Fachbereich Mathematik

Spiegelgasse 1

4051 Basel

Switzerland

Email: (first name)(dot)(last name)(at symbol)unibas(.)ch

MR Author ID: 774657

Official University of Basel site

*"Uniformity in Mordell-Lang for curves*" joint with V. Dimitrov and Z. Gao [arXiv:2001.10276]*"Galois orbits of torsion points near atoral sets*" joint with V. Dimitrov [arXiv:1909.06051]*"The geometric Bogomolov conjecture*" joint with S. Cantat, Z. Gao, J. Xie [arXiv:1801.05762]

*"Uniform bound for the number of rational points on a pencil of curves*" joint with V. Dimitrov and Z. Gao, to appear in Int. Math. Res. Not. [arXiv:1904.07268]*"Heights in families of abelian varieties and the Geometric Bogomolov Conjecture"*joint with Z. Gao, Ann. of Math. (2) 189 (2019), no. 2, 527-604. [arXiv:1801.05762]- "
*No singular modulus is a unit*" joint with Yu. Bilu and L. Kühne, to appear in Int. Math. Res. Not. [arXiv:1805.07167, link to scripts on GitHub] - "
*Distribution of integral division points on the algebraic torus*" joint with S. Ih, Trans. Amer. Math. Soc**371**(2019), no. 1, 357-386 *"Diophantine Approximations on Definable Sets"*Selecta Math. (N.S.) 24 (2018), no. 2, 1633-1675 [arXiv:1608.04547]- "
*The Norm of Gaussian Periods*" Q. J. Math. 69 (2018), no. 1, 153-182 [arXiv:1611.07287] -
*"Bad reduction of genus 2 curves with CM jacobian varieties"*joint with F. Pazuki, Compos. Math. 153 (2017), no. 12, 2534-2576 [arXiv:1506.02485] *"Effective Height Bounds on the Algebraic Torus",*Around the Zilber-Pink conjecture/Autour de la conjecture de Zilber-Pink, 167-242, Panor. Synthèse, 52, Soc. Math. France, Paris, 2017 [arXiv:1201.3255]*"Quasi-equivalence of heights and Runge's Theorem"*, Number Theory -- Diophantine problems, uniform distribution and applications, 257-280, Springer, Cham, 2017 [arXiv:1608.04206]*"Six unlikely intersection problems in search of effectivity"*joint with G. Jones and D. Masser, Math. Proc. Cambridge Philos. Soc. 162 (2017), no. 3, 447-477 [arXiv:1509.06573]*"Teichmüller curves in genus three and just likely intersections in ${\bf G}_m^n\times{\bf G}_a^n$"*joint with M. Bainbridge and M. Möller, Publ. Math. Inst. Hautes Études Sci. 124 (2016), 1-98 [arXiv:1410.6835]

*"O-minimality and certain atypical intersections"*joint with J. Pila, Ann. Sci. Éc. Norm. Supér. (4) 49 (2016), no. 4, 813-858 [arXiv:1409.0771]*"Singular Moduli that are Algebraic Units"*, Algebra Number Theory 9 (2015), no. 7, 1515-1524 [arXiv:1402.1632]*"Small Points and Free Abelian Groups"*joint with R. Grizzard and L. Pottmeyer, Int. Math. Res. Not. IMRN 2015, no. 20, 10657-10679 [arXiv:1408.4915]*"A Note on Divisible Points of Curves"*joint with M. Bays, Trans. Amer. Math. Soc. 367 (2015), no. 2, 1313-1328 [arXiv:1301.5674]*"The Tate-Voloch Conjecture in a Power of a Modular Curve"*, Int. Math. Res. Not. IMRN 2014, no. 12, 3303-3339 [arXiv:1210.3299]*"Small Height and Infinite Non-Abelian Extensions"*, Duke Math. J. 162 no. 11 (2013), 1895-2076 [arXiv:1109.5859]-
*"Special Points on Fibered Powers of Elliptic Surfaces"*, J. Reine Angew. Math., 685 (2013), 143-179 [arXiv:1110.1908] -
*"Torsion Points on Elliptic Curves in Weierstrass Form"*, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XII (2013), 687-715 [arXiv:1105.4435] -
*"Some Unlikely Intersections Beyond André-Oort"*joint with J. Pila, Compositio Math. 148 (2012), 1 - 27 *"A Note on Maurin's Theorem"*joint with E. Bombieri, D. Masser, and U. Zannier, Rend. Lincei Math. App. 21 (2010), 251 - 260-
*"Weakly Bounded Height on Modular Curves"*, Acta Math. Vietnam. 35 (2010), no. 1. 43-70 [offical PDF] -
*"Multiplicative dependence and isolation II"*, J. Lond. Math. Soc. (2) 80 (2009), no. 2, 495-513 -
*"Intersecting subvarieties of abelian varieties with algebraic subgroups of complementary dimension"*, Invent. Math. 176 (2009), no. 2, 405-447 -
*"A Bogomolov property modulo algebraic subgroups"*, Soc. Math. France 137 (2009), no. 1, 93-125 -
*"On the Bounded Height Conjecture"*, Int. Math. Res. Not. IMRN (2009); doi: 10.1093/imrn/rnn149 -
*"Intersecting subvarieties of ${\mathbf G}_m^n$ with algebraic subgroups"*, Math. Ann. 342 (2) (2008), 449-466 -
*"Multiplicative dependence and isolation I"*, Diophantine Geometry, Scuola Normale Superiore, Serie CRM, Vol. 4 (2007) -
*"The equation $x+y=\alpha$ in multiplicatively dependent unknowns"*, Acta Arith. 119 (2005), 349-372

*"The Manin-Mumford conjecture, an elliptic curve, its torsion points and their Galois orbits"*, O-Minimality and Diophantine Geometry (G.O. Jones and A.J. Wilkie, eds.), Cambridge University Press, 2015, London Mathematical Society Lecture Note Series 421.

Updated on January 29, 2020