D. Ghioca

Most-cited papers

The Dynamical Manin–Mumford Conjecture and the Dynamical Bogomolov Conjecture for split rational maps
D. Ghioca, K. Nguyen, He-Xi Ye
2015Journal of the European Mathematical Society (Print)39 citations Open access
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On a dynamical version of a theorem of Rosenlicht
J. Bell, D. Ghioca, Z. Reichstein
201438 citations
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The dynamical André–Oort conjecture: Unicritical polynomials
D. Ghioca, Holly Krieger, K. Nguyen, He-Xi Ye
201532 citations Open access
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The dynamical Mordell-Lang problem for Noetherian spaces
J. Bell, D. Ghioca, T. Tucker
201532 citations Open access
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Density of orbits of endomorphisms of abelian varieties
D. Ghioca, Thomas Scanlon
201432 citations Open access
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The dynamical Manin–Mumford conjecture and the dynamical Bogomolov conjecture for endomorphisms of $(\mathbb{P}^{1})^{n}$
D. Ghioca, K. Nguyen, He-Xi Ye
2017Compositio Mathematica30 citations Open access
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Finite index theorems for iterated Galois groups of unicritical polynomials
Andrew Bridy, J. R. Doyle, D. Ghioca, Liang-Chung Hsia +1 more
2018Transactions of the American Mathematical Society27 citations Open access
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A Dynamical Variant of the André-Oort Conjecture
D. Ghioca, He-Xi Ye
201727 citations
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The dynamical Mordell-Lang conjecture in positive characteristic
D. Ghioca
2017Transactions of the American Mathematical Society23 citations Open access
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THE DYNAMICAL MORDELL–LANG CONJECTURE FOR ENDOMORPHISMS OF SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC
P. Corvaja, D. Ghioca, Thomas Scanlon, U. Zannier
2018Journal of the Institute of Mathematics of Jussieu22 citations Open access
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On the Medvedev-Scanlon Conjecture for Minimal Threefolds of Non-Negative Kodaira Dimension
J. Bell, D. Ghioca, Z. Reichstein, Matthew Satriano
201622 citations
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Dynamical Anomalous Subvarieties: Structure and Bounded Height Theorems
D. Ghioca, K. Nguyen
201420 citations Open access
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A variant of a theorem by Ailon-Rudnick for elliptic curves
D. Ghioca, Liang-Chung Hsia, T. Tucker
201719 citations Open access
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Density of orbits of dominant regular self-maps of semiabelian varieties
D. Ghioca, Matthew Satriano
2017Transactions of the American Mathematical Society19 citations Open access
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Algebraic dynamics of skew-linear self-maps
D. Ghioca, Jun-Yi Xie
201818 citations
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Dynamics of split polynomial maps: uniform bounds for periods and applications
D. Ghioca, K. Nguyen
201517 citations Open access
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A REFORMULATION OF THE DYNAMICAL MANIN–MUMFORD CONJECTURE
D. Ghioca, T. Tucker
2020Bulletin of the Australian Mathematical Society16 citations Open access
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Bounded Height in Families of Dynamical Systems
Laura Demarco, D. Ghioca, Holly Krieger, K. Nguyen +2 more
201715 citations Open access
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On a variant of the Ailon–Rudnick theorem in finite characteristic
D. Ghioca, Liang-Chung Hsia, T. Tucker
201712 citations
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Portraits of preperiodic points for rational maps
D. Ghioca, K. Nguyen, T. Tucker
2014Mathematical Proceedings of the Cambridge Philosophical Society12 citations Open access
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A question for iterated Galois groups in arithmetic dynamics
Andrew Bridy, J. R. Doyle, D. Ghioca, Liang-Chung Hsia +1 more
2019Canadian mathematical bulletin11 citations Open access
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Density of orbits of endomorphisms of commutative linear algebraic groups
D. Ghioca, Fei Hu
201811 citations
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Rationality of dynamical canonical height
Laura de Marco, D. Ghioca
2016Ergodic Theory and Dynamical Systems11 citations Open access
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The orbit intersection problem for linear spaces and semiabelian varieties
D. Ghioca, K. Nguyen
201611 citations Open access
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A SPARSITY RESULT FOR THE DYNAMICAL MORDELL–LANG CONJECTURE IN POSITIVE CHARACTERISTIC
D. Ghioca, Alina Ostafe, S. Saleh, I. Shparlinski
2016Bulletin of the Australian Mathematical Society10 citations Open access
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Specializations of iterated Galois groups of PCF rational functions
R. Benedetto, D. Ghioca, Jamie Juul, T. Tucker
2023Mathematische Annalen9 citations Open access
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A dynamical variant of the Pink–Zilber conjecture
D. Ghioca, K. Nguyen
2018Algebra & Number Theory9 citations Open access
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Higher arithmetic degrees of dominant rational self-maps
Nguyen-Bac Dang, D. Ghioca, Fei Hu, John Lesieutre +1 more
2019ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE8 citations Open access
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Dynamical Uniform Bounds for Fibers and a Gap Conjecture
J. Bell, D. Ghioca, Matthew Satriano
2019International mathematics research notices8 citations Open access
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The Dynamical Mordell-Lang Conjecture for skew-linear self-maps
D. Ghioca, Jun-Yi Xie
20188 citations
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A case of the Dynamical Andre-Oort Conjecture
D. Ghioca, Holly Krieger, K. Nguyen
20148 citations Open access
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Existence of pencils with nonblocking hypersurfaces
Shamil Asgarli, D. Ghioca, C. Yip
2023Finite Fields Their Appl.7 citations Open access
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Most plane curves over finite fields are not blocking
Shamil Asgarli, D. Ghioca, C. Yip
2022Journal of combinatorial theory. Series A7 citations Open access
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Zariski dense orbits for regular self-maps of tori in positive characteristic
D. Ghioca, S. Saleh
20207 citations
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The Dynamical Andre-Oort Conjecture for cubic polynomials
D. Ghioca, He-Xi Ye
20167 citations
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Unlikely Intersection For Two-Parameter Families of Polynomials
D. Ghioca, Liang-Chung Hsia, T. Tucker
20157 citations Open access
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Plane curves giving rise to blocking sets over finite fields
Shamil Asgarli, D. Ghioca, C. Yip
2022Designs, Codes and Cryptography6 citations Open access
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Zariski dense orbits for regular self-maps on split semiabelian varieties
D. Ghioca, S. Saleh
2021Canadian mathematical bulletin6 citations
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A Bertini type theorem for pencils over finite fields
Shamil Asgarli, D. Ghioca
2020Finite Fields Their Appl.6 citations Open access
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A variant of the Mordell–Lang conjecture
D. Ghioca, Fei Hu, Thomas Scanlon, U. Zannier
2018Mathematical Research Letters6 citations Open access
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Simultaneously preperiodic points for a family of polynomials in positive characteristic
D. Ghioca
2024Canadian Journal of Mathematics - Journal Canadien de Mathematiques5 citations Open access
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Collision of orbits for a one-parameter family of Drinfeld modules
D. Ghioca
2024Journal of Number Theory5 citations
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Zariski dense orbits for endomorphisms of a power of the additive group scheme defined over finite fields
D. Ghioca, S. Saleh
2022Journal of Number Theory5 citations Open access
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SMOOTHNESS IN PENCILS OF HYPERSURFACES OVER FINITE FIELDS
Shamil Asgarli, D. Ghioca
2022Bulletin of the Australian Mathematical Society5 citations Open access
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Zariski dense orbits for regular self-maps of split semiabelian varieties in positive characteristic
D. Ghioca, S. Saleh
2021Mathematical Proceedings of the Cambridge Philosophical Society5 citations Open access
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Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations
J. Bell, D. Ghioca
2018Advances in Mathematics5 citations Open access
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Squarefree doubly primitive divisors in dynamical sequences
D. Ghioca, K. Nguyen, T. Tucker
2016Mathematical Proceedings of the Cambridge Philosophical Society5 citations Open access
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Collision of orbits for families of polynomials defined over fields of positive characteristic
Shamil Asgarli, D. Ghioca
2025Mathematische Zeitschrift4 citations Open access
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Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case
R. Benedetto, D. Ghioca, Jamie Juul, Thomas J. Tucker
2024Journal of the London Mathematical Society4 citations Open access
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THE MORDELL–LANG CONJECTURE FOR SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC
D. Ghioca, Sheldon Yang
2023Bulletin of the Australian Mathematical Society4 citations Open access
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