Alvaro Pelayo receives an NSF Career Award to support his research at the intersection of symplectic geometry, spectral theory and dynamics.
See the NSF's mention of this award ⇨ See the mention of Pelayo in the "Notables" section of the WUSTL Record ⇨
Physicists and chemists working on modern quantum spectroscopy have been interested in seeing how mathematical methods can contribute to advance research and predict new physical phenomena. Of particularly interest is the understanding of the global structure of the joint energy-momentum spectra of small molecules: Physicists have asked whether one can single out an optimal set of mathematical invariants that would characterize a physical system, then detect these invariants in the spectrum of the system. The detection of the invariants in the system spectrum should allow to reconstruct the system and hence predict new phenomena.
Symplectic geometry has its roots in physics, and provides an appropriate mathematical framework to study many problems of physics and chemistry and their quantum counterparts. Alvaro Pelayo's research is focused on a fundamental type of physical system, the so called integrable systems. Pelayo employs methods from pure mathematics (symplectic and spectral theory, microlocal analysis) to address problems from the applied sciences. Applications from quantum molecular spectroscopy are integrated in his research.
Learn more about the research that motivated the award ⇨
The Faculty Early Career Development (CAREER) Program is a Foundation-wide activity that offers the National Science Foundation's most prestigious awards in support of junior faculty who exemplify the role of teacher-scholars through outstanding research, excellent education and the integration of education and research within the context of the mission of their organizations.
Learn more about the Faculty Early Career Development Program ⇨
See also Professor Matthew Kerr awarded NSF grant in the Algebra and Number Theory program⇨
– Math news, stories, videos, and interviews by Marie C. Taris, http://www.math.wustl.edu/marietaris/math.html⇨
