
Abigail Thompson United States	12	385 0.8×	240 0.7×	124 0.5×	117 1.3×	49 1.4×	37	422
Charles Livingston United States	17	696 1.4×	540 1.5×	193 0.7×	177 1.9×	33 0.9×	75	764
R. A. Litherland United States	13	469 1.0×	306 0.8×	147 0.6×	118 1.3×	44 1.3×	16	517
Kouki Taniyama Japan	12	296 0.6×	183 0.5×	171 0.7×	124 1.3×	62 1.8×	40	348
D. Cooper United States	10	476 1.0×	361 1.0×	170 0.6×	91 1.0×	13 0.4×	23	505
Józef H. Przytycki United States	18	823 1.7×	612 1.7×	327 1.2×	167 1.8×	17 0.5×	92	912
Tim D. Cochran United States	17	890 1.8×	791 2.2×	204 0.8×	171 1.8×	21 0.6×	52	912

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-authorship network of co-authors of Michael Polyak

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Polyak. A scholar is included among the top collaborators of Michael Polyak based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Polyak. Michael Polyak is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Polyak, Michael, et al.. (2013). Integrating curvature: From Umlaufsatz toJ+invariant. Topology and its Applications. 160(7). 871–874.

Polyak, Michael. (2010). Minimal generating sets of Reidemeister moves. 1(4). 399–411. 56 indexed citations

Polyak, Michael, et al.. (2010). Whitney’s formulas for curves on surfaces. Geometriae Dedicata. 151(1). 97–106. 2 indexed citations

Polyak, Michael. (2009). Minimal sets of Reidemeister moves. arXiv (Cornell University). 2 indexed citations

Chmutov, Sergei & Michael Polyak. (2009). Elementary Combinatorics of the HOMFLYPT Polynomial. International Mathematics Research Notices. 2010(3). 480–495. 6 indexed citations

Matveev, Sergei & Michael Polyak. (2009). A SIMPLE FORMULA FOR THE CASSON–WALKER INVARIANT. Journal of Knot Theory and Its Ramifications. 18(6). 841–864. 4 indexed citations

Polyak, Michael. (2005). Skein relations for Milnor’sμ-invariants. Algebraic & Geometric Topology. 5(4). 1471–1479. 5 indexed citations

Matveev, Sergei & Michael Polyak. (2003). Finite-Type Invariants of Cubic Complexes. Acta Applicandae Mathematicae. 75(1-3). 125–132. 3 indexed citations

Polyak, Michael, et al.. (2003). Geometry of Whitney-Type Formulas. Moscow Mathematical Journal. 3(3). 823–832. 1 indexed citations

10.

Matveev, Sergei & Michael Polyak. (2002). Cubic complexes and finite type invariants. Geometry and topology monographs. 215–233. 9 indexed citations

11.

Polyak, Michael & Oleg Viro. (2001). ON THE CASSON KNOT INVARIANT. Journal of Knot Theory and Its Ramifications. 10(5). 711–738. 30 indexed citations

12.

Polyak, Michael, et al.. (2000). Finite-type invariants of classical and virtual knots. Topology. 39(5). 1045–1068. 231 indexed citations

13.

Polyak, Michael. (2000). On the Algebra of Arrow Diagrams. Letters in Mathematical Physics. 51(4). 275–291. 14 indexed citations

14.

Tabachnikov, Serge & Michael Polyak. (1999). New Whitney-type formulae for plane curves.. Max Planck Institute for Plasma Physics. 103–111. 1 indexed citations

15.

Polyak, Michael. (1998). Invariants of curves and fronts via Gauss diagrams. Topology. 37(5). 989–1009. 23 indexed citations

16.

Mikhalkin, Grigory & Michael Polyak. (1996). Whitney formula in higher dimensions. Journal of Differential Geometry. 44(3). 5 indexed citations

17.

Polyak, Michael & Oleg Viro. (1994). . International Mathematics Research Notices. 1994(11). 445–445. 110 indexed citations

18.

Matveev, Sergei & Michael Polyak. (1994). A geometrical presentation of the surface mapping class group and surgery. Communications in Mathematical Physics. 160(3). 537–550. 10 indexed citations

19.

Polyak, Michael. (1992). GRAPHICAL APPROACH TO THE 3-MANIFOLD INVARIANTS OF TURAEV-VIRO. Journal of Knot Theory and Its Ramifications. 1(3). 219–240. 1 indexed citations

20.

Polyak, Michael. (1987). On one-dimensional Hamiltonian systems of hydrodynamic type with explicit dependence on the spatial variable. Russian Mathematical Surveys. 42(3). 229–230. 1 indexed citations

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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