Curriculum Vitae

Stefanie Petermichl
Dept. of Mathematics
University of Texas at Austin
1 University Stattion C1200
Austin, TX 78712
E-mail: stefanie@math.utexas.edu
web address: www.ma.utexas.edu/users/stefanie/

Education

1991 - 1993
Vordiplom, Mathematics major with minor in Computer Science , University of Karlsruhe, Germany
1993 - 1995
University of Karlsruhe
1995 - 2000
Graduate student, pure Mathematics, Michigan State University
Spring 2000
Ph.D., pure Mathematics, Michigan State University

Professional Experience

2000 - 2001
Visiting research instructor, Michigan State University
2001 - 2002
Member, Institute for Advanced Study
2002 - 2005
Tamarkin Assistant Professor, Brown University
2005 - present
Assistant Professor, University of Texas at Austin

Research Interests

Euclidean harmonic analysis, Several complex variables, Bellman functions and their applications to discrete and continuous inequalities, norm estimates for Calderon-Zygmund operators with matrix and scalar weights, multi-parameter harmonic analysis, elliptic PDE, non-linear problems, multi-parameter harmonic analysis.

Thesis

Title

Some Sharp Estimates Involving the Hilbert Transform

Advisor

Professor Aleksander Volberg

Awards and Fellowships

2006
Salem prize

2003-2007, 2007-2010
NSF research grant

Publications and Papers

  1. Dyadic Shifts and a Logarithmic Estimate for Hankel Operators with Matrix Symbol,
    Comptes Rendus Acad. Sci. Paris, t.330, no.1, pp. 455-460, 2000.

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  2. (with J. Wittwer)
    A Sharp Estimate for Weighted Hilbert Transform via Bellman Functions,
    Mich. Math. J. 50, 2002, pp. 71-87.

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  3. (with S. Pott)
    A Version of Burkholder's Theorem for Operator-weighted Spaces,
    Proc. Amer. Math. Soc, {\bf 131} 2003, no.11 pp.3457--3461.

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  4. (with S. Pott)
    An Estimate for Weighted Hilbert Transform via Square Functions,
    Trans. Amer. Math. Soc 354, 2002, pp. 1699-1703.

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  5. (with A. Volberg)
    Heating of the Beurling Operator: Weakly Quasiregular Maps on the Plane are Quasiregular,
    Duke Math. J. Vol. 112, No 2, 2002, pp. 281-305.

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  6. (with S. Treil, A. Volberg)
    Why are the Riesz Transforms Averages of the Dyadic Shifts?,
    Publ. Mat. Vol. Extra, 2002, pp. 209--228. Proc of the 6th Intern Conf on Harm Analysis, El Escorial, Spain.

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  7. The Sharp Bound for the Hilbert Transform on Weighted Lebesgue Spaces in Terms of the Classical $A_p$ Characteristic,
    to appear Amer. J. Math. , 2006.

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  8. (with O. Dragicevic, C. Pereyra, L. Grafakos)
    Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces,
    Publ. Mat. 49, 2005, no.1, pp. 73--91.

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  9. (with J. Wittwer)
    Heating of the Beurling operator and sufficient conditions for the two-weight case,
    submitted to Studia Math, 2004

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  10. (with S. Treil, B. Wick)
    Carleson potentials and the reproducing kernel thesis for embedding theorems
    to appear Illinois J. Math., 2008

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  11. The sharp weighted bound for the Riesz transforms
    to appear PAMS, 2007

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  12. (with O. Dragicevic, A. Volberg)
    A rotation method which gives linear L^p estimates for powers of the Ahlfors Beurling operator
    J. Math. Pures Appl. (9) 86 2006 no.6

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  13. (with O. Dragicevic, A. Volberg)
    Sharp estimates of martingale transforms in higher dimensions and applications to the Ahlfors Beurling operator,
    preprint, 2006

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  14. A dimensionless weighted bound for the Riesz transforms in R^n
    preprint, 2006

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  15. (with B. Wick)
    A weighted estimate for the square function on the unit ball of C^n
    to appear Ark. Mat., 2007

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  16. (with M. Dindos, J. Pipher)
    The $L^p$ Dirichlet problem for divergence type operators and a $p$-adapted square function
    to appear J. Funct. Anal., 2007

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  17. (with M. Lacey, J. Pipher, B. Wick)
    Higher order Riesz commutators
    submitted to AJM, 2007

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Invited Lectures and Seminar Talks

Jan. 2000
AMS annual meeting, Washington DC
Feb. 2000
University of Chicago, Chicago, IL
Apr. 2000
Wayne State University, Detroit, MI
Apr. 2000
University of Michigan, Ann Arbor, MI
May 2000
Universitaet Karlsruhe, Karlsruhe, Germany
Jul. 2000
Linear analysis and probability workshop, Texas A & M, College Station, TX
Oct. 2000
Rajchman-Zygmund-Marcinkiewicz Symposium, Bedlewo, Poland
Mar. 2001
University of Michigan, Ann Arbor, MI
Jun. 2001
AMS conference on Harmonic Analysis, Mount Holyoke, MA
Aug. 2002
Euler Institute, St. Petersburg, Russia
Apr. 2002
Brown University, Providence, RI
Jun. 2003
First Joint Meeting of RSME and AMS, in Seville, Spain
Jul. 2003
Park City Mathematics Institute, Park City, UT
Jan. 2004
TU Chemnitz, Chemnitz, Germany
Aug. 2004
Summer school on Integrable systems, Lake Arrowhead, CA
Jun. 2005
AMS-DMV- OMG meeting, Mainz, Germany
Jul. 2005
MFO Oberwolfach, Germany
Oct. 2005
Edinburgh, UK
Oct. 2005
North British functional anaysis seminar lecture series, Glasgow, UK
Apr. 2006
AMS sectional meeting, Notre Dame, IN
Jun. 2006
CIRM Marseille, France
Jun. 2006
HARP, Crete, Greece
Aug. 2006
Satellite Conference to the ICM-2006 Madrid, Sevilla, Spain
Oct. 2006
AMS sectional meeting, Salt Lake City, UT
Oct. 2006
Bordeaux, France
Nov. 2006
Michigan State University, East Lansing, MI