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Tucker, Thomas John

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Author ID: tucker.thomas-j Recent zbMATH articles by "Tucker, Thomas John"
Published as: Tucker, T. J.; Tucker, Thomas; Tucker, Thomas J.; Tucker, Thomas John
Homepage: http://www.math.rochester.edu/people/faculty/ttucker/
External Links: MGP · ResearchGate
Documents Indexed: 53 Publications since 1991, including 1 Book
Reviewing Activity: 5 Reviews

Publications by Year

Citations contained in zbMATH

44 Publications have been cited 379 times in 199 Documents Cited by Year
Periodic points, linearizing maps, and the dynamical Mordell-Lang problem. Zbl 1186.14047
Ghioca, Dragos; Tucker, T. J.
28
2009
Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture. Zbl 1191.14027
Ghioca, Dragos; Tucker, Thomas J.; Zieve, Michael E.
27
2008
The dynamical Mordell-Lang problem for étale maps. Zbl 1230.37112
Bell, J. P.; Ghioca, D.; Tucker, T. J.
23
2010
\(ABC\) implies primitive prime divisors in arithmetic dynamics. Zbl 1291.37121
Gratton, C.; Nguyen, K.; Tucker, T. J.
22
2013
It’s as easy as \(abc\). Zbl 1160.11318
Granville, Andrew; Tucker, Thomas J.
20
2002
A case of the dynamical Mordell-Lang conjecture. Zbl 1285.37021
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Pär; Tucker, Thomas J.
18
2012
The dynamical Mordell-Lang conjecture. Zbl 1362.11001
Bell, Jason P.; Ghioca, Dragos; Tucker, Thomas J.
16
2016
Towards a dynamical Manin-Mumford conjecture. Zbl 1267.37110
Ghioca, Dragos; Tucker, Thomas J.; Zhang, Shouwu
16
2011
Periods of rational maps modulo primes. Zbl 1317.37111
Benedetto, Robert L.; Ghioca, Dragos; Hutz, Benjamin; Kurlberg, Pär; Scanlon, Thomas; Tucker, Thomas J.
15
2013
Thue equations and the method of Chabauty-Coleman. Zbl 1048.11023
Lorenzini, Dino; Tucker, Thomas J.
14
2002
Linear relations between polynomial orbits. Zbl 1267.37043
Ghioca, Dragos; Tucker, Thomas J.; Zieve, Michael E.
13
2012
Exceptional covers and bijections on rational points. Zbl 1127.14023
Guralnick, Robert M.; Tucker, Thomas J.; Zieve, Michael E.
12
2007
Equidistribution and integral points for Drinfeld modules. Zbl 1178.11046
Ghioca, D.; Tucker, T. J.
9
2008
Portraits of preperiodic points for rational maps. Zbl 1371.11109
Ghioca, Dragos; Nguyen, Khoa; Tucker, Thomas J.
8
2015
Equidistribution and generalized Mahler measures. Zbl 1283.37075
Szpiro, L.; Tucker, T. J.
8
2012
A Shafarevich-Faltings theorem for rational functions. Zbl 1168.14020
Szpiro, Lucien; Tucker, Thomas J.
8
2008
A dynamical version of the Mordell-Lang conjecture for the additive group. Zbl 1169.11024
Ghioca, D.; Tucker, T. J.
8
2008
Mahler measure for dynamical systems on \(\mathbb P^1\) and intersection theory on a singular arithmetic surface. Zbl 1101.11020
Pineiro, Jorge; Szpiro, Lucien; Tucker, Thomas J.
8
2005
Preperiodic points for families of rational maps. Zbl 1317.37112
Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J.
7
2015
Preperiodic points for families of polynomials. Zbl 1323.37056
Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J.
7
2013
The Mordell-Lang question for endomorphisms of semiabelian varieties. Zbl 1256.14046
Ghioca, Dragos; Tucker, Thomas; Zieve, Michael E.
7
2011
A gap principle for dynamics. Zbl 1209.37115
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Pär; Tucker, Thomas J.
7
2010
Proof of a dynamical Bogomolov conjecture for lines under polynomial actions. Zbl 1187.37134
Ghioca, Dragos; Tucker, Thomas J.
7
2010
Siegel’s theorem for Drinfeld modules. Zbl 1170.11012
Ghioca, D.; Tucker, T. J.
7
2007
Applications of \(p\)-adic analysis for bounding periods of subvarieties under étale maps. Zbl 1349.14002
Bell, Jason Pierre; Ghioca, Dragos; Tucker, Thomas John
6
2015
Dirichlet’s theorem, Vojta’s inequality, and Vojta’s conjecture. Zbl 0933.11033
Song, Xiangjun; Tucker, Thomas J.
6
1999
The dynamical Mordell-Lang problem for Noetherian spaces. Zbl 1388.37086
Bell, Jason P.; Ghioca, Dragos; Tucker, Thomas J.
5
2015
A dynamical pairing between two rational maps. Zbl 1300.37052
Petsche, Clayton; Szpiro, Lucien; Tucker, Thomas J.
5
2012
The number of fields generated by the square root of values of a given polynomial. Zbl 1044.11087
Cutter, Pamela; Granville, Andrew; Tucker, Thomas J.
5
2003
Current trends and open problems in arithmetic dynamics. Zbl 07124524
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Silverman, Joseph H.; Tucker, Thomas J.
4
2019
Finite index theorems for iterated Galois groups of cubic polynomials. Zbl 07051737
Bridy, Andrew; Tucker, Thomas J.
4
2019
Uniform bounds on pre-images under quadratic dynamical systems. Zbl 1222.11086
Faber, Xander; Hutz, Benjamin; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Tucker, Thomas J.; Zieve, Michael E.
4
2009
\(ABC\) implies a Zsigmondy principle for ramification. Zbl 1407.37128
Bridy, Andrew; Tucker, Thomas J.
3
2018
Greatest common divisors of iterates of polynomials. Zbl 1392.37103
Hsia, Liang-Chung; Tucker, Thomas
3
2017
Uniform boundedness of \(S\)-units in arithmetic dynamics. Zbl 1403.37102
Krieger, Holly; Levin, Aaron; Scherr, Zachary; Tucker, Thomas; Yasufuku, Yu; Zieve, Michael E.
3
2015
A finiteness property for preperiodic points of Chebyshev polynomials. Zbl 1258.37077
Ih, Su-Ion; Tucker, Thomas J.
3
2010
Bounded height in families of dynamical systems. Zbl 1431.37076
De Marco, Laura; Ghioca, Dragos; Krieger, Holly; Nguyen, Khoa Dang; Tucker, Thomas; Ye, Hexi
2
2019
A variant of a theorem by Ailon-Rudnick for elliptic curves. Zbl 1450.11061
Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J.
2
2018
On a variant of the Ailon-Rudnick theorem in finite characteristic. Zbl 1416.11111
Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J.
2
2017
Integral points in two-parameter orbits. Zbl 1329.14049
Corvaja, Pietro; Sookdeo, Vijay; Tucker, Thomas J.; Zannier, Umberto
2
2015
Irreducibility, Brill-Noether loci, and Vojta’s inequality (with an appendix by Oliver Debarre). Zbl 1018.11030
Tucker, Thomas J.
2
2002
Unlikely intersection for two-parameter families of polynomials. Zbl 1404.37122
Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J.
1
2016
One half log discriminant. Zbl 1137.14015
Szpiro, Lucien; Tucker, Thomas J.
1
2007
How Hamiltonian can a finite group be? Zbl 0694.20012
Sherman, Gary J.; Tucker, Thomas J.; Walker, Mark E.
1
1991
Current trends and open problems in arithmetic dynamics. Zbl 07124524
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Silverman, Joseph H.; Tucker, Thomas J.
4
2019
Finite index theorems for iterated Galois groups of cubic polynomials. Zbl 07051737
Bridy, Andrew; Tucker, Thomas J.
4
2019
Bounded height in families of dynamical systems. Zbl 1431.37076
De Marco, Laura; Ghioca, Dragos; Krieger, Holly; Nguyen, Khoa Dang; Tucker, Thomas; Ye, Hexi
2
2019
\(ABC\) implies a Zsigmondy principle for ramification. Zbl 1407.37128
Bridy, Andrew; Tucker, Thomas J.
3
2018
A variant of a theorem by Ailon-Rudnick for elliptic curves. Zbl 1450.11061
Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J.
2
2018
Greatest common divisors of iterates of polynomials. Zbl 1392.37103
Hsia, Liang-Chung; Tucker, Thomas
3
2017
On a variant of the Ailon-Rudnick theorem in finite characteristic. Zbl 1416.11111
Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J.
2
2017
The dynamical Mordell-Lang conjecture. Zbl 1362.11001
Bell, Jason P.; Ghioca, Dragos; Tucker, Thomas J.
16
2016
Unlikely intersection for two-parameter families of polynomials. Zbl 1404.37122
Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J.
1
2016
Portraits of preperiodic points for rational maps. Zbl 1371.11109
Ghioca, Dragos; Nguyen, Khoa; Tucker, Thomas J.
8
2015
Preperiodic points for families of rational maps. Zbl 1317.37112
Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J.
7
2015
Applications of \(p\)-adic analysis for bounding periods of subvarieties under étale maps. Zbl 1349.14002
Bell, Jason Pierre; Ghioca, Dragos; Tucker, Thomas John
6
2015
The dynamical Mordell-Lang problem for Noetherian spaces. Zbl 1388.37086
Bell, Jason P.; Ghioca, Dragos; Tucker, Thomas J.
5
2015
Uniform boundedness of \(S\)-units in arithmetic dynamics. Zbl 1403.37102
Krieger, Holly; Levin, Aaron; Scherr, Zachary; Tucker, Thomas; Yasufuku, Yu; Zieve, Michael E.
3
2015
Integral points in two-parameter orbits. Zbl 1329.14049
Corvaja, Pietro; Sookdeo, Vijay; Tucker, Thomas J.; Zannier, Umberto
2
2015
\(ABC\) implies primitive prime divisors in arithmetic dynamics. Zbl 1291.37121
Gratton, C.; Nguyen, K.; Tucker, T. J.
22
2013
Periods of rational maps modulo primes. Zbl 1317.37111
Benedetto, Robert L.; Ghioca, Dragos; Hutz, Benjamin; Kurlberg, Pär; Scanlon, Thomas; Tucker, Thomas J.
15
2013
Preperiodic points for families of polynomials. Zbl 1323.37056
Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J.
7
2013
A case of the dynamical Mordell-Lang conjecture. Zbl 1285.37021
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Pär; Tucker, Thomas J.
18
2012
Linear relations between polynomial orbits. Zbl 1267.37043
Ghioca, Dragos; Tucker, Thomas J.; Zieve, Michael E.
13
2012
Equidistribution and generalized Mahler measures. Zbl 1283.37075
Szpiro, L.; Tucker, T. J.
8
2012
A dynamical pairing between two rational maps. Zbl 1300.37052
Petsche, Clayton; Szpiro, Lucien; Tucker, Thomas J.
5
2012
Towards a dynamical Manin-Mumford conjecture. Zbl 1267.37110
Ghioca, Dragos; Tucker, Thomas J.; Zhang, Shouwu
16
2011
The Mordell-Lang question for endomorphisms of semiabelian varieties. Zbl 1256.14046
Ghioca, Dragos; Tucker, Thomas; Zieve, Michael E.
7
2011
The dynamical Mordell-Lang problem for étale maps. Zbl 1230.37112
Bell, J. P.; Ghioca, D.; Tucker, T. J.
23
2010
A gap principle for dynamics. Zbl 1209.37115
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Pär; Tucker, Thomas J.
7
2010
Proof of a dynamical Bogomolov conjecture for lines under polynomial actions. Zbl 1187.37134
Ghioca, Dragos; Tucker, Thomas J.
7
2010
A finiteness property for preperiodic points of Chebyshev polynomials. Zbl 1258.37077
Ih, Su-Ion; Tucker, Thomas J.
3
2010
Periodic points, linearizing maps, and the dynamical Mordell-Lang problem. Zbl 1186.14047
Ghioca, Dragos; Tucker, T. J.
28
2009
Uniform bounds on pre-images under quadratic dynamical systems. Zbl 1222.11086
Faber, Xander; Hutz, Benjamin; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Tucker, Thomas J.; Zieve, Michael E.
4
2009
Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture. Zbl 1191.14027
Ghioca, Dragos; Tucker, Thomas J.; Zieve, Michael E.
27
2008
Equidistribution and integral points for Drinfeld modules. Zbl 1178.11046
Ghioca, D.; Tucker, T. J.
9
2008
A Shafarevich-Faltings theorem for rational functions. Zbl 1168.14020
Szpiro, Lucien; Tucker, Thomas J.
8
2008
A dynamical version of the Mordell-Lang conjecture for the additive group. Zbl 1169.11024
Ghioca, D.; Tucker, T. J.
8
2008
Exceptional covers and bijections on rational points. Zbl 1127.14023
Guralnick, Robert M.; Tucker, Thomas J.; Zieve, Michael E.
12
2007
Siegel’s theorem for Drinfeld modules. Zbl 1170.11012
Ghioca, D.; Tucker, T. J.
7
2007
One half log discriminant. Zbl 1137.14015
Szpiro, Lucien; Tucker, Thomas J.
1
2007
Mahler measure for dynamical systems on \(\mathbb P^1\) and intersection theory on a singular arithmetic surface. Zbl 1101.11020
Pineiro, Jorge; Szpiro, Lucien; Tucker, Thomas J.
8
2005
The number of fields generated by the square root of values of a given polynomial. Zbl 1044.11087
Cutter, Pamela; Granville, Andrew; Tucker, Thomas J.
5
2003
It’s as easy as \(abc\). Zbl 1160.11318
Granville, Andrew; Tucker, Thomas J.
20
2002
Thue equations and the method of Chabauty-Coleman. Zbl 1048.11023
Lorenzini, Dino; Tucker, Thomas J.
14
2002
Irreducibility, Brill-Noether loci, and Vojta’s inequality (with an appendix by Oliver Debarre). Zbl 1018.11030
Tucker, Thomas J.
2
2002
Dirichlet’s theorem, Vojta’s inequality, and Vojta’s conjecture. Zbl 0933.11033
Song, Xiangjun; Tucker, Thomas J.
6
1999
How Hamiltonian can a finite group be? Zbl 0694.20012
Sherman, Gary J.; Tucker, Thomas J.; Walker, Mark E.
1
1991
all top 5

Cited by 211 Authors

32 Ghioca, Dragos
22 Tucker, Thomas John
11 Shparlinski, Igor E.
9 Hindes, Wade
7 Nguyen, Khoa Dang
7 Ostafe, Alina
7 Silverman, Joseph Hillel
6 Hsia, Liang-Chung
6 Petsche, Clayton
5 Bell, Jason P.
5 Jones, Rafe
5 Levin, Aaron
5 Scanlon, Thomas J.
4 Benedetto, Robert L.
4 Bridy, Andrew
4 Doyle, John R.
4 Favre, Charles
4 Juul, Jamie
4 Sha, Min
4 Yasufuku, Yu
4 Zieve, Michael E.
3 Baker, Matthew H.
3 DeMarco, Laura Grace
3 Faber, Xander
3 Ferraguti, Andrea
3 Huang, Keping
3 Hutz, Benjamin
3 Kurlberg, Pär
3 Micheli, Giacomo
3 Poonen, Bjorn
3 Stoll, Michael
3 Stout, Brian Justin
3 Towsley, Adam
3 Xie, Junyi
2 Akbary, Amir
2 Amerik, Ekaterina Yu.
2 Croot, Ernie
2 D’Andrea, Carlos
2 Dyakonov, Konstantin M.
2 Gassert, Thomas Alden
2 Gauthier, Thomas
2 Granville, Andrew James
2 Ih, Su-ion
2 Ingram, Patrick
2 Katz, Eric
2 Krieger, Holly
2 Looper, Nicole R.
2 Luca, Florian
2 Manes, Michelle
2 Mans, Bernard
2 Okuyama, Yûsuke
2 Rivera-Letelier, Juan
2 Satriano, Matthew
2 Sierra, Susan J.
2 Sombra, Martín
2 Wang, Mingxi
2 Ye, Hexi
2 Zannier, Umberto M.
1 Ahearn, Stephen T.
1 Amini, Omid
1 Autissier, Pascal
1 Bartoli, Daniele
1 Bektemirov, Baur
1 Berteloot, François
1 Bettinelli, Andrea
1 Bhatnagar, Nayantara
1 Bisson, Gaetan
1 Bogomolov, Fedor Alekseivich
1 Borisov, Alexander B.
1 Breuillard, Emmanuel
1 Burnette, Charles
1 Cahn, Jordan
1 Calderini, Marco
1 Canci, Jung Kyu
1 Chambert-Loir, Antoine
1 Chang, Mei-Chu
1 Cheng, Eddie
1 Ciliberto, Ciro
1 Cilleruelo, Javier
1 Coccia, Simone
1 Corvaja, Pietro
1 da Silva, Natalia
1 de Jong, Robin
1 DeMark, David
1 Dietmann, Rainer
1 Dubickas, Artūras
1 Dujardin, Romain
1 Dupont, Christophe
1 Elsholtz, Christian
1 Etessami, Kousha
1 Faber, X. W. C.
1 Fili, Paul A.
1 Flynn, Eugene Victor
1 Formanek, Edward W.
1 Fried, Michael David
1 Goksel, Vefa
1 Gonçalves, Jairo Zacarias
1 Gopalan, Parikshit
1 Grant, David M.
1 Gregor, Aryeh
...and 111 more Authors
all top 5

Cited in 71 Serials

21 Journal of Number Theory
20 Transactions of the American Mathematical Society
11 Proceedings of the American Mathematical Society
8 Mathematische Annalen
8 International Journal of Number Theory
6 Advances in Mathematics
6 Compositio Mathematica
6 Monatshefte für Mathematik
5 Ergodic Theory and Dynamical Systems
5 Journal de Théorie des Nombres de Bordeaux
4 Journal of Algebra
4 Annals of Mathematics. Second Series
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Acta Arithmetica
3 Annales de l’Institut Fourier
3 Bulletin of the London Mathematical Society
3 Duke Mathematical Journal
3 Forum Mathematicum
3 Bulletin of the American Mathematical Society. New Series
3 Experimental Mathematics
3 Algebra & Number Theory
2 Israel Journal of Mathematics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Archiv der Mathematik
2 Functiones et Approximatio. Commentarii Mathematici
2 Manuscripta Mathematica
2 Mathematische Zeitschrift
2 Michigan Mathematical Journal
2 Pacific Journal of Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Designs, Codes and Cryptography
2 Finite Fields and their Applications
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Systems Science and Complexity
1 American Mathematical Monthly
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Journal of Combinatorial Theory. Series B
1 Journal of Computer and System Sciences
1 Journal of the Mathematical Society of Japan
1 Journal of Pure and Applied Algebra
1 Theoretical Computer Science
1 Annals of Pure and Applied Logic
1 Graphs and Combinatorics
1 Revista Matemática Iberoamericana
1 SIAM Journal on Discrete Mathematics
1 Elemente der Mathematik
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 St. Petersburg Mathematical Journal
1 The New York Journal of Mathematics
1 Discrete and Continuous Dynamical Systems
1 Documenta Mathematica
1 The Ramanujan Journal
1 Acta Mathematica Sinica. English Series
1 Integers
1 Computational Methods and Function Theory
1 Journal of the Institute of Mathematics of Jussieu
1 Analysis in Theory and Applications
1 Albanian Journal of Mathematics
1 Science China. Mathematics
1 Forum of Mathematics, Pi
1 ACM Transactions on Computation Theory
1 Research in Number Theory
1 PUMP Journal of Undergraduate Research

Citations by Year