Publications of Michael Greenblatt
Stability of oscillatory integral asymptotics in two dimensions.
J. Geom. Anal.,
24(1):417--444, 2014.
MR3145929
$L^p$ boundedness of maximal averages over hypersurfaces in $\mathbb{R}^3$.
Trans. Amer. Math. Soc.,
365(4):1875--1900, 2013.
MR3009647
$L^p$ boundedness of maximal averages over hypersurfaces in $\mathbb R^3$.
Transactions of the AMS ,
365:1875-1900, 2013.
Two-dimensional resolution of singularities and fourier transforms of surface measures.
2013.
Maximal averages over hypersurfaces and the Newton polyhedron.
J. Funct. Anal.,
262(5):2314--2348, 2012.
MR2876407
Stability of oscillatory integral asymptotics in two dimensions.
Journal of Geometric Analysis, DOI 10.1007/s12220-012-9341-1. 2012.
An elementary resolution of singularities algorithm.
2012.
Applications of an elementary resolution of singularities algorithm to exponential sums and congruences modulo $p^n$.
2012.
Resolution of singularities in two dimensions and the stability of integrals.
Adv. Math.,
226(2):1772--1802, 2011.
MR2737800
Maximal averages over hypersurfaces and the newton polyhedron.
Journal of Functional Analysis,
262(5):35, 2011.
Oscillatory integral decay, sublevel set growth, and the Newton polyhedron.
Math. Ann.,
346(4):857--895, 2010.
MR2587095
Resolution of singularities, asymptotic expansions of integrals and related phenomena.
J. Anal. Math.,
111:221--245, 2010.
MR2747065
The asymptotic behavior of degenerate oscillatory integrals in two dimensions.
J. Funct. Anal.,
257(6):1759--1798, 2009.
MR2540991
Simply nondegenerate multilinear oscillatory integral operators with smooth phase.
Math. Res. Lett.,
15(4):653--660, 2008.
MR2424903
An elementary coordinate-dependent local resolution of singularities and applications.
J. Funct. Anal.,
255(8):1957--1994, 2008.
MR2462583
A $T(1)$ theorem for singular Radon transforms.
Math. Ann.,
339(3):599--626, 2007.
MR2336061
An analogue to a theorem of Fefferman and Phong for averaging operators along curves with singular fractional integral kernel.
Geom. Funct. Anal.,
17(4):1106--1138, 2007.
MR2373012
Newton polygons and local integrability of negative powers of smooth functions in the plane.
Trans. Amer. Math. Soc.,
358(2):657--670 (electronic), 2006.
MR2177034
Detecting terrorist activities in the 21st century: a theory of detection for transactional networks.
In 21st century enabling technologies and policies for counter-terrorism,
pages 349-366. Wiley IEEE , 2006.
Stability of sublevel set estimates and sharp $L^ 2$ regularity of Radon transforms in the plane.
Math. Res. Lett.,
12(1):1--17, 2005.
MR2122725
Sharp $L^ 2$ estimates for one-dimensional oscillatory integral operators with $C^ \infty$ phase.
Amer. J. Math.,
127(3):659--695, 2005.
MR2141648
Metrics and smoothing of translation-invariant Radon transforms along curves.
J. Funct. Anal.,
206(2):307--321, 2004.
MR2021849
A direct resolution of singularities for functions of two variables with applications to analysis.
J. Anal. Math.,
92:233--257, 2004.
MR2072748
A method for proving $L^ p$-boundedness of singular Radon transforms in codimension 1.
Duke Math. J.,
108(2):363--393, 2001.
MR1833395
Boundedness of singular Radon transforms on $L^ p$ spaces under a finite-type condition.
Amer. J. Math.,
123(6):1009--1053, 2001.
MR1867310