Michael T. Lacey

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

Lacey studied at the University of Texas at Austin (Bachelor's degree in 1981) and received his PhD in 1987 under Walter Philipp at the University of Illinois at Urbana-Champaign . He was then 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 has been a professor since 2001. Among other things, he was visiting scholar at the Institute for Advanced Study (1997), the Erwin Schrödinger Institute for Mathematical Physics in Vienna , the Fields Institute in Toronto , Buenos Aires , the University of Paris-South and the University of Tours.

Together with Christoph Thiele, Lacey developed the theory of the bilinear Hilbert transformation, solving the assumptions of 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 Lennart Carleson's theorem on the point-wise convergence of Fourier series for square-integrable functions.

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

In 2001, together with Pascal Auscher , Steve Hofmann , Alan McIntosh and Philippe Tchamitchian, he solved 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 of the distribution of points in unit cubes, which appeared in different areas such as geometry of numbers, probability theory, harmonic analysis and approximation theory. He continued the work of József Beck and worked with Armen Vagharshakyan and Dmitriy Bilyk.

In 2004 he was a Fulbright Fellow and in 2008 a 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 and Thiele received the Salem Prize . He is a fellow of the American Mathematical Society .

Web links

Footnotes

  1. ↑ On Calderón's Conjecture. In: Annals of Mathematics. Vol. 149, 1999, p. 475; Proc.Nat.Acad. Vol. 95, 1998, p. 4828
  2. ↑ Math.Res.Letters. Vol. 7, 2000, p. 361
  3. ↑ Emmanuel Lesigne: Almost sure central limit theorem for strictly stationary processes . In: Proceedings of the American Mathematical Society. Vol. 128, 2000, DOI: 10.1090 / S0002-9939-99-05157-6
  4. ^ Annals of Mathematics. Vol. 156, 2002, pp. 623, 633
  5. ↑ Michael T. Lacey: Lacey Small Ball and Discrepancy Inequalities . In: arXiv . September 28, 2006
  6. ^ József Beck & William Chen: Irregularities of Distributions. Cambridge University Press, 1987
personal data
SURNAME Lacey, Michael T.
ALTERNATIVE NAMES Lacey, Michael Thoreau (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH September 26, 1959
PLACE OF BIRTH Abilene (Texas)