Mark Spivakovsky

778 total citations
38 papers, 348 citations indexed

About

Mark Spivakovsky is a scholar working on Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, Mark Spivakovsky has authored 38 papers receiving a total of 348 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Geometry and Topology, 13 papers in Algebra and Number Theory and 12 papers in Computational Theory and Mathematics. Recurrent topics in Mark Spivakovsky's work include Algebraic Geometry and Number Theory (15 papers), Polynomial and algebraic computation (10 papers) and Advanced Differential Equations and Dynamical Systems (7 papers). Mark Spivakovsky is often cited by papers focused on Algebraic Geometry and Number Theory (15 papers), Polynomial and algebraic computation (10 papers) and Advanced Differential Equations and Dynamical Systems (7 papers). Mark Spivakovsky collaborates with scholars based in France, Canada and Mexico. Mark Spivakovsky's co-authors include Shigeru Arimoto, Keith F. Taylor, Paul G. Mezey, Tokio Yamabe, Hiromu Ohno, Bernard Teissier, Rob Zuidwijk, Eiji Yoshida, Massoud Amini and James J. Madden and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and International Journal of Quantum Chemistry.

In The Last Decade

Mark Spivakovsky

31 papers receiving 298 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Mark Spivakovsky France	9	276	151	125	80	35	38	348
Uli Walther United States	13	273 1.0×	258 1.7×	193 1.5×	36 0.5×	14 0.4×	33	414
José Ignacio Burgos Gil Spain	11	226 0.8×	70 0.5×	48 0.4×	200 2.5×	64 1.8×	42	311
Wai-Shun Cheung United States	7	287 1.0×	340 2.3×	127 1.0×	96 1.2×	34 1.0×	16	375
J. Sander Germany	10	150 0.5×	131 0.9×	80 0.6×	53 0.7×	47 1.3×	64	303
Zhang Jian-hua China	12	362 1.3×	439 2.9×	111 0.9×	158 2.0×	38 1.1×	37	460
Pierre Julg France	8	165 0.6×	132 0.9×	16 0.1×	279 3.5×	41 1.2×	12	328
Raymond C. Heitmann United States	13	250 0.9×	333 2.2×	101 0.8×	59 0.7×	30 0.9×	35	456
Ualbai Umirbaev Kazakhstan	13	492 1.8×	379 2.5×	108 0.9×	132 1.6×	31 0.9×	55	579
Chandrashekar Adiga India	8	169 0.6×	166 1.1×	122 1.0×	14 0.2×	53 1.5×	40	348
B. Sury India	10	163 0.6×	167 1.1×	36 0.3×	104 1.3×	33 0.9×	80	363

Countries citing papers authored by Mark Spivakovsky

Since Specialization

Citations

This map shows the geographic impact of Mark Spivakovsky'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 Mark Spivakovsky with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mark Spivakovsky more than expected).

Fields of papers citing papers by Mark Spivakovsky

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mark Spivakovsky. 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 Mark Spivakovsky. The network helps show where Mark Spivakovsky may publish in the future.

Co-authorship network of co-authors of Mark Spivakovsky

This figure shows the co-authorship network connecting the top 25 collaborators of Mark Spivakovsky. A scholar is included among the top collaborators of Mark Spivakovsky 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 Mark Spivakovsky. Mark Spivakovsky is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Spivakovsky, Mark, et al.. (2025). Kähler differentials, pure extensions and minimal key polynomials. Israel Journal of Mathematics.

Spivakovsky, Mark, et al.. (2022). Newton non-degenerate -constant deformations admit simultaneous embedded resolutions. Compositio Mathematica. 158(6). 1268–1297. 1 indexed citations

Spivakovsky, Mark, et al.. (2022). Key polynomials for simple extensions of valued fields. arXiv (Cornell University). 25. 1 indexed citations

Spivakovsky, Mark, et al.. (2020). On the structure of the graded algebra associated to a valuation. Journal of Algebra. 560. 667–679. 2 indexed citations

Spivakovsky, Mark, et al.. (2018). Abstract key polynomials and comparison theorems with the key polynomials of Mac Lane–Vaquié. Illinois Journal of Mathematics. 62(1-4). 5 indexed citations

Spivakovsky, Mark. (2018). Sandwiched Surface Singularities And the Nash Resolution Problem. Advanced studies in pure mathematics. 583–598.

Spivakovsky, Mark, et al.. (2017). Key polynomials and pseudo-convergent sequences. Journal of Algebra. 495. 199–219.

Spivakovsky, Mark, et al.. (2016). Equisingularity in One-Parameter Families of Generically Reduced Curves. International Mathematics Research Notices. rnv377–rnv377. 1 indexed citations

Spivakovsky, Mark, et al.. (2015). On the Pierce–Birkhoff conjecture. Journal of Algebra. 435. 124–158.

10.

Spivakovsky, Mark, et al.. (2014). Generalization of a result of Hickel, Ito and Izumi about a Diophantine inequality. Journal of Pure and Applied Algebra. 219(5). 1711–1719.

11.

Arimoto, Shigeru, Mark Spivakovsky, Eiji Yoshida, Keith F. Taylor, & Paul G. Mezey. (2011). Proof of the Fukui conjecture via resolution of singularities and related methods. V. Journal of Mathematical Chemistry. 49(8). 1700–1712. 3 indexed citations

12.

Arimoto, Shigeru, Mark Spivakovsky, Keith F. Taylor, & Paul G. Mezey. (2010). Proof of the Fukui conjecture via resolution of singularities and related methods. IV. Journal of Mathematical Chemistry. 48(3). 776–790. 4 indexed citations

13.

Spivakovsky, Mark, et al.. (2007). Valuations in algebraic field extensions. Journal of Algebra. 312(2). 1033–1074. 19 indexed citations

14.

Arimoto, Shigeru, Mark Spivakovsky, Keith F. Taylor, & Paul G. Mezey. (2005). Proof of the Fukui conjecture via resolution of singularities and related methods. II $$^{\star}$$. Journal of Mathematical Chemistry. 37(2). 171–189. 8 indexed citations

15.

Spivakovsky, Mark, et al.. (2003). Implicit ideals of a valuation centered in a local domain.. 1 indexed citations

16.

Arimoto, Shigeru, Mark Spivakovsky, Hiromu Ohno, et al.. (2001). Structural analysis of certain linear operators representing chemical network systems via the existence and uniqueness theorems of spectral resolution. VI*. International Journal of Quantum Chemistry. 84(4). 389–400. 15 indexed citations

17.

Spivakovsky, Mark. (1999). A new proof of D. Popescu’s theorem on smoothing of ring homomorphisms. Journal of the American Mathematical Society. 12(2). 381–444. 43 indexed citations

18.

Arimoto, Shigeru, Mark Spivakovsky, & Keith F. Taylor. (1995). Notes on the Asymptotic Linearity Theorems. Journal of Mathematical Chemistry. 18(2). 169–177. 7 indexed citations

19.

Spivakovsky, Mark. (1994). Non-existence of the Artin function for Henselian pairs. Mathematische Annalen. 299(1). 727–729. 4 indexed citations

20.

Spivakovsky, Mark. (1989). A counterexample to the theorem of Beppo Levi in three dimensions. Inventiones mathematicae. 96(1). 181–183. 4 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.

Explore authors with similar magnitude of impact