
About
H. Dumas is a Professor in the Department of Mathematical Sciences at the University of Cincinnati, with academic affiliations spanning over four decades. His research focuses on dynamical systems, applied mathematics, and their applications in physics, particularly in particle accelerators, celestial mechanics, and condensed matter physics. He has held visiting positions at institutions worldwide, including universities in France, Germany, Brazil, and China. Dumas is renowned for his work on averaging methods, KAM theory, and Hamiltonian systems, with over 60 peer-reviewed articles and multiple authored/translated books.
Education & Academic Career: Awarded the Tom L. Popejoy Dissertation Prize (1991) for his PhD thesis. He held postdoctoral roles at the University of Minnesota (1989–1990) and received NSF grants (1992–2000). His academic leadership includes organizing international conferences, such as the 1992 Hamiltonian Dynamical Systems conference at UC.
Research Contributions: His work bridges pure and applied mathematics, emphasizing long-term stability in Hamiltonian systems. Notable contributions include the 'KAM Story' book (2014), a foundational text on KAM theory, and pioneering studies on particle channeling in crystals and spin-orbit interactions in accelerators.
Awards & Honors: Recipient of the Mrs. A.B. (Dolly) Cohen Award (2008) and the Edith C. Alexander Award (2009) for teaching excellence. His research has been supported by grants from the NSF, Ohio Supercomputer Center, and UC.
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