Kamal Aziziheris | Algebra | Best Researcher Award

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Prof. Kamal Aziziheris | Algebra | Best Researcher Award

Professor at University of Tabriz, Iran

Prof. Kamal Aziziheris, Professor of Mathematics at the University of Tabriz, is a leading expert in Group Representation Theory, specializing in the Character Theory of Finite Groups. He earned his Ph.D. from Kent State University, USA, and has since contributed extensively to the field through influential research, international collaborations, and high-impact publications in prestigious journals such as Journal of Algebra and Communications in Algebra. His academic journey spans notable research visits to Texas State University and the American University of Beirut, alongside mentoring multiple Ph.D. and M.Sc. students. An active reviewer for top journals and an AMS/zbMath reviewer, he plays a vital role in advancing global mathematical knowledge. Prof. Aziziheris’s scholarly excellence, leadership, and dedication to mathematical research make him a distinguished figure in the academic community.

Professional Profile

Google Scholar | Scopus Profile | ORCID Profile 

Education

Prof. Kamal Aziziheris earned his B.Sc. in Mathematics from the University of Tabriz and M.Sc. in Mathematics from the University of Tehran. He later pursued his Ph.D. in Mathematics at Kent State University, USA, specializing in Group Representation Theory under Prof. Mark L. Lewis. His doctoral research focused on determining group structure from the sets of character degrees, a significant topic in algebra. Following his Ph.D., he undertook a Postdoctoral Fellowship at Texas State University, further refining his expertise. His educational journey, marked by academic excellence and prestigious fellowships, provided a solid foundation for his distinguished research career, combining deep theoretical insight with a commitment to mathematical advancement on both national and international levels.

Experience

With over two decades in academia, Prof. Kamal Aziziheris has held roles from Lecturer to Full Professor at the University of Tabriz. His career also includes Postdoctoral Researcher at Texas State University and Visiting Assistant Professor at the American University of Beirut. He has supervised 4 Ph.D. and 16 M.Sc. students in pure mathematics, taught diverse mathematics courses, and led advanced seminars in finite group theory. His experience extends internationally, with research visits to prestigious institutions and invited talks at major conferences. As a reviewer for leading journals and AMS/zbMath, he actively contributes to the global research community. His professional journey reflects consistent growth, leadership, and impactful contributions to both teaching and mathematical research.

Research Interest

Prof. Kamal Aziziheris’s primary research lies in Group Representation Theory, with a focus on the Character Theory of Finite Groups. His work explores the intricate relationship between group structure and the set of irreducible character degrees, particularly in solvable and nonsolvable groups. He has addressed key problems related to direct products, solvability criteria, and degree graphs, producing results published in high-impact journals such as Journal of Algebra and Communications in Algebra. His research also ventures into quantum algebra structures, reflecting a broad yet deep mathematical vision. With ongoing projects on conjectures like Isaacs–Seitz and Huppert’s, Prof. Aziziheris continues to push theoretical boundaries, while his collaborative approach fosters meaningful exchanges with mathematicians worldwide, enhancing the impact and reach of his scholarly work.

Award and Honor

Prof. Kamal Aziziheris has earned numerous accolades recognizing his research excellence and teaching distinction. During his Ph.D. at Kent State University, he received the Fellowship Award, Graduate Student Senate Dissertation Award, and the Phi Beta Award for academic excellence. He also won the Chairman’s Award for Excellence in Teaching at the University of Tabriz and secured top positions in national mathematics competitions, including First Prize in Algebra Problems at the 23rd Annual Universities Contest. Earlier in his career, he earned the Institute for Studies in Theoretical Physics and Mathematics Fellowship and prizes in the Iranian Mathematical Olympiad. These honors reflect not only his intellectual achievements but also his dedication to high-quality teaching, mentorship, and advancing mathematical knowledge both nationally and internationally.

Research Skill

Prof. Kamal Aziziheris possesses exceptional skills in algebraic problem-solving, abstract reasoning, and advanced mathematical proof construction. His expertise in group theory enables him to analyze and characterize the structural properties of finite groups through irreducible character degrees. He is adept at handling complex computations using Magma, and proficient in LaTeX for professional academic writing. His research skills encompass formulating conjectures, devising proof strategies, and applying theoretical results to broader algebraic frameworks. As a peer reviewer for major journals, he demonstrates sharp analytical judgment and attention to detail. These abilities, coupled with his strong collaborative and mentorship skills, allow him to lead impactful research projects and guide emerging mathematicians toward producing high-quality, publishable work in the global mathematical community.

Publication Top Notes

  • Title: Computerized techniques pave the way for drug-drug interaction prediction and interpretation
    Authors: R Safdari, R Ferdousi, K Aziziheris, SR Niakan-Kalhori, Y Omidi
    Year: 2016
    Citations: 45

  • Title: The quantum group SLq⋆(2) and quantum algebra Uq (sl2⋆) based on a new associative multiplication on 2×2 matrices
    Authors: K Aziziheris, H Fakhri, S Laheghi
    Year: 2020
    Citations: 8

  • Title: Determining group structure from the sets of character degrees
    Authors: K Aziziheris
    Year: 2010
    Citations: 8

  • Title: Simple groups with few irreducible character degrees
    Authors: K Aziziheris, F Shafiei, F Shirjian
    Year: 2021
    Citations: 7

  • Title: Some character degree conditions implying solvability of finite groups
    Authors: K Aziziheris
    Year: 2013
    Citations: 7

  • Title: Taketa’s theorem for some character degree sets
    Authors: K Aziziheris, ML Lewis
    Year: 2013
    Citations: 5

  • Title: A direct product coming from a particular set of character degrees
    Authors: K Aziziheris
    Year: 2011
    Citations: 4

  • Title: Bounding the derived length for a given set of character degrees
    Authors: K Aziziheris
    Year: 2011
    Citations: 4

  • Title: Taketa’s theorem for relative character degrees
    Authors: K Aziziheris
    Year: 2013
    Citations: 3

  • Title: Variations on average character degrees and solvability
    Authors: N Ahanjideh, Z Akhlaghi, K Aziziheris
    Year: 2024
    Citations: 2

  • Title: Some character degree sets implying nonsolvability
    Authors: K Aziziheris
    Year: 2020
    Citations: 2

  • Title: Some nonsolvable character degree sets
    Authors: K Aziziheris
    Year: 2019
    Citations: 2

  • Title: Some solvable character degree sets
    Authors: K Aziziheris, MH Salmani Yengejeh
    Year: 2017
    Citations: 2

  • Title: Finite groups with a given set of character degrees
    Authors: F Shafiei, A Iranmanesh, ML Lewis, K Aziziheris
    Year: 2016
    Citations: 2

  • Title: Variations on average character degrees and solvability
    Authors: N Ahanjideh, Z Akhlaghi, K Aziziheris
    Year: 2022
    Citations: 1

Conclusion

Prof. Kamal Aziziheris embodies the qualities of an outstanding mathematician—intellectual rigor, global collaboration, and academic leadership. His groundbreaking contributions to Group Representation Theory have advanced the understanding of finite group structures, while his prolific publications in leading journals underscore his research impact. Equally dedicated to teaching, he has nurtured the growth of numerous graduate students, leaving a lasting influence on the mathematical community. His active participation in conferences, peer reviewing, and editorial contributions reflects his commitment to strengthening scholarly networks worldwide. With ongoing projects addressing significant conjectures and his readiness to explore interdisciplinary applications, Prof. Aziziheris’s future holds promise for further advancements in mathematics. His career achievements and dedication make him a deserving figure for prestigious recognitions such as the Best Researcher Award.

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.