Leading Researcher, at Institute of Mathematics of the National Academy of Sciences of Ukraine, Ukraine.
Prof. Dr. Hab. Aleksandr Murach is a distinguished mathematician specializing in partial differential equations, functional analysis, and Sobolev spaces. With over 30 years of academic and research experience, he has made significant contributions to mathematical sciences, mentoring PhD students and collaborating with leading institutions worldwide.
Professional Profile
Orcid
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Education 🎓
Diploma with Honours in Mathematics (1991) – Chernihiv State Pedagogical Institute
PhD in Mathematics (1995) – Institute of Mathematics, National Academy of Sciences of Ukraine
Doctor Habilitatus (Dr. Hab.) in Mathematics (2009) – Institute of Mathematics, National Academy of Sciences of Ukraine
Professional Experience 💼
Principal Researcher – Institute of Mathematics, National Academy of Sciences of Ukraine (2010–Present)
Professor of Mathematics – Institute of Mathematics, NASU (2021–Present)
Former Professor – Chernihiv National Pedagogical University & Chernihiv National Technological University
Senior Researcher & Assistant Professor – Extensive academic and research roles since 1996
Research Interests 🌍
Prof. Murach’s research revolves around elliptic and parabolic differential equations, Sobolev spaces, boundary-value problems, and interpolation between normed spaces. His work is pivotal in advancing theoretical and applied mathematics, particularly in solving complex mathematical models in physics and engineering.
Awards & Honors 🏆
Simons Foundation Grants (2022–2024) – Recognizing excellence in mathematical research
Universities-for-Ukraine Non-Residential Fellowship (2022–2023) – UC Berkeley Economics/Haas
Membership in Scientific Councils at leading Ukrainian institutions for PhD and Doctoral thesis defenses
Top Noted Publications 📚
Hörmander Spaces, Interpolation, and Elliptic Problems – V.A. Mikhailets, A.A. Murach, 130 citations, Walter de Gruyter GmbH & Co KG, 2014.
The Refined Sobolev Scale, Interpolation, and Elliptic Problems – V.A. Mikhailets, A.A. Murach, 103 citations, Banach J. Math. Anal, 2012.
Improved Scales of Spaces and Elliptic Boundary-Value Problems II – V.A. Mikhailets, A.A. Murach, 81 citations, Ukrainian Mathematical Journal, 2006.
Interpolation with a Function Parameter and Refined Scale of Spaces – V.A. Mikhailets, A.A. Murach, 74 citations, Methods Funct. Anal. Topology, 2007.
Interpolation Hilbert Spaces Between Sobolev Spaces – V.A. Mikhailets, A.A. Murach, 64 citations, Results in Mathematics, 2015.
Conclusion
Professor Dr. Hab. Aleksandr Murach is an exceptional candidate for the Best Researcher Award, given his extensive publication record, leadership in mathematical research, and international recognition. His work significantly contributes to the field of partial differential equations and functional analysis. Strengthening global collaborations and interdisciplinary applications could further enhance his profile. If the award criteria emphasize theoretical advancements in mathematics, he would be a strong contender. However, for awards prioritizing interdisciplinary and applied impact, additional industry collaborations could be beneficial.