Publications (77)
Pinned distance sets, Wolff's exponent in finite fields and improved sum-product estimates
Derrick Hart, Alex Iosevich
Bilinear generalized Radon transforms in the plane
Allan Greenleaf, Alex Iosevich, Ben Krause +1
A multi-parameter variant of the ErdÅs distance problem
Alex Iosevich, Maria Janczak, Jonathan Passant
Generalized incidence theorems, homogeneous forms, and sum-product estimates in finite fields
David Covert, Derrick Hart, Alex Iosevich +2
Sums and products in finite fields: an integral geometric viewpoint
Derrick Hart, Alex Iosevich
A Furstenberg-Katznelson-Weiss type theorem on (d + 1)-point configurations in sets of positive density in finite field geometries
David Covert, Derrick Hart, Alex Iosevich +2
An analog of the Furstenberg-Katznelson-Weiss theorem on triangles in sets of positive density in finite field geometries
David Covert, Derrick Hart, Alex Iosevich +1
Fourier bases and a distance problem of Erd\H os
Alex Iosevich, Nets Katz, Steen Pedersen
Elementary methods for incidence problems in finite fields
Javier Cilleruelo, Alex Iosevich, Ben Lund +2
Extension Theorems for Spheres in the Finite Field Setting
Alex Iosevich, Doowon Koh
On volumes determined by subsets of Euclidean space
Allan Greenleaf, Alex Iosevich, Mihalis Mourgoglou
Falconer distance problem, additive energy and Cartesian products
Alex Iosevich, Bochen Liu
The discrepancy of a needle on a checkerboard, II
Alex Iosevich, Mihail N. Kolountzakis
Ubiquity of simplices in subsets of vector spaces over finite fields
Derrick Hart, Alex Iosevich
How large are the spectral gaps?
Alex Iosevich, Steen Pedersen
Intersections of sets, diophantine equations and Fourier analysis
Suresh Eswarathasan, Alex Iosevich, Krystal Taylor
Finite Chains inside Thin Subsets of ${\Bbb R}^d$
Mike Bennett, Alex Iosevich, Krystal Taylor
Covering the plane by rotations of a lattice arrangement of disks
Alex Iosevich, Mihail N. Kolountzakis, Mate Matolcsi
Pinned distance sets, k-simplices, Wolff's exponent in finite fields and sum-product estimates
Jeremy Chapman, M. Burak Erdogan, Derrick Hart +2
Fourier transform, $L^2$ restriction theorem, and scaling
Alex Iosevich
A new perspective on the distance problem over prime fields
Alex Iosevich, Doowon Koh, Thang Pham
Gabor orthogonal bases and convexity
Alex Iosevich, Azita Mayeli
Equilateral triangles in subsets of ${\Bbb R}^d$ of large Hausdorff dimension
Alex Iosevich, Bochen Liu
Direction sets, Lipschitz graphs and density
Alex Iosevich, Jonathan Pakianathan
Distances sets that are a shift of the integers and Fourier basis for planar convex sets
Alex Iosevich, Philippe Jaming
Measures of polynomial growth and classical convolution inequalities
Alex Iosevich, Ben Krause, Eric Sawyer +2
On discrete values of bilinear forms
Alex Iosevich, Oliver Roche-Newton, Misha Rudnev
On angles determined by fractal subsets of the Euclidean space via Sobolev bounds for bi-linear operators
Alex Iosevich, Mihalis Mourgoglou, Eyvindur Palsson
Finite trees inside thin subsets of ${\Bbb R}^d$
Alex Iosevich, Krystal Taylor
Size of orthogonal sets of exponentials for the disk
Alex Iosevich, Mihail N. Kolountzakis
Pinned distance problem, slicing measures and local smoothing estimates
Alex Iosevich, Bochen Liu
Areas of triangles and Beck's theorem in planes over finite fields
Alex Iosevich, Misha Rudnev, Yujia Zhai
Three-point configurations determined by subsets of $\mathbb{F}_q^2$ via the Elekes-Sharir paradigm
Michael Bennett, Alex Iosevich, Jonathan Pakianathan
On sets of directions determined by subsets of ${\Bbb R}^d$
Alex Iosevich, Mihalis Mourgoglou, Steven Senger
On three point configurations determined by subsets of the Euclidean plane, the associated bilinear operator and applications to discrete geometry
Allan Greenleaf, Alex Iosevich
Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdos-Falconer distance conjecture
Derrick Hart, Alex Iosevich, Doowon Koh +1
Distance graphs in vector spaces over finite fields, coloring and pseudo-randomness
Derrick Hart, Alex Iosevich, Doowon Koh +2
Theory of dimension for large discrete sets and applications
Alex Iosevich, Misha Rudnev, Ignacio Uriarte-Tuero
Convex bodies with a point of curvature do not have Fourier bases
Alex Iosevich, Nets Hawk Katz, Terence Tao
Pinned geometric configurations in Euclidean space and Riemannian manifolds
Alex Iosevich, Krystal Taylor, Ignacio Uriarte-Tuero
Spectral and Tiling properties of the Unit Cube
Alex Iosevich, Steen Pedersen
The Fuglede Conjecture holds in ${\Bbb Z}_p \times {\Bbb Z}_p$
Alex Iosevich, Azita Mayeli, Jonathan Pakianathan
A universal Stein-Tomas restriction estimate for measures in three dimensions
Alex Iosevich, Svetlana Roudenko
A new bound on ErdÅs distinct distances problem in the plane over prime fields
Alex Iosevich, Doowon Koh, Thang Pham +2
Geometric configurations in the ring of integers modulo $p^{\ell}$
David Covert, Alex Iosevich, Jonathan Pakianathan
On an application of Guth-Katz theorem
Alex Iosevich, Oliver Roche-Newton, Misha Rudnev
On Falconer's distance set problem in the plane
Larry Guth, Alex Iosevich, Yumeng Ou +1
Multilinear generalized Radon transforms and point configurations
Loukas Grafakos, Allan Greenleaf, Alex Iosevich +1
Maximal averages over flat radial hypersurfaces
Alex Iosevich
Exponential bases, Paley-Wiener spaces and applications
Alex Iosevich, Azita Mayeli
Embedding distance graphs in finite field vector spaces
Alex Iosevich, Hans Parshall
On directions determined by subsets of vector spaces over finite fields
Alex Iosevich, Hannah Morgan, Jonathan Pakianathan
Erdos distance problem in vector spaces over finite fields
Alex Iosevich, Misha Rudnev
Extension Theorems for Paraboloids in the Finite Field Setting
Alex Iosevich, Doowon Koh
Fourier integral operators, fractal sets and the regular value theorem
Suresh Eswarathasan, Alex Iosevich, Krystal Taylor
Group actions and a multi-parameter Falconer distance problem
Kyle Hambrook, Alex Iosevich, Alex Rice
On distance measures for well-distributed sets
Alex Iosevich, Misha Rudnev
On the Mattila-Sjolin theorem for distance sets
Alex Iosevich, Mihalis Mourgoglou, Krystal Taylor
Finite field restriction estimates for the paraboloid in high even dimensions
Alex Iosevich, Doowon Koh, Mark Lewko
A variant of Waring's Problem for the ring of integers modulo n
David Covert, Alex Iosevich, Jonathan Pakianathan
Periodicity of the spectrum in dimension one
Alex Iosevich, Mihail N. Kolountzakis
Tight Wavelet Frame Sets in Finite Vector Spaces
Alex Iosevich, Chun-Kit Lai, Azita Mayeli
Lattice points close to families of surfaces, non-isotropic dilations and regularity of generalized Radon transforms
Alex Iosevich, Krystal Taylor
Fourier frames for surface-carried measures
Alex Iosevich, Chun-Kit Lai, Bochen Liu +1
Extension theorems for the Fourier transform associated with non-degenerate quadratic surfaces in vector spaces over finite fields
Alex Iosevich, Doowon Koh
Erdos-Falconer distance problem, exponential sums, and Fourier analytic approach to incidence theorems in vector spaces over finite fields
Alex Iosevich, Doowon Koh
A Weyl type formula for Fourier spectra and frames
Alex Iosevich, Mihail N. Kolountzakis
Some sharp restriction theorems for homogeneous manifolds
Laura DeCarli, Alex Iosevich
Fuglede conjecture holds for convex planar domains
Alex Iosevich, Nets Katz, Terry Tao
Orthogonal systems in vector spaces over finite fields
Alex Iosevich, Steve Senger
An elementary approach to simplexes in thin subsets of Euclidean space
Allan Greenleaf, Alex Iosevich, Bochen Liu +1
Distinct distances on a sphere
Alex Iosevich, Mischa Rudnev
A two-parameter finite field ErdÅs-Falconer distance problem
Philipp Birklbauer, Alex Iosevich
On the unit distance problem
Alex Iosevich
Sharpness of Falconer's estimate in continuous and arithmetic settings, geometric incidence theorems and distribution of lattice points in convex domains
Alex Iosevich, Steven Senger
Restricted convolution inequalities, multilinear operators and applications
Dan-Andrei Geba, Allan Greenleaf, Alex Iosevich +2
On necklaces inside thin subsets of ${\Bbb R}^d$
Allan Greenleaf, Alex Iosevich, Malabika Pramanik