Tang receives NSF grant to study algebraic foundations of the hypelliptic Laplacian

Xiang Tang, professor of mathematics and statistics in Arts & Sciences, has received a $252,305 grant from the National Science Foundation (NSF).

To explain the research, Tang asks: How does the sound of a bell determine its shape, or vice versa? The collection of frequencies at which a geometric structure resonates is called its spectrum. The spectrum contains a great deal of information, but it’s difficult to extract. A new approach, based on a concept called the hypoelliptic Laplacian, has shown great promise. The overall goal of this research is a clearer and more powerful understanding of the algebraic and functional analytic foundations of the hypoelliptic Laplacian; extensive development of its applications to tempered representation theory; and a deepened understanding of the geometric and topological invariants of singular spaces.

The grant is part of a focused research team also funded by the NSF. The team consists of four principal investigators: Nigel Higson, of Pennsylvania State University; Tang and Yanli Song of Washington University; and Zhizhang Xie of Texas A&M University.

Leave a Comment

Comments and respectful dialogue are encouraged, but content will be moderated. Please, no personal attacks, obscenity or profanity, selling of commercial products, or endorsements of political candidates or positions. We reserve the right to remove any inappropriate comments. We also cannot address individual medical concerns or provide medical advice in this forum.