Michael Lacey is an American mathematician born in 1959. He finished his Ph.D. in the University of Illinois in 1987. He has solved a problem on the law of the iterated logarithm for empirical characteristic functions. His work has to do with the fields of probability, ergodic theory and harmonic analysis.
After this he worked at the Louisiana State University and the University of North Carolina at Chapel Hill. While working at the University of North Carolina, in collaboration with Walter Phillip, Lacey proved the almost sure central limit theorem. Read more: Michael Lacey | Wikipedia
This theory claims that, for the most part, when independent variables are randomly added, their correctly normalized sum tends towards a normal distribution even if the original values were not.
From 1989 to 1996 he had a position in the Indiana University where he received a National Science Foundation Postdoctoral Fellowship. During this time he took up studying bilinear Hilbert transform. At the time the Hilbert transform was a topic of conjecture. Lacey, along with Thiele, solved it in 1996 and were awarded the highly prestigious Salem Prize for young mathematicians.
Since then he has been a Professor in Mathematics in Georgia Institute of Technology. In 2004 he took up a fellowship to collaborate with Xiaochun Li. Since 2012 he is a member of the American Mathematical Society. Learn more about Micheal Lacey: https://scholar.google.com/citations?user=CVXnps0AAAAJ&hl=en and https://www.genealogy.math.ndsu.nodak.edu/id.php?id=62509
Some of the honors he has received are the Simons Fellow, Georgia Tech NSF-ADVANCE Mentoring ward, Fullbright Fellowship in Buenos Aires, Argentina, Guggenheim Fellow, and the NSF Postdoctoral Fellow. Some of his publications are:
- Multiparameter Riesz commutators
- The solution of the Kato problem for divergence from elliptic operators with Gaussian heat kernel bounds
- A proof of boundedness of the Carleson operator
- Two Weight Inequality for the Hilbert Transform: A Real Variable Characterization
- Pointwise convergence of vector-valued Fourier series
He has been a participant of academic seminars in Yale University, University of South Australia, the Czech Republic, Universidad Seville, University of Helsinki, Berlin and many others.
Michael Lacey has been greatly prized as a mentor in the Georgia Institute of Technology. As one thankful graduate said, “I would like to thank you for the help, guidance, and motivation you’ve given me, and for the recommendations you have written on my behalf. I have much to be thankful for, and I could not have gotten this award without you.”