Claudemir Fideles Bezerra Junior | Algebra | Innovative Research Award

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Innovative Research Award

Claudemir Fideles Bezerra Junior
UNICAMP, Brazil

Claudemir Fideles Bezerra Junior
Affiliation UNICAMP
Country Brazil
Scopus ID 57196086077
Documents 24
Citations 49
h-index 4
Subject Area Algebra
Event Math Scientist Awards
ORCID 0000-0001-5107-5342

The Innovative Research Award recognition highlights the scholarly contributions of Claudemir Fideles Bezerra Junior, a researcher affiliated with UNICAMP whose work is situated primarily within Algebra and related areas of graded algebraic structures. His publication record includes investigations of graded identities, Lie algebras, Grassmann algebras, Jordan algebras, and Leibniz algebras, demonstrating a sustained engagement with contemporary problems in abstract algebra and polynomial identity theory.[1] The body of research reflects both theoretical rigor and methodological consistency, contributing to the broader mathematical understanding of algebraic gradings and structural identities.[2]

Abstract

This article summarizes the academic profile and research achievements of Claudemir Fideles Bezerra Junior in the field of Algebra. His work focuses on graded structures, polynomial identities, central polynomials, and algebraic systems over finite and infinite fields. Through publications in recognized international journals, he has contributed to the advancement of theoretical algebra while supporting the mathematical framework necessary for ongoing investigations in algebraic structures and their applications.[3]

Keywords

Algebra, Graded Identities, Grassmann Algebra, Jordan Algebra, Lie Algebra, Leibniz Algebra, Polynomial Identities, Mathematical Research, Abstract Algebra, Finite Fields.

Introduction

Modern algebra continues to explore the structural properties of mathematical systems through identities, gradings, and symmetries. Within this context, Claudemir Fideles Bezerra Junior has developed a research portfolio centered on graded algebras and related theoretical frameworks. His studies address foundational questions regarding algebraic identities and their behavior under different grading schemes, contributing to an area of mathematics that remains active and internationally relevant.[2]

Research Profile

According to available scholarly indexing records, the researcher has produced multiple peer-reviewed publications and accumulated measurable scholarly citations. His research activity is concentrated in algebraic theory, particularly the study of graded identities and algebraic classifications. The publication trajectory demonstrates continued engagement with recognized mathematical journals and specialized research communities.[1]

Research Contributions

  • Investigation of graded identities in Jordan algebras over finite fields.
  • Research on gradings and graded identities of null-filiform Leibniz algebras.
  • Analysis of ℤ-gradings on Grassmann algebras and associated central polynomials.
  • Studies concerning graded identities in Lie algebras and related algebraic structures.
  • Contributions linking algebraic gradings with concepts from elementary number theory.

Publications

  • Graded identities for the Jordan algebra of the symmetric matrices of order two over finite fields (2026).
  • Gradings and graded identities of null-filiform Leibniz algebras (2026).
  • ℤ-gradings on the Grassmann algebra over infinite fields: Graded identities and central polynomials (2023).
  • Z-graded identities of the Lie algebras U1 (2023).
  • A note on gradings on the Grassmann algebra and elementary number theory (2023).

Research Impact

The available bibliometric indicators report 24 indexed documents, 49 citations, and an h-index of 4. These metrics suggest active participation in the scholarly discourse surrounding algebraic research. Beyond numerical indicators, the significance of the work lies in its contribution to the mathematical understanding of graded structures, identities, and algebraic classifications that form important foundations for theoretical investigations.[1]

Award Suitability

The Innovative Research Award recognizes meaningful scholarly advancement and sustained research engagement. Claudemir Fideles Bezerra Junior’s publication record, concentration on advanced algebraic theory, and contributions to graded identities and related mathematical structures align with the objectives of recognizing innovative academic inquiry. His work demonstrates originality within a specialized research domain while maintaining relevance to ongoing developments in abstract algebra.[4]

Conclusion

Claudemir Fideles Bezerra Junior has established a focused research profile within Algebra through studies of graded identities, Grassmann algebras, Jordan algebras, and related mathematical structures. His publications contribute to theoretical understanding within the discipline and reflect a consistent commitment to scholarly research. The academic record presented here provides a basis for recognition within the framework of the Math Scientist Awards.[5]

References

  1. Elsevier. (n.d.). Scopus author details: Claudemir Fideles Bezerra Junior, Author ID 57196086077. Scopus.
    https://www.scopus.com/authid/detail.uri?authorId=57196086077
  2. Journal of Algebra. (2023). Z-graded identities of the Lie algebras U1.
    https://doi.org/10.1016/j.jalgebra.2023.06.042
  3. International Journal of Algebra and Computation. (2023). ℤ-gradings on the Grassmann algebra over infinite fields: Graded identities and central polynomials.
    https://doi.org/10.1142/S0218196723500650
  4. Linear Algebra and its Applications. (2026). Gradings and graded identities of null-filiform Leibniz algebras.
    https://doi.org/10.1016/j.laa.2025.11.003
  5. Finite Fields and Their Applications. (2026). Graded identities for the Jordan algebra of the symmetric matrices of order two over finite fields.
    https://doi.org/10.1016/j.ffa.2026.102826
  6. Linear and Multilinear Algebra. (2023). A note on gradings on the Grassmann algebra and elementary number theory.
    https://doi.org/10.1080/03081087.2022.2059433

Rushu Zhuang | Algebra | Women Researcher Award

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Prof. Rushu Zhuang | Algebra | Women Researcher Award

Lecturer at China University of Geosciences, Wuhan, China

Dr. Zhuang Rushu is a dedicated researcher specializing in Lie algebras and quantum groups, currently pursuing her Ph.D. in Pure Mathematics at East China Normal University. She has made significant contributions to algebraic structures, particularly in admissible quantum affine algebras and their PBW basis, with multiple publications in reputable journals such as Communications in Algebra and Journal of Geometry and Physics. Her research is recognized in the Chinese Mathematical Society Classification (T2, T3) and CAS Ranking (Zone 3). She has also gained teaching experience at Fudan High School Pudong Campus, mentoring students in mathematics. An early participant in research, she contributed to an undergraduate innovation project that led to a published study on ω-Lie algebras. While her work is highly theoretical, expanding her international collaborations and outreach for women in STEM would enhance her impact. With her strong academic foundation and research achievements, she is a promising candidate for a Women Researcher Award.

Professional Profile 

Scopus Profile

Education

Dr. Zhuang Rushu has pursued an extensive academic journey in pure mathematics, specializing in Lie algebras and quantum groups. She is currently a Ph.D. candidate at East China Normal University, where she is engaged in advanced research in algebraic structures. Prior to her doctoral studies, she completed her M.S. in Pure Mathematics from the same institution (2017–2020), gaining expertise in areas such as Hecke algebras, Hopf algebras, and representation theory. Her undergraduate studies in Mathematics and Applied Mathematics were completed at Northeast Normal University (2013–2017), where she actively participated in research projects, laying the foundation for her specialization in algebra. Her academic training has equipped her with strong theoretical and analytical skills, enabling her to make substantial contributions to the field. Throughout her education, she has developed a solid background in homological algebra, finite group representations, and quantum affine algebras, positioning her as a promising researcher in mathematics.

Professional Experience

Dr. Zhuang Rushu has demonstrated a strong commitment to both research and teaching. During her doctoral studies, she has been actively involved in mathematical research, publishing papers in well-regarded journals and collaborating with leading mathematicians. In addition to her research contributions, she gained practical teaching experience as a teacher at Fudan High School Pudong Campus (2019), where she conducted after-class exercises and provided tutoring. This experience reflects her ability to communicate complex mathematical concepts effectively, an essential skill for both academia and mentorship. Furthermore, she participated in an undergraduate innovation and entrepreneurship project, where she contributed to the classification of ω-Lie algebras under the guidance of Professor Chen Yin. Her professional experience highlights her dual expertise in both theoretical research and student engagement, making her well-equipped for future academic roles. By combining research with mentorship, she continues to contribute to the development of mathematical sciences and education.

Research Interest

Dr. Zhuang Rushu’s research primarily focuses on Lie algebras and quantum groups, which play a fundamental role in modern algebra, representation theory, and mathematical physics. Her work includes studying admissible quantum affine algebras, their PBW basis, and RLL-realizations of two-parameter quantum affine algebras in different types. She is particularly interested in exploring the structural properties and classification of algebraic systems, including Hopf algebras, Hecke algebras, and finite group representation theory. Her research also intersects with areas such as homological algebra and derived categories, providing deep insights into algebraic frameworks. She has published extensively on these topics in journals like Communications in Algebra and Journal of Geometry and Physics. While her research is largely theoretical, it has potential applications in mathematical physics, coding theory, and cryptography. Moving forward, expanding her work into interdisciplinary areas could further enhance the impact of her findings in applied mathematics.

Awards and Honors

Dr. Zhuang Rushu has earned recognition for her academic and research excellence. She has published multiple papers in well-established mathematical journals, with her work classified in high-ranking categories by the Chinese Mathematical Society and CAS. Her research on ω-Lie algebras, completed as part of an undergraduate innovation project, was recognized with publication in Communications in Algebra, highlighting her early contributions to mathematical research. Additionally, her collaborative work on quantum affine algebras and their applications has been acknowledged within the algebra research community. Although she has not listed specific individual awards, her selection for significant research collaborations and publications in internationally recognized mathematical journals indicates her growing influence in the field. To further enhance her academic profile, seeking research grants, fellowships, and international mathematics awards could provide greater visibility and recognition for her contributions to pure mathematics.

Conclusion

Dr. Zhuang Rushu is an emerging researcher in the field of Lie algebras and quantum groups, demonstrating remarkable potential through her rigorous academic training and research contributions. Her strong foundation in algebraic structures, combined with publications in reputable journals, positions her as a promising mathematician. Her work in admissible quantum affine algebras and two-parameter quantum affine algebras has advanced the theoretical understanding of algebraic systems. While she has already made significant contributions, expanding her international collaborations, independent research leadership, and outreach for women in STEM would further strengthen her academic impact. Her teaching experience at Fudan High School Pudong Campus reflects her ability to mentor young students, contributing to mathematics education. With continued focus on interdisciplinary applications and broader mathematical outreach, Dr. Zhuang is well on her way to establishing herself as a leading researcher in her field, making her a strong candidate for future academic and research awards.

Publications Top Noted

  • Title: “Derivations, Automorphisms, and Representations of Complex ω-Lie Algebras”

    • Authors: Yin Chen, Ziping Zhang, Runxuan Zhang, Rushu Zhuang
    • Year: 2018
    • Citation: Chen, Y., Zhang, Z., Zhang, R., & Zhuang, R. (2018). Derivations, Automorphisms, and Representations of Complex ω-Lie Algebras. Communications in Algebra, 46(2), 708–726.

  • Title: “A Novel Admissible Quantum Affine Algebra of Type A1(1) and Its PBW Basis”

    • Authors: Naihong Hu, Rushu Zhuang
    • Year: 2021
    • Citation: Hu, N., & Zhuang, R. (2021). A Novel Admissible Quantum Affine Algebra of Type A1(1) and Its PBW Basis. In Hopf Algebras, Tensor Categories, and Related Topics (pp. 153–170). American Mathematical Society.

  • Title: “Another Admissible Quantum Affine Algebra of Type A1(1) with Quantum Weyl Group”

    • Authors: Ge Feng, Naihong Hu, Rushu Zhuang
    • Year: 2021
    • Citation: Feng, G., Hu, N., & Zhuang, R. (2021). Another Admissible Quantum Affine Algebra of Type A1(1) with Quantum Weyl Group. Journal of Geometry and Physics, 165, 104218.

  • Title: “RLL-Realization of Two-Parameter Quantum Affine Algebra in Type Dn(1)”

    • Authors: Rushu Zhuang, Naihong Hu, Xiao Xu
    • Year: Forthcoming
    • Citation: Zhuang, R., Hu, N., & Xu, X. (Forthcoming). RLL-Realization of Two-Parameter Quantum Affine Algebra in Type Dn(1). Pacific Journal of Mathematics.

  • Title: “RLL-Realization of Two-Parameter Quantum Affine Algebra in Type Bn(1)”

    • Authors: Naihong Hu, Xiao Xu, Rushu Zhuang
    • Year: Submitted
    • Citation: Hu, N., Xu, X., & Zhuang, R. (Submitted). RLL-Realization of Two-Parameter Quantum Affine Algebra in Type Bn(1).

  • Title: “Admissible Quantum Affine Algebra of Type A1(1), Drinfeld Realization and Vertex Representation”

    • Authors: Naihong Hu, Rushu Zhuang
    • Year: Preprint
    • Citation: Hu, N., & Zhuang, R. (Preprint). Admissible Quantum Affine Algebra of Type A1(1), Drinfeld Realization and Vertex Representation.