Michael Lacey

Michael Thoreau Lacey ( born September 26, 1959) is an American mathematician who deals with harmonic analysis and probability theory.

Lacey graduated from the University of Texas at Austin ( BA 1981) and his doctorate in 1987 at Walter Philipp at the University of Illinois at Urbana- Champaign. After that, he was an assistant professor at Louisiana State University, the University of North Carolina and Indiana University (1989 to 1996). From 1996 he was an associate professor at the Georgia Institute of Technology, where he is a professor since 2001. He has been a visiting scientist at the Institute for Advanced Study (1997), the Erwin Schrödinger Institute for Mathematical Physics in Vienna, at the Fields Institute in Toronto, Buenos Aires, at the University of Paris-Sud and the University of Tours.

Lacey developed with Christoph Thiele the theory of bilinear Hilbert transform, in which they solved conjectures by Alberto Calderón, and new methods of phase space analysis (for which they received the Salem Prize ). With Thiele he also gave a new proof of the theorem by Lennart Carleson of the pointwise convergence of Fourier series of square integrable functions.

In his thesis he worked on probability theory in Banach spaces. With his teacher Phillip in 1990 he gave a proof of the almost sure central limit theorem ( a first of Paul Lévy was formulated in 1937 variant of the Central Limit Theorem ).

In 2001 he broke with Pascal Auscher, Steve Hofmann, Alan McIntosh and Philippe Tchamitchian the Kato - root problem for elliptic differential operators in three and more dimensions. He also dealt with the theory of Small Ball Inequality, questions about the irregularities in the distribution of points in unit cubes that appeared in different areas such as geometry of numbers, probability theory, harmonic analysis and approximation theory. He led works of József Beck further and worked with poor Vagharshakyan and Dmitriy Bilyk.

In 2004 he was a Fulbright Fellow and 2008 Guggenheim Fellow. In 1998 he was invited speaker at the International Congress of Mathematicians (ICM ) in Berlin ( On the bilinear Hilbert transform ). In 1997 he received the Salem Prize with Thiele. He is a Fellow of the American Mathematical Society.