Manyu Xiao | Mathematics | Best Researcher Award

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

Northwestern Polytechnical University | China

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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

Shamik Das | Mathematics | Best Researcher Award

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Dr. Shamik Das | Mathematics | Best Researcher Award

Ewha Womans University | India 

Author Profile

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Early Academic Pursuits

Dr. Shamik Das embarked on his academic journey with a strong foundation in mathematics. He pursued his Bachelor of Science in Mathematics (Honors) from Ramakrishna Mission Residential College, Narendrapur, India, graduating in 2014. Building on his undergraduate studies, he earned a Master of Science in Mathematics and Computing from the Indian Institute of Technology (IIT), Guwahati, in 2016. His academic excellence continued as he completed his PhD in Mathematics at IIT Guwahati under the supervision of Prof. Anupam Saikia, focusing on "Congruent Number and Related Topics," which he defended in September 2021.

Professional Endeavors

Dr. Das's professional career began with his role as a Postdoctoral Fellow in the Mathematics department at Harish-Chandra Research Institute, Prayagraj, India, from October 2021 to October 2023. During this period, he made significant contributions to the field of algebraic number theory, elliptic curves, and quadratic forms. In November 2023, he joined Ewha Womans University, Seoul, South Korea, as a Postdoctoral Fellow in Mathematics, continuing his research and mentoring students.

Contributions and Research Focus

Dr. Das's research is centered on algebraic number theory, elliptic curves, and quadratic forms, with a particular emphasis on exploring the properties and applications of congruent numbers, class numbers of quadratic fields, and the intricate relationships within number theory. His significant contributions to the field are evident through several key publications in prestigious mathematics journals. These include "A necessary condition for p and 2p to be congruent for a prime p ≡ 1 (mod 8)" published in the Journal of Pure and Applied Algebra in 2023, "On the 2-part of the class number of Q(√±D) for a congruent number D" in Research in Number Theory in 2022, and "Families of even noncongruent numbers with arbitrarily many pairs of prime factors" in the Rocky Mountain Journal of Mathematics in 2022. Through his research endeavors, Dr. Das continues to advance our understanding of complex mathematical concepts and contribute significantly to the broader field of mathematics.

Accolades and Recognition

Dr. Das has garnered significant recognition throughout his career, receiving prestigious fellowships and awards such as the NBHM Postdoc Fellowship (2023), the Ewha Womans University Postdoc Fellowship (2023), and the Harish-Chandra Research Institute Postdoc Fellowship (2021). Additionally, his academic achievements include being awarded the Junior Research Fellowship (AIR-35) by CSIR in 2016, achieving GATE (AIR-132) in Mathematics in the same year, and receiving the NBHM MSc Scholarship in 2014. Furthermore, Dr. Das was honored with the INSPIRE Scholarship for Higher Education (SHE) in 2011. These accolades not only highlight his dedication to advancing mathematical research but also underscore his exceptional academic prowess and commitment to excellence.

Impact and Influence

Dr. Das has significantly impacted the field of mathematics through his extensive research, numerous publications, and presentations at prestigious national and international conferences and workshops. Notable among these are his contributions to events such as the Rational Points on Modular Curves at ICTS, India (Sep 2023), the Iwasawa 2023 conference in memory of John Coates at the University of Cambridge, UK (Jul 2023), the Elliptic Curves workshop at NCMW, IISER Trivandrum (Apr 2023), and the Number Theory Meet at IIT Kanpur (Feb 2023). His influential work has left a lasting impression on both peers and students, enriching the broader mathematical community's understanding of complex number theory problems.

Legacy and Future Contributions

Dr. Das's legacy in the field of mathematics is characterized by his rigorous research, dedication to education, and ongoing contributions to number theory. His future endeavors at Ewha Womans University and beyond will likely continue to push the boundaries of mathematical research, fostering new discoveries and inspiring the next generation of mathematicians.

 

Notable Publications

Required condition for a congruent number: pq with primes p ≡ 1 (mod 8) and q ≡ 3 (mod 8) 2024

A necessary condition for p and 2p to be congruent for a prime p ≡ 1 (mod 8) 2023 (1)

A Heron triangle and a Diophantine equation 2022 (2)

On the 2-part of the class number of Q(ñD) for a congruent number D 2022 (1)

Families of even noncongruent numbers with arbitrarily many pairs of prime factors 2022

 

Pankaj Kumar | Mathematics | Best Researcher Award

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Assist Prof Dr. Pankaj Kumar | Mathematics | Best Researcher Award

National Institute Technology Hamirpur | India

Author Profile

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Early Academic Pursuits

Dr. Pankaj Kumar's academic journey began with a Bachelor of Science in Mathematics Honours from Ranchi University, followed by a M.Tech., in Operations Research from the National Institute of Technology, Durgapur. He pursued his Ph.D. in Optimization Methods in Finance at the prestigious Indian Institute of Technology Kharagpur, specializing in interval optimization methods for portfolio selection problems.

Professional Endeavors

Dr. Kumar has held various research and teaching positions, including Research Assistant Professor at the Department of Mathematics, SRM Institute of Science and Technology, and Visiting Faculty at the Institute of Financial Management and Research. He has also served as a Visiting Research Scholar and held Senior and Junior Research Fellowships at the Indian Institute of Technology Kharagpur.

Contributions and Research Focus

His research interests lie in operations research, optimization methods in finance, interval optimization, machine learning, and crop area planning. Dr. Kumar has contributed significantly to the field through his publications in esteemed journals and conferences, focusing on topics such as multi-objective portfolio selection, mean-value-at-risk portfolio optimization, and stochastic programming techniques.

Accolades and Recognition

Dr. Kumar has received several honors and awards, including travel grants from the Department of Science and Technology (DST) and recognition for his paper presentations. He has been awarded prestigious fellowships for his research work, including visiting, senior, and junior research fellowships at Indian universities.

Impact and Influence

His research has made a notable impact on the field of optimization and finance, providing valuable insights into portfolio selection, risk management, and decision-making processes. Dr. Kumar's work has been recognized through his appointment as an Editorial Board Member of Applied and Computational Mathematics (ACM) and teaching awards for his contributions to mathematics education.

Legacy and Future Contributions

Dr. Kumar's legacy lies in his dedication to advancing knowledge in operations research and finance through rigorous academic inquiry and innovative problem-solving approaches. His future contributions are poised to further enrich the field, addressing emerging challenges and pushing the boundaries of optimization theory and applications.

Notable Publications

Efficient solutions for vector optimization problem on an extended interval vector space and its application to portfolio optimization 2024

Parametric approach for multi-objective enhanced interval linear fractional programming problem 2023

Prediction based mean-value-at-risk portfolio optimization using machine learning regression algorithms for multi-national stock markets 2023 (20)

Solving mean-VaR portfolio selection model with interval-typed random parameter using interval analysis 2021 (3)

Multi-objective enhanced interval optimization problem 2020 (7)