This three-year National Science Foundation Project Grant of $395,545 will support research at Brandeis University advancing the framework of algebraic dynamical systems in Diophantine approximation theory. The university will develop new methods and obtain generalizations of results in this field, which concerns simultaneous approximation of real numbers by rational numbers through dynamical systems models. Graduate and undergraduate students will participate in the research project and be introduced to techniques in number theory and dynamics. They will also supervise undergraduate research projects through the PRIMES program for high school students. Key mathematical tools to be employed include Schmidt games, Eskin-Margulis-Mozes integral inequalities, mixing and equidistribution properties, Siegel-Rogers moment formulas, and parametric geometry of numbers. This award from the NSF's Mathematical and Physical Sciences program (CFDA 47.049) advances the agency's mission to strengthen the U.S. scientific enterprise through increasing mathematical and physical sciences knowledge and understanding major national challenges.
Generated 1/6/24, 10:09 AM