Antonio Giambruno

3.6k total citations · 1 hit paper
124 papers, 2.2k citations indexed

About

Antonio Giambruno is a scholar working on Algebra and Number Theory, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Antonio Giambruno has authored 124 papers receiving a total of 2.2k indexed citations (citations by other indexed papers that have themselves been cited), including 116 papers in Algebra and Number Theory, 102 papers in Geometry and Topology and 41 papers in Computational Theory and Mathematics. Recurrent topics in Antonio Giambruno's work include Advanced Topics in Algebra (113 papers), Algebraic structures and combinatorial models (95 papers) and Matrix Theory and Algorithms (37 papers). Antonio Giambruno is often cited by papers focused on Advanced Topics in Algebra (113 papers), Algebraic structures and combinatorial models (95 papers) and Matrix Theory and Algorithms (37 papers). Antonio Giambruno collaborates with scholars based in Italy, Russia and Brazil. Antonio Giambruno's co-authors include Mikhail Zaicev, Daniela La Mattina, С. П. Мищенко, A. Valenti, Sudarshan K. Sehgal, Amitai Regev, Eli Aljadeff, César Polcino Milies, Vesselin Drensky and Yuri Bahturin and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Pacific Journal of Mathematics.

In The Last Decade

Antonio Giambruno

116 papers receiving 2.1k citations

Hit Papers

Polynomial Identities and Asymptotic Methods 2005 2026 2012 2019 2005 50 100 150 200 250
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Polynomial Identities and Asymptotic Methods
    2005 256 citations Antonio Giambruno, Mikhail Zaicev Mathematical surveys and monographs profile →

Peers

Antonio Giambruno
I. P. Shestakov Brazil
Mikhail Zaicev Russia
Wallace S. Martindale United States
Louis Rowen Israel
Efim Zelmanov United States
Andrej Dujella Croatia
Edward Formanek United States
Wolfgang Rump Germany
Mohan S. Putcha United States
Lance W. Small United States
I. P. Shestakov Brazil
Antonio Giambruno
Citations per year, relative to Antonio Giambruno Antonio Giambruno (= 1×) peers I. P. Shestakov

Countries citing papers authored by Antonio Giambruno

Since Specialization
Citations

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

Fields of papers citing papers by Antonio Giambruno

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Antonio Giambruno

This figure shows the co-authorship network connecting the top 25 collaborators of Antonio Giambruno. A scholar is included among the top collaborators of Antonio Giambruno 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 Antonio Giambruno. Antonio Giambruno 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.
Giambruno, Antonio, Daniela La Mattina, & César Polcino Milies. (2021). Understanding star-fundamental algebras. Proceedings of the American Mathematical Society. 149(8). 3221–3233. 3 indexed citations
2.
Giambruno, Antonio, Daniela La Mattina, & César Polcino Milies. (2020). Star-fundamental algebras: polynomial identities and asymptotics. Transactions of the American Mathematical Society. 373(11). 7869–7899. 5 indexed citations
3.
Aljadeff, Eli, Antonio Giambruno, Claudio Procesi, & Amitai Regev. (2020). Rings with Polynomial Identities and Finite Dimensional Representations of Algebras. 16 indexed citations
4.
Giambruno, Antonio & Mikhail Zaicev. (2017). Sturmian words and overexponential codimension growth. Advances in Applied Mathematics. 95. 53–64.
5.
Giambruno, Antonio, et al.. (2016). Standard polynomials and matrices with superinvolutions. Linear Algebra and its Applications. 504. 272–291. 10 indexed citations
6.
Giambruno, Antonio, С. П. Мищенко, A. Valenti, & Mikhail Zaicev. (2016). Polynomial codimension growth and the Specht problem. Journal of Algebra. 469. 421–436. 3 indexed citations
7.
Giambruno, Antonio, César Polcino Milies, & Sudarshan K. Sehgal. (2012). Group algebras and Lie nilpotence. Journal of Algebra. 373. 276–283.
8.
Giambruno, Antonio & Amitai Regev. (2011). Standard polynomials are characterized by their degree and exponent. Journal of Algebra. 335(1). 74–82. 1 indexed citations
9.
Giambruno, Antonio & Mikhail Zaicev. (2009). Codimension growth of special simple Jordan algebras. Transactions of the American Mathematical Society. 362(6). 3107–3123. 18 indexed citations
10.
Giambruno, Antonio & Mikhail Zaicev. (2007). Multialternating Jordan polynomials and codimension growth of matrix algebras. Linear Algebra and its Applications. 422(2-3). 372–379. 6 indexed citations
11.
Giambruno, Antonio & Mikhail Zaicev. (2005). Polynomial Identities and Asymptotic Methods. Mathematical surveys and monographs. 256 indexed citations breakdown →
12.
Giambruno, Antonio, et al.. (2005). Polynomial identities on superalgebras: Classifying linear growth. Journal of Pure and Applied Algebra. 207(1). 215–240. 14 indexed citations
13.
Giambruno, Antonio & Daniela La Mattina. (2004). PI-algebras with slow codimension growth. Journal of Algebra. 284(1). 371–391. 23 indexed citations
14.
Giambruno, Antonio & Mikhail Zaicev. (2000). A CHARACTERIZATION OF VARIETIES OF ASSOCIATIVE ALGEBRAS OF EXPONENT TWO. Bulgarian Digital Mathematics Library (BulDML) at IMI-BAS (Institute of Mathematics and Informatics). 26(3). 245–252. 11 indexed citations
15.
Giambruno, Antonio & Mikhail Zaicev. (1999). Exponential Codimension Growth of PI Algebras: An Exact Estimate. Advances in Mathematics. 142(2). 221–243. 172 indexed citations
16.
Giambruno, Antonio & Mikhail Zaicev. (1999). Involution Codimensions of Finite Dimensional Algebras and Exponential Growth. Journal of Algebra. 222(2). 471–484. 23 indexed citations
17.
Giambruno, Antonio, et al.. (1998). Methods in ring theory : proceedings of the Trento conference. M. Dekker eBooks. 1 indexed citations
18.
Giambruno, Antonio & Sudarshan K. Sehgal. (1989). A Lie property in group rings. Proceedings of the American Mathematical Society. 105(2). 287–292. 5 indexed citations
19.
Bergen, Jeffrey & Antonio Giambruno. (1987). $f$ -radical extensions of rings. Rendiconti del Seminario Matematico della Università di Padova. 77. 125–133.
20.
Giambruno, Antonio & Amitai Regev. (1985). Wreath products and P.I. algebras. Journal of Pure and Applied Algebra. 35. 133–149. 76 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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