Masser, D. and Zannier, U. (2020) “Torsion points, Pell’s equation, and integration in elementary terms”. Universität Basel (Preprints Fachbereich Mathematik, 2020).
edoc |
Open AccessDill, G. A. (2020) “Generalized Vojta-Rémond inequality”, International Journal of Number Theory. World Scientific, 16(1), pp. 107–120. doi: 10.1142/S1793042120500062.
Dill, G. A. (2020) “Unlikely intersections with isogeny orbits in a product of elliptic schemes”, Mathematische Annalen. Springer, 377, pp. 1509–1545. doi: 10.1007/s00208-020-02024-2.
Serge Cantat, Z. G. and Junyi Xie (2020) “The geometric Bogomolov conjecture”, Duke Math Journal, pp. 247–277.
Baker, R. and Masser, D. (2019) “Siegels’s lemma is sharp for almost all linear systems”. Universität Basel (Preprints Fachbereich Mathematik, 2019).
edoc |
Open AccessGao, Z. and Habegger, P. (2019) “Heights in families of abelian varieties and the geometric Bogomolov conjecture”. Universität Basel (Preprints Fachbereich Mathematik, 2019).
edoc |
Open AccessCanci, J. K. and Vishkautsan, S. (2019) “Scarcity of cycles for rational functions over a number field”,
Transactions of the American Mathematical Society. American Mathematical Society, 371, pp. 335–356. doi: 10.1090/tran/7217.
edocHabegger, P. and Ih, S.- ion (2019) “Distribution of integral division points on the algebraic torus”,
Transactions of the American Mathematical Society. American Mathematical Society, 371, pp. 357–386. doi: 10.1090/tran/7238.
edocBaker, R. and Masser, D. (2019) “Siegel’s Lemma is sharp for almost all linear systems ”,
The bulletin of the London Mathematical Society, 51(5), pp. 853–867. doi: 10.1112/blms.12281.
edocDimitrov, V., Gao, Z. and Habegger, P. (2019) “Uniform Bound for the Number of Rational Points on a Pencil of Curves ”,
International mathematics research notices. Hindawi Publ. Corp, p. rnz248. doi: 10.1093/imrn/rnz248.
edocDill, G. A. (2019)
Unlikely intersections with isogeny orbits. doi: 10.5451/unibas-007171198.
edoc |
Open AccessSchmid, S. (2019)
Integrality properties in the moduli space of elliptic curves. doi: 10.5451/unibas-007154921.
edoc |
Open AccessLe Boudec, P. (2018) “On the distribution of squarefree integers in arithmetic progressions”,
Mathematische Zeitschrift. Springer, 290(1-2), pp. 421–429. doi: 10.1007/s00209-017-2023-8.
edocLe Boudec, P. (2018) “Average rank in families of quadratic twists: a geometric point of view”,
Mathematische Annalen. Springer, 371(1-2), pp. 695–705. doi: 10.1007/s00208-017-1619-y.
edocVávra, T. and Veneziano, F. (2018) “Pisot unit generators in number fields”,
Journal of Symbolic Computation. Elsevier, 89, pp. 94–108. doi: 10.1016/j.jsc.2017.11.005.
edocBilu, Y., Habegger, P. and Kühne, L. (2018) “No singular modulus is a unit”,
International Mathematics Research Notices. Oxford University Press, p. rny274. doi: 10.1093/imrn/rny274.
edocCorvaja, P., Masser, D. and Zannier, U. (2018) “Torsion curves on abelian schemes and Betti coordinates”,
Mathematische Annalen. Springer, 371(2), pp. 1013–1045. doi: 10.1007/s00208-017-1537-z.
edocDerksen, H. G. J. and Masser, D. (2018) “Linear equations over multiplicative groups, recurrences, and mixing III”,
Ergodic Theory and Dynamical Systems. Cambridge University Press, 38(7), pp. 2625–2643. doi: 10.1017/etds.2016.137.
edocHabegger, P. (2018) “The Norm of Gaussian Periods”,
The Quaterly Journal of Mathematics . Oxford University Press, 69(1), pp. 153–182. doi: 10.1093/qmath/hax028.
edoc |
Open AccessMasser, D. (2017) “Integration in elementary terms”,
Newsletter London Mathematical Society. London Mathematical Society, (473), pp. 30–36. Available at: https://www.lms.ac.uk/publications/lms-newsletter-back-issues.
edocHabegger, P. (2017) “Diophantine Approximations on Definable Sets ”,
Selecta mathematica. Springer, 24, pp. 1633–1675. doi: 10.1007/s00029-017-0378-7.
edocHabegger, P. and Pazuki, F. (2017) “Bad reduction of genus 2 curves with CM jacobian varieties ”,
Compositio Mathematica. Cambridge University Press, 153, pp. 2534–2576. doi: 10.1112/S0010437X17007424.
edoc |
Open AccessAmoroso, F., Masser, D. and Zannier, U. (2017) “Bounded height in pencils of finitely generated subgroups ”,
Duke Mathematical Journal. Duke University Press, 166(13), pp. 2599–2642. doi: 10.1215/00127094-2017-0009.
edoc |
Open AccessMasser, D. and Brownawell, W. . D. (2017) “Zero estimates with moving targets”,
The Journal of the London Mathematical Society. Second Series. Oxford University Press, 95(2), pp. 441–455. doi: 10.1112/jlms.12014.
edocBilu, Y., Luca, F. and Masser, D. (2017) “Collinear CM-points ”,
Algebra and Number Theory. Mathematical Sciences Publishers, 11(5), pp. 1047–1087. doi: 10.2140/ant.2017.11.1047.
edocCorvaja, P., Masser, D. and Zannier, U. (2017) “Torsion hypersurfaces on abelian schemes and Betti coordinates”. Universität Basel (Preprints Fachbereich Mathematik, 2017).
edoc |
Open AccessBilu, Y., Luca, F. and Masser, D. (2017) “Collinear CM-points”. Universität Basel (Preprints Fachbereich Mathematik, 2017).
edoc |
Open AccessMasser, D. (2017) “Abcological anecdotes”. Universität Basel (Preprints Fachbereich Mathematik, 2017).
edoc |
Open AccessMasser, D. and Brownawell, W. D. (2017) “Unlikely intersections for curves in additive groups over positive characteristic”,
Proceedings of the American Mathematical Society. American Mathematical Society, 145, pp. 4617–4627. doi: 10.1090/proc/13617.
edocHabegger, P., Jones, G. and Masser, D. (2017) “Six unlikely intersection problems in search of effectivity”,
Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press, 162(3), pp. 447–477. doi: 10.1017/S0305004116000682.
edocDill, G. A. (2017) “Effective approximation and Diophantine applications”,
Acta Arithmetica. Institute of Mathematics, Polish Academy of Sciences, 177, pp. 169–199. doi: 10.4064/aa8430-9-2016.
edocCanci, J. K. and Vishkautsan, S. (2017) “Quadratic maps with a periodic critical point of period 2”,
International Journal of Number Theory. World Scientific Publishing Company, 13(6), pp. 1393–1417. doi: 10.1142/S1793042117500786.
edocCheccoli, S., Veneziano, F. and Viada, E. (2017) “On the explicit Torsion Anomalous Conjecture”,
Transactions of the American Mathematical Society. American Mathematical Society, 369, pp. 6465–6491. doi: 10.1090/tran/6893 .
edoc |
Open AccessCheccoli, S., Veneziano, F. and Viada, E. (2016) “The explicit Mordell Conjecture for families of curves (with an appendix by M. Stoll)”. Cornell: Cornell University Library. Available at: https://arxiv.org/pdf/1602.04097.pdf.
edocBrownawell, W. D. and Masser, D. (2016) “Zero estimates with moving targets”. Universität Basel (Preprints Fachbereich Mathematik, 2016).
edoc |
Open AccessBrownawell, W. D. and Masser, D. (2016) “Unlikely intersections for curves in additive groups over positive characteristic”. Universität Basel (Preprints Fachbereich Mathematik, 2016).
edoc |
Open AccessHabegger, P. (2016) “The norm of a Gaussian periods”. Universität Basel (Preprints Fachbereich Mathematik, 2016).
edoc |
Open AccessBainbridge, M., Habegger, P. and Möller, M. (2016) “Teichmüller curves in genus three and just likely intersections in ${\bf G}_m^n\times{\bf G_a}^n$”. Universität Basel (Preprints Fachbereich Mathematik, 2016).
edoc |
Open AccessPillay, A., Bertrand, D., Masser, D. and Zannier, U. (2016) “Relative Manin-Mumford for semi-abelian surfaces”. Universität Basel (Preprints Fachbereich Mathematik, 2016).
edoc |
Open AccessCapuano, L., Masser, D., Pila, J. and Zannier, U. (2016) “Rational points on Grassmannians and unlikely intersections in tori”. Universität Basel (Preprints Fachbereich Mathematik, 2016).
edoc |
Open AccessCanci, J. K. and Paladino, L. (2016) “On preperiodic points of rational functions defined over F_p(t)”. Universität Basel (Preprints Fachbereich Mathematik, 2016).
edoc |
Open AccessAmoroso, F. and Masser, D. (2016) “Lower bounds for the height in Galois extensions”. Universität Basel (Preprints Fachbereich Mathematik, 2016).
edoc |
Open AccessDerksen, H. and Masser, D. (2016) “Linear equations over multiplicative groups recurrences, and mixing III”. Universität Basel (Preprints Fachbereich Mathematik, 2016).
edoc |
Open AccessDill, G. (2016) “Effective approximation and Diophantine applications”. Universität Basel (Preprints Fachbereich Mathematik, 2016).
edoc |
Open AccessHabegger, P. (2016) “Diophantine approximations on definable sets”. Universität Basel (Preprints Fachbereich Mathematik, 2016).
edoc |
Open AccessHabegger, P. (2016) “Effective Height Upper Bounds on Algebraic Tori”, in Habegger, P., Rémond, G., Scanlon, T., Emmanuel, U., and Yafaev, A. (eds.)
Around the Zilber-Pink conjecture. Paris: Société mathématique de France (Panoramas et synthèses), pp. 167–242.
edocHabegger, P. and Pila, J. (2016) “O-minimality and certain atypical intersections”,
Annales Scientifiques de l’École Normale Supérieure. Société Mathématique de France, 49(4), pp. 813–858. Available at: http://smf4.emath.fr/Publications/AnnalesENS/4_49/html/ens_ann-sc_49_813-858.php.
edocPottmeyer, L. (2016) “A Note on Extensions of ℚtr”,
Journal de Théorie des Nombres de Bordeaux. Institut de Mathématiques de Bordeaux, 28(3), pp. 735–742.
edocCanci, J. K. and Paladino, L. (2016) “Preperiodic points for rational functions defined over a global field in terms of good reduction”,
Proceedings of the American Mathematical Society. American Mathematical Society, 144(12), p. 18. doi: 10.1090/proc/13096.
edocBainbridge, M., Habegger, P. and Möller, M. (2016) “Teichmüller curves in genus three and just likely intersections in \mathbf{G}_{m}^{n}\times\mathbf{G}_{a}^{n}”,
Publications mathematiques de l’IHES. Springer, 124(1), pp. 1–98. doi: 10.1007/s10240-016-0084-6.
edocCanci, J. K. and Paladino, L. (2016) “On preperiodic points for rational functions defined over $mathbb{F}_p(t)$”,
Rivista di Matematica della Università di Parma. Università di Parma, 7(1), p. 12. Available at: https://arxiv.org/pdf/1601.07293.pdf.
edocHabegger, P. (2016) “Quasi-equivalence of Heights and Runge’s Theorem”, in Elsholtz, C. and Grabner, P. (eds.)
Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy’s 60th birthday. Cham: Springer, pp. 257–280.
edocVávra, T. and Veneziano, F. (2015) “Pisot units in number fields”. ArXiv. Available at: https://arxiv.org/abs/1512.08786.
edocMasser, D. and Zannier, U. (2015) “Torsion points on families of simple abelian surfacesand Pell’s equation over polynomial rings”. Universität Basel (Preprints Fachbereich Mathematik, 2015).
edoc |
Open AccessHabegger, P., Jones, G. and Masser, D. (2015) “Six unlikely intersection problems in search of effectivity”. Universität Basel (Preprints Fachbereich Mathematik, 2015).
edoc |
Open AccessHabegger, P. (2015) “Singular moduli that are algebraic units”. Universität Basel (Preprints Fachbereich Mathematik, 2015).
edoc |
Open AccessCanci, J. K. and Vishkautsan, S. (2015) “Quadratic maps with a periodic critical point of period 2”. Universität Basel (Preprints Fachbereich Mathematik, 2015).
edoc |
Open AccessCanci, J. K. (2015) “Preperiodic points for rational functions defined over a rational function field of characteristic zero”. Universität Basel (Preprints Fachbereich Mathematik, 2015).
edoc |
Open AccessCanci, J. K. and Paladino, L. (2015) “Preperiodic points for rational functions defined over a global field in terms of good reduction”. Universität Basel (Preprints Fachbereich Mathematik, 2015).
edoc |
Open AccessHabegger, P. and Pila, J. (2015) “O-minimality and certain atypical intersections”. Universität Basel (Preprints Fachbereich Mathematik, 2015).
edoc |
Open AccessCanci, J. K. (2015) “Good reduction for endomorphisms of the projective line in terms of the branch locus”. Universität Basel (Preprints Fachbereich Mathematik, 2015).
edoc |
Open AccessHabegger, P. and Pazuki, F. (2015) “Bad reduction of genus 2 curves with CM jacobian varieties”. Universität Basel (Preprints Fachbereich Mathematik, 2015).
edoc |
Open AccessBays, M. and Habegger, P. (2015) “A note on divisible points of curves”,
Transactions of the American Mathematical Society. American Mathematical Society, 367(2), pp. 1313–1328. doi: 10.1090/S0002-9947-2014-06494-5.
edocHabegger, P. (2015) “Singular Moduli that are Algebraic Units”,
Algebra and Number Theory. Mathematical Sciences Publishers, 9(7), pp. 1515–1524. doi: 10.2140/ant.2015.9.1515.
edoc |
Open AccessMasser, D. (2015) “Relative Manin-Mumford for abelian varieties ”, in Jones, G. O. and Wilkie, A. J. (eds.)
O-Minimality and Diophantine Geometry. Cambridge: Cambridge University Press (London Mathematical Society Lecture Note Series), pp. 193–203. doi: 10.1017/CBO9781316106839.008.
edocHabegger, P. (2015) “The Manin-Mumford conjecture, an elliptic curve, its torsion points & their Galois orbits”, in Jones, G. and Wilkie, A. (eds.)
O-Minimality and Diophantine Geometry. Cambridge: Cambridge University Press (London Mathematical Society lecture note series), pp. 1–40. doi: 10.1017/CBO9781316106839.002.
edocGhioca, D., Masser, D. and Zannier, U. (2015) “Bounded height conjecture for function fields”,
New York journal of mathematics. European Mathematical Society, 21, pp. 837–846.
edocMasser, D. and Zannier, U. (2015) “Torsion points on families of abelian surfaces and Pell’s equation over polynomial rings”,
Journal of the European Mathematical Society. EMS, 17(9), pp. 2379–2416. doi: 10.4171/JEMS/560.
edocDerksen, H. and Masser, D. (2015) “Linear equations over multiplicative groups, recurrences, and mixing II”,
Indagationes Mathematicae . Elsevier, 26(1), pp. 113–136. doi: 10.1016/j.indag.2014.08.002.
edocPottmeyer, L. (2015) “Heights of points with bounded ramification”,
Annali della Scuola Normale di Pisa - Classe di Scienze. Scuola Normale Superiore, Pisa, 14(3), pp. 965–981. doi: 10.2422/2036-2145.201302_002.
edocGrizzard, R., Habegger, P. and Pottmeyer, L. (2015) “Small points and free abelian groups”,
International mathematics research notices. Hindawi Publ. Corp, 20, pp. 10657–10679. doi: 10.1093/imrn/rnv007.
edocPottmeyer, L. (2015) “Heights and totally p-adic numbers”,
Acta arithmetica. Seminarjum matematyczne, 171(3), pp. 277–291. doi: 10.4064/aa171-3-5.
edocCanci, J. K. (2015) “Preperiodic points for rational functions defined over a rational function field of characteristic zero”,
New York journal of mathematics. European Mathematical Society, (21), pp. 1295–1310. Available at: http://nyjm.albany.edu/j/2015/21-59v.pdf.
edoc |
Open AccessSchmidt, H. (2015)
Multiplication polynomials and relative Manin-Mumford. doi: 10.5451/unibas-006466673.
edoc |
Open AccessMasser, D. (2014) “Relative Manin-Mumford for Abelian Varieties”. Universität Basel (Preprints Fachbereich Mathematik, 2014).
edoc |
Open AccessMasser, D. and Wüstholz, G. (2014) “Polarization Estimates for Abelian Varieties”. Universität Basel (Preprints Fachbereich Mathematik, 2014).
edoc |
Open AccessDerksen, H. and Masser, D. (2014) “Linear Equations over Multiplicative Groups, Recurrences, and Mixing II”. Universität Basel (Preprints Fachbereich Mathematik, 2014).
edoc |
Open AccessHabegger, P. (2014) “The Tate-Voloch conjecture in a power of a modular curve”,
International Mathematics Research Notices. Oxford University Press, 2014(12), pp. 3303–3339. doi: 10.1093/imrn/rnt025.
edocCheccoli, S., Veneziano, F. and Viada, E. (2014) “On torsion anomalous intersections”,
Rendiconti Lincei. Matematica e Applicazioni. Accademia Nazionale dei Lincei, 25(1), pp. 1–36. doi: 10.4171/RLM/666.
edocMasser, D. and Zannier, U. (2014) “Torsion points of families of products of elliptic curves”,
Advances in mathematics. Academic Press, Vol. 259, pp. 116–133.
edocMasser, D. and Wuestholz, G. (2014) “Polarization estimates for abelian varieties”,
Algebra & number theory. Mathematical Sciences Publ, Vol. 8, H. 5, pp. 1045–1070.
edocMasser, D. (2014) “Unlikely intersections for curves in multiplicative groups over positive characteristic”,
The quarterly journal of mathematics. Oxford University Press, Vol. 65, H. 2, pp. 505–515.
edocDvornicich, R., Veneziano, F. and Zannier, U. (2014) “On the integral values of a curious recurrence”. arXiv. Available at: http://arxiv.org/abs/1403.3470.
Habegger, P. (2013) “Small height and infinite nonabelian extensions”,
Duke Mathematical Journal. Duke University Press, 162(11), pp. 2027–2076. doi: 10.1215/00127094-2331342.
edocHabegger, P. (2013) “Torsion points on elliptic curves in Weierstrass form”,
Annali della Scuola Normale di Pisa - Classe di Scienze. Scuola Normale Superiore, 12(3), pp. 687–715. doi: 10.2422/2036-2145.201105_001.
edocHabegger, P. (2013) “Special points on fibered powers of elliptic surfaces”,
Journal für die reine und angewandte Mathematik. De Gruyter, 685, pp. 143–179. doi: 10.1515/crelle-2012-0007.
edocPottmeyer, L. (2013) “Heights and totally real numbers”,
Rendiconti Lincei. Matematica e applicazioni. Accademia nazionale dei Lincei, 24(4), pp. 471–483. doi: 10.4171/RLM/662.
edocCanci, J. K., Peruginelli Giulio and Tossici, D. (2013) “On some notions of good reduction for endomorphisms of the projective line”,
Manuscripta mathematica. Springer, Vol. 141, H. 1, p. 17. doi: 10.1007/s00229-012-0573-y.
edocChatzidakis, Z., Ghioca, D., Masser, D. and Maurin, G. (2013) “Unlikely, likely and impossible intersections without algebraic groups”,
Atti della Accademia nazionale dei Lincei. Classe di scienze fisiche, matematiche e naturali. Rendiconti lincei. Matematica e applicazioni. Accademia nazionale dei Lincei, Vol. 24, H. 4 , S. 485–501.
edocBilu, Y., Masser, D. and Zannier, U. (2013) “An effective ‘theorem of André’ for CM-points on a plane curve”,
Mathematical proceedings of the Cambridge Philosophical Society. Cambridge University Press, Vol. 154, H. 1 , S. 145–152.
edocLeitner, D. (2013)
Aspects of x + y - z = 1 in positive characteristic. doi: 10.5451/unibas-006116269.
edoc |
Open AccessHabegger, P. and Pila, J. (2012) “Some unlikely intersections beyond André-Oort”,
Compositio Mathematica. Cambridge University Press, 148(1), pp. 1–27. doi: 10.1112/S0010437X11005604.
edocCheccoli, S., Veneziano, F. and Viada, E. (2012) “A sharp Bogomolov-type bound”,
New York journal of mathematics. European Mathematical Society, 18, pp. 891–910. Available at: http://nyjm.albany.edu:8000/j/2012/18_891.html.
edoc |
Open AccessZannier, U. (2012)
Some problems of unlikely intersections in arithmetic and geometry. Princeton: Princeton University Press (Annals of mathematics studies, No. 181).
edocMasser, D. and Zannier, U. (2012) “Torsion points on families of squares of elliptic curves”,
Mathematische Annalen. Springer, Vol. 352, H. 2, pp. 453–484.
edocDerksen, H. and Masser, D. (2012) “Linear equations over multiplicative groups, recurrences, and mixing I”,
Proceedings of the London Mathematical Society. Oxford University Press, Vol. 104, H. 5, pp. 1045–1083.
edocVeneziano, F. (2011) “Quadratic integral solutions to double Pell equations”,
Rendiconti del Seminario Matematico della Università di Padova. Libreria Internazionale Cortina, 126, pp. 47–61. doi: 10.4171/RSMUP/126-3.
edocBombieri, E., Habegger, P., Masser, D. and Zannier, U. (2010) “A note on Maurin’s theorem”,
Rendiconti Lincei. Matematica e Applicazioni. European Mathematical Society, 21(3), pp. 251–260. doi: 10.4171/RLM/570.
edocHabegger, P. (2010) “Weakly bounded height on modular curves”,
Acta Mathematica Vietnamica. Institute of Mathematics, 35(1), pp. 43–69. Available at: http://journals.math.ac.vn/acta/pdf/1001043.pdf.
edocCanci, J. K. (2010) “Rational periodic points for quadratic maps”,
Annales de l’Institut Fourier. Institut Fourier, 60(3), p. 33. doi: 10.5802/aif.2544.
edocHabegger, P. (2009) “A Bogomolov property modulo algebraic subgroups”,
Bulletin de la Société mathématique de France. Société mathématique de France, Vol. 137, fasc. 1, pp. 93–125.
edocHabegger, P. (2009) “Multiplicative dependence and isolation II”,
The journal of the London Mathematical Society. Oxford University Press, Vol. 80, H. 2, pp. 495–513.
edocHabegger, P. (2009) “Intersecting subvarieties of abelian varieties with algebraic subgroups of complementary dimension”,
Inventiones mathematicae. Springer International, Vol. 176, H. 2, pp. 405–447.
edocHabegger, P. (2009) “On the Bounded Height Conjecture”,
International mathematics research notices. Hindawi Publ. Corp, 2009, no. 5, pp. 860–886.
edocMasser, D. (2009) “Multiplicative dependence of values of algebraic functions”, in
Analytic Number Theory : Essays in Honour of Klaus Roth. Cambridge: Cambridge University Press, pp. 324–333.
edocHabegger, P. (2008) “Intersecting subvarieties of ${mathbf G}_m^n$ with algebraic subgroups”,
Mathematische Annalen. Springer, Vol. 342, H. 2, pp. 449–466.
edocWidmer, M. L. (2008)
Asymptotically counting points of bounded height. doi: 10.5451/unibas-004414562.
edoc |
Open AccessHabegger, P. (2007) “Multiplicative dependence and isolation I”, in Zannier, U. (ed.)
Diophantine Geometry. Proceedings. Pisa: Scuola Normale Superiore (CRM Series), pp. 189–196.
edocCanci, J. K. (2007) “Finite orbits for rational maps”,
Indagationes Mathematicae . Elsevier, 18(2), p. 12. doi: 10.1016/S0019-3577(07)80017-6.
edocHabegger, P. (2007)
Heights and multiplicative relations on algebraic varieties. doi: 10.5451/unibas-004256285.
edoc |
Open AccessCanci, J. K. (2006) “Cycles for rational maps of good reduction outside a prescribed set”,
Monatshefte für Mathematik. Springer, 149(4), pp. 265–287. doi: 10.1007/s00605-006-0387-7.
edocHabegger, P. (2005) “The equation $x+y=alpha$ in multiplicatively dependent unknowns”,
Acta arithmetica. Seminarjum matematyczne, Vol. 119, pp. 349–372.
edoc