Guanghui Lu | Mathematics | Best Researcher Award

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Prof. Guanghui Lu | Mathematics | Best Researcher Award

Northwest Normal University | China

Author Profile

Scopus

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Early Academic Pursuits 🎓

Dr. Guanghui Lu embarked on his academic journey with a Bachelor’s degree in Mathematics and Applied Mathematics from Lanzhou City University (2008-2012). He then pursued a Master’s degree in Fundamental Mathematics at Xinjiang University (2012-2015), refining his expertise in mathematical theories. His academic pursuits culminated in a Ph.D. in Applied Mathematics from Northwest Normal University (2015-2018), where he delved into advanced mathematical models and computational techniques.

Professional Endeavors 🏛️

Since joining Northwest Normal University, Dr. Lu has demonstrated unwavering commitment to research and teaching. He began as a lecturer in the School of Mathematics and Statistics (2018-2020) and later became an Associate Professor (2021-present). His role involves mentoring students, conducting groundbreaking research, and contributing to the academic community through extensive collaborations.

Contributions and Research Focus 🔬

Dr. Lu’s research primarily revolves around mathematical analysis, operator theory, and Morrey spaces. He has significantly contributed to the study of integral operators, commutators, and fractional calculus on various mathematical structures. His work has explored bilinear singular integral operators, Calderón-Zygmund operators, and fractional Morrey spaces, which are crucial in modern mathematical analysis and its applications in physics and engineering.

His ongoing research projects include:
📌 National Natural Science Foundation of China (NSFC) – Youth Science Fund Project (2023-2025): Investigating the properties of Littlewood-Paley operators in maximal function spaces (30 million CNY).
📌 NSFC Regional Science Fund Project (2024-2027): Studying core operators on nonhomogeneous metric measure spaces (27 million CNY).

Accolades and Recognition 🏆

Dr. Lu has published numerous influential papers in prestigious mathematical journals, including:
✅ Bulletin des Sciences Mathématiques (2023, 2025)
✅ Mathematische Nachrichten (2024)
✅ Annals of Functional Analysis (2024)
✅ Nagoya Mathematical Journal (2022)

As the sole first author and corresponding author in all his papers, he has cemented his position as a leading researcher in his field.

Impact and Influence 🌍

Dr. Lu’s research has significantly influenced mathematical analysis, particularly in operator theory and function spaces. His findings contribute to solving complex problems in applied mathematics, with implications in physics, data analysis, and computational sciences. His mentorship of students and collaboration with fellow researchers further amplifies his academic impact.

Legacy and Future Contributions 🚀

With ongoing research projects and a steady stream of high-impact publications, Dr. Guanghui Lu is poised to make lasting contributions to mathematical sciences. His future work will likely explore deeper aspects of functional analysis and integral operators, reinforcing the role of mathematics in scientific advancements. Dr. Lu’s dedication to research, teaching, and knowledge dissemination ensures his continued prominence in the field of mathematics.

Publications

📄 Bilinear singular integral operators with generalized kernels and their commutators on product of (grand) generalized fractional (weighted) Morrey spaces
Author(s): G. Lu (Guanghui Lu), M. Wang (Miaomiao Wang), S. Tao (Shuangping Tao), R. Liu (Ronghui Liu)
Journal: Bulletin des Sciences Mathématiques
Year: 2025

📄 Bilinear Θ-type generalized fractional integral and its commutator on product of generalized fractional weighted Morrey spaces
Author(s): G. Lu (Guanghui Lu), Z. Zhang (Zheng Zhang)
Journal: Bulletin des Sciences Mathématiques
Year: 2024

📄 Θ-type fractional Marcinkiewicz integral operators and their commutators on some spaces over RD-spaces
 Author(s): G. Lu (Guanghui Lu), W. Tao (Wenwen Tao)
 Journal: Journal of Pseudo-Differential Operators and Applications
 Year: 2024

📄 Fractional type Marcinkiewicz integral and its commutator on grand variable Herz-Morrey spaces
 Author(s): X. Chen (Xijuan Chen), G. Lu (Guanghui Lu), W. Tao (Wenwen Tao)
 Journal: Journal of Pseudo-Differential Operators and Applications
 Year: 2024

Manyu Xiao | Mathematics | Best Researcher Award

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Assoc Prof Dr. Manyu Xiao | Mathematics | Best Researcher Award

Northwestern Polytechnical University | China

Author Profile

Scopus

Early Academic Pursuits

Dr. Manyu Xiao began her academic journey at Three Gorges University in China, where she earned her Bachelor of Science in Mathematics and Applied Mathematics in 2003. She then pursued a Master of Science in Computational Mathematics at Northwestern Polytechnical University (NPU), China, from 2003 to 2006. Her master’s research focused on fast and parallel algorithms for information processing under the guidance of Quanyi Lu. Subsequently, Dr. Xiao completed her Doctorate in Engineering Science from Université de Technologie de Compiègne (UTC) in France in 2010, where she specialized in multidisciplinary optimization with model reduction and parallel computing. Her doctoral advisors were Piotr Breitkopf and Rajan Filomeno Colho.

Professional Endeavors

Dr. Xiao has a rich professional background, marked by significant positions and research projects. Since March 2012, she has been an associate professor in the Department of Applied Mathematics at NPU. Prior to this, she was a post-doctoral fellow at UTC, France, from 2010 to 2011, where she worked on constrained POD model reductions. Her career includes various visiting scholar positions, such as at Université Libre de Bruxelles, Belgium, the University of Alabama in Huntsville, USA, Queen Mary University of London, University of Oxford, University of Cambridge, and University of Helsinki, Finland.

Contributions and Research Focus

Dr. Xiao’s research interests are diverse and impactful, focusing on efficient numerical methods, model reduction, parallel computing, mechanical optimization, and surrogate-based topology optimization. She has led and participated in numerous research projects, including those funded by the National Natural Science Foundation of China and the Natural Science Foundation of Shaanxi Province. Her projects cover areas such as dynamic multi-fidelity reduction for topology optimization, large-scale stress-constrained topology optimization, and the design of lightweight functional graded core structures for thermal protection systems.

Accolades and Recognition

Dr. Xiao’s contributions have been widely recognized. She received the Best Paper Award at the 6th Australian Conference on Computational Mechanics in 2023, and the third prize for outstanding academic paper by the Shaanxi province in 2022. In 2020, she was honored as an International Rising Star by the International Association for Computational Mechanics. Additionally, she has been recognized multiple times by Northwestern Polytechnical University for her teaching excellence and her role as a thesis supervisor.

Impact and Influence

Dr. Xiao’s work has significantly influenced the field of applied mathematics and computational mechanics. Her research on large-scale structural topology optimization and model reduction has advanced the capabilities of computational methods in engineering. Her numerous publications in high-impact journals and contributions to books underscore her influence. Furthermore, her teaching reforms and MOOC projects at NPU have enhanced the internationalization and quality of mathematics education.

Legacy and Future Contributions

Dr. Xiao’s legacy lies in her pioneering research and dedication to education. Her work continues to inspire advancements in computational mathematics and engineering optimization. Future contributions are anticipated from her ongoing and upcoming research projects, including those on the construction of kinetic models for composite materials and large-scale structural design optimization. Her commitment to developing internationalized training modes for mathematical talents ensures that her influence will extend to future generations of scholars and engineers.

 

Notable Publications

📄 Article: Primal–dual on-the-fly reduced-order modeling for large-scale transient dynamic topology optimization

  • Authors: Xiao, M., Ma, J., Gao, X., Cauvin, L., Villon, P.
  • Journal: Computer Methods in Applied Mechanics and Engineering
  • Year: 2024
  • Citations: 0

📄 Article: Towards a data-driven paradigm for characterizing plastic anisotropy using principal components analysis and manifold learning

  • Authors: Jin, J., Cauvin, L., Raghavan, B., Dutta, S., Xiao, M.
  • Journal: Computational Materials Science
  • Year: 2024
  • Citations: 0

📄 Article: Stress-constrained topology optimization using approximate reanalysis with on-the-fly reduced order modeling

  • Authors: Xiao, M., Ma, J., Lu, D., Raghavan, B., Zhang, W.
  • Journal: Advanced Modeling and Simulation in Engineering Sciences
  • Year: 2022
  • Citations: 1

📄 Article: A Gaussian process regression-based surrogate model of the varying workpiece dynamics for chatter prediction in milling of thin-walled structures

  • Authors: Yang, Y., Yang, Y., Xiao, M., Wan, M., Zhang, W.
  • Journal: International Journal of Mechanical System Dynamics
  • Year: 2022
  • Citations: 7

📄 Article: Accelerating Large-scale Topology Optimization: State-of-the-Art and Challenges

  • Authors: Mukherjee, S., Lu, D., Raghavan, B., Xiao, M., Zhang, W.
  • Journal: Archives of Computational Methods in Engineering
  • Year: 2021
  • Citations: 54

Pooja Rani | Mathematics | Best Researcher Award

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Dr. Pooja Rani | Mathematics | Best Researcher Award

GMSSSS, Ratia | India

Author profile

Scopus

Early Academic Pursuits

Dr. Pooja Rani's academic journey began with a strong foundation in mathematics, culminating in a Ph.D. in Mathematics with a focus on "Mathematical Modeling of an Elastic and Thermoelastic Medium Due to Various Seismic Sources". Her educational qualifications include an M.Sc. in Mathematics, a B.Ed., and qualification for the NET JRF examination. Notably, she was awarded the Roll of Honor for achieving a high position in her graduation.

Professional Endeavors

With five years of teaching experience, Dr. Pooja Rani has established herself as a dedicated educator and researcher. Her professional endeavors have led her to delve into the intricate dynamics of thermoelastic materials, focusing on various theories of thermoelasticity.

Contributions and Research Focus

Dr. Pooja Rani's research revolves around the elastic and thermoelastic properties of materials, aiming to analyze dynamic problems within this domain. Her work encompasses the study of thermoelastic behavior in diverse geometries such as cylinders, disks, spheres, circular plates, and circular tubes. Through her research, she seeks to contribute to a deeper understanding of thermoelastic phenomena and their practical implications.

Accolades and Recognition

Dr. Pooja Rani's dedication and contributions to the field of mathematics have earned her recognition, including the prestigious Roll of Honor for her outstanding performance during her graduation. Additionally, her qualification for the NET JRF examination highlights her academic prowess and potential in research.

Impact and Influence

The research conducted by Dr. Pooja Rani holds significant potential for impact in both academic and practical spheres. By delving into the complex dynamics of thermoelastic materials, her work contributes to advancements in understanding material behavior under various conditions. This understanding has implications for fields such as structural engineering, seismology, and materials science.

Legacy and Future Contributions

Dr. Pooja Rani's legacy is marked by her dedication to advancing the understanding of thermoelasticity through mathematical modeling. Her research not only sheds light on fundamental principles but also lays the groundwork for practical applications in engineering and geophysics. As she continues her academic journey, her innovative contributions are poised to shape the future of research in thermoelastic materials, leaving a lasting impact on the scientific community.

Notable Publications

Thermoelastic stress analysis of a functionally graded annular rotating disc with radially varying properties 2024

Wave analysis in porous thermoelastic plate with microtemperature 2023

One Dimensional Steady Thermal Stresses in a Rotating Thick-walled Sphere made of Functionally Graded Material 2022