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Izabella Laba  Publications
Books/
Research/
Expository/
Beyond math
Please note that the copyright to most of the works listed below belongs to the publishers. The versions
posted here or on the arXiv are not necessarily final.
Books, authored and edited
 "Lectures in Harmonic Analysis",
by Tom Wolff, edited by myself and Carol Shubin,
AMS University Lecture Series, vol. 29, 2003.

"Multiparticle
Quantum Scattering in Constant Magnetic Fields",
with Christian Gerard,
AMS Mathematical Surveys and Monographs, vol. 90, 2002.
Research articles

"Maximal operators and decoupling for $\Lambda(p)$ Cantor measures",
August 2018.

"On the maximal directional Hilbert transform,"
with Alessandro Marinelli and Malabika Pramanik,
revised. May 2018. Accepted for publication in Analysis Mathematica.

"Decoupling and nearoptimal restriction estimates for Cantor sets,"
with Hong Wang,
Int. Math. Res. Notices 2018, no. 9, 29442966.
final version available here)

"A discrete Carleson theorem along the primes with a restricted supremum,"
with Laura Cladek, Kevin Henriot, Ben Krause and Malabika Pramanik,
Math. Zeitschrift 289 (2018), 10331057,
final version available here

"On polynomial configurations in fractal sets,"
with Kevin Henriot and Malabika Pramanik, Analysis & PDE 95 (2016), 11531184

"Sharpness of the MockenhauptMitsisBakSeeger restriction theorem in higher dimensions,"
with Kyle Hambrook, Bull. London Math. Soc. 48(5) (2016), 757770.
final version available here.

"Finite configurations in sparse sets",
with Vincent Chan and Malabika Pramanik, J. Anal. Math. 128 (2016), 289335.

"Quantitative visibility estimates for unrectifiable sets in the plane",
with Matthew Bond and Joshua Zahl,
Trans. Amer. Math. Soc. 368 (2016), 54755513.

"Buffon's needle estimates for rational product Cantor sets",
with Matthew Bond and Alexander Volberg, Amer. J. Math. 136 (2014), 357391.

"On the sharpness of Mockenhaupt's restriction theorem",
with Kyle Hambrook, Geom. Funct. Anal. 23 (2013), 12621277.
The final publication is available
here.

"Arithmetic progressions in sumsets and L^{p}almostperiodicity",
with Ernie Croot and Olof Sisask, Combinatorics, Probability and Computing 22 (2013), 351365.

"Maximal operators and differentiation theorems for sparse sets",
with Malabika Pramanik, Duke Math. J. 158 (2011), 347411.
Here's an extended version including an appendix
with additional material.

"The Favard length of product Cantor sets",
with Kelan Zhai,
Bull. London Math. Soc. 42 (2010), 9971009.
The final publication is available
here.

"Arithmetic progressions in sets of fractional dimension",
with Malabika Pramanik,
Geom. Funct. Anal. 19 (2009), 429456.
The final publication is available
here.

"Geometric incidence theorems via Fourier analysis",
with Alex Iosevich and Hadi Jorati, Trans.
Amer. Math. Soc. 361 (2009), 65956611.

"Arithmetic structures in random sets",
with Mariah Hamel,
Integers: Electronic Journal of
Combinatorial Number Theory 8 (2008), #A4.

"Incidence theorems for pseudoflats",
with Jozsef Solymosi, Discr. Comp. Geom. 37 (2007), 163174.

"Some properties of spectral measures",
with Yang Wang, Appl. Comp. Harmonic
Analysis 20 (2006), 149157.

"Wolff's inequality for hypersurfaces",
with Malabika Pramanik,
Proceedings of the 7th International Conference on
Harmonic Analysis and Partial Differential Equations, El Escorial,
Madrid, 2004 (published by
Collectanea Mathematica, Vol. Extra (2006), 293326,
http://www.imub.ub.es/collect/ElEscorial.html)

"Distance sets of welldistributed planar sets for polygonal norms",
with Sergei Konyagin, Israel J. Math. 152 (2006), 157179.

"Falconer's distance set conjecture for polygonal norms",
with Sergei Konyagin, Proceedings of the Harmonic Analysis and its
Applications at Sapporo, A. Miyachi and K. Tachizawa, eds.,
Hokkaido University, Sapporo, 2005, pp. 4355.

"Kdistance sets, Falconer conjecture, and discrete analogs",
with Alex Iosevich, Integers: Electronic
Journal of Combinatorial Number Theory, 5(2) (2005), #A08. A hardcopy edition
of this volume is also available: Topics in Combinatorial Number Theory: Proceedings
of the Integers Conference 2003 in Honor of Tom Brown, DIMATIA, ITI Series, vol. 261,
dimatia@kam.mff.cuni.cz.

"Distance sets of welldistributed planar point sets",
with Alex Iosevich,
Discr. Comp. Geom. 31 (2004), 243250.

"Tiling and spectral properties of nearcubic domains",
with Mihalis Kolountzakis,
Studia Math. 160 (2004), 287299.

"Spectra of certain types of polynomials and tiling of integers with
translates of finite sets",
with Sergei Konyagin,
J. Number Theory 103 (2003), 267280.

"A local smoothing estimate in higher dimensions",
with Tom Wolff,
J. d'Analyse Math. 88 (2002), 149171.

"On spectral Cantor measures",
with Yang Wang,
J. Funct. Anal. 193 (2002), 409420.

"A characterization of finite sets that tile the integers",
with Andrew Granville and Yang Wang, September 2001.

"The spectral set conjecture and multiplicative properties
of roots of polynomials",
J. London Math. Soc. 65 (2002), 661671

"An improved bound on the Minkowski dimension of Besicovitch sets
in medium dimension",
with Terence Tao,
Geom. Funct. Anal. 11 (2001), 773806

"Fuglede's conjecture for a union of two intervals",
Proc. AMS 129 (2001), 29652972.

"An xray transform estimate in R^n",
with Terence Tao,
Revista Mat. Iberoamericana 17 (2001), 375407

"An improved bound on the Minkowski dimension of Besicovitch sets
in R^3",
with Nets Hawk Katz and Terence Tao,
Annals of Math. 152 (2000), 383446. The version posted here is
the original version from February 1999.

"Global existence and scattering for the nonlinear Schrodinger
equation on Schwarzschild manifolds",
with Avy Soffer,
Helv. Phys. Acta 72 (1999), 274294.

"Scattering theory for 3particle systems in constant magnetic fields:
dispersive case", with Christian Gerard, Ann. Inst. Fourier (Grenoble)
46 (1996), 801876.

"Scattering theory for Nparticle systems in constant magnetic fields,
II: Longrange interactions", with Christian Gerard, Commun. Part.
Diff. Eq. 20 (1995), 17911830.

"Scattering theory for Nparticle systems in constant magnetic fields",
with Christian Gerard, Duke Math. J. 76 (1994), 433466.

"Scattering for hydrogenlike systems in a constant magnetic field",
Comm. Part. Diff. Eq. 20 (1995), 741762.

"Longrange oneparticle scattering in a homogeneous magnetic field",
Duke Math. J. 70 (1993), 283303.
Expository articles and lecture slides

Slides from my Etta Z. Falconer lecture, Mathfest, 2016

"Polynomial configurations in fractal sets": I don't have a proper expository paper on my work
on configurations in fractals (joint with Vincent Chan, Kevin Henriot and Malabika Pramanik),
but here is my set of slides from ICERM, February 2016.

"Harmonic analysis and the geometry of fractals",
Proceedings of the 2014 International Congress of Mathematicians,
Seoul, 2014. Update, August 2014: the slides of my talk are available here.

"Recent progress on Favard length estimates for planar Cantor sets",
in: OperatorRelated Function Theory and TimeFrequency Analysis,
Proceedings of the 2012 Abel Symposium, K. Grochenig, Y. Lyubarskii, K. Seip, eds.,
Springer 2015, pp. 117145.

"Buffon's needle estimates and vanishing sums of roots of unity",
CMS Notes, 44 (2012), no. 6, 1617.

"From harmonic analysis to arithmetic combinatorics",
July 2007 (revised version), Bull. Amer. Math. Soc. 45 (2008), 77115.
(A shorter version
was published in the 2007 AMS Current Events Bulletin booklet, see
also errata).

"From harmonic analysis to arithmetic combinatorics: a brief
survey", July 2006,
to appear in the proceedings of the MSRI workshop
"Women in Mathematics:
the legacy of Ladyzhenskaya and Oleinik".

"On sets of integers not containing long arithmetic progressions",
with Michael Lacey, October 2001.
After completing this paper, we learned that the result was not new;
the journal submission has been withdrawn, but I thought it useful to
leave the paper here as an expository note.

"Multiparticle quantum systems in constant magnetic fields",
in: Multiparticle Quantum Scattering With Applications to Nuclear,
Atomic and Molecular Physics, D. Truhlar and B. Simon, eds.,
IMA Volumes in Mathematics and its Applications, Vol. 89,
SpringerVerlag 1997, 147215.
Beyond mathematics

"Photography",
in "Art in the Life of Mathematicians," Anna Kepes Szemeredi, ed., AMS, 2015, pp. 138163.
This is the final version of the text of my chapter, without the photographs.
(For a selection of my photography, see
my Google+ page.)
All of my papers since 1999 are also posted on the
ArXiv.
If you have any problems with downloading or printing out the files,
or if you would like to have a hard copy mailed to you, please let me know.
