Dr Francesco Romor | Numerical analysis | Best Researcher Award |

Dr. Francesco Romor | Numerical analysis | Best Researcher Award

Postdoctoral researcher , at Weierstrass Institute,Germany

Dr. Francesco Romor is a postdoctoral researcher at the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) in Berlin, Germany. He works within the Numerical Mathematics and Scientific Computing research group led by Prof. Volker John. His expertise lies in advanced computational methods, scientific machine learning, and mathematical modeling with applications spanning from fluid dynamics to medical image analysis. Known for combining mathematical rigor with modern machine learning techniques, Dr. Romor is establishing himself as a leading voice in the next generation of scientific computing experts.

profile

Scopus

Education

Dr. Romor earned his Ph.D. in Mathematical Analysis, Modeling, and Applications from the International School for Advanced Studies (SISSA), Trieste, Italy, in 2023. His doctoral research, supervised by Prof. Gianluigi Rozza, focused on “Nonlinear Parameter Space and Model Order Reductions enhanced by Scientific Machine Learning.” He previously obtained a Master’s degree in Mathematics (2019) and a Bachelor’s degree in Mathematics (2017), both with the highest honors (110/110 cum laude) from the University of Trieste. His academic path reflects a strong and consistent foundation in theoretical and applied mathematics.

Experience

Since November 2023, Dr. Romor has been serving as a postdoctoral researcher at WIAS, where he collaborates closely with experts such as Dr. Alfonso Caiazzo. In 2023, he completed a short research visit to the Massachusetts Institute of Technology (MIT) as part of the MISTI MIT-Italy FVG Project, working with Prof. Youssef Marzouk. His professional engagements reflect a growing international footprint and recognition in high-level research environments.

Research interest

Dr. Romor’s research centers on reduced-order modeling, nonlinear parameter space reduction, scientific machine learning, and high-dimensional numerical simulations. He is particularly interested in hybridizing classical numerical methods with deep learning tools, such as convolutional autoencoders and graph neural networks, to solve complex partial differential equations (PDEs) efficiently. His recent work extends to data assimilation in biomedical applications, including modeling aortic coarctation using shape registration and neural networks. These innovations push the boundary of how science and AI can co-evolve for real-world problem-solving.

Awards

While specific awards are not listed, Dr. Romor’s profile includes significant professional recognitions. These include being selected for a prestigious research visit to MIT and multiple invitations to speak at international conferences such as ECCOMAS, SIAM CSE, and AICOMAS. Such invitations are indicators of esteem within the scientific community and recognition of his impactful contributions.

Publications

1. Friedrichs’ systems discretized with the DGM: domain decomposable model order reduction and Graph Neural Networks approximating vanishing viscosity solutions
Authors: Francesco Romor, Davide Torlo, Gianluigi Rozza
Journal: Journal of Computational Physics
Article ID: 113915
Year: 2025

2. Explicable hyper-reduced order models on nonlinearly approximated solution manifolds of compressible and incompressible Navier-Stokes equations
Authors: Francesco Romor, Giovanni Stabile, Gianluigi Rozza
Journal: Journal of Computational Physics
Volume: 524, Article ID: 113729
Year: 2025

3. Generative Models for the Deformation of Industrial Shapes with Linear Geometric Constraints: model order and parameter space reductions
Authors: Guglielmo Padula, Francesco Romor, Giovanni Stabile, Gianluigi Rozza
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 423, Article ID: 116823
Year: 2024

4. A local approach to parameter space reduction for regression and classification tasks
Authors: Francesco Romor, Marco Tezzele, Gianluigi Rozza
Journal: Journal of Scientific Computing
Volume: 99, Issue: 3, Article ID: 83
Year: 2024

5. Non-linear Manifold Reduced-Order Models with Convolutional Autoencoders and Reduced Over-Collocation Method
Authors: Francesco Romor, Giovanni Stabile, Gianluigi Rozza
Journal: Journal of Scientific Computing
Volume: 94, Article ID: 74
Year: 2023
DOI: 10.1007/s10915-023-02128-2

Conclusion

In summary, Dr. Francesco Romor exemplifies the qualities of a forward-thinking and high-impact researcher in computational science. With a strong mathematical foundation, international experience, innovative applications of machine learning, and a robust publication record, he is well-positioned for prestigious research honors and academic recognition. His work not only advances numerical methods but also connects disciplines—from automotive engineering to biomedical modeling—making him a valuable asset to the global research community.

Prof Volodymyr Mikhailets | Analysis | Best Researcher Award |

Prof. Volodymyr Mikhailets | Analysis | Best Researcher Award

head of laboratory, at Institute of Mathematics of the National Academy of Sciences of Ukraine, Ukraine.

Prof. Volodymyr Mikhailets is a distinguished mathematician specializing in Partial Differential Equations (PDEs), Functional Analysis, and Mathematical Physics. With an academic career spanning over five decades, he has significantly contributed to spectral theory, interpolation methods, and Hilbert scales. Currently, he serves as a Visiting Professor at King’s College London and leads the Laboratory of PDEs at the Institute of Mathematics, National Academy of Sciences of Ukraine. His work has had a profound impact on both theoretical mathematics and applied mathematical models.

Professional Profile

Scopus

Orcid

Google Scholar

Education 🎓

Prof. Mikhailets earned his Ph.D. in Mathematics (1976) and later a Doctor of Physical and Mathematical Sciences (Dr. habil., 1990) from the Institute of Mathematics, NAS of Ukraine. He completed his M.Sc. (1972) and B.Sc. (1971) in Mathematics with honors from Taras Shevchenko National University of Kyiv.

Professional Experience 💼

Prof. Mikhailets has held several key academic and research positions. Since 2019, he has been the Head of the Laboratory of PDEs at the Institute of Mathematics, NAS of Ukraine. He has served as a researcher at the Institute of Mathematics, Czech Academy of Sciences (2022–2024) and was a professor at the National Technical University of Ukraine (2013–2022). His previous positions also include professorships in Poland and research roles at NAS Ukraine since 1975.

Research Interests 🌍

His research primarily revolves around functional analysis, spectral theory, interpolation spaces, and differential equations. He has made significant advancements in the theory of Hilbert scales, elliptic and parabolic problems, and spectral properties of differential operators. His contributions extend to mathematical physics, particularly in the study of Schrödinger operators and eigenvalue problems.

Awards & Honors 🏆

Throughout his career, Prof. Mikhailets has been recognized for his outstanding contributions to mathematics. He has received multiple accolades from the National Academy of Sciences of Ukraine and has been invited to prestigious international research institutes in Poland, the Czech Republic, and the United Kingdom. His work continues to influence modern mathematical theory and applications.

Top Noted Publications 📚

Hörmander Spaces, Interpolation, and Elliptic Problems – V.A. Mikhailets, A.A. Murach127 citations2014

The Refined Sobolev Scale, Interpolation, and Elliptic Problems – V.A. Mikhailets, A.A. Murach102 citations2012

Improved Scales of Spaces and Elliptic Boundary-Value Problems II – V.A. Mikhailets, A.A. Murach81 citations2006

Interpolation with a Function Parameter and Refined Scale of Spaces – V.A. Mikhailets, A.A. Murach73 citations2007

Interpolation Hilbert Spaces Between Sobolev Spaces – V.A. Mikhailets, A.A. Murach62 citations2011

Conclusion

Dr. Mikhailets Volodymyr is a highly accomplished researcher in mathematics with a strong international reputation, leadership experience, and significant contributions to PDEs and mathematical physics. While his impact within mathematics is outstanding, his influence in broader interdisciplinary applications and global research awards could be expanded.