CURRICULUM VITA OF JAMES MICHAEL WILSON Personal data ...

CURRICULUM VITAE OF JAMES MICHAEL WILSON
Personal data.
Born: June 20, 1955; Santa Cruz, California.
Current address: Department of Mathematics, University of Vermont, Burlington, Vermont 05405.
Phone number: 802-656-4326.
Website: http://www.emba.uvm.edu/˜wilson.
Education.
[1] University of California, Los Angeles; 1977-1981; M.A., 1979; PhD, 1981.
[2] California Institute of Technology, Pasadena, California; 1973-1977; B. S.
Thesis advisor: John B. Garnett.
Area of specialization: Classical harmonic analysis (AMS Classification: 42).
Employment history.
[1] Visiting Professor of Mathematics; University of Missouri, Columbia [on sabbatical from UVM], 2012-2013.
[2] Visiting Professor of Mathematics; Universidad de Sevilla, Sevilla, Spain [on sabbatical from UVM], 2004-
2005.
[3] Professor of Mathematics; University of Vermont, 1999-present.
[4] Visiting Associate Professor of Mathematics; Rutgers University (New Brunswick, New Jersey) [on sabbatical
from UVM], 1992-1993.
[5] Associate Professor of Mathematics; University of Vermont, 1991-1999.
[6] Assistant Professor of Mathematics; University of Vermont, 1986-1991.
[7] Van Vleck Assistant Professor; University of Wisconsin, Madison, 1983-1986.
[8] L. E. Dickson Instructor; University of Chicago, 1981-1983.
[9] Teaching assistant; UCLA, 1978-1981.
[10] Tutor and summer school teacher; Office of Secondary Schools Relations, California Institute of Technology,
1974-1977.
Invited talks.
[1] “Boundedness, convexity, and almost-orthogonality”; August 26, 2014; analysis seminar; Department of
Mathematics, McGill University, Montreal, Quebec, Canada.
[2] “Invariance of almost-orthogonal systems between A ∞ weighted spaces”; June 11, 2014; International Conference
on Harmonic Analysis and Applications, Chern Institute of Mathematics, Nankai University, Tianjin,
China.
[3] “Almost-orthogonality in weighted spaces”; May 30, 2014; analysis seminar; Department of Mathematics,
Beijing Normal University, Beijing,China.
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[4] “What Littlewood-Paley Theory Does”; May 23, 2014; analysis seminar; Department of Mathematics, Beijing
Normal University, Beijing,China.
[5] “Invariance of almost-orthogonal systems between A ∞ weighted spaces”; April 5, 2014; Special Session on
Weighted Norm Inequalities and Related Topics, AMS regional meeting; Albuquerque, New Mexico.
[6] “Almost-orthogonality in weighted spaces”; May 15, 2013; analysis seminar; Department of Mathematics,
University of Kansas, Lawrence, Kansas.
[7] “Invariance and stability of almost-orthogonal systems”; October 2, 2012; analysis seminar; Department of
Mathematics, University of Missouri, Columbia, Missouri.
[8] “A ∞ -weighted spaces almost have the same almost-orthogonal families”; March 30, 2012; Special session on
Harmonic Analysis, AMS regional meeting; Lawrence, Kansas.
[9] “Intrinsic square function and almost-orthogonality on homogeneous spaces”; January 4, 2012; Special session
on Harmonic Analysis, Joint Mathematics Meeting (AMS/MAA); Boston, Massachusetts.
[10] “Littlewood-Paley Theory: Who Needs It?”; October 28, 2011; colloquium; Department of Mathematics,
Baylor University, Waco, Texas.
[11] “The Buckley and the standard dyadic square functions” (joint work with F. Nazarov); March 13, 2011;
Special Session on Harmonic Analysis, AMS meeting (Statesboro GA).
[12] “Stability and convergence of the Calderón reproducing formula in L p , H 1 , and BMO”; Conference in
Harmonic Analysis in honor of Richard Wheeden’s 70th Birthday; June 17, 2010; Universidad de Sevilla,
Sevilla, Spain.
[13] “Stability and convergence of the Calderón reproducing formula”; March 13, 2009; analysis seminar; Departments
of Mathematics, Concordia University and McGill University, Montreal.
[14] “Stability and convergence of the Calderón reproducing formula”; March 10, 2009; analysis seminar; Department
of Mathematics, University of Wisconsin, Madison.
[15] “Convergence and stability of the Calderón reproducing formula”; October, 2007; Special Session on Harmonic
Analysis, AMS meeting (Albuquerque NM).
[16] “The intrinsic square function”; October, 2006; Special Session on Harmonic Analysis, AMS meeting (Storrs
CT).
[17] “The intrinsic square function”; August, 2006; Harmonic and Geometric Analysis with Applications to
Partial Differential Equations (satellite conference to ICM 2006, Madrid); Sevilla, Spain.
[18] “Four theorems with almost one proof”; January, 2005; analysis seminar, Universitat Autónoma de Barcelona.
[19] “Three lectures on Littlewood-Paley theory”; April, 2005; short course, Universidad de Sevilla.
[20] “Littlewood-Paley theory and applications”; May, 2005; colloquium; Universidad de Sevilla.
[21] “The intrinsic square function”; May, 2005; Encounters in Real and Complex Analysis; Cuenca, Spain.
[22] “Littlewood-Paley theory for non-doubling measures”; May, 2005; analysis seminar; Universidad Autónoma
de Madrid.
[23] “Partial differential equations, probability, and their connections to Littlewood-Paley theory”; May, 2005;
special lecture, Universidad de Sevilla, Sevilla, Spain.
[24] “Some Littlewood-Paley results”; Conference in Honor of Paul Koosis; October 23-26, 2003; University of
Montreal, Montreal, Quebec, Canada.
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[25] “Littlewood-Paley estimates for non-doubling measures”; Sixth New Mexico Analysis Seminar; March 6-8,
2003; University of New Mexico, Albuquerque NM.
[26] “A Littlewood-Paley estimate for almost-orthogonal sums”; April, 2002; analysis seminar, McGill University.
[27] “Inequalities for gradients on non-smooth domains”; May, 2002; Special Session on Harmonic Analysis, AMS
meeting (Montreal, Quebec, Canada).
[28] “Weighted estimates for gradients on non-smooth domains”; October, 2001; Special Session on Harmonic
Analysis, AMS meeting (Williamstown, Massachusetts).
[29] “Littlewood-Paley estimates for sums of almost-orthogonal functions”; November, 2000; Michigan State
University, analysis seminar.
[30] —; October, 2000; Brown University, analysis seminar.
[31] “Inequalities for sums of non-compactly supported wavelets”; June, 2000; Universidad Autonoma de Madrid,
analysis seminar.
[32] “L p − L q weighted norm inequalities for Bergman spaces”; December, 1994; Canadian Mathematical Society
winter meeting (Montreal, Quebec, Canada).
[33] “A two-parameter ‘Bergman space’ inequality”; October, 1994; Auburn Mini-Conference on Harmonic Analysis
(Auburn University, Alabama).
[34] “Littlewood-Paley theory in one and two parameters”; August, 1990; ‘Harmonic Analysis–Sendai, 1990’
(Tohoku University, Sendai, Japan).
[35] ‘An L 2 weighted norm inequality for the Fourier transform”; ‘Harmonic Analysis–Sendai, 1990’ (Tohoku
University, Sendai, Japan).
[36] ‘Cauchy integrals on terrible curves”; March, 1990; Special Session on Singular Integrals, AMS meeting
(Fayetteville, Arkansas).
[37] “Chanillo-Wheeden inequalities for 0 < p ≤ 1”; August, 1989; NSF-CBMS Regional Conference–“Singular
Integral Operators”; University of Montana.
[38] “—”; August, 1989; McGill University, analysis seminar.
[39] “—”; July, 1989; NSF-CBMS Regional Conference–“Harmonic Analysis–Real Function Spaces and Related
Areas”; Auburn University.
[40] “An eigenvalue estimate for the two-parameter Schrödinger operator”; May, 1988; McGill University, Québec,
Canada.
[41] “Some inequalities for singular integrals and degenerate Schrödinger operators”; October, 1987; Workshop on
Weighted Norm Inequalities and Applications; Centre de Recherches Mathématiques, Université de Montréal,
Québec, Canada.
[42] “Weighted inequalities for the square function”; May, 1987; McGill University, Québec, Canada.
[43] “Weighted inequalities for the square function”; July, 1985; AMS Joint Summer Research Conference (Arcata,
California).
[44] “Good-λ inequalities”; October, 1984; Brock University, Ontario, Canada.
[45] “Weighted inequalities without A ∞ ”; October, 1984; McMaster University, Ontario, Canada.
[46] “Some weighted norm inequalities concerning the Schrödinger operators” (joint work with S. Y. A. Chang
and T. H. Wolff; presented by Wolff); November, 1983; Special Session on Harmonic Analysis, AMS meeting
(Northwestern University, Evanston, Illinois).
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[47] “Atomic decompositions for Bergman spaces”; October, 1982; Special Session on Harmonic Analysis, AMS
meeting (University of Maryland, College Park).
[48] “Approximate identities and H 1 (R)”; August, 1982; Special Session on Harmonic Analysis, AMS meeting
(University of Toronto).
Contributed talks.
[1] “Weighted inequalities for the square function”; July, 1987; St. Lawrence University-GTE Conference on
Harmonic Analysis; St. Lawrence University, Canton, New York.
[2] “An eigenvalue estimate for the two-parameter Schrödinger operator”; April, 1988; Conference on Harmonic
Analysis and Applications; Mathematical Sciences Research Institute, Berkeley, California.
[3] “A counterexample in two-parameter harmonic analysis”; June, 1991; Auburn University Mini-Conference
on Harmonic Analysis; Auburn University, Alabama.
[4] “A maximal function with applications to weighted Bergman spaces”; December, 1993; Auburn University
Mini-Conference on Harmonic Analysis; Auburn University, Alabama.
[5] “A two-parameter ‘Bergman space’ inequality”; October, 1994; Auburn University Mini-Conference on
Harmonic Analysis; Auburn University, Alabama.
[6] “L p − L q weighted norm inequalities for Bergman spaces”; December, 1994; Canadian Mathematical Society
winter meeting; Montreal, Quebec, Canada.
[7] “Weighted two-parameter Bergman space inequalities”; November, 1996; Auburn University Mini-Conference
on Harmonic Analysis; Auburn University, Alabama.
[8] “A semi-discrete Littlewood-Paley inequality”; December, 1997; Auburn University Mini-Conference on
Harmonic Analysis; Auburn University, Alabama.
[9] “Recent progress in two-parameter Littlewood-Paley theory”; December, 1999; Auburn University Mini-
Conference on Harmonic Analysis; Auburn University, Alabama.
[10] “Paraproducts and the exponential square class”; July, 2000; Conference on Harmonic Analysis and Partial
Differential Equations; El Escorial, Spain.
[11] “The intrinsic square function”; Ninth New Mexico Analysis Seminar; April, 2006; Albuquerque, New
Mexico.
External Support
[1] Received a research grant from the Spanish Ministerio de Educación, Cultura, y Deporte (SAB2003-0003)
to spend a sabbatical year in Spain; 24,100 euros.
[2] Received National Science Foundation grant (#DMS 9501107), 1995-1997; project title: “Bergman space
inequalities”; $43,160.
[3] Received National Science Foundation grant (#DMS 9401498), 1994-1995; project title: “Bergman space
inequalities”; $20,996.
[4] Received $1,500 grant from the American Mathematical Society for travel to the International Conference
of Mathematicians in Kyoto, Japan (1990).
[5] Received grant of 100,000 yen from Tohoku University (Sendai, Japan) for travel to the conference, “Harmonic
Analysis–Sendai, 1990.”
[6] Received National Science Foundation grant (#DMS 8811775), 1988-1990; project title: “Multi-parameter
harmonic analysis and Littlewood-Paley inequalities”; $17,500.
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[7] Vermont EPSCoR grant; 1987-1990.
[8] Summer Research Fellowship (UCRS); summer, 1987.
[9] Received postdoctoral support from National Science Foundation grant #MCS 8203319 (1982-1983) under
A. P. Calderón.
Professional Service.
[1] External member of PhD Committee for Kanghui Guo, McGill University, Department of Mathematics;
August, 1989.
[2] Official NSF observer for NSF-CBMS Regional Conference, “ Harmonic Analysis–Real Functions Spaces and
Related Areas”; July, 1989.
[3] Member of PhD Committee for Edgar Velez, University of Vermont, Department of Electrical Engineering;
May, 1989.
[4] Co-organizer (with D. Zwick) for Workshop on Approximation by Harmonic and Subharmonic Functions
(held at Stowe); May, 1989.
[5] Member of PhD Committee for Judith Laurens, University of Vermont, Department of Electrical Engineering;
academic year 1991-1992.
[6] Member of PhD Committee for Jon Marozas, University of Vermont, Department of Electrical Engineering;
1991-1997.
[7] Member of PhD Committee for Paul Smith, University of Vermont, Department of Electrical Engineering;
1993-1996.
[8] Reviewer for Mathematical Reviews.
[9] Grant proposal reviewer for NSF.
[10] Co-organizer (with Roger Cooke) of analysis session of 1995 AMS Mathfest.
[11] Member of PhD Committee for Alessandro Palau, University of Vermont, Department of Computer Science;
1995-1997.
[12] Thesis advisor for Robert Poodiack, University of Vermont, Department of Mathematics; 1996-1999.
[13] PhD thesis examiner for Yan Zhang (advisor: Ivo Klemes), Department of Mathematics, McGill University.
[14] Extramural reviewer for David Cruz-Uribe (Trinity College; Hartford, Connecticut).
[15] Extramural reviewer for Cristina Pereyra (University of New Mexico, Albuquerque).
[16] Member of PhD studies committee for Jason Price, University of Vermont, Department of Mathematics.
Departmental Service.
[1] Colloquium committee (chairman; 1988-1995).
[2] Graduate committee (1986-present; chairman, 2007-present).
[3] Calculus textbook committee (1987-1988).
[4] Library committee (1986-present).
[5] Personnel committee (1991-1997, 2000-2001).
[6] Frequent writer/grader of real or complex variables qualifying exams.
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College and University Service.
[1] Participation in incoming students reading program, 1991.
[2] Participation in University Seminar, 1999.
[3] EM College Faculty Standards Committee, 1999-2003; chairman, 2002-2003.
[4] University Honors/Individually Designed Majors Committee, 2000-2001.
[5] Foreign Languages and Mathematics Committee.
Book.
[1] Weighted Littlewood-Paley Theory and Exponential-Square Integrability, Lecture Notes in Mathematics
1924, Springer (2007), New York.
Publications and Papers.
[1] “Bounded variation, convexity, and almost-orthogonality”, in preparation.
[2] “Almost-orthogonal systems and A ∞ measures”, submitted to Pacific J. of Math., which sat on it for 16
months. In the mean time, I proved a better result (see [3] immediately following), which has been submitted
to a memorial volume in honor of Cora Sadosky.
[3] “The necessity of A ∞ for translation and scale invariant almost-orthogonality”, submitted to a memorial
volume in honor of Cora Sadosky.
[4] “The stability of wavelet-like expansions in A ∞ weighted spaces”, in preparation.
[5] “Invariance and stability of almost-orthogonal systems”, to appear in Trans. Amer. Math. Soc..
[6] “Invariance of almost-orthogonal systems between weighted spaces: the non-compact support case”, Indiana
University Mathematics Journal 64 (2015), 275-293.
[7] “The Buckley dyadic square function” (with Fedor Nazarov); in Recent Advances in Harmonic Analysis
and Applications: In honor of Konstantin Oskolkov, Springer Proceedings in Mathematics and Statistics 25
Springer (2012), New York, 287-302.
[8] “Convergence and stability of the Calderón reproducing formula in H 1 and BMO,” Journal of Fourier
Analysis and Applications 17 (2011), 801-820.
[9] “Weighted inequalities for gradients on nonsmooth domains” (with Caroline Sweezy), Dissertationes Mathematicae
471, Institute of Mathematics, Polish Academy of Sciences (2010), Warsaw.
[10] “How fast and in what sense(s) does the Calderón reproducing formula converge?”, Journal of Fourier
Analysis and Applications 16 (2010), 768-785.
[11] “Stability of wavelet-like expansions under chromatic aberration,” Journal of Mathematical Analysis and
Applications 353 (2009), 172–177.
[12] “On a Calderón-Zygmund commutator-type estimate” (with Mirko Tarulli), Journal of Mathematical Analysis
and Applications 347 (2008), 621-632.
[13] “The intrinsic square function,” Revista Matemática Iberoamericana 23 (2007), 771-791.
[14] “Four applications of extrapolation and local exponential estimates to weighted norm inequalities” (with
Carlos Pérez Moreno), submitted for publication (2007).
[15] “Non-Compact Littlewood-Paley Theory for Non-Doubling Measures,” Studia Mathematica 183 (2007),
197-223.
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[16] “Three lectures on Littlewood-Paley theory,” in Seminar of Mathematical Analysis : proceedings, Universities
of Malaga and Seville (Spain), September 2004-June 2005, Universidad de Sevilla (2006?), 207-231.
[17] “Weighted norm inequalities for parabolic gradients on non-smooth domains” (with Caroline Sweezy), International
Journal of Pure and Applied Mathematics 24 (2005), 61-109.
[18] “Weighted inequalities for caloric functions on classical domains” (with Caroline Sweezy), WSEAS Transactions
on Mathematics 3 (2004), 578–583.
[19] “Weighted two-parameter Bergman space inequalities,” Publicaciones Matematiques 47 (2003), 161-193.
[20] “A semi-discrete Littlewood-Paley inequality,” Studia Mathematica 153 (2002), 207-233.
[21] “Paraproducts and the exponential square class,” Journal of Mathematical Analysis and Applications 271
(2002), 374-382.
[22] “Note on a Littlewood-Paley inequality,” Proc. Amer. Math. Soc. 128 (2000), 3609-3612.
[23] “Global orthogonality implies local almost-orthogonality,” Revista Matemática Iberoamericana 16 (2000),
29-48.
[24] “Weighted L q estimates for derivatives of weighted H p functions,” Richard L. Wheeden and J. Michael
Wilson, Journal of Fourier Analysis and Applications 4 (1998), 595-628.
[25] “A two-parameter ‘Bergman space’ inequality,” Proc. Amer. Math. Soc. 125 (1997), 755-762.
[26] “Weighted norm estimates for gradients of half-space extensions” Richard L. Wheeden and J. Michael Wilson,
Indiana University Math. Journal 44 (1995), 917-969.
[27] “Eigenvalue estimates for degenerate partial differential operators,” Rocky Mountain Journal of Math. 25
(1995), 1171-1187.
[28] J. Michael Wilson, Daniel Zwick, “Best approximation by subharmonic functions,” Proc. Amer. Math. Soc.
114 (1992), 897-903.
[29] “A counterexample in two-parameter harmonic analysis,” Bulletin of the London Math. Soc. 23 (1991),
580-582.
[30] “Some two-weight norm inequalities for the Fourier transform,” in the proceedings of ‘Harmonic Analysis–
Sendai, 1990,’ edited by S. Igari (Springer Lecture Notes in Mathematics; 1991), 207-210.
[31] “Littlewood-Paley theory in one and two parameters,” in the proceedings of ‘Harmonic Analysis–Sendai,
1990,’ edited by S. Igari (Springer Lecture Notes in Mathematics; 1991), 201-206.
[32] “Some two-parameter square function inequalities,” Indiana University Math. Journal 40 (1991), 419-442.
[33] “A counterexample in the theory of best approximation,” Journal of Approximation Theory 63 (1990),
384-386.
[34] “Chanillo-Wheeden inequalties for 0 < p ≤ 1,” Journal of the London Math. Soc. 41 (1990), 283-294.
[35] “Weighted inequalities for the square function,” in Commutative Harmonic Analysis: Proceedings of a SLU-
GTE Conference held July 27-29, 1987 (see Contributed Talks above), pp. 299-305; American Mathematical
Society Contemporary Mathematics Series, Volume 91 (1989).
[36] “L p weighted norm inequalities for the square function, 0 < p < 2,” Illinois Journal of Math. 33 (1989),
361-366.
[37] “Weighted norm inequalities for the continuous square function,” Trans. Amer. Math. Soc. 314 (1989),
661-692.
[38] “Green’s theorem and balayage,” Michigan Math. Journal 35 (1988), 21-27.
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[39] “A note on the g-function,” Proc. Amer. Math. Soc. 102 (1988), 381-382.
[40] “Weighted inequalities for the dyadic square function without dyadic A ∞ ,” Duke Math. Journal 55 (1987),
19-49.
[41] “A sharp inequality for the square function,” Duke Math. Journal 55 (1987), 879-888.
[42] S. Y. A. Chang, J. Michael Wilson, Thomas H. Wolff, “Some weighted norm inequalities concerning the
Schrödinger operators,” Comm. Math. Helv. 60 (1985), 217-246.
[43] “On the atomic decomposition for Hardy spaces,” Pacific J. of Math. 116 (1985), 201-207.
[44] Akihito Uchiyama, J. Michael Wilson, “Approximate identities and H 1 (R),” Proc. Amer. Math. Soc. 88
(1983), 53-58.
[45] “A simple proof of the atomic decomposition for H p (R n ), 0 < p ≤ 1,” Studia Math. 74 (1982), 25-33.
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