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.

 

Xuefeng Mao | Algebra | Best Researcher Award

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Prof. Xuefeng Mao | Algebra | Best Researcher Award

Professor at Shanghai University, China

Professor Xuefeng Mao is a distinguished mathematician specializing in homological algebra, DG categories, algebraic geometry, and rational homotopy theory. He currently serves as a Professor at Shanghai University and has held various academic positions, including Associate Professor and Senior Lecturer. His extensive academic background includes a Ph.D. from Fudan University and postdoctoral research at Fudan and the University of Washington. Professor Mao has made significant contributions to the study of DG algebras, homological invariants, and representation theory, with numerous publications in renowned mathematical journals. He has been awarded substantial funding from the National Natural Science Foundation of China for his projects focused on the properties, constructions, and applications of homologically smooth DG algebras. In addition to his research, Professor Mao has mentored several graduate students, contributing to the development of future scholars in the field. His work continues to shape the landscape of modern algebra and geometry.

Professional Profile 

Scopus Profile

Education

Professor Xuefeng Mao earned his Ph.D. in Mathematics from Fudan University in 2008, where he focused his dissertation on homological invariants for connected cochain DG algebras. His foundation in mathematics was built at Zhejiang Normal University, where he obtained his Bachelor’s degree in 2002. During his academic journey, Professor Mao acquired a deep understanding of algebraic structures and their applications. His education laid the groundwork for a successful career in academia and research, providing him with the expertise to tackle complex problems in homological algebra, representation theory, and rational homotopy theory. His Ph.D. work at Fudan University, particularly in the area of homologically smooth DG algebras, was instrumental in pushing the boundaries of knowledge in the field. Over the years, Professor Mao has cultivated a passion for academic exploration and research, inspiring many students in the process.

Professional Experience

Professor Xuefeng Mao is a distinguished faculty member at Shanghai University, where he has been serving as a Professor in the Department of Mathematics & School of Science since 2020. Prior to this, he held the position of Associate Professor at the same institution from 2015 to 2020, and Senior Lecturer from 2010 to 2015. His academic journey also includes postdoctoral fellowships at renowned institutions. From 2013 to 2014, Professor Mao was a Visiting Scholar at the University of Washington in Seattle, USA. Before that, he completed his postdoctoral research at Fudan University from 2008 to 2010. His vast professional experience, coupled with his commitment to advancing mathematical research and teaching, has made him a respected figure in the mathematical community. Through various roles, Professor Mao has contributed to both the academic environment at Shanghai University and the wider global research community.

Research Interests

Professor Xuefeng Mao’s research interests are centered on homological algebras, DG categories, algebraic geometry, representation theory of algebras, rational homotopy theory, and probability and statistics. His work focuses on understanding the properties, constructions, classifications, and homological invariants of homologically smooth DG algebras, which are a class of algebraic structures with a strong influence on algebraic geometry and representation theory. Professor Mao has significantly contributed to the study of DG algebras and their applications, such as their role in noncommutative algebraic geometry and rational homotopy theory. Additionally, his interest in probability and statistics has allowed him to explore the connection between algebraic structures and probabilistic models. His research has led to several important papers published in top mathematical journals, and his work continues to be influential in the study of algebraic and geometric structures, contributing to the growth of both theoretical and applied mathematics.

Awards and Honors

Professor Xuefeng Mao has received numerous accolades for his outstanding contributions to mathematics, particularly in the areas of homological algebra and algebraic geometry. He has been awarded funding by the National Natural Science Foundation of China for multiple research projects, showcasing the recognition of his work by the academic community. His research projects, such as “The research on the properties, constructions, classifications, and homological invariants of homologically smooth DG algebras,” have garnered support due to their significant impact on advancing mathematical knowledge. These prestigious awards highlight his ability to secure competitive funding and produce groundbreaking work. Additionally, Professor Mao’s research projects have been well-received internationally, further solidifying his reputation as a leading scholar in his field. His accomplishments reflect both his expertise in advanced mathematics and his dedication to enhancing the understanding of complex algebraic structures.

Conclusion

Professor Xuefeng Mao is a leading scholar in the field of mathematics, particularly in the areas of homological algebras, DG categories, algebraic geometry, and representation theory. His extensive educational background, coupled with years of professional experience at Shanghai University, has enabled him to make substantial contributions to the understanding of mathematical structures. Through his research, he has significantly advanced the study of DG algebras, rational homotopy theory, and their applications in algebraic geometry. In addition to his impressive research achievements, Professor Mao has been instrumental in mentoring MSc students, contributing to the development of future scholars in the field. His ability to secure competitive research funding, his global collaborations, and his publications in prestigious journals further solidify his stature as an exceptional researcher. Professor Mao’s work continues to inspire and impact the field of mathematics, making him a valuable asset to the academic and research communities.

Publications Top Noted