Preprints

"The Relative ManinMumford Conjecture" joint with Z. Gao arXiv:2303.05045

"Degeneracy loci in the universal family of abelian varieties" joint with Z. Gao arXiv:2303.04936

"Exponential periods and ominimality I" joint with J. Commelin and A. Huber arXiv:2007.08280
Publications
 "Galois orbits of torsion points near atoral sets" joint with V. Dimitrov; to appear in Algebra & Number Theory [arXiv:1909.06051]
 "Lower Bounds for the Canonical Height of a Unicritical Polynomialand Capacity" joint with H. Schmidt; to appear in Forum of Mathematics, Sigma [arXiv:2111.01870]
 "Separating Roots of Polynomials and the Transfinite Diameter" to appear in Riv. Math. Univ. Parma.
 "A consequence of the relative Bogomolov conjecture " joint with V. Dimitrov and Z. Gao, J. Number Theory 230 (2022), 146160. [arXiv:2009.08505]
 "Uniformity in MordellLang for curves" joint with V. Dimitrov and Z. Gao, joint with Z. Gao, Ann. of Math. (2) 194 (2021), no. 1, 237298. [arXiv:2001.10276]
 "The geometric Bogomolov conjecture" joint with S. Cantat, Z. Gao, J. Xie, Duke Math. J. 170(2) (2021), 247277, [DOI:10.1215/0012709420200044] [arXiv:1801.05762]
 "Uniform bound for the number of rational points on a pencil of curves" joint with V. Dimitrov and Z. Gao, International Mathematics Research Notices, Volume 2021, Issue 2, January 2021, Pages 11381159, [DOI:10.1093/imrn/rnz248] [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, 527604. [arXiv:1801.05762]
 "No singular modulus is a unit" joint with Yu. Bilu and L. Kühne, International Mathematics Research Notices, Volume 2020, Issue 24, December 2020, Pages 1000510041, [DOI:10.1093/imrn/rny274] [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, 357386
 "Diophantine Approximations on Definable Sets" Selecta Math. (N.S.) 24 (2018), no. 2, 16331675 [arXiv:1608.04547]
 "The Norm of Gaussian Periods" Q. J. Math. 69 (2018), no. 1, 153182 [arXiv:1611.07287]
 "Bad reduction of genus 2 curves with CM jacobian varieties" joint with F. Pazuki, Compos. Math. 153 (2017), no. 12, 25342576 [arXiv:1506.02485]
 "Effective Height Bounds on the Algebraic Torus", Around the ZilberPink conjecture/Autour de la conjecture de ZilberPink, 167242, Panor. Synthèse, 52, Soc. Math. France, Paris, 2017 [arXiv:1201.3255]
 "Quasiequivalence of heights and Runge's Theorem", Number Theory  Diophantine problems, uniform distribution and applications, 257280, 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, 447477 [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), 198
[arXiv:1410.6835]
 "Ominimality and certain atypical intersections" joint with J. Pila, Ann. Sci. Éc. Norm. Supér. (4) 49 (2016), no. 4, 813858 [arXiv:1409.0771]
 "Singular Moduli that are Algebraic Units", Algebra Number Theory 9 (2015), no. 7, 15151524 [arXiv:1402.1632]
 "Small Points and Free Abelian Groups" joint with R. Grizzard and L. Pottmeyer, Int. Math. Res. Not. IMRN 2015, no. 20, 1065710679 [arXiv:1408.4915]
 "A Note on Divisible Points of Curves" joint with M. Bays, Trans. Amer. Math. Soc. 367 (2015), no. 2, 13131328 [arXiv:1301.5674]
 "The TateVoloch Conjecture in a Power of a Modular Curve", Int. Math. Res. Not. IMRN 2014, no. 12, 33033339 [arXiv:1210.3299]
 "Small Height and Infinite NonAbelian Extensions", Duke Math. J. 162 no. 11 (2013), 18952076 [arXiv:1109.5859]
 "Special Points on Fibered Powers of Elliptic Surfaces", J. Reine Angew. Math., 685 (2013), 143179 [arXiv:1110.1908]
 "Torsion Points on Elliptic Curves in Weierstrass Form", Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XII (2013), 687715 [arXiv:1105.4435]
 "Some Unlikely Intersections Beyond AndréOort" 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. 4370 [offical PDF]
 "Multiplicative dependence and isolation II", J. Lond. Math. Soc. (2) 80 (2009), no. 2, 495513
 "Intersecting subvarieties of abelian varieties with algebraic subgroups of complementary dimension", Invent. Math. 176 (2009), no. 2, 405447
 "A Bogomolov property modulo algebraic subgroups", Soc. Math. France 137 (2009), no. 1, 93125
 "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), 449466
 "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), 349372
Book chapters
 "The ManinMumford conjecture, an elliptic curve, its torsion points and their Galois orbits" OMinimality and Diophantine Geometry (G.O. Jones and A.J. Wilkie, eds.), Cambridge University Press, 2015, London Mathematical Society Lecture Note Series 421.