| Publication | Date of Publication | Type |
|---|
| D-finiteness, rationality, and height. III: Multivariate Pólya-Carlson dichotomy | 2024-04-02 | Paper |
| Integral points on curves: Siegel’s theorem after Siegel’s proof | 2024-03-11 | Paper |
| Cyclotomic and abelian points in backward orbits of rational functions | 2024-02-08 | Paper |
| Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture | 2023-12-19 | Paper |
| Torsion in algebraic groups and problems which arise | 2023-11-10 | Paper |
| PENCILS OF NORM FORM EQUATIONS AND A CONJECTURE OF THOMAS | 2023-09-15 | Paper |
| Examples of effectivity for integral points on certain curves of genus 2 | 2023-08-29 | Paper |
| Purely exponential parametrizations and their group-theoretic applications | 2023-08-27 | Paper |
| D-finiteness, rationality, and height. II: Lower bounds over a set of positive density | 2023-02-22 | Paper |
| Finite Orbits in Surfaces with a Double Elliptic Fibration and Torsion Values of Sections | 2023-02-01 | Paper |
| Bounded generation by semi-simple elements: quantitative results | 2022-12-09 | Paper |
| On the distribution of rational points on ramified covers of abelian varieties | 2022-12-08 | Paper |
| Betti maps, Pell equations in polynomials and almost-Belyi maps | 2022-10-13 | Paper |
| On the integral values of a curious recurrence | 2022-09-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5039612 | 2022-09-30 | Paper |
| Integral distances from (two) given lattice points | 2022-07-15 | Paper |
| Around the Chevalley-Weil theorem | 2022-07-15 | Paper |
| Integral points on curves \(\frac{f(X)-f(Y)}{X-Y}\) | 2022-07-11 | Paper |
| D-finiteness, rationality, and height II: lower bounds over a set of positive density | 2022-05-04 | Paper |
| Classification of rational angles in plane lattices | 2022-04-01 | Paper |
| Bounded Generation by semi-simple elements: quantitative results | 2022-03-01 | Paper |
| Analytic and rational sections of relative semi-abelian varieties | 2022-02-11 | Paper |
| Non-virtually abelian anisotropic linear groups are not boundedly generated | 2022-02-08 | Paper |
| On the torsion values for sections of an elliptic scheme | 2022-01-13 | Paper |
| Intersections in subvarieties of ${\mathbb {G}}_{\mathrm {m}}^l$ and applications to lacunary polynomials | 2022-01-07 | Paper |
| Irrationality measures for cubic irrationals whose conjugates Lie on a curve | 2021-11-17 | Paper |
| Betti maps, Pell equation in polynomials and almost Belyi maps | 2021-09-28 | Paper |
| A note on the zeroes of the Fredholm series | 2021-07-02 | Paper |
| Unramified sections of the Legendre scheme and modular forms | 2021-06-14 | Paper |
| Torsion points, Pell's equation, and integration in elementary terms | 2021-04-19 | Paper |
| Integral distances from (two) lattice points | 2021-03-27 | Paper |
| THE DYNAMICAL MORDELL–LANG CONJECTURE FOR ENDOMORPHISMS OF SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC | 2021-03-12 | Paper |
| The Betti map associated to a section of an abelian scheme | 2020-10-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5119495 | 2020-09-04 | Paper |
| Fibred algebraic surfaces and commutators in the symplectic group | 2020-09-01 | Paper |
| On the \(p\)-adic distribution of torsion values for a section of an abelian scheme | 2020-08-17 | Paper |
| D-finiteness, rationality, and height | 2020-06-25 | Paper |
| Abelian varieties isogenous to no Jacobian | 2020-02-18 | Paper |
| A variant of the Mordell-Lang conjecture | 2019-12-11 | Paper |
| On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem | 2019-07-24 | Paper |
| An effective criterion for periodicity of $\ell $-adic continued fractions | 2019-03-22 | Paper |
| Arithmetic properties of quadratic exponential polynomials | 2019-03-18 | Paper |
| Hyperelliptic continued fractions and generalized Jacobians | 2019-03-13 | Paper |
| Composite factors of binomials and linear systems in roots of unity | 2019-02-07 | Paper |
| On abelian multiplicatively dependent points on a curve in a torus | 2018-09-27 | Paper |
| Torsion hypersurfaces on abelian schemes and Betti coordinates | 2018-08-23 | Paper |
| On the existence of covers of \(\mathbb{P}_1\) associated to certain permutations | 2018-07-02 | Paper |
| Basics on the theory of heights and its applications to certain Diophantine problems | 2018-04-27 | Paper |
| Products of elementary matrices and non-Euclidean principal ideal domains | 2018-03-01 | Paper |
| Applications of Diophantine Approximation to Integral Points and Transcendence | 2018-02-19 | Paper |
| Unlikely intersections and multiple roots of sparse polynomials | 2017-12-15 | Paper |
| On fewnomials, integral points, and a toric version of Bertini’s theorem | 2017-11-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5371247 | 2017-10-25 | Paper |
| Bounded height in pencils of finitely generated subgroups | 2017-10-24 | Paper |
| On the Hilbert property and the fundamental group of algebraic varieties | 2017-06-07 | Paper |
| Relative Manin–Mumford for Semi-Abelian Surfaces | 2017-04-28 | Paper |
| Elements of large order on varieties over prime finite fields | 2016-03-30 | Paper |
| Rational points on Grassmannians and unlikely intersections in tori | 2016-02-22 | Paper |
| Bounded height conjecture for function fields | 2015-10-27 | Paper |
| Torsion points on families of simple abelian surfaces and Pell's equation over polynomial rings (with an appendix by E. V. Flynn) | 2015-10-16 | Paper |
| Integral points in two-parameter orbits | 2015-10-07 | Paper |
| Unlikely Intersections and Pell’s Equations in Polynomials | 2015-10-07 | Paper |
| Sharpening `Manin-Mumford' for certain algebraic groups of dimension 2 | 2015-09-09 | Paper |
| Points near real algebraic sets | 2014-11-19 | Paper |
| Artin-Whaples approximations of bounded degree in algebraic varieties | 2014-09-16 | Paper |
| On fields with Property (B) | 2014-06-04 | Paper |
| Introductory Notes on Valuation Rings and Function Fields in One Variable | 2014-06-04 | Paper |
| Torsion points on families of products of elliptic curves | 2014-05-16 | Paper |
| Bicyclotomic polynomials and impossible intersections | 2014-05-02 | Paper |
| Greatest common divisors of \(u-1, v-1\) in positive characteristic and rational points on curves over finite fields | 2013-09-02 | Paper |
| Algebraic hyperbolicity of ramified covers of \(\mathbb{G}^2_m\) (and integral points on affine subsets of \(\mathbb{P}_2\)) | 2013-08-26 | Paper |
| Finiteness of odd perfect powers with four nonzero binary digits | 2013-07-31 | Paper |
| On certain permutation groups and sums of two squares | 2013-03-13 | Paper |
| An effective “Theorem of André” for CM-points on a plane curve | 2013-01-15 | Paper |
| Value-sets of polynomials at \(p\)-adic integers | 2012-06-26 | Paper |
| Some remarks concerning the rank of mapping tori and ascending HNN-extensions of Abelian groups. | 2012-06-20 | Paper |
| An $abcd$ theorem over function fields and applications | 2012-04-14 | Paper |
| Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181) | 2012-04-05 | Paper |
| Torsion points on families of squares of elliptic curves | 2012-02-14 | Paper |
| Composite rational functions expressible with few terms | 2012-01-09 | Paper |
| On the rank of certain matrices | 2011-10-11 | Paper |
| On fields of algebraic numbers with bounded local degrees | 2011-02-21 | Paper |
| Addendum to the papers: On polynomials taking small values at integral arguments I, II. (Acta Arith. 42 (1983), 189–196; ibid. 106 (2003), 115–121) | 2011-01-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3066538 | 2011-01-11 | Paper |
| A note on Maurin's theorem | 2010-09-02 | Paper |
| Integral points, divisibility between values of polynomials and entire curves on surfaces | 2010-09-01 | Paper |
| Hilbert irreducibility above algebraic groups | 2010-07-07 | Paper |
| A uniform relative Dobrowolski's lower bound over abelian extensions | 2010-06-24 | Paper |
| The Diophantine equation 𝛼₁^{𝑥₁}⋯𝛼_{𝑛}^{𝑥_{𝑛}}=𝑓(𝑥₁,…,𝑥_{𝑛}). II | 2010-04-13 | Paper |
| Integral points on threefolds and other varieties | 2010-03-30 | Paper |
| Parametrizing Over ℤ Integral Values of Polynomials Over ℚ | 2010-02-19 | Paper |
| Addendum to the paper: ``On the number of terms of a composite polynomial (Acta Arith. 127 (2007), 157–167) | 2009-12-08 | Paper |
| On the properties of Northcott and of Narkiewicz for fields of algebraic numbers | 2009-11-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3645422 | 2009-11-18 | Paper |
| Newton functions generating symmetric fields and irreducibility of Schur polynomials | 2009-11-10 | Paper |
| On the number of terms of a power of a polynomial | 2009-07-31 | Paper |
| Lecture Notes on Diophantine Analysis | 2009-04-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3613929 | 2009-03-16 | Paper |
| On unlikely intersections of complex varieties with tori | 2008-12-02 | Paper |
| Applications of the Subspace Theorem to Certain Diophantine Problems | 2008-10-20 | Paper |
| On composite lacunary polynomials and the proof of a conjecture of Schinzel | 2008-09-15 | Paper |
| On the integral points on certain surfaces | 2008-08-12 | Paper |
| On the maximal order of a torsion point on a curve in \(\mathbb{G}^n_m\) | 2008-06-25 | Paper |
| Rational points in periodic analytic sets and the Manin-Mumford conjecture | 2008-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3509888 | 2008-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3509947 | 2008-06-25 | Paper |
| Linear equations with unknowns from a multiplicative group in a function field | 2008-06-25 | Paper |
| Torsion anomalous points and families of elliptic curves | 2008-05-22 | Paper |
| Some cases of Vojta’s conjecture on integral points over function fields | 2008-05-05 | Paper |
| Anomalous Subvarieties—Structure Theorems and Applications | 2007-11-28 | Paper |
| Proof of the existence of certain triples of polynomials | 2007-11-26 | Paper |
| Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps) | 2007-09-27 | Paper |
| On the greatest prime factor of Markov pairs | 2007-05-09 | Paper |
| On a local-global principle for the divisibility of a rational point by a positive integer | 2007-04-02 | Paper |
| On the number of terms of a composite polynomial | 2007-03-13 | Paper |
| Polynomial squares of the form \(aX^m+b(1-X)^n+c\) | 2007-02-02 | Paper |
| A lower bound for periods of matrices | 2006-11-08 | Paper |
| On the length of the continued fraction for values of quotients of power sums | 2006-03-30 | Paper |
| Intersecting curves and algebraic subgroups: Conjectures and more results | 2006-02-17 | Paper |
| A note on heights in certain infinite extensions of \(\mathbb Q\) | 2005-10-19 | Paper |
| A note on squares in arithmetic progressions. II | 2005-10-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5694899 | 2005-10-05 | Paper |
| Diophantine equations with linear recurrences. An overview of some recent progress | 2005-09-15 | Paper |
| ON THE INTEGRAL POINTS ON THE COMPLEMENT OF RAMIFICATION-DIVISORS | 2005-07-01 | Paper |
| On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France | 2005-06-29 | Paper |
| S-unit points on analytic hypersurfaces | 2005-06-10 | Paper |
| On the number of rational points on certain elliptic curves | 2005-05-17 | Paper |
| On the integer solutions of exponential equations in function fields. | 2005-04-29 | Paper |
| A lower bound for the height of a rational function at \(S\)-unit points | 2005-04-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4673146 | 2005-04-29 | Paper |
| On integral points on surfaces | 2005-04-18 | Paper |
| On a general Thue's equation | 2005-03-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4662479 | 2005-03-30 | Paper |
| Solution of a problem about symmetric functions | 2004-10-01 | Paper |
| Finiteness results for multiplicatively dependent points on complex curves | 2004-06-15 | Paper |
| The Equation f(X) = f(Y) in Rational Functions X = X(t), Y = Y(t) | 2004-06-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4466602 | 2004-06-08 | Paper |
| An analogue for elliptic curves of the Grunwald--Wang example. | 2004-03-15 | Paper |
| On the number of integral points on algebraic curves | 2004-01-05 | Paper |
| Parametrizing SL2(Z) and a question of Skolem | 2003-09-28 | Paper |
| Finiteness of integral values for the ratio of two linear recurrences | 2003-08-17 | Paper |
| An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\) | 2003-06-02 | Paper |
| Fractional parts of Linear polynomials and an application to hypergeometric functions | 2003-02-25 | Paper |
| On the greatest prime factor of (𝑎𝑏+1)(𝑎𝑐+1) | 2003-02-19 | Paper |
| Good reduction of certain covers \(\mathbb{P}^1\to\mathbb{P}^1\) | 2003-02-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4254119 | 2003-01-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4786562 | 2002-12-17 | Paper |
| Sums of roots of unity vanishing modulo a prime | 2002-12-01 | Paper |
| FEWNOMIALS AND INTERSECTIONS OF LINES WITH REAL ANALYTIC SUBGROUPS IN Gnm | 2002-10-22 | Paper |
| A subspace theorem approach to integral points on curves | 2002-07-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4539513 | 2002-07-08 | Paper |
| Local-global divisibility of rational points in some commutative algebraic groups | 2002-02-24 | Paper |
| Genus one curves defined by separated variable polynomials and a polynomial Pell equation | 2001-12-11 | Paper |
| Equations in one variable over function fields | 2001-06-17 | Paper |
| A proof of Pisot's \(d\)th root conjecture | 2001-05-14 | Paper |
| Polynomials modulo \(p\) whose values are squares (elementary improvements on some consequences of Weil's bounds). | 2001-01-30 | Paper |
| A local-global principle for norms from cyclic extensions of \(\mathbb{Q}(t)\) (a direct, constructive and quantitative approach) | 2001-01-30 | Paper |
| On sums of roots of unity | 2001-01-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4510765 | 2000-12-12 | Paper |
| On the diophantine equation $f(a^m,y)=b^n$ | 2000-08-22 | Paper |
| A note on traces of differential forms | 2000-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4937710 | 2000-02-13 | Paper |
| On the number of times a root of \(f(n,x)=0\) generates a field containing a given number field | 1999-11-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4233886 | 1999-08-23 | Paper |
| Diophantine equations with power sums and universal Hilbert sets | 1999-06-01 | Paper |
| Note on \(g\)-Hilbertian fields and nonrational curves with the Hilbert property | 1999-05-30 | Paper |
| Values of rational functions on non-Hilbertian fields and a question of Weissauer | 1999-05-16 | Paper |
| Universal Hilbert subsets | 1999-04-08 | Paper |
| On a theorem of J. E. Olson and an application. (Vanishing sums in finite abelian \(p\)-groups) | 1999-03-07 | Paper |
| Two problems related to the non-vanishing of \(L(1,\chi)\) | 1999-03-07 | Paper |
| On a functional equation relating a Laurent series \(f(x)\) to \(f(x^m)\) | 1998-08-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4338236 | 1998-07-20 | Paper |
| On the reduction modulo \(p\) of an absolutely irreducible polynomial \(f(x,y)\) | 1998-03-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4374785 | 1998-02-16 | Paper |
| Hilbert's irreducibility theorem and \(G\)-functions | 1997-12-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4351906 | 1997-10-06 | Paper |
| ``Good numbers | 1997-06-30 | Paper |
| Remarks on a question of Skolem about the integer solutions of x₁x₂ - x₃x₄ = 1 | 1997-04-23 | Paper |
| Distribution of solutions of diophantine equations \(f_ 1 (x_ 1) f_ 2 (x_ 2)= f_ 3 (x_ 3)\), where \(f_ i\) are polynomials. II | 1997-01-30 | Paper |
| Commutative domains large in their \({\mathfrak M}\)-adic completions | 1997-01-16 | Paper |
| On periodic \(\text{mod }p\) sequences and \(G\)-functions. (On a conjecture of Ruzsa) | 1997-01-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4881714 | 1996-11-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4853852 | 1996-10-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4855302 | 1996-05-24 | Paper |
| Fields containing values of algebraic functions II (On a conjecture of Schinzel) | 1996-02-26 | Paper |
| An effective solution of a certain diophantine problem | 1996-02-11 | Paper |
| The class semigroup of orders in number fields | 1996-01-07 | Paper |
| The least admissible value of the parameter in Hilbert's Irreducibility Theorem | 1996-01-07 | Paper |
| A note on Thue's equation over function fields | 1995-09-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4319817 | 1995-08-31 | Paper |
| On Davenport's bound for the degree of f³ - g² and Riemann's Existence Theorem | 1995-07-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4291391 | 1994-11-01 | Paper |
| Some remarks on the S-unit equation in function fields | 1994-05-15 | Paper |
| Ritt's Second Theorem in arbitrary characteristic. | 1993-12-09 | Paper |
| Functional equations for Dirichlet series with periodic coefficients | 1993-01-17 | Paper |
| Distribution of solutions of diophantine equations \(f_ 1(x_ 1)f_ 2(x_ 2)=f_ 3(x_ 3)\), where \(f_ i\) are polynomials | 1993-01-16 | Paper |
| The group of Pythagorean triples in number fields | 1992-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4010024 | 1992-09-27 | Paper |
| On a theorem of Birch concerning sums of distinct integers taken from certain sequences | 1992-06-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5751088 | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3348065 | 1990-01-01 | Paper |
| An extremal property of the Möbius function | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3831390 | 1989-01-01 | Paper |
| On the linear independence of roots of unity over finite extensions of Q | 1989-01-01 | Paper |
| An amusing problem about quadruples of real numbers | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3356578 | 1988-01-01 | Paper |
| AN Ω RESULT IN UNIFORM DISTRIBUTION THEORY | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3736228 | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3331274 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3331275 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3665180 | 1984-01-01 | Paper |
| On sums of distinct integers belonging to certain sequences | 1983-01-01 | Paper |
| On polynomials taking small values at integral arguments | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3666919 | 1983-01-01 | Paper |
| On periodic mod p sequences | 1982-01-01 | Paper |
| A note on recurrent mod p sequences | 1982-01-01 | Paper |
| On the Distribution of Self-Numbers | 1982-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3913036 | 1981-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4742878 | 1980-01-01 | Paper |
