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Antonio Giambruno

Antonio Giambruno

D-Index & Metrics

Mathematics

D-Index
33
Citations
3826
World Ranking
3068
National Ranking
105

Overview

Antonio Giambruno is affiliated with the University of Palermo in Italy and has contributed extensively to the fields of Mathematics and Computer Science. Their research primarily focuses on advanced algebraic topics, with a considerable body of work spanning algebraic structures, combinatorial models, and matrix theory.

Their main fields of study include:

  • Mathematics
  • Computer Science

Within these broad areas, Giambruno's work delves into several subfields, such as:

  • Algebra and Number Theory
  • Geometry and Topology
  • Computational Theory and Mathematics
  • Mathematical Physics
  • Applied Mathematics

Their primary topics of research cover:

  • Advanced Topics in Algebra
  • Algebraic structures and combinatorial models
  • Matrix Theory and Algorithms
  • Advanced Algebra and Logic
  • Meromorphic and Entire Functions
  • Advanced Differential Equations and Dynamical Systems
  • Rings, Modules, and Algebras

Several recurrent publication venues illustrate the scholar's consistent research output:

  • Journal of Algebra
  • Israel Journal of Mathematics
  • Proceedings of the American Mathematical Society
  • Transactions of the American Mathematical Society
  • Journal of Pure and Applied Algebra

Recent papers authored by Antonio Giambruno include:

  • Star-fundamental algebras: polynomial identities and asymptotics (2020), published in Transactions of the American Mathematical Society
  • Superalgebras: Polynomial identities and asymptotics (2022), published in Journal of Algebra
  • Trace codimensions of algebras and their exponential growth (2022), published in Israel Journal of Mathematics
  • Understanding star-fundamental algebras (2021), published in Proceedings of the American Mathematical Society
  • Codimensions of star-algebras and low exponential growth (2020), published in Israel Journal of Mathematics

Antonio Giambruno has collaborated frequently with several coauthors, evidencing multidisciplinary and cooperative research efforts. Prominent frequent coauthors are:

  • Eli Aljadeff
  • Claudio Procesi
  • Amitai Regev
  • Daniela La Mattina
  • César Polcino Milies

The scholar has also contributed to book literature. Notably, they authored a book published by the American Mathematical Society titled Rings with Polynomial Identities and Finite Dimensional Representations of Algebras in 2020.

Best Publications

  • Polynomial identities and asymptotic methods

    Antonio Giambruno;Mikhail Zaicev

  • Exponential Codimension Growth of PI Algebras: An Exact Estimate

    A Giambruno;M Zaicev

  • On Codimension Growth of Finitely Generated Associative Algebras

    A. Giambruno;M. Zaicev

  • Derivations with nilpotent values

    A. Giambruno;I. N. Herstein

  • Cocharacters, codimensions and Hilbert series of the polynomial identities for $2 imes 2$ matrices with involution

    Vesselin Drensky;Antonio Giambruno

  • Codimensions of algebras and growth functions

    Antonio Giambruno;S. P. Mishchenko;M.V. Zaicev

  • Minimal varieties of algebras of exponential growth

    Antonio Giambruno;M. Zaicev

  • On the identities of the Grassmann algebras in characteristicp>0

    Antonio Giambruno;Plamen Koshlukov

  • Codimension growth and minimal superalgebras

    A Giambruno;M V Zaicev

  • Group identities on units of rings

    A. Giambruno;E. Jespers;A. Valenti

  • Group algebras whose units satisfy a group identity

    Antonio Giambruno;Sudarshan Sehgal;Angela Valenti

  • Lie nilpotence of group rings

    Antonio Giambruno;Sudarshan K. Sehgal

  • POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH

    A. Giambruno;S. Mishchenko;M. Zaicev

  • Graded polynomial identities and codimensions: computing the exponential growth

    A. Giambruno;D. La Mattina

  • Multialternating graded polynomials and growth of polynomial identities

    Eli Aljadeff;Antonio Giambruno

  • $G$-identities on associative algebras

    Y. Bahturin;A. Giambruno;M. Zaicev

  • Algebras with intermediate growth of the codimensions

    A. Giambruno;S. Mishchenko;M. Zaicev

  • Simple and semisimple Lie algebras and codimension growth

    Antonio Giambruno;Amitai Regev;Michail V. Zaicev

  • Finite-dimensional non-associative algebras and codimension growth

    Antonio Giambruno;Ivan Shestakov;Mikhail Zaicev

  • Group-graded algebras with polynomial identity

    Yuri Bahturin;Antonio Giambruno;David M. Riley

  • Graded polynomial identities and exponential growth

    Eli Aljadeff;Antonio Giambruno;Daniela La Mattina

Frequent Co-Authors

Mikhail Zaicev
Mikhail Zaicev Lomonosov Moscow State University
Claudio Procesi
Claudio Procesi Sapienza University of Rome

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