| Publication | Date of Publication | Type |
|---|
| Improved incidence bounds over arbitrary finite fields via the VC-dimension theory | 2024-03-26 | Paper |
| Nonempty interior of configuration sets via microlocal partition optimization | 2024-03-19 | Paper |
| Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres | 2024-02-09 | Paper |
| Simplices in thin subsets of Euclidean spaces | 2024-01-09 | Paper |
| A distinction between the paraboloid and the sphere in weighted restriction | 2023-12-20 | Paper |
| $L^p$ integrability of functions with Fourier support on a smooth space curve | 2023-11-19 | Paper |
| Uncertainty Principles on Finite Abelian Groups, Restriction Theory, and Applications to Sparse Signal Recovery | 2023-11-07 | Paper |
| On k ‐point configuration sets with nonempty interior | 2023-09-15 | Paper |
| Generalized point configurations in ${\mathbb F}_q^d$ | 2023-08-21 | Paper |
| Improved bounds for embedding certain configurations in subsets of vector spaces over finite fields | 2023-08-17 | Paper |
| VC-Dimension of Hyperplanes over Finite Fields | 2023-07-19 | Paper |
| A singular variant of the Falconer distance problem | 2023-06-08 | Paper |
| An improved point-line incidence bound over arbitrary finite fields via the VC-dimension theory | 2023-03-01 | Paper |
| The quotient set of the quadratic distance set over finite fields | 2023-01-27 | Paper |
| Approximate orthogonality, Bourgain's pinned distance theorem and exponential frames | 2023-01-22 | Paper |
| Multi-linear forms, graphs, and $L^p$-improving measures in ${\Bbb F}_q^d$ | 2023-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5056639 | 2022-12-08 | Paper |
| Rigidity, Graphs and Hausdorff Dimension | 2022-11-18 | Paper |
| Dot products in \(\mathbb{F}_q^3\) and the Vapnik-Chervonenkis dimension | 2022-11-02 | Paper |
| VC-Dimension and Distance Chains in $\mathbb{F}_q^d$ | 2022-10-06 | Paper |
| Fractal dimension, approximation and data sets | 2022-09-24 | Paper |
| Uniform distribution and geometric incidence theory | 2022-09-23 | Paper |
| Pinned simplices and connections to product of sets on paraboloids | 2022-08-21 | Paper |
| Dot products in ${\Bbb F}_q^3$ and the Vapnik-Chervonenkis dimension | 2022-03-06 | Paper |
| Simplex averaging operators: quasi-Banach and \(L^p\)-improving bounds in lower dimensions | 2022-02-10 | Paper |
| Fourier Frames for Surface-Carried Measures | 2022-02-08 | Paper |
| A multi-linear geometric estimate | 2021-12-01 | Paper |
| Cycles of arbitrary length in distance graphs on \(\mathbb{F}_q^d\) | 2021-10-19 | Paper |
| Sums of Powers in Large Finite Fields: A Mix of Methods | 2021-09-27 | Paper |
| Weyl law improvement for products of spheres | 2021-09-09 | Paper |
| Configuration sets with nonempty interior | 2021-08-31 | Paper |
| The VC-dimension and point configurations in ${\Bbb F}_q^2$ | 2021-08-30 | Paper |
| An improved result for Falconer's distance set problem in even dimensions | 2021-08-27 | Paper |
| Falconer-type estimates for dot products | 2021-08-24 | Paper |
| On Restriction Estimates for the Zero Radius Sphere over Finite Fields | 2021-07-07 | Paper |
| On Gabor orthonormal bases over finite prime fields | 2021-07-02 | Paper |
| Existence of similar point configurations in thin subsets of \(\mathbb{R}^d\) | 2021-01-29 | Paper |
| Cycles of arbitrary length in distance graphs on $\mathbb{F}_q^d$ | 2021-01-03 | Paper |
| On complete and incomplete exponential systems | 2020-07-15 | Paper |
| On the Approximate Unit Distance Problem | 2020-06-29 | Paper |
| New bounds for distance-type problems over prime fields | 2020-04-09 | Paper |
| Finite field restriction estimates for the paraboloid in high even dimensions | 2020-03-12 | Paper |
| A new bound for the Erdős distinct distances problem in the plane over prime fields | 2020-03-10 | Paper |
| On Falconer's distance set problem in the plane | 2020-01-29 | Paper |
| Embedding distance graphs in finite field vector spaces | 2019-12-05 | Paper |
| A two-parameter finite field Erd\H{o}s-Falconer distance problem | 2019-11-22 | Paper |
| Direction sets, Lipschitz graphs and density | 2019-11-22 | Paper |
| Wavelet decomposition and bandwidth of functions defined on vector spaces over finite fields | 2019-11-22 | Paper |
| Microlocal decoupling inequalities and the distance problem on Riemannian manifolds | 2019-09-11 | Paper |
| The mean square discrepancy in the circle problem | 2019-08-19 | Paper |
| Finite point configurations in the plane, rigidity and Erdős problems | 2019-06-21 | Paper |
| Equilateral triangles in subsets of \(\mathbb{R}^d\) of large Hausdorff dimension | 2019-06-18 | Paper |
| What is Falconer's Conjecture? | 2019-06-11 | Paper |
| On the quotient set of the distance set | 2019-06-06 | Paper |
| A new perspective on the distance problem over prime fields | 2019-05-10 | Paper |
| Book review of: P. Mattila, Fourier analysis and Hausdorff dimension | 2019-03-12 | Paper |
| Finite trees inside thin subsets of ${\Bbb R}^d$ | 2019-03-06 | Paper |
| Pinned distance problem, slicing measures, and local smoothing estimates | 2019-03-05 | Paper |
| Group actions and geometric combinatorics in \(\mathbb{F}_{q}^{d}\) | 2019-02-01 | Paper |
| Distances from points to planes | 2019-01-30 | Paper |
| Gabor orthogonal bases and convexity | 2019-01-09 | Paper |
| Tight wavelet frame sets in finite vector spaces | 2018-10-29 | Paper |
| An improved dimensional threshold for the angle problem | 2018-07-14 | Paper |
| On necklaces inside thin subsets of \(\mathbb{R}^d\) | 2018-03-29 | Paper |
| A multi-parameter variant of the Erd\H{o}s distance problem | 2017-12-11 | Paper |
| Rigidity, graphs and Hausdorff dimension | 2017-08-19 | Paper |
| The square root law and structure of finite rings | 2017-07-27 | Paper |
| On angles determined by fractal subsets of the Euclidean space | 2017-05-24 | Paper |
| The Fuglede conjecture holds in \(\mathbb{Z}_p\times \mathbb{Z}_p\) | 2017-05-15 | Paper |
| Group actions and a multi-parameter Falconer distance problem | 2017-05-10 | Paper |
| Bilinear generalized Radon transforms in the plane | 2017-04-03 | Paper |
| Elementary methods for incidence problems in finite fields | 2017-01-25 | Paper |
| Pinned geometric configurations in Euclidean space and Riemannian manifolds | 2016-10-02 | Paper |
| Areas of triangles and Beck's theorem in planes over finite fields | 2016-09-09 | Paper |
| A variant of Waring's Problem for the ring of integers modulo n | 2016-09-07 | Paper |
| An elementary approach to simplexes in thin subsets of Euclidean space | 2016-08-16 | Paper |
| Falconer distance problem, additive energy and Cartesian products | 2016-07-15 | Paper |
| Sharpness of Falconer's (d+1)/2 estimate | 2016-07-15 | Paper |
| Finite chains inside thin subsets of \(\mathbb{R}^d\) | 2016-07-04 | Paper |
| Intersections of sets and Fourier analysis | 2016-04-29 | Paper |
| LONG PATHS IN THE DISTANCE GRAPH OVER LARGE SUBSETS OF VECTOR SPACES OVER FINITE FIELDS | 2016-03-11 | Paper |
| Book Review: Sets of finite perimeter and geometric variational problems. An introduction to geometric measure theory | 2015-11-10 | Paper |
| A group-theoretic viewpoint on Erdös-Falconer problems and the Mattila integral | 2015-11-03 | Paper |
| Sharpness of Falconer’s Estimate and the Single Distance Problem in $$\mathbb{Z}_{q}^{d}$$ | 2015-07-23 | Paper |
| Multilinear generalized Radon transforms and point configurations | 2015-07-15 | Paper |
| Three-point configurations determined by subsets of \({\mathbb{F}_q}^2\) via the Elekes-Sharir paradigm | 2015-05-07 | Paper |
| On volumes determined by subsets of Euclidean space | 2015-01-19 | Paper |
| Theory of Dimension for Large Discrete Sets and Applications | 2014-12-10 | Paper |
| Exponential bases, Paley-Wiener spaces and applications | 2014-12-02 | Paper |
| Measures of polynomial growth and classical convolution inequalities | 2014-10-06 | Paper |
| On necklaces inside thin subsets of ${\Bbb R}^d$ | 2014-09-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5494785 | 2014-07-30 | Paper |
| Restricted convolution inequalities, multilinear operators and applications | 2014-05-08 | Paper |
| Geometric configurations in the ring of integers modulo p^{ell} | 2013-12-10 | Paper |
| Periodicity of the spectrum in dimension one | 2013-09-27 | Paper |
| On an application of Guth-Katz theorem | 2013-08-05 | Paper |
| Multiparameter Projection Theorems with Applications to Sums-Products and Finite Point Configurations in the Euclidean Setting | 2013-07-23 | Paper |
| Distance Graphs in Vector Spaces Over Finite Fields | 2013-07-23 | Paper |
| On sets of directions determined by subsets of \(\mathbb R^d\) | 2013-07-11 | Paper |
| Size of orthogonal sets of exponentials for the disk | 2013-06-17 | Paper |
| Decay of the Fourier Transform | 2013-06-13 | Paper |
| On triangles determined by subsets of the Euclidean plane, the associated bilinear operators and applications to discrete geometry | 2013-05-24 | Paper |
| Intersections of sets, diophantine equations and Fourier analysis | 2013-04-24 | Paper |
| Sums and products in finite fields: an integral geometric viewpoint | 2013-02-03 | Paper |
| On the Mattila-Sjölin theorem for distance sets | 2012-12-08 | Paper |
| Pinned distance sets, \(k\)-simplices, Wolff's exponent in finite fields and sum-product estimates | 2012-06-26 | Paper |
| Lattice points close to families of surfaces, nonisotropic dilations and regularity of generalized Radon transforms | 2012-05-10 | Paper |
| On Directions Determined by Subsets of Vector Spaces over Finite Fields | 2012-01-04 | Paper |
| On angles determined by fractal subsets of the Euclidean space via Sobolev bounds for bi-linear operators | 2011-10-31 | Paper |
| Fourier integral operators, fractal sets, and the regular value theorem | 2011-10-28 | Paper |
| Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture | 2011-06-01 | Paper |
| A Universal Stein-Tomas Restriction Estimate for Measures in Three Dimensions | 2011-05-06 | Paper |
| The discrepancy of a needle on a checkerboard, II | 2011-03-18 | Paper |
| A Furstenberg-Katznelson-Weiss type theorem on \((d+1)\)-point configurations in sets of positive density in finite field geometries | 2011-02-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3066502 | 2011-01-11 | Paper |
| Extension theorems for paraboloids in the finite field setting | 2010-09-21 | Paper |
| Extension theorems for spheres in the finite field setting | 2010-06-08 | Paper |
| Sharpness of Falconer's estimate in continuous and arithmetic settings, geometric incidence theorems and distribution of lattice points in convex domains | 2010-06-07 | Paper |
| Sets with integral distances in finite fields | 2010-04-13 | Paper |
| The Erdös–Falconer Distance Problem, Exponential Sums, and Fourier Analytic Approach to Incidence Theorems in Vector Spaces over Finite Fields | 2010-03-17 | Paper |
| Distance sets that are a shift of the integers and Fourier basis for planar convex sets | 2009-12-29 | Paper |
| Generalized incidence theorems, homogeneous forms and sum-product estimates in finite fields | 2009-12-01 | Paper |
| Geometric incidence theorems via Fourier analysis | 2009-11-24 | Paper |
| Extension theorems for the Fourier transform associated with nondegenerate quadratic surfaces in vector spaces over finite fields | 2009-10-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3626822 | 2009-05-22 | Paper |
| On Rapid Generation of SL2(𝔽 q ) | 2009-05-06 | Paper |
| FREIMAN THEOREM, FOURIER TRANSFORM AND ADDITIVE STRUCTURE OF MEASURES | 2009-04-30 | Paper |
| Orthogonal systems in vector spaces over finite fields | 2009-04-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5506129 | 2009-01-28 | Paper |
| Ubiquity of simplices in subsets of vector spaces over finite fields | 2008-10-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3505636 | 2008-06-18 | Paper |
| An analog of the Furstenberg-Katznelson-Weiss theorem on triangles in sets of positive density in finite field geometries | 2008-04-30 | Paper |
| Mean lattice point discrepancy bounds. II: Convex domains in the plane | 2008-03-06 | Paper |
| Sum-product Estimates in Finite Fields via Kloosterman Sums | 2007-11-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5428181 | 2007-11-28 | Paper |
| Pinned distance sets, Wolff's exponent in finite fields and improved sum-product estimates | 2007-11-28 | Paper |
| Distance measures for well-distributed sets | 2007-10-11 | Paper |
| On the Mattila integral associated with sign indefinite measures | 2007-07-19 | Paper |
| Average decay estimates for Fourier transforms of measures supported on curves | 2007-05-30 | Paper |
| A Weyl type formula for Fourier spectra and frames | 2007-02-01 | Paper |
| Sum-product estimates in finite fields | 2006-09-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3377511 | 2006-03-23 | Paper |
| Non-isotropic distance measures for lattice-generated sets | 2005-07-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4657575 | 2005-03-14 | Paper |
| Lattice points inside random ellipsoids | 2004-11-11 | Paper |
| Circular averages and Falconer/Erdös distance conjecture in the plane for random metrics | 2004-10-05 | Paper |
| Distance sets of well-distributed planar point sets | 2004-09-22 | Paper |
| Endpoint bounds for the non-isotropic Falconer distance problem associated with lattice-like sets | 2004-09-16 | Paper |
| The rate of convergence of Fourier expansions in the plane: a geometric viewpoint | 2004-06-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4462254 | 2004-05-18 | Paper |
| The Fuglede spectral conjecture holds for convex planar domains | 2004-05-18 | Paper |
| Mean square discrepancy bounds for the number of lattice points in large convex bodies | 2004-01-14 | Paper |
| On combinatorial compexity of convex sequences | 2003-11-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4435799 | 2003-11-18 | Paper |
| Sharp rate of average decay of the Fourier transform of a bounded set | 2003-11-17 | Paper |
| Geometry of the gauss map and lattice points in convex domains | 2003-11-16 | Paper |
| Planar convex bodies, Fourier transform, lattice points, and irregularities of distribution | 2003-07-28 | Paper |
| Two problems associated with convex finite type domains | 2003-06-15 | Paper |
| Convex bodies with a point of curvature do not have Fourier bases | 2002-11-17 | Paper |
| Spherical means and the restriction phenomenon | 2002-07-09 | Paper |
| Discrete subsets of R^2 and the associated distance sets | 2002-03-15 | Paper |
| DISPERSIVE EFFECTS IN A MODIFIED KURAMOTO–SIVASHINSKY EQUATION | 2002-01-01 | Paper |
| Lattice points and generalized Diophantine conditions | 2001-12-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2756772 | 2001-11-18 | Paper |
| On averaging operators associated with convex hypersurfaces of finite type | 2001-09-17 | Paper |
| Sharpness Results and Knapp’s Homogeneity Argument | 2001-05-06 | Paper |
| Maximal averages over flat radial hypersurfaces | 2001-05-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4224829 | 2000-09-04 | Paper |
| Fourier bases and a distance problem of Erdős | 2000-08-13 | Paper |
| How large are the spectral gaps? | 2000-06-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4254117 | 2000-02-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4222329 | 1999-11-21 | Paper |
| Maximal averages over surfaces | 1999-09-15 | Paper |
| Random fluctuations of convex domains and lattice points | 1999-08-31 | Paper |
| Some sharp restriction theorems for homogeneous manifolds | 1998-01-01 | Paper |
| Averages over homogeneous hypersurfaces in | 1997-04-29 | Paper |
| Sharp \(L^p-L^q\) estimates for a class of averaging operators | 1997-02-27 | Paper |
| A restriction theorem for flat manifolds of codimension two | 1996-12-08 | Paper |
| Oscillatory integrals and maximal averages over homogeneous surfaces | 1996-09-05 | Paper |
| Maximal operators associated to families of flat curves in the plane | 1995-02-28 | Paper |
