|
+
PDF
Chat
|
Sign changes along geodesics of modular forms
|
2024
|
Dubi Kelmer
Alex Kontorovich
Christopher Lutsko
|
|
+
PDF
Chat
|
On the Local-Global Conjecture for Combinatorial Period Lengths of
Closed Billiards on the Regular Pentagon
|
2024
|
Alex Kontorovich
Xin Zhang
|
|
+
|
Norm bounds on Eisenstein series
|
2024
|
Dubi Kelmer
Alex Kontorovich
Christopher Lutsko
|
|
+
|
Effective Counting in Sphere Packings
|
2024
|
Alex Kontorovich
Christopher Lutsko
|
|
+
|
Counting in Lattice Orbits
|
2024
|
Alex Kontorovich
Christopher Lutsko
|
|
+
|
Sarnak’s spectral gap question
|
2023
|
Dubi Kelmer
Alex Kontorovich
Christopher Lutsko
|
|
+
|
On length sets of subarithmetic hyperbolic manifolds
|
2023
|
Alex Kontorovich
Xin Zhang
|
|
+
PDF
Chat
|
Kleinian sphere packings, reflection groups, and arithmeticity
|
2023
|
Nikolay Bogachev
A. G. Kolpakov
Alex Kontorovich
|
|
+
PDF
|
On superintegral Kleinian sphere packings, bugs, and arithmetic groups
|
2023
|
Michael Kapovich
Alex Kontorovich
|
|
+
|
List of problems on discrete subgroups of Lie groups and their computational aspects
|
2023
|
Michael Kapovich
A. S. Detinko
Alex Kontorovich
|
|
+
|
Mean square of Eisenstein series
|
2023
|
Dubi Kelmer
Alex Kontorovich
Christopher Lutsko
|
|
+
|
Remarks on the $\mathbb{Z}/p$ Dijkgraaf-Witten invariants of 3D mapping tori
|
2023
|
William Chen
Alex Kontorovich
Shehryar Sikander
|
|
+
|
Notes on a Path to AI Assistance in Mathematical Reasoning
|
2023
|
Alex Kontorovich
|
|
+
|
Arbeitsgemeinschaft: Thin Groups and Super-approximation
|
2022
|
Alireza Salehi Golsefidy
Alex Kontorovich
Hee Oh
|
|
+
|
On Length Sets of Subarithmetic Hyperbolic Manifolds
|
2022
|
Alex Kontorovich
Xin Zhang
|
|
+
|
Kleinian sphere packings, reflection groups, and arithmeticity
|
2022
|
Nikolay Bogachev
A. G. Kolpakov
Alex Kontorovich
|
|
+
|
Effective counting in sphere packings
|
2022
|
Alex Kontorovich
Christopher Lutsko
|
|
+
|
Sarnak's spectral gap question
|
2022
|
Dubi Kelmer
Alex Kontorovich
Christopher Lutsko
|
|
+
|
On Superintegral Kleinian Sphere Packings, Bugs, and Arithmetic Groups
|
2021
|
Michael Kapovich
Alex Kontorovich
|
|
+
PDF
Chat
|
Efficiently Constructing Tangent Circles
|
2020
|
Arthur Baragar
Alex Kontorovich
|
|
+
PDF
Chat
|
Beyond expansion, III: Reciprocal geodesics
|
2019
|
Jean Bourgain
Alex Kontorovich
|
|
+
PDF
|
Exponents for the equidistribution of shears and applications
|
2019
|
Dubi Kelmer
Alex Kontorovich
|
|
+
PDF
Chat
|
On Toric Orbits in the Affine Sieve
|
2019
|
Alex Kontorovich
Jeffrey C. Lagarias
|
|
+
|
WHAT IS...a Thin Group?
|
2019
|
Alex Kontorovich
D. D. Long
Alexander Lubotzky
Alan W. Reid
|
|
+
PDF
|
The local-global principle for integral Soddy sphere packings
|
2019
|
Alex Kontorovich
|
|
+
PDF
|
Geometry and arithmetic of crystallographic sphere packings
|
2018
|
Alex Kontorovich
Kei Nakamura
|
|
+
|
What Is... A Thin Group
|
2018
|
Alex Kontorovich
D. D. Long
Alexander Lubotzky
Alan W. Reid
|
|
+
|
On Toric Orbits in the Affine Sieve.
|
2018
|
Alex Kontorovich
Jeff Lagarias
|
|
+
PDF
|
Beyond Expansion IV: Traces of Thin Semigroups
|
2018
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Exponents for the Equidistribution of Shears and Applications
|
2018
|
Dubi Kelmer
Alex Kontorovich
|
|
+
|
On Toric Orbits in the Affine Sieve
|
2018
|
Alex Kontorovich
Jeff Lagarias
|
|
+
|
What Is... A Thin Group?
|
2018
|
Alex Kontorovich
D. Darren Long
Alexander Lubotzky
Alan W. Reid
|
|
+
|
Exponents for the Equidistribution of Shears and Applications
|
2018
|
Dubi Kelmer
Alex Kontorovich
|
|
+
PDF
Chat
|
Effective equidistribution of shears and applications
|
2017
|
Dubi Kelmer
Alex Kontorovich
|
|
+
|
Efficiently constructing tangent circles
|
2017
|
Arthur Baragar
Alex Kontorovich
|
|
+
PDF
Chat
|
Beyond expansion II: low-lying fundamental geodesics
|
2017
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Geometry and Arithmetic of Crystallographic Sphere Packings
|
2017
|
Alex Kontorovich
Kei Nakamura
|
|
+
|
Efficiently constructing tangent circles
|
2017
|
Arthur Baragar
Alex Kontorovich
|
|
+
PDF
Chat
|
Applications of Thin Orbits
|
2016
|
Alex Kontorovich
|
|
+
|
Schubert calculus and torsion explosion
|
2016
|
Geordie Williamson
Alex Kontorovich
Peter J. McNamara
|
|
+
|
Applications of Thin Orbits
|
2016
|
Alex Kontorovich
|
|
+
PDF
Chat
|
Almost prime coordinates for anisotropic and thin pythagorean orbits
|
2015
|
Jiuzu Hong
Alex Kontorovich
|
|
+
|
Effective equidistribution of shears and applications
|
2015
|
Dubi Kelmer
Alex Kontorovich
|
|
+
PDF
Chat
|
On the pair correlation density for hyperbolic angles
|
2015
|
Dubi Kelmer
Alex Kontorovich
|
|
+
|
Thermodynamic expansion to arbitrary moduli
|
2015
|
Jean Bourgain
Alex Kontorovich
Michael Magee
|
|
+
|
Effective equidistribution of shears and applications
|
2015
|
Dubi Kelmer
Alex Kontorovich
|
|
+
PDF
|
Levels of Distribution and the Affine Sieve
|
2014
|
Alex Kontorovich
|
|
+
|
The Affine Sieve Beyond Expansion I: Thin Hypotenuses: Fig. 1.
|
2014
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Beyond Expansion II: Low-Lying Fundamental Geodesics
|
2014
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Levels of Distribution and the Affine Sieve
|
2014
|
Alex Kontorovich
|
|
+
PDF
|
On Zaremba's conjecture
|
2014
|
Jean Bourgain
Alex Kontorovich
|
|
+
PDF
|
Bounding hyperbolic and spherical coefficients of Maass forms
|
2014
|
Valentin Blomer
Farrell Brumley
Alex Kontorovich
Nicolas Templier
|
|
+
|
Almost Prime Coordinates for Anisotropic and Thin Pythagorean Orbits
|
2014
|
Jiuzu Hong
Alex Kontorovich
|
|
+
|
Levels of Distribution and the Affine Sieve
|
2014
|
Alex Kontorovich
|
|
+
|
Beyond Expansion II: Low-Lying Fundamental Geodesics
|
2014
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Beyond Expansion IV: Traces of Thin Semigroups
|
2013
|
Jean Bourgain
Alex Kontorovich
|
|
+
PDF
Chat
|
On the local-global conjecture for integral Apollonian gaskets
|
2013
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Alex Kontorovich - Diophantine problems in thin orbits
|
2013
|
Alex Kontorovich
Fanny Bastien
Vanille Beaumont
|
|
+
PDF
|
From Apollonius to Zaremba: Local-global phenomena in thin orbits
|
2013
|
Alex Kontorovich
|
|
+
|
The Affine Sieve Beyond Expansion I: Thin Hypotenuses
|
2013
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Beyond Expansion IV: Traces of Thin Semigroups
|
2013
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
The Local-Global Principle for Integral Soddy Sphere Packings
|
2012
|
Alex Kontorovich
|
|
+
|
From Apollonius To Zaremba: Local-Global Phenomena in Thin Orbits
|
2012
|
Alex Kontorovich
|
|
+
|
On the Local-Global Conjecture for integral Apollonian gaskets
|
2012
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
On the Strong Density Conjecture for Integral Apollonian Circle Packings
|
2012
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions
|
2012
|
Dorian Goldfeld
Alex Kontorovich
|
|
+
|
On Trace Sets of Restricted Continued Fraction Semigroups
|
2012
|
Alex Kontorovich
|
|
+
|
A Pseudo Twin Primes Theorem
|
2012
|
Alex Kontorovich
|
|
+
PDF
|
On the determination of the Plancherel measure for Lebedev–Whittaker transforms on \mathop GL(n)
|
2012
|
Dorian Goldfeld
Alex Kontorovich
|
|
+
|
From Apollonius To Zaremba: Local-Global Phenomena in Thin Orbits
|
2012
|
Alex Kontorovich
|
|
+
|
The Local-Global Principle for Integral Soddy Sphere Packings
|
2012
|
Alex Kontorovich
|
|
+
|
On the Local-Global Conjecture for integral Apollonian gaskets
|
2012
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions
|
2012
|
Dorian Goldfeld
Alex Kontorovich
|
|
+
PDF
Chat
|
Almost prime Pythagorean triples in thin orbits
|
2011
|
Alex Kontorovich
Hee Oh
|
|
+
|
On A Conjecture of Zaremba's
|
2011
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
On Zarembaʼs conjecture
|
2011
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds
|
2011
|
Alex Kontorovich
Hee Oh
|
|
+
|
On the Determination of the Plancherel measure for Lebedev-Whittaker transforms on GL(n)
|
2011
|
Dorian Goldfeld
Alex Kontorovich
|
|
+
|
On Zaremba's Conjecture
|
2011
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
On Zaremba's Conjecture
|
2011
|
Jean Bourgain
Alex Kontorovich
|
|
+
PDF
|
Erratum to: On Representations of Integers in Thin Subgroups of $${{\rm {SL}}_2(\mathbb {Z})}$$
|
2010
|
Jean Bourgain
Alex Kontorovich
|
|
+
PDF
Chat
|
Sector Estimates for Hyperbolic Isometries
|
2010
|
Jean Bourgain
Alex Kontorovich
Peter Sarnak
|
|
+
|
On Representations of Integers in Thin Subgroups of $${{\rm SL}_2({\mathbb {Z}})}$$
|
2010
|
Jean Bourgain
Alex Kontorovich
|
|
+
PDF
|
On a theorem of Friedlander and Iwaniec
|
2010
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
The first non-vanishing quadratic twist of an automorphic L-series
|
2010
|
Jeffrey Hoffstein
Alex Kontorovich
|
|
+
|
On a Theorem of Friedlander and Iwaniec
|
2010
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Sector estimates for hyperbolic isometries
|
2010
|
Jean Bourgain
Alex Kontorovich
Peter Sarnak
|
|
+
|
Almost prime Pythagorean triples in thin orbits
|
2010
|
Alex Kontorovich
Hee Oh
|
|
+
|
On representations of integers in thin subgroups of SL(2,Z)
|
2010
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
The first non-vanishing quadratic twist of an automorphic L-series
|
2010
|
Jeffrey Hoffstein
Alex Kontorovich
|
|
+
|
On a Theorem of Friedlander and Iwaniec
|
2010
|
Jean Bourgain
Alex Kontorovich
|
|
+
|
Almost prime Pythagorean triples in thin orbits
|
2010
|
Alex Kontorovich
Hee Oh
|
|
+
|
Sector estimates for hyperbolic isometries
|
2010
|
Jean Bourgain
Alex Kontorovich
Peter Sarnak
|
|
+
PDF
Chat
|
The Dirichlet series for the exterior square L-function on GL(n)
|
2009
|
Alex Kontorovich
|
|
+
PDF
Chat
|
The hyperbolic lattice point count in infinite volume with applications to sieves
|
2009
|
Alex Kontorovich
|
|
+
|
Stochastic Models for the 3x+1 and 5x+1 Problems
|
2009
|
Alex Kontorovich
Jeffrey C. Lagarias
|
|
+
|
The Dirichlet Series for the Exterior Square $L$-function on GL(n)
|
2009
|
Alex Kontorovich
|
|
+
|
Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds
|
2008
|
Alex Kontorovich
Hee Oh
|
|
+
|
Apollonian circle packings and Horospherical flows on hyperbolic 3-manifolds
|
2008
|
Alex Kontorovich
Hee Oh
|
|
+
|
Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds
|
2008
|
Alex Kontorovich
Hee Oh
|
|
+
PDF
Chat
|
Quadratic addition rules for quantum integers
|
2006
|
Alex Kontorovich
Melvyn B. Nathanson
|
|
+
|
Structure Theorem for (d,g,h)-Maps
|
2006
|
Alex Kontorovich
Yakov G. Sinai
|
|
+
|
The Prime Number Theorem on the Nose
|
2005
|
Alex Kontorovich
|
|
+
|
Quadratic addition rules for quantum integers
|
2005
|
Alex Kontorovich
Melvyn B. Nathanson
|
|
+
|
Arbitrarily Long Arithmetic Progressions of Primes on the Nose
|
2005
|
Alex Kontorovich
|
|
+
PDF
|
Benford's law, values of L-functions and the 3x+1 problem
|
2005
|
Alex Kontorovich
Steven J. Miller
|
|
+
|
Quadratic addition rules for quantum integers
|
2005
|
Alex Kontorovich
Melvyn B. Nathanson
|
|
+
|
A Pseduo-Twin Primes Theorem
|
2005
|
Alex Kontorovich
|
|
+
PDF
Chat
|
Structure Theorem for (d, g, h)-Maps
|
2002
|
Alex Kontorovich
Ya. G. Sinaĭ
|