| Publication | Date of Publication | Type |
|---|
| Brauer-Manin obstructions requiring arbitrarily many Brauer classes | 2023-09-11 | Paper |
| The proportion of derangements characterizes the symmetric and alternating groups | 2023-08-18 | Paper |
| Obstructions to applying the Baker--Bilu method for determining integral points on curves | 2023-06-20 | Paper |
| Introduction to Drinfeld modules | 2023-03-07 | Paper |
| The local-global principle for integral points on stacky curves | 2022-08-04 | Paper |
| The Exceptional Locus in the Bertini Irreducibility Theorem for a Morphism | 2022-04-06 | Paper |
| Lattices in Tate modules | 2021-07-13 | Paper |
| Linear independence in linear systems on elliptic curves | 2021-07-05 | Paper |
| Abelian varieties of prescribed order over finite fields | 2021-06-25 | Paper |
| A $p$-adic approach to rational points on curves | 2021-01-26 | Paper |
| Space vectors forming rational angles | 2020-11-28 | Paper |
| The analytic class number formula for 1‐dimensional affine schemes | 2020-11-20 | Paper |
| MACHINE-ASSISTED PROOFS | 2020-09-22 | Paper |
| HEURISTICS FOR THE ARITHMETIC OF ELLIPTIC CURVES | 2020-09-22 | Paper |
| Why All Rings Should Have a 1 | 2020-05-04 | Paper |
| Gonality of dynatomic curves and strong uniform boundedness of preperiodic points | 2020-02-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4972468 | 2019-11-25 | Paper |
| Statistics of \(K\)-groups modulo \(p\) for the ring of integers of a varying quadratic number field | 2019-10-17 | Paper |
| Using zeta functions to factor polynomials over finite fields | 2019-10-16 | Paper |
| A heuristic for boundedness of ranks of elliptic curves | 2019-10-15 | Paper |
| Local Arboreal Representations | 2019-02-06 | Paper |
| Erratum to “Bertini irreducibility theorems over finite fields” | 2019-02-01 | Paper |
| Machine-Assisted Proofs (ICM 2018 Panel) | 2018-09-21 | Paper |
| Abelian varieties isogenous to a power of an elliptic curve | 2018-07-19 | Paper |
| A COMPUTABLE FUNCTOR FROM GRAPHS TO FIELDS | 2018-05-02 | Paper |
| Rational Points on Varieties | 2018-01-23 | Paper |
| Automorphisms of Harbater-Katz-Gabber curves | 2017-06-07 | Paper |
| The Work of the 2014 Fields Medalists | 2016-06-15 | Paper |
| GENERALIZED EXPLICIT DESCENT AND ITS APPLICATION TO CURVES OF GENUS 3 | 2016-03-11 | Paper |
| Unique factorization of principally polarized abelian varieties | 2016-02-22 | Paper |
| Undecidable problems: a sampler | 2016-01-27 | Paper |
| Bertini irreducibility theorems over finite fields | 2015-11-03 | Paper |
| Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves | 2015-10-28 | Paper |
| Berkovich spaces embed in Euclidean spaces | 2015-06-17 | Paper |
| Computing Néron–Severi groups and cycle class groups | 2015-05-20 | Paper |
| Most odd degree hyperelliptic curves have only one rational point | 2014-12-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4981689 | 2014-06-24 | Paper |
| p-adic interpolation of iterates | 2014-06-06 | Paper |
| Average rank of elliptic curves | 2014-05-15 | Paper |
| Curves over every global field violating the local-global principle | 2014-01-16 | Paper |
| Extending self-maps to projective space over finite fields | 2013-10-25 | Paper |
| Self cup products and the theta characteristic torsor | 2013-08-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5300105 | 2013-06-26 | Paper |
| Convergence of the Restricted Nelder--Mead Algorithm in Two Dimensions | 2012-09-12 | Paper |
| Néron-Severi groups under specialization | 2012-08-29 | Paper |
| Uniform boundedness of rational points and preperiodic points | 2012-06-29 | Paper |
| Random maximal isotropic subspaces and Selmer groups | 2012-02-11 | Paper |
| Automorphisms mapping a point into a subvariety | 2011-10-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5391069 | 2011-04-05 | Paper |
| Multivariable polynomial injections on rational numbers | 2011-01-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3588162 | 2010-09-10 | Paper |
| The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields | 2010-05-27 | Paper |
| Insufficiency of the Brauer-Manin obstruction applied to étale covers | 2010-05-27 | Paper |
| Characterizing integers among rational numbers with a universal-existential formula | 2009-07-01 | Paper |
| Independence of points on elliptic curves arising from special points on modular and Shimura curves. I: Global results | 2009-06-30 | Paper |
| Existence of rational points on smooth projective varieties | 2009-06-16 | Paper |
| The set of nonsquares in a number field is diophantine | 2009-04-28 | Paper |
| Independence of points on elliptic curves arising from special points on modular and Shimura curves. I: Global results | 2009-03-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3615923 | 2009-03-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3602610 | 2009-02-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3533262 | 2008-10-23 | Paper |
| The moduli space of commutative algebras of finite rank | 2008-08-13 | Paper |
| Smooth hypersurface sections containing a given subscheme over a finite field | 2008-08-12 | Paper |
| Gonality of modular curves in characteristic \(p\) | 2008-02-25 | Paper |
| The p-adic closure of a subgroup of rational points on a commutative algebraic group | 2007-11-30 | Paper |
| Heuristics for the Brauer–Manin Obstruction for Curves | 2007-09-27 | Paper |
| Sieve methods for varieties over finite fields and arithmetic schemes | 2007-09-04 | Paper |
| Uniform first-order definitions in finitely generated fields | 2007-06-22 | Paper |
| Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\) | 2007-04-23 | Paper |
| Finiteness results for modular curves of genus at least 2 | 2006-03-09 | Paper |
| First-order definitions in function fields over anti-Mordellic fields | 2006-02-23 | Paper |
| Diophantine definability of infinite discrete nonarchimedean sets and Diophantine models over large subrings of number fields | 2005-12-06 | Paper |
| Orbits of automorphism groups of fields | 2005-12-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5694426 | 2005-09-30 | Paper |
| Bertini theorems over finite fields | 2005-09-30 | Paper |
| Unramified covers of Galois covers of low genus curves | 2005-09-26 | Paper |
| Varieties without extra automorphisms. III: Hypersurfaces | 2005-06-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4668450 | 2005-04-19 | Paper |
| The conjugate dimension of algebraic numbers | 2005-02-24 | Paper |
| Curves of every genus with many points. II: Asymptotically good families | 2005-02-09 | Paper |
| Finite Fields and Applications | 2005-01-04 | Paper |
| Sums of values of a rational function | 2004-08-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4737473 | 2004-08-11 | Paper |
| An explicit algebraic family of genus-one curves violating the Hasse principle | 2004-08-05 | Paper |
| Squarefree values of multivariable polynomials | 2004-03-17 | Paper |
| Spans of Hecke points on modular curves. | 2004-03-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4431815 | 2003-12-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4252774 | 2003-11-24 | Paper |
| Hilbert’s Tenth Problem and Mazur’s Conjecture for large subrings of $\mathbb {Q}$ | 2003-08-13 | Paper |
| The Grothendieck ring of varieties is not a domain. | 2003-04-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4779792 | 2002-10-27 | Paper |
| Random polynomials having few or no real zeros | 2002-08-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2731699 | 2002-07-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4230344 | 2002-01-21 | Paper |
| Lattice Polygons and the Number 12 | 2001-11-26 | Paper |
| COMPUTING CALL ADMISSION CAPACITIES IN LINEAR NETWORKS | 2001-10-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2726330 | 2001-07-18 | Paper |
| The Cassels-Tate pairing on polarized Abelian varieties | 2001-05-14 | Paper |
| Cycles of quadratic polynomials and rational points on a genus-2 curve | 2001-04-11 | Paper |
| Points having the same residue field as their image under a morphism | 2001-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2770269 | 2001-01-01 | Paper |
| Computing Torsion Points on Curves | 2001-01-01 | Paper |
| Genus-two curves with 22 torsion points | 2000-09-28 | Paper |
| On a conjecture of Helleseth regarding pairs of binary m-sequences | 2000-08-28 | Paper |
| Varieties without extra automorphisms. II: Hyperelliptic curves | 2000-08-13 | Paper |
| Varieties without extra automorphisms. I: Curves | 2000-08-13 | Paper |
| Zeros of Fekete polynomials | 2000-07-19 | Paper |
| Large torsion subgroups of split Jacobians of curves of genus two or three | 2000-03-28 | Paper |
| Some diophantine equations of the form $x^n + y^n = z^m$ | 2000-02-14 | Paper |
| Algebraic families of nonzero elements of Shafarevich-Tate groups | 1999-11-01 | Paper |
| Mordell-Lang plus Bogomolov | 1999-09-14 | Paper |
| Zeros of sparse polynomials over local fields of characteristic \(p\) | 1999-06-29 | Paper |
| Packing random intervals on-line | 1999-02-02 | Paper |
| The classification of rational preperiodic points of quadratic polynomials over \(\mathbb{Q}\): A refined conjecture | 1998-12-13 | Paper |
| A 2-adic approach to the analysis of cyclic codes | 1998-11-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4386352 | 1998-09-07 | Paper |
| Torsion in rank 1 Drinfeld modules and the uniform boundedness conjecture | 1998-07-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4375621 | 1998-06-17 | Paper |
| The Number of Intersection Points Made by the Diagonals of a Regular Polygon | 1998-05-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4342587 | 1998-05-06 | Paper |
| How to Spread Rumors Fast | 1997-12-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5691574 | 1997-03-02 | Paper |
| Fractional Power Series and Pairings on Drinfeld Modules | 1996-12-11 | Paper |
| Rigidity and semi-invariants in Drinfeld modules | 1996-09-01 | Paper |
| Congruences Relating the Order of a Group to the Number of Conjugacy Classes | 1996-01-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4855213 | 1995-12-11 | Paper |
| Packing random intervals | 1995-08-15 | Paper |
| Parking arcs on the circle with applications to one-dimensional communication networks | 1995-05-14 | Paper |
| Maximally complete fields | 1995-02-16 | Paper |
| The zeta function of the beta transformation | 1994-09-08 | Paper |
| Zeros of polynomials with \(0, 1\) coefficients | 1994-06-29 | Paper |
| The processor minimization problem with independent waiting-time constraints | 1994-04-05 | Paper |
| The Worst Case in Shellsort and Related Algorithms | 1993-12-06 | Paper |
| Union-closed families | 1992-06-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3786524 | 1988-01-01 | Paper |
