Jacob Mostovoy

472 total citations
23 papers, 192 citations indexed

About

Jacob Mostovoy is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Jacob Mostovoy has authored 23 papers receiving a total of 192 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Geometry and Topology, 15 papers in Mathematical Physics and 12 papers in Algebra and Number Theory. Recurrent topics in Jacob Mostovoy's work include Advanced Topics in Algebra (11 papers), Homotopy and Cohomology in Algebraic Topology (11 papers) and Algebraic structures and combinatorial models (7 papers). Jacob Mostovoy is often cited by papers focused on Advanced Topics in Algebra (11 papers), Homotopy and Cohomology in Algebraic Topology (11 papers) and Algebraic structures and combinatorial models (7 papers). Jacob Mostovoy collaborates with scholars based in Mexico, Spain and Brazil. Jacob Mostovoy's co-authors include Sergei Chmutov, S. Duzhin, José M. Pérez-Izquierdo, I. P. Shestakov, Theodore Stanford and James Conant and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Bulletin of the London Mathematical Society.

In The Last Decade

Jacob Mostovoy

22 papers receiving 184 citations

Peers

Jacob Mostovoy
Aaron Pixton United States
Ramin Takloo-Bighash United States
Noah Snyder United States
Вик. С. Куликов Russia
Patrick Brosnan United States
José M. Pérez-Izquierdo Spain
Dirk Siersma Netherlands
Michael Cuntz Germany
Enrique Artal Bartolo Spain
Laurent Lafforgue France
Aaron Pixton United States
Jacob Mostovoy
Citations per year, relative to Jacob Mostovoy Jacob Mostovoy (= 1×) peers Aaron Pixton

Countries citing papers authored by Jacob Mostovoy

Since Specialization
Citations

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

Fields of papers citing papers by Jacob Mostovoy

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Jacob Mostovoy

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

All Works

20 of 20 papers shown
1.
Mostovoy, Jacob, José M. Pérez-Izquierdo, & I. P. Shestakov. (2017). A non-associative Baker-Campbell-Hausdorff formula. Proceedings of the American Mathematical Society. 145(12). 5109–5122. 5 indexed citations
2.
Mostovoy, Jacob, et al.. (2014). Espacios de morfismos de un espacio proyectivo a una variedad tórica. Greater South Information System. 3 indexed citations
3.
Mostovoy, Jacob, José M. Pérez-Izquierdo, & I. P. Shestakov. (2014). Hopf algebras in non-associative Lie theory. Bulletin of Mathematical Sciences. 4(1). 129–173. 14 indexed citations
4.
Mostovoy, Jacob, et al.. (2014). Spaces of Morphisms From a Projective Space to a Toric Variety. 48(1). 41–53. 6 indexed citations
5.
Mostovoy, Jacob, José M. Pérez-Izquierdo, & I. P. Shestakov. (2014). Nilpotent Sabinin algebras. Journal of Algebra. 419. 95–123. 4 indexed citations
6.
Mostovoy, Jacob. (2013). A Comment on the Integration of Leibniz Algebras. Communications in Algebra. 41(1). 185–194. 8 indexed citations
7.
Chmutov, Sergei, S. Duzhin, & Jacob Mostovoy. (2012). Introduction to Vassiliev Knot Invariants. Cambridge University Press eBooks. 65 indexed citations
8.
Conant, James, et al.. (2010). FINITE-TYPE KNOT INVARIANTS BASED ON THE BAND-PASS AND DOUBLED-DELTA MOVES. Journal of Knot Theory and Its Ramifications. 19(3). 355–384. 1 indexed citations
9.
Mostovoy, Jacob & José M. Pérez-Izquierdo. (2009). Ideals in non-associative universal enveloping algebras of Lie triple systems. Forum Mathematicum. 22(1). 1–20. 6 indexed citations
10.
Mostovoy, Jacob & José M. Pérez-Izquierdo. (2007). Dimension filtration on loops. Israel Journal of Mathematics. 158(1). 105–118. 5 indexed citations
11.
Duzhin, S. & Jacob Mostovoy. (2006). A Toy Theory of Vassiliev Invariants. Moscow Mathematical Journal. 6(1). 85–93.
12.
Mostovoy, Jacob. (2005). Spaces of rational maps and the Stone–Weierstrass theorem. Topology. 45(2). 281–293. 15 indexed citations
13.
Mostovoy, Jacob. (2004). Lattices in ℂ and Finite Subsets of a Circle. American Mathematical Monthly. 111(4). 357–360. 5 indexed citations
14.
Mostovoy, Jacob. (2004). Lattices in [Double-Struck Capital C] and Finite Subsets of a Circle. American Mathematical Monthly. 111(4). 357–357. 5 indexed citations
15.
Mostovoy, Jacob & Theodore Stanford. (2003). ON A MAP FROM PURE BRAIDS TO KNOTS. Journal of Knot Theory and Its Ramifications. 12(3). 417–425. 5 indexed citations
16.
Mostovoy, Jacob. (2002). Short ropes and long knots. Topology. 41(3). 435–450. 3 indexed citations
17.
Mostovoy, Jacob, et al.. (2002). Free groups and finite-type invariants of pure braids. Mathematical Proceedings of the Cambridge Philosophical Society. 132(1). 117–130. 6 indexed citations
18.
Mostovoy, Jacob. (2001). Spaces of rational loops on a real projective space. Transactions of the American Mathematical Society. 353(5). 1959–1970. 9 indexed citations
19.
Mostovoy, Jacob. (2000). Algebraic cycles and antholomorphic involutions on projective spaces. Boletín de la Sociedad Matemática Mexicana. 6(2). 151–170. 1 indexed citations
20.
Mostovoy, Jacob. (1998). Geometry of Truncated Symmetric Products and Real Roots of Real Polynomials. Bulletin of the London Mathematical Society. 30(2). 159–165. 5 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

Breakdown of academic impact, for papers by Aaron Pixton Breakdown of academic impact, for papers by Ramin Takloo-Bighash Breakdown of academic impact, for papers by Noah Snyder Breakdown of academic impact, for papers by Вик. С. Куликов Breakdown of academic impact, for papers by Patrick Brosnan Breakdown of academic impact, for papers by José M. Pérez-Izquierdo Breakdown of academic impact, for papers by Dirk Siersma Breakdown of academic impact, for papers by Michael Cuntz Breakdown of academic impact, for papers by Enrique Artal Bartolo Breakdown of academic impact, for papers by Laurent Lafforgue
Rankless by CCL
2026