AUSTIN, Texas—Mathematician Lexing Ying has been awarded the Feng Kang Prize for Scientific Computing from the Chinese Academy of Science and Alessio Figalli has been awarded the Peccot-Vimont Prize 2011 and Cours Peccot 2012 of the College de France.

Ying’s field of research is numerical analysis, and in particular the development, analysis and application of fast algorithms. Fast algorithms make it possible to solve many problems for which traditional techniques do not work. Ying develops and applies tools from a very broad range of mathematics and computer science. For example, he recently developed fast algorithms for the Helmholtz and Maxwell’s equations with solid theoretical foundation and with practical applications, for example, in seismology and electromagnetics. This has been an outstanding problem in computational linear algebra for decades.

The Peccot-Vimont Prize 2011 prize is given every year to one or two mathematicians under the age of 30 who have obtained outstanding results in pure or applied mathematics. Part of the prize is to deliver a series of lectures on his research at the College the France, the so-called "Cours Peccot."
Figalli’s research focuses on areas related to both analysis and geometry. One of his main fields of research is the theory of optimal transportation. This was introduced at the beginning of the 19th century, but has recently found important applications to many areas, such as Ricci flows in geometry, partial differential equations of evolution, image processing and optimal pricing. Figalli has contributed fundamental insights to the theory.
He also works on problems in the calculus of variations, for instance studying geometric and regularity properties of configurations modeling drops and crystals. More recently, he started working on regularity theory for elliptic partial differential equations, both of local and non-local type, and phase transition problems.
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