Michael Lacey
Curriculum Vitae

LaceyCV.pdf

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Education

  • 1981 B.S. University of Texas at Austin
  • 1987 Ph.D. University of Illinois Urbana--Champaign
  • Thesis topic: Limit Theorems in Probability. Directed by Walter Philipp

    • Positions

    Full Time Positions

  • 1987---88 Assistant Professor, Louisiana State University
  • 1988---89 Assistant Professor, University of North Carolina
  • 1989---1996 Assistant Professor, Indiana University
  • 1996---1998 Associate Professor, Georgia Institute of Technology
  • 1998---20XX Full Professor, Georgia Institute of Technology

    • Short Term Positions

  • 2005 Visiting Professor, University of British Columbai
  • 2003 Research Professor, Erwin Schrodinger Institute
  • 2002 Maitre d'Conference at Universite d'Paris, Orsay
  • 2000 Visiting Professor at Australian National University, Canberra
  • 1998 Member, Institute for Advanced Study, Princeton NJ
  • 1997 Research in Pairs with C.Thiele, Oberwolfach, Germany.
  • 1994 Maitre d'Conference at Universite d'Francois Rabelais, Tours France

    • Honors

  • 2004: Guggenheim Fellow
  • 1998: 45 Minute address at International Congress of Mathematicians, Berlin Germany
  • 1998: Invited Hour Address, AMS Sectional Meeting, Atlanta
  • 1997: Awarded Prix Salem, jointly with Christoph Thiele
  • 1990: National Science Foundation Postdoctoral Fellow

    • Principal Scientific Accomplishments

  • Theory of Bilinear Hilbert Transform, and new methods of phase plane analysis, jointly with C.Thiele. We in addition developed a new proof of the pointwise convergence of Fourier series, the famous theorem due to Carleson.
  • Kato Square Root Problem, in dimensions 3 and higher, jointly with P.Auscher, S.Hoffmann, A. McIntosh, and P. Tchamitchian
  • Boundedness of Little Hankel Operators, jointly with S.Ferguson
  • L^2 estimate for Hilbert Transform on smooth families of lines, jointly with Xiaochun Li

    • Research Publications

    1. arXiv:0709.2713 Title: On the Signed Small Ball Inequality Authors: Dmitry Bilyk, Michael Lacey, Armen Vagharshakyan Submitted to OJAC.
    2. arXiv:0705.4619 Title: On the Small Ball Inequality in All Dimensions Authors: Dmitry Bilyk, Michael Lacey, Armen Vagharshakyan Jouranl: J Func Analy, to appear.
    3. arXiv:0704.3720 Title: Multiparameter Riesz Commutators Authors: Michael Lacey, Stefanie Petermichl, Jill Pipher, Brett Wick Journal: American J Math
    4. arXiv:0704.0808 Title: On a Stein Conjecture on the Hilbert Transform on Vector Fields Authors: Michael Lacey, Xiaochun Li Journal: Memoirs of the AMS, submitted.
    5. arXiv:math/0609817 Title: On the Discrepancy Function in Arbitary Dimension, Close to $ L ^{1}$ Authors: Michael T Lacey Journal: Analysis Mathematica, submitted.
    6. arXiv:math/0609816 Title: Small Ball and Discrepancy Inequalities Authors: Michael T Lacey
    7. arXiv:math/0609815 Title: On the Small Ball Inequality in Three Dimensions Authors: Michael T Lacey, Dmitry Bilyk Journal: Duke Math J, to appear
    8. Breaking the duality in the return times theorem, Demeter, Ciprian, Lacey, Michael, and Tao, Terence, Thiele, Christoph, arXiv:math.DS/060145d, To appear in Duke.
    9. Lectures on Nehari's Theorem on the Polydisk. Michael Lacey. arXiv:math.CA/0601272 J Marshall Ash-Roger Jones Conference Proceedings.
    10. On an Argument of Shkredov on Two-Dimensional Corners. Michael T. Lacey, William McClain. math.CO/0510491 Online J Analytic Combinatorics, Issue 2, 2007.
    11. Wiener-Wintner for Hilbert Transform. Michael Lacey, Erin Terwilleger. math.CA/0601192
    12. math.CA/0502336 Commutators with Reisz Potentials in One and Several Parameters. Hokida Journal of Math
    13. math.CA/0502334 Paraproducts in One and Several Parameters. Michael T. Lacey, Jason Metcalfe. To appear in Forum Math.
    14. math.CA/0412174 Variations on the Theme of Journe's Lemma. Carlos Cabrelli, Michael Lacey, Ursula Molter, Jill C. Pipher. Houston J Math.
    15. Remarks on Product VMO, with Erin Terwilleger and Brett Wick. math.CA/0405097 PAMS 134 (2006) 465-474.
    16. Rubio de Francia Littlewood Paley Inequalities and Directional Maximal Functions with Grigor Karagulyan math.CA/0404028
    17. An Estimate of the Maximal Operators Associated with Generalized Lacunary Sets with Grigor Karagulyan math.CA/0404027 Izv. Nats. Akad. Nauk Armenii Mat. 39 (2004), no. 1, 73
    18. Maximal Theorems for the Directional Hilbert Transform on the Plane with Xiaochun Li Trans. Amer. Math. Soc., 358, (2006), 4099--4117.
    19. Hankel Operators in Several Complex Variables and Product $BMO$ with Erin Terwilleger. math.CA/0310348 Houston J Math, to appear
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    20. Lacey, Michael T. Issues related to Rubio de Francia's Littlewood--Paley Inequality: A Survey math.CA/0306417
      21. NYJM.
    21. Lacey, Michael T. Carleson's Theorem: Proof, Complements, Variation. (2003) math.CA/0307008 Publ. Mat. 48 (2004), no. 2, 251--307
    22. Barrionuevo, Jose, and Lacey, Michael T. A weak-type orthogonality principle Proc. Amer. Math. Soc. 131 (2003) #6, 1763--- 1769.
    23. Lacey, Michael, Carleson's theorem with quadratic phase functions, Studia Math. 143 (2002) #3, 249---267.
    24. Ferguson, Sarah, Lacey, Michael, A characterization of product BMO by commutators, Acta Math. 189 (2002) 143---160
    25. Auscher, Pascal, Hofmann, Steve, Lacey, Michael, Lewis, John, McIntosh, Alan, Tchamitchian, Philippe, The solution of Kato's conjectures, C.R.Acad.Sci.Paris Ser.I Math., 332, (2001), 601--- 606,
    26. Lacey, Michael, Thiele, Christoph, A proof of boundedness of the Carleson operator, Math.Res.Lett., 7, (2000),
    27. Lacey, Michael T., The bilinear maximal functions map into $L\sp p$ for 2/3\less p \lesseq 1, Ann.of Math.(2), 151, (2000), 35--- 57,
    28. Jones, Roger L., Lacey, Michael, Wierdl, Mate, Integer sequences with big gaps and the pointwise ergodic theorem, Ergodic Theory Dynam.Systems, 19, (1999), 1295--- 1308,
    29. Lacey, Michael, Thiele, Christoph, On Calderon's conjecture, Ann.of Math.(2), 149, (1999), 475--- 496,
    30. Lacey, Michael T., The bilinear Hilbert transform is pointwise finite, Rev.Mat.Iberoamericana, 13, (1997), 411--- 469,
    31. Lacey, Michael T., On the bilinear Hilbert transform, Proceedings of the International Congress of Mathematicians, Vol.II (Berlin, 1998), Doc.Math., (1998), Extra Vol.II, 647--- 656 (electronic), Lacey, Michael T., Thiele, Christoph M., On Calderon's conjecture for the bilinear Hilbert transform, Proc.Natl.Acad.Sci.USA, 95, (1998), 4828--- 4830 (electronic),
    32. Lacey, Michael T., The return time theorem fails on infinite measure-preserving systems, Ann.Inst.H.Poincare Probab.Statist., 33, (1997), 491--- 495,
    33. Lacey, Michael, Bourgain's entropy criteria, Convergence in ergodic theory and probability (Columbus, OH, 1993), Ohio State Univ.Math.Res.Inst.Publ., 5, 249--- 261, (1996),
    34. Lacey, Michael, Thiele, Christoph, $L\sp p$ estimates on the bilinear Hilbert transform for $2\less p\less \infty$, Ann.of Math.(2), 146, (1997), 693--- 724,
    35. Lacey, Michael, On an inequality due to Bourgain, Illinois J.Math., 41, (1997), 231--- 236,
    36. Lacey, Michael, Thiele, Christoph, $L\sp p$ estimates for the bilinear Hilbert transform, Proc.Nat.Acad.Sci.U.S.A., 94, (1997), 33--- 35,
    37. Lacey, M.T., On bilinear Littlewood-Paley square functions, Publ.Mat., 40, (1996), 387--- 396,
    38. Houdr{e, C., Lacey, M.T. Spectral criteria, SLLN's and a.s. convergence of series of stationary variables, Ann.Probab., 24, (1996), 838--- 856,
    39. Lacey, M.T., Sharp estimates of the Sobolev norm of $u$ times the gradient of $v$, J.Math.Anal.Appl., 205, (1997), 554--- 559,
    40. Lacey, Michael T., Ergodic averages on circles, J.Anal.Math., 67, (1995), 199--- 206,
    41. Lacey, Michael T., Transferring the Carleson-Hunt theorem in the setting of Orlicz spaces, Interaction between functional analysis, harmonic analysis, and probability (Columbia, MO, 1994), Lecture Notes in Pure and Appl.Math., 175, 307--- 314, Dekker, (1996),
    42. Lacey, Michael, Petersen, Karl, Wierdl, M{a}t{e}, Rudolph, Dan, Random ergodic theorems with universally representative sequences, Ann.Inst.H.Poincare Probab.Statist., 30, (1994), 353--- 395,
    43. Lacey, Michael T., Weak convergence in dynamical systems to self-similar processes with time average representation, Chaos expansions, multiple Wiener-Ito integrals and their applications (Guanajuato, 1992), Probab.Stochastics Ser., 163--- 178, CRC, (1994),
    44. Lacey, Michael T., On central limit theorems, modulus of continuity and Diophantine type for irrational rotations, J.Anal.Math., 61, (1993), 47--- 59,
    45. Lacey, Michael, On almost sure noncentral limit theorems, J.Theoret.Probab., 4, (1991), 767--- 781,
    46. Lacey, Michael T., On weak convergence in dynamical systems to self-similar processes with spectral representation, Trans.Amer.Math.Soc., 328, (1991), 767--- 778,
    47. Lacey, Michael T., Limit laws for local times of the Brownian sheet, Probab.Theory Related Fields, 86, (1990), 63--- 85,
    48. Lacey, Michael, Large deviations for the maximum local time of stable Levy processes, Ann.Probab., 18, (1990), 1669--- 1675,
    49. Lacey, Michael T., Philipp, Walter, A note on the almost sure central limit theorem, Statist.Probab.Lett., 9, (1990), 201--- 205,
    50. Lacey, Michael T., A remark on the multiparameter law of the iterated logarithm, Stochastic Process.Appl., 32, (1989), 355--- 367,
    51. Lacey, Michael, Laws of the iterated logarithm for partial sum processes indexed by functions, J.Theoret.Probab., 2, (1989), 377--- 398,
    52. Lacey, Michael T., Laws of the iterated logarithm for the empirical characteristic function, Ann.Probab., 17, (1989), 292--- 300,
    53. Lacey, Michael, Weak convergence to self-affine processes in dynamical systems, New directions in time series analysis, Part II, IMA Vol.Math.Appl., 46, 255--- 262, Springer, (1993),

    Research Grants

    National Science Foundation Grants

  • 2005-2010, $551,000. NSF Grant.
  • 2005--2008, $430,000 PI with Yang Wang and Gerd Mockenhoupt on an Focused Research Group, jointly with University of Georgia and University of Missouri.
  • 2004, $30,000 Co-PI on Grant for Thiele's CBMS Lectures at GT, in May 2004.
  • 05/02---05/05, $208,000
  • 08/02--07/05, $1,500,000 (VIGRE grant to School of Mathematics, Georgia Tech.
    I am the P.I. $2.5 Million expected over the five year duration of the grant.)
  • 07/00---09/02, $98,000 (Creative Extension to the previous grant.)
  • 07/97--08/99, $147,000
  • 07/95---09/96, $40,000
  • 07/90---07/93, $66,000 (NSF Postdoctoral Fellowship)
  • 08/89---12/90, $60,000
  • 08/89---12/90, $2,000

    • Other Grants

  • CoPI on grant for CBMS lectures of C. Thiele in Atlanta, May 2004.
  • 02/03---02/04, $8,000 National Academy of Sciences grant to fund collaboration with G.Karagulyan, of the Armenian Academy of Sciences.
  • 08/96---08/98, $5,000 NATO grant awarded to C.Thiele and myself.

    • Conferences, Seminars and Colloquiums

    2005

  • Seminar University of British Columbia, February
  • Technical University of Vienna, May
  • E Schrodinger Institute, Vienna, Seminar May
  • Oberwolfach, July (Participation only)
  • Plenary, Harmonic Analysis in Japan (Two Lectures) August
  • Plenary, Harmonic Analysis and Approximation in Armenia September
  • Number Theory Seminar, UIUC October
  • ``Applying to Grad School'' UIUC October
  • Colloqouium, Vanderbilt University, November
  • ``Applying to Grad School'' Vanderbilt University, November
  • Invited Talk, Harmonic Analysis and Ergodic Theory, DePaul University, December

    2004

  • Colloquium at Simon Fraser University, Vancouver
  • Seminar at Simon Fraser University, Vancouver
  • Colloquim at University of South Carolina
  • Seminar at University of South Carolina
  • Seminar at University of South Carolina
  • Colloquium at Temple University
  • Colloquium, Southeastern Analysis Meeting, Tuscaloosa, Alabama
  • Special Trimester in Harmonic Analysis, Pisa Italy
  • Southern California PDE meeting, San Diego
  • Seminar, Brown University

    • 2003

  • Keynote at Southeastern Analysis Meeting, Knoxville TN
  • Six talks at E. Schrodinger Institute, Vienna Austria
  • Colloquium, Technical University of Graz
  • Colloquium for the Pi Mu Epsilon Nationa Conference in Atlanta, June 2003.
  • Seminar, Mathematics in Armenia, Taskador Armenia.
  • Seminar and Colloquium, University of British Columbia
  • Seminar, UCLA
  • Applying to Grad School, for GT Undergrad Majors
  • Colloquium, Clark Atlanta University
  • Annual Meeting of the Canadian Math Society
  • Seminar at Georgia Tech

    • 2002

  • Seminar at Macquarie University, Sydney Australia
  • Seminar at Australian National University, Canberra
  • Conference Spring Lectures, Univ Arkansas, Fayetteville
  • Undergrad talk University of Arkansas, Fayetteville
  • Conference PDE, Harmonic Analysis, University of Missouri
  • Conference Fabes-Riviere Symposium, University of Minnesota
  • Conference Harmonic Analysis, Oberwolfach
  • Colloquium at Universite Francoise Rabelais, Tours France
  • Colloquium at Universite d?Cergy, France
  • Seminar at Universite d?Paris, Orsay France
  • Seminar at Universite d?Orleans, France

    • 2001

  • Seminar at University of Missouri, Columbia
  • Seminar at University of South Carolina
  • Contributed Talk Southeast Analysis Meeting, Athens GA
  • Conference University of Memphis
  • Colloquium at University of Missouri
  • Conference Talk at Convexity 2001, Milan
  • Conference Talk Young Analysts Meeting, Furman University, SC
  • Conference Talk Approx Theory, Yerevan, Armenia
  • Colloquium at U Tennessee, Knoxville
  • Undergrad Talk U Tennessee, Knoxville
  • Seminar at Princeton University
  • Conference Talk Harmonic Analysis, Auburn University, AL

    • 2000

  • Seminar at University of New South Wales, Australia
  • Colloquium at Australian National University, Canbera
  • Seminar at Macquarie University, Sydney Australia

    • 1999

  • Conference Talk Vanderbilt Univ.
  • AMS Special Session Organizer Melbourne, Australia
  • Colloquium at Australian Nat. University
  • Seminar at Univ. of New South Wales
  • Seminar at Auburn University
  • Colloquium at Banach Center, Warsaw, Poland

    • 1998

  • Colloquium at University of Memphis
  • Seminar at Analysis 1998), Kiel Germany
  • 45 Min. Address ICM, Berlin Germany
  • Plenary Address, AMS Southeastern Sectional Meeting, Atlanta GA
  • Seminar at IMPA, Rio de Janeiro, Brazil
  • Colloquium at Texas A & M

    • 1997

  • Seminar at Dixieland Seminar at, Emory University
  • Seminar at Georgia Tech
  • Seminar at Laurent-Schwartz Seminar, Univ. Paris VI
  • Seminar at Harmonic analysis and PDE Workshop, MSRI
  • Seminar at MSRI
  • Keynote at Wabash Seminar at, Indianapolis
  • Colloquium at Florida State University
  • Colloquium at University of South Alabama
  • Seminar at AMS Meeting, Pretoria, South Africa

    • 1996

  • Colloquium at Georgia Institute of Technology
  • Colloquium at University of New Mexico
  • Seminar at Miniconference on Harmonic Analysis, Auburn University

    • 1995

  • Seminar at Yale University
  • Colloquium at Georgia Institute of Technology
  • Seminar at Meeting with C. Fefferman, Princeton University
  • Seminar at City University of New York

    • 1994

  • Seminar at at Washington University, St. Louis (2 talks)
  • Seminar at at Conference on Probability Theory, Banach Spaces and Harmonic Analysis, University of Missouri, Columbia
  • Seminar at at Calderon-Zygmund Seminar at, University of Chicago

    • 1993

  • Seminar at University of Wisconsin, Madison
  • Seminar at Conference on Probability Theory, Indiana University, Bloomington
  • Seminar at Conference on a.e. convergence, Ohio State University
  • Seminar at Conference on Probability in Banach Spaces, Aarhus University, Denmark
  • Colloquium at University of Umea, Sweden
  • Seminar at University of Paris VI, Paris, France
  • Seminar at University of Rennes, France
  • Seminar at University of Francois Rabelais, Tours, France

    • 1992

  • Seminar at Purdue University
  • Seminar at Conference on Probability Theory and Harmonic Analysis, Kansas State University
  • Seminar at University of Maryland, College Park
  • Colloquium at University of Maryland, College Park
  • Seminar at Ohio State University
  • Colloquium at Ohio State University
  • Seminar at Conference on Wiener-Ito Integrals, CIMAT, Guanajuato, Mexico

    • 1991

  • Seminar at Texas A&M University
  • Seminar at Memphis State University
  • Seminar at University of NC, Chapel Hill
  • Seminar at Regional Conference on Harmonic Analysis, Auburn University
  • Seminar at University of Texas, Austin
  • Seminar at Sherman Memorial Conference, Indiana University
  • Seminar at AMS Special Session, North Dakota State University
  • Seminar at Special Workshop in Ergodic Theory, University of North Carolina

    • 1990

  • Seminar at Purdue University
  • Seminar at AMS Special Session, Kansas State University
  • Seminar at Texas A&M University
  • Seminar at Workshop on Time Series, Institute for Mathematics and Its Applications, University of Minnesota
  • Seminar at University of Illinois, Urbana Champaign

    • 1989

  • Seminar at Boston University
  • Colloquium at Boston University
  • Seminar at Conference on a.e. convergence, Northwestern University

    • 1988

  • Two Seminars at at Louisiana State University
  • Three Seminars at at University of NC at Chapel Hill

    • Service

    School of Mathematics

  • 1998: Chair of Undergraduate Committee. Oversaw the selection of new Calculus texts to implement an "early linear algebra" approach to Calculus.
  • 1998---2000: Hiring Committee. This Committee of three served as principal council to the Chair on all hiring matters. Hired four and five faculty members, respectively, in the two years of service.
  • 1998: Orgainized Special Session of the AMS Meeting in Atlanta Georgia.
  • 1999: Organized Special Session with Alan McIntosh of the Joint AMS Australian Mathematical Society Meeting, Melbourne Australia.
  • 2000: Member of Executive Committee, council to the Chair on performance evaluations and awards to faculty members.
  • 2001: Director of Undergraduate Education, with oversight of the entire undergraduate program in mathematics at the Georgia Institute of Technology.
  • 2001: With Richard Duke, Interim Chair, wrote a successful NSF VIGRE Award, to train undergraduates, graduate students and postdoctorates in the School of Mathematics. Award amount is to be $2,100,000 over a five year period.
  • 2001: Member of Faculty Advisory Committee, representing faculty interests in matters concerning governance of the School of Mathematics.
  • 2002: Associate Chair of Undergraduate Education. Role is expanded, to work more closely with the Chair, Professor W.T.Trotter. Duties associated with this position are outlined below.

    • Other Service

  • Served on the NSF Real, Complex and Harmonic Analysis Panel in 1998), 1999), 2001, and 2003. Over 3 days, approximately 70 proposals are ranked, setting priorities for funding.
  • 2002--03. Served as postdoc mentor to E.Terwilliger, VIGRE postdoc at Georgia Tech
  • 2002--03. Mentor to graduate students P.Pichardo, W.Jiang and W.McClain, first and second year graduate students at Georgia Tech.
  • 2002-03. Postdoc Selection Committee
  • 2003-04. Salary and Awards Committee
  • 2003-04. Postdoc Selection Committee.
  • 2003-04. Mentor to Grad Students Patty Pichardo, William McClain, Derrick Hart, and Postdoc Jason Mecalfe.
  • 2005. NSF Graduate Fellowship Panel.
  • 2005 NSF CAREER Panel
  • 2005- Harmonic Analysis editor of Proceedings of American Mathematical Society.

    • Duties of Associate Chair for Undergaduate Studies

  • Advising students on course work.
  • Advising current majors on issues related to the expansion of their undergraduate education. Includes REUs, Study Abroad, Senior Projects, among other activities.
  • Recruitment of students/majors. This entails attending Connect with Tech for several hours every year; answering telephone calls; meeting with students who have arranged their own trip to campus; among other activities. 25 hours.
  • Creating and maintaining the web pages for the Undergraduate Program.
  • Scheduling Fall and Spring classes. 4 hours.
  • Addressing student complaints about teaching and grade assignment. A fairly small number of complaints every year, but each one can take one hour to respond to. (Collect final exams, look at grade book, contact instructor, contact student.) 12 hours.
  • The number of majors has increased from 120 in the Spring 2001 semester to 135, in the Fall 2001 semester.
  • Arranging for various events that help keep math majors. These include Freshman Seminar; Attending the play ``Proof" in the April 2001; the Lunch with John Conway, April 2001; Lunches for the Majors, with two a semester; arranging majors to attend Actuary Open House; maintaining web pages (again). In 2001, 20+ hours.
  • Advising seniors on fellowship and graduate student applications. Checking with many seniors to insure that they are pursuing career opportunities after graduation. 30 hours.
  • Ten students applied for the NSF graduate fellowships in the Fall 2003 semester. In addition three other students applied for a range of additional applications, such as the Rhoades, Gates Cambridge and Fulbright Fellowships.
  • Managing the REU program. Summer 2002 program had twelve students in it. Had to select students, insure a reasonable project. Talk to students over course of summer. Conduct Exit Interviews. Write report on the REU. 45 hours of work.
  • Three students reported on findings from their 2002 REU, in joint work with Professor McCuan. Reported findings at AMS special session on Soap Films, Salt Lake City, Utah, October 2002.
  • Manage the placement of Discrete Mathematics majors into senior projects with faculty mentor.
  • One of these students, Nathan Bell, is pursuing a very interesting computer graphics problem, under the direction of Professor Mucha. They are modeling balls falling in an hourglass.
  • Communicating with other units about School of Mathematics courses and activities and courses at the undergraduate level. 5 hours.
  • Participation in VIGRE workshops, May 2000 and May 2001. 16 hours each.
  • Manage textbook selections and curriculum issues in a range of courses. The courses that this has impacted over the past year includes: Math 1711/1712, the calculus sequence, Math 3215, Math 2401, and Math 2403. Issues ranged from adjusting syllabus, influencing content in selected books, meetings with client units, and changing textbooks. 15 hours spent on this.
  • In particular, the form of Calculus 3 for CS has been changed to include a recitation, just as the regular Calculus 3 course is run.
  • Readmissions to Georgia Tech. 3 hours.
  • Preparing annual Assessment reports.