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## Poonen, Bjorn

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 Author ID: poonen.bjorn Published as: Poonen, B.; Poonen, Bjorn; Poonen, Björn Homepage: https://math.mit.edu/~poonen/ External Links: MGP · Wikidata · GND
 Documents Indexed: 124 Publications since 1988, including 5 Books Reviewing Activity: 13 Reviews
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#### Co-Authors

 59 single-authored 6 Stoll, Michael 5 Coffman, Edward Grady jun. 4 Belabas, Karim 4 Rains, Eric M. 3 Flatto, Leopold 3 Howe, Everett W. 3 Jordan, Bruce W. 3 Kedlaya, Kiran Sridhara 3 Rodriguez-Villegas, Fernando 3 Schaefer, Edward F. 2 Baker, Matthew H. 2 Buium, Alexandru 2 Calderbank, Arthur Robert 2 Charles, François 2 Elkies, Noam David 2 Lagarias, Jeffrey C. 2 Leprévost, Franck 2 McCallum, William G. 2 Rubinstein, Michael O. 2 Shlapentokh, Alexandra 2 Vakil, Ravi 2 Voloch, José Felipe 2 Zieve, Michael E. 1 Anderson, Jacqueline 1 Berry, Neil 1 Beukers, Frits 1 Bhargava, Manjul 1 Bleher, Frauke M. 1 Bruin, Nils 1 Chinburg, Ted 1 Colliot-Thélène, Jean-Louis 1 Conrey, John Brian 1 Cruz-Filipe, Luís 1 Davenport, James Harold 1 de Melo, Welington 1 Dembo, Amir 1 Doyle, John R. 1 Dubickas, Artūras 1 Duursma, Iwan Maynard 1 Fan, C. Kenneth 1 Feldmann, Anja 1 Flynn, Eugene Victor 1 Gaudry, Pierrick 1 Gonzáles, Josep 1 González-Jiménez, Enrique 1 Granville, Andrew James 1 Hamblen, Spencer 1 Helfgott, Harald Andrés 1 Hrushovski, Ehud 1 Jarden, Moshe 1 Jelenković jun., Predrag 1 Kahale, Nabil 1 Kane, Daniel M. 1 Keeton, Allan G. 1 Klagsbrun, Zev 1 Kresch, Andrew 1 Lenstra, Hendrik W. jun. 1 Li, Wen-Ch’ing Winnie 1 Loeser, François 1 Mallows, Colin Lingwood 1 Maulik, Davesh 1 Maynard, James 1 McGuire, Gary 1 Miller, Russell G. 1 Odlyzko, Andrew M. 1 Park, Jennifer 1 Plaxton, C. Greg 1 Poonen, George 1 Pop, Florian 1 Quasterl, Jeremy 1 Schoutens, Hans 1 Shao, Qi-Man 1 Shepherd-Barron, Nicholas Ian 1 Siksek, Samir 1 Skinner, Christopher M. 1 Smyth, Christopher J. 1 Soundararajan, Kannan 1 Suel, Torsten 1 Symonds, Peter 1 Tate, John Torrence jun. 1 Testa, Damiano 1 Tiep Pham Huu 1 Tschinkel, Yuri 1 van Luijk, Ronald M. 1 Voight, John Michael 1 Walton, Laura 1 Watkins, Mark James 1 Wetherell, Joseph L. 1 Winkler, Peter M. 1 Wood, Melanie Matchett 1 Wright, Margaret H. 1 Wright, Paul E. 1 Zagier, Don Bernard 1 Zaytman, Yevgeny 1 Zeitouni, Ofer 1 Zorich, Anton
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#### Serials

 10 Mathematical Research Letters 7 Duke Mathematical Journal 7 Journal of the American Mathematical Society 6 Compositio Mathematica 5 Annals of Mathematics. Second Series 4 IMRN. International Mathematics Research Notices 3 Acta Arithmetica 3 L’Enseignement Mathématique. 2e Série 3 Journal of the European Mathematical Society (JEMS) 3 Oberwolfach Reports 2 American Mathematical Monthly 2 IEEE Transactions on Information Theory 2 Mathematics Magazine 2 American Journal of Mathematics 2 Bulletin of the London Mathematical Society 2 Journal of Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Notices of the American Mathematical Society 2 Experimental Mathematics 2 Journal de Théorie des Nombres de Bordeaux 1 Annales de l’Institut Fourier 1 The Fibonacci Quarterly 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal of Number Theory 1 The Journal of Symbolic Logic 1 Mathematische Zeitschrift 1 Theoretical Computer Science 1 Journal of Algorithms 1 Ergodic Theory and Dynamical Systems 1 Probability Theory and Related Fields 1 Algorithmica 1 SIAM Journal on Discrete Mathematics 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 1 The Annals of Applied Probability 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 SIAM Journal on Optimization 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences (New York) 1 Finite Fields and their Applications 1 Documenta Mathematica 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Probability in the Engineering and Informational Sciences 1 The Quarterly Journal of Mathematics 1 Graduate Studies in Mathematics 1 Progress in Mathematics 1 Panoramas et Synthèses 1 Forum of Mathematics, Sigma 1 Cambridge Journal of Mathematics 1 Tunisian Journal of Mathematics
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#### Fields

 89 Number theory (11-XX) 68 Algebraic geometry (14-XX) 11 Mathematical logic and foundations (03-XX) 8 Field theory and polynomials (12-XX) 7 General and overarching topics; collections (00-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Computer science (68-XX) 4 Combinatorics (05-XX) 3 Commutative algebra (13-XX) 3 Probability theory and stochastic processes (60-XX) 3 Information and communication theory, circuits (94-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Convex and discrete geometry (52-XX) 2 Operations research, mathematical programming (90-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 $$K$$-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

102 Publications have been cited 1,212 times in 976 Documents Cited by Year
Bertini theorems over finite fields. Zbl 1084.14026
Poonen, Bjorn
2005
The Cassels-Tate pairing on polarized Abelian varieties. Zbl 1024.11040
Poonen, Bjorn; Stoll, Michael
1999
Cycles of quadratic polynomials and rational points on a genus-2 curve. Zbl 0958.11024
Flynn, E. V.; Poonen, Bjorn; Schaefer, Edward F.
1997
Zeros of polynomials with $$0, 1$$ coefficients. Zbl 0814.30006
Odlyzko, A. M.; Poonen, B.
1993
Explicit descent for Jacobians of cyclic covers of the projective line. Zbl 0888.11023
Poonen, Bjorn; Schaefer, Edward F.
1997
The classification of rational preperiodic points of quadratic polynomials over $$\mathbb{Q}$$: A refined conjecture. Zbl 0902.11025
Poonen, Bjorn
1998
Twists of $$X(7)$$ and primitive solutions to $$x^2+y^3=z^7$$. Zbl 1124.11019
Poonen, Bjorn; Schaefer, Edward F.; Stoll, Michael
2007
Isomorphism types of commutative algebras of finite rank over an algebraic closed field. Zbl 1155.13015
Poonen, Bjorn
2008
The method of Chabauty and Coleman. Zbl 1377.11077
McCallum, William; Poonen, Bjorn
2012
Squarefree values of multivariable polynomials. Zbl 1047.11021
Poonen, Bjorn
2003
Hilbert’s Tenth Problem and Mazur’s Conjecture for large subrings of $$\mathbb{Q}$$. Zbl 1028.11077
Poonen, Bjorn
2003
Finiteness results for modular curves of genus at least 2. Zbl 1127.11041
Baker, Matthew H.; González-Jiménez, Enrique; Gonzáles, Josep; Poonen, Bjorn
2005
The Grothendieck ring of varieties is not a domain. Zbl 1054.14505
Poonen, Bjorn
2002
Large torsion subgroups of split Jacobians of curves of genus two or three. Zbl 0983.11037
Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn
2000
Random maximal isotropic subspaces and Selmer groups. Zbl 1294.11097
Poonen, Bjorn; Rains, Eric
2012
Local height functions and the Mordell-Weil theorem for Drinfeld modules. Zbl 0839.11024
Poonen, Bjorn
1995
A computable functor from graphs to fields. Zbl 1447.03005
Miller, Russell; Poonen, Bjorn; Schoutens, Hans; Shlapentokh, Alexandra
2018
Random polynomials having few or no real zeros. Zbl 1002.60045
Dembo, Amir; Poonen, Bjorn; Shao, Qi-Man; Zeitouni, Ofer
2002
Maximally complete fields. Zbl 0807.12006
Poonen, Bjorn
1993
Using elliptic curves of rank one towards the undecidability of Hilbert’s tenth problem over rings of algebraic integers. Zbl 1057.11068
Poonen, Bjorn
2002
Rational points on varieties. Zbl 1387.14004
Poonen, Bjorn
2017
Mordell-Lang plus Bogomolov. Zbl 0995.11040
Poonen, Bjorn
1999
Union-closed families. Zbl 0758.05096
Poonen, Bjorn
1992
Random Diophantine equations. With appendices by Jean-Louis Colliot-Thélène and Nicholas M. Katz. Zbl 1208.11050
Poonen, Bjorn; Voloch, José Felipe
2004
Insufficiency of the Brauer-Manin obstruction applied to étale covers. Zbl 1284.11096
Poonen, Bjorn
2010
Zeros of Fekete polynomials. Zbl 1007.11053
Conrey, Brian; Granville, Andrew; Poonen, Bjorn; Soundararajan, K.
2000
Generalized explicit descent and its application to curves of genus 3. Zbl 1408.11065
Bruin, Nils; Poonen, Bjorn; Stoll, Michael
2016
Néron-Severi groups under specialization. Zbl 1248.14011
Maulik, Davesh; Poonen, Bjorn
2012
Gonality of modular curves in characteristic $$p$$. Zbl 1138.14016
Poonen, Bjorn
2007
Heuristics for the Brauer-Manin obstruction for curves. Zbl 1173.11040
Poonen, Bjorn
2006
The zeta function of the beta transformation. Zbl 0843.58106
Flatto, Leopold; Lagarias, Jeffrey C.; Poonen, Bjorn
1994
Packing random intervals on-line. Zbl 0914.68082
Coffman, E. G. jun.; Flatto, L.; Jelenković, P.; Poonen, B.
1998
Lattice polygons and the number 12. Zbl 0988.52024
Poonen, Bjorn; Rodriguez-Villegas, Fernando
2000
Characterizing integers among rational numbers with a universal-existential formula. Zbl 1179.11047
Poonen, Bjorn
2009
Independence of points on elliptic curves arising from special points on modular and Shimura curves. II: Local results. Zbl 1232.11073
Buium, Alexandru; Poonen, Bjorn
2009
Undecidability in number theory. Zbl 1194.03018
Poonen, Bjorn
2008
The moduli space of commutative algebras of finite rank. Zbl 1151.14011
Poonen, Bjorn
2008
Diophantine definability of infinite discrete nonarchimedean sets and Diophantine models over large subrings of number field. Zbl 1139.11056
Poonen, Bjorn; Shlapentokh, Alexandra
2005
Algebraic families of nonzero elements of Shafarevich-Tate groups. Zbl 0951.11022
Colliot-Thélène, Jean-Louis; Poonen, Bjorn
2000
Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves. Zbl 1329.14071
Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W. jun.; Poonen, Bjorn; Rains, Eric
2015
Berkovich spaces embed in Euclidean spaces. Zbl 1325.14040
Hrushovski, Ehud; Loeser, François; Poonen, Bjorn
2014
The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields. Zbl 1294.11110
Poonen, Bjorn; Voloch, José Felipe
2010
Computational aspects of curves of genus at least 2. Zbl 0891.11037
Poonen, Bjorn
1996
Most odd degree hyperelliptic curves have only one rational point. Zbl 1303.11073
Poonen, Bjorn; Stoll, Michael
2014
Existence of rational points on smooth projective varieties. Zbl 1183.14032
Poonen, Bjorn
2009
An explicit algebraic family of genus-one curves violating the Hasse principle. Zbl 1046.11038
Poonen, Bjorn
2001
On a conjecture of Helleseth regarding pairs of binary $$m$$-sequences. Zbl 0943.94513
Calderbank, A. R.; McGuire, Gary; Poonen, Bjorn; Rubinstein, Michael
1996
Smooth hypersurface sections containing a given subscheme over a finite field. Zbl 1207.14047
Poonen, Bjorn
2008
The number of intersection points made by the diagonals of a regular polygon. Zbl 0913.51005
Poonen, Bjorn; Rubinstein, Michael
1998
Torsion in rank 1 Drinfeld modules and the uniform boundedness conjecture. Zbl 0891.11034
Poonen, Bjorn
1997
Bertini irreducibility theorems over finite fields. Zbl 1327.14233
Charles, François; Poonen, Bjorn
2016
Computing Néron-Severi groups and cycle class groups. Zbl 1316.14017
Poonen, Bjorn; Testa, Damiano; van Luijk, Ronald
2015
Curves of every genus with many points. II: Asymptotically good families. Zbl 1072.11041
Elkies, Noam D.; Howe, Everett W.; Kresch, Andrew; Poonen, Bjorn; Wetherell, Joseph L.; Zieve, Michael E.
2004
Computing torsion points on curves. Zbl 1063.11017
Poonen, Bjorn
2001
Automorphisms of Harbater-Katz-Gabber curves. Zbl 1372.14022
Bleher, Frauke M.; Chinburg, Ted; Poonen, Bjorn; Symonds, Peter
2017
Self cup products and the theta characteristic torsor. Zbl 1297.18005
Poonen, Bjorn; Rains, Eric
2011
First-order characterization of function field invariants over large fields. Zbl 1174.03015
Poonen, Bjorn; Pop, Florian
2008
Computing rational points on curves. Zbl 1038.11037
Poonen, Bjorn
2002
Varieties without extra automorphisms. II: Hyperelliptic curves. Zbl 0966.14020
Poonen, Bjorn
2000
A local-global principle for densities. Zbl 1024.11047
Poonen, Bjorn; Stoll, Michael
1999
A 2-adic approach to the analysis of cyclic codes. Zbl 0898.94011
Calderbank, A. R.; Li, Wen-Ching Winnie; Poonen, Bjorn
1997
Packing random intervals. Zbl 0819.60013
Coffman, E. G. jun.; Poonen, Bjorn; Winkler, Peter
1995
Convergence of the restricted Nelder-Mead algorithm in two dimensions. Zbl 1246.49029
Lagarias, Jeffrey C.; Poonen, Bjorn; Wright, Margaret H.
2012
The set of nonsquares in a number field is diophantine. Zbl 1183.14031
Poonen, Bjorn
2009
Varieties without extra automorphisms. III: Hypersurfaces. Zbl 1076.14053
Poonen, Bjorn
2005
Some diophantine equations of the form $$x^n+y^n=z^m$$. Zbl 0930.11017
Poonen, Bjorn
1998
Parking arcs on the circle with applications to one-dimensional communication networks. Zbl 0812.60090
Coffman, E. G. jun.; Mallows, C. L.; Poonen, Bjorn
1994
Abelian varieties isogenous to a power of an elliptic curve. Zbl 1400.14116
Jordan, Bruce W.; Keeton, Allan G.; Poonen, Bjorn; Rains, Eric M.; Shepherd-Barron, Nicholas; Tate, John T.
2018
Undecidable problems: a sampler. Zbl 1358.03063
Poonen, Bjorn
2014
$$p$$-adic interpolation of iterates. Zbl 1291.11135
Poonen, Bjorn
2014
Average rank of elliptic curves [after Manjul Bhargava and Arul Shankar]. Zbl 1295.11065
Poonen, Bjorn
2013
Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002
Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark
2012
Independence of points on elliptic curves arising from special points on modular and Shimura curves. I: Global results. Zbl 1177.11050
Buium, Alexandru; Poonen, Bjorn
2009
Uniform first-order definitions in finitely generated fields. Zbl 1197.12005
Poonen, Bjorn
2007
The conjugate dimension of algebraic numbers. Zbl 1062.11064
Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris
2004
Torsion packets on curves. Zbl 0987.14020
Baker, Matthew; Poonen, Bjorn
2001
Varieties without extra automorphisms. I: Curves. Zbl 0966.14019
Poonen, Bjorn
2000
Drinfeld modules with no supersingular primes. Zbl 0898.11024
Poonen, Bjorn
1998
Extending self-maps to projective space over finite fields. Zbl 1303.14014
Poonen, Bjorn
2013
Orbits of automorphism groups of fields. Zbl 1132.12002
Kedlaya, Kiran S.; Poonen, Bjorn
2005
Improved lower bounds for Shellsort. Zbl 0977.68532
Plaxton, C. Greg; Poonen, Bjorn; Suel, Torsten
1992
Gonality of dynatomic curves and strong uniform boundedness of preperiodic points. Zbl 1445.37080
Doyle, John R.; Poonen, Bjorn
2020
A heuristic for boundedness of ranks of elliptic curves. Zbl 07117722
Park, Jennifer; Poonen, Bjorn; Voight, John; Wood, Melanie Matchett
2019
Automorphisms mapping a point into a subvariety. Zbl 1229.14032
Poonen, Bjorn
2011
Curves over every global field violating the local-global principle. Zbl 1294.11108
Poonen, B.
2010
Arithmetic of higher-dimensional algebraic varieties. Proceedings of the workshop on rational and integral points of higher-dimensional varieties, Palo Alto, CA, USA, December 11–20, 2002. Zbl 1054.11006
Poonen, Bjorn (ed.); Tschinkel, Yuri (ed.)
2004
Spans of Hecke points on modular curves. Zbl 1081.11043
Poonen, Bjorn
2001
The Hasse principle for complete intersections in projective space. Zbl 1079.14027
Poonen, Bjorn
2001
Zeros of sparse polynomials over local fields of characteristic $$p$$. Zbl 0931.11053
Poonen, Bjorn
1998
Large torsion subgroups of split Jacobians of curves of genus 2. Zbl 0895.11027
Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn
1996
Fractional power series and pairings on Drinfeld modules. Zbl 0861.13010
Poonen, Bjorn
1996
The worst case in shellsort and related algorithms. Zbl 0784.68044
Poonen, Bjorn
1993
Periodicity of a combinatorial sequence. Zbl 0644.10012
Poonen, Bjorn
1988
Galois points on varieties. Zbl 1425.11132
Jarden, Moshe; Poonen, Bjorn
2016
Multivariable polynomial injections on rational numbers. Zbl 1261.11030
Poonen, Bjorn
2010
Elliptic curves. Zbl 1214.11073
Poonen, Bjorn
2008
Sieve methods for varieties over finite fields and arithmetic schemes. Zbl 1149.11031
Poonen, Bjorn
2007
Multiples of subvarieties in algebraic groups over finite fields. Zbl 1082.14028
Poonen, Bjorn
2005
Unramified covers of Galois covers of low genus curves. Zbl 1082.14035
Poonen, Bjorn
2005
The William Lowell Putnam mathematical competition 1985–2000. Problems, solutions, and commentary. Zbl 1005.00003
Kedlaya, Kiran S.; Poonen, Bjorn; Vakil, Ravi
2002
Gonality of dynatomic curves and strong uniform boundedness of preperiodic points. Zbl 1445.37080
Doyle, John R.; Poonen, Bjorn
2020
A heuristic for boundedness of ranks of elliptic curves. Zbl 07117722
Park, Jennifer; Poonen, Bjorn; Voight, John; Wood, Melanie Matchett
2019
A computable functor from graphs to fields. Zbl 1447.03005
Miller, Russell; Poonen, Bjorn; Schoutens, Hans; Shlapentokh, Alexandra
2018
Abelian varieties isogenous to a power of an elliptic curve. Zbl 1400.14116
Jordan, Bruce W.; Keeton, Allan G.; Poonen, Bjorn; Rains, Eric M.; Shepherd-Barron, Nicholas; Tate, John T.
2018
Rational points on varieties. Zbl 1387.14004
Poonen, Bjorn
2017
Automorphisms of Harbater-Katz-Gabber curves. Zbl 1372.14022
Bleher, Frauke M.; Chinburg, Ted; Poonen, Bjorn; Symonds, Peter
2017
Generalized explicit descent and its application to curves of genus 3. Zbl 1408.11065
Bruin, Nils; Poonen, Bjorn; Stoll, Michael
2016
Bertini irreducibility theorems over finite fields. Zbl 1327.14233
Charles, François; Poonen, Bjorn
2016
Galois points on varieties. Zbl 1425.11132
Jarden, Moshe; Poonen, Bjorn
2016
Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves. Zbl 1329.14071
Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W. jun.; Poonen, Bjorn; Rains, Eric
2015
Computing Néron-Severi groups and cycle class groups. Zbl 1316.14017
Poonen, Bjorn; Testa, Damiano; van Luijk, Ronald
2015
Berkovich spaces embed in Euclidean spaces. Zbl 1325.14040
Hrushovski, Ehud; Loeser, François; Poonen, Bjorn
2014
Most odd degree hyperelliptic curves have only one rational point. Zbl 1303.11073
Poonen, Bjorn; Stoll, Michael
2014
Undecidable problems: a sampler. Zbl 1358.03063
Poonen, Bjorn
2014
$$p$$-adic interpolation of iterates. Zbl 1291.11135
Poonen, Bjorn
2014
Average rank of elliptic curves [after Manjul Bhargava and Arul Shankar]. Zbl 1295.11065
Poonen, Bjorn
2013
Extending self-maps to projective space over finite fields. Zbl 1303.14014
Poonen, Bjorn
2013
The method of Chabauty and Coleman. Zbl 1377.11077
McCallum, William; Poonen, Bjorn
2012
Random maximal isotropic subspaces and Selmer groups. Zbl 1294.11097
Poonen, Bjorn; Rains, Eric
2012
Néron-Severi groups under specialization. Zbl 1248.14011
Maulik, Davesh; Poonen, Bjorn
2012
Convergence of the restricted Nelder-Mead algorithm in two dimensions. Zbl 1246.49029
Lagarias, Jeffrey C.; Poonen, Bjorn; Wright, Margaret H.
2012
Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002
Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark
2012
Self cup products and the theta characteristic torsor. Zbl 1297.18005
Poonen, Bjorn; Rains, Eric
2011
Automorphisms mapping a point into a subvariety. Zbl 1229.14032
Poonen, Bjorn
2011
Insufficiency of the Brauer-Manin obstruction applied to étale covers. Zbl 1284.11096
Poonen, Bjorn
2010
The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields. Zbl 1294.11110
Poonen, Bjorn; Voloch, José Felipe
2010
Curves over every global field violating the local-global principle. Zbl 1294.11108
Poonen, B.
2010
Multivariable polynomial injections on rational numbers. Zbl 1261.11030
Poonen, Bjorn
2010
Characterizing integers among rational numbers with a universal-existential formula. Zbl 1179.11047
Poonen, Bjorn
2009
Independence of points on elliptic curves arising from special points on modular and Shimura curves. II: Local results. Zbl 1232.11073
Buium, Alexandru; Poonen, Bjorn
2009
Existence of rational points on smooth projective varieties. Zbl 1183.14032
Poonen, Bjorn
2009
The set of nonsquares in a number field is diophantine. Zbl 1183.14031
Poonen, Bjorn
2009
Independence of points on elliptic curves arising from special points on modular and Shimura curves. I: Global results. Zbl 1177.11050
Buium, Alexandru; Poonen, Bjorn
2009
Isomorphism types of commutative algebras of finite rank over an algebraic closed field. Zbl 1155.13015
Poonen, Bjorn
2008
Undecidability in number theory. Zbl 1194.03018
Poonen, Bjorn
2008
The moduli space of commutative algebras of finite rank. Zbl 1151.14011
Poonen, Bjorn
2008
Smooth hypersurface sections containing a given subscheme over a finite field. Zbl 1207.14047
Poonen, Bjorn
2008
First-order characterization of function field invariants over large fields. Zbl 1174.03015
Poonen, Bjorn; Pop, Florian
2008
Elliptic curves. Zbl 1214.11073
Poonen, Bjorn
2008
Twists of $$X(7)$$ and primitive solutions to $$x^2+y^3=z^7$$. Zbl 1124.11019
Poonen, Bjorn; Schaefer, Edward F.; Stoll, Michael
2007
Gonality of modular curves in characteristic $$p$$. Zbl 1138.14016
Poonen, Bjorn
2007
Uniform first-order definitions in finitely generated fields. Zbl 1197.12005
Poonen, Bjorn
2007
Sieve methods for varieties over finite fields and arithmetic schemes. Zbl 1149.11031
Poonen, Bjorn
2007
Heuristics for the Brauer-Manin obstruction for curves. Zbl 1173.11040
Poonen, Bjorn
2006
Bertini theorems over finite fields. Zbl 1084.14026
Poonen, Bjorn
2005
Finiteness results for modular curves of genus at least 2. Zbl 1127.11041
Baker, Matthew H.; González-Jiménez, Enrique; Gonzáles, Josep; Poonen, Bjorn
2005
Diophantine definability of infinite discrete nonarchimedean sets and Diophantine models over large subrings of number field. Zbl 1139.11056
Poonen, Bjorn; Shlapentokh, Alexandra
2005
Varieties without extra automorphisms. III: Hypersurfaces. Zbl 1076.14053
Poonen, Bjorn
2005
Orbits of automorphism groups of fields. Zbl 1132.12002
Kedlaya, Kiran S.; Poonen, Bjorn
2005
Multiples of subvarieties in algebraic groups over finite fields. Zbl 1082.14028
Poonen, Bjorn
2005
Unramified covers of Galois covers of low genus curves. Zbl 1082.14035
Poonen, Bjorn
2005
Random Diophantine equations. With appendices by Jean-Louis Colliot-Thélène and Nicholas M. Katz. Zbl 1208.11050
Poonen, Bjorn; Voloch, José Felipe
2004
Curves of every genus with many points. II: Asymptotically good families. Zbl 1072.11041
Elkies, Noam D.; Howe, Everett W.; Kresch, Andrew; Poonen, Bjorn; Wetherell, Joseph L.; Zieve, Michael E.
2004
The conjugate dimension of algebraic numbers. Zbl 1062.11064
Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris
2004
Arithmetic of higher-dimensional algebraic varieties. Proceedings of the workshop on rational and integral points of higher-dimensional varieties, Palo Alto, CA, USA, December 11–20, 2002. Zbl 1054.11006
Poonen, Bjorn (ed.); Tschinkel, Yuri (ed.)
2004
Squarefree values of multivariable polynomials. Zbl 1047.11021
Poonen, Bjorn
2003
Hilbert’s Tenth Problem and Mazur’s Conjecture for large subrings of $$\mathbb{Q}$$. Zbl 1028.11077
Poonen, Bjorn
2003
The Grothendieck ring of varieties is not a domain. Zbl 1054.14505
Poonen, Bjorn
2002
Random polynomials having few or no real zeros. Zbl 1002.60045
Dembo, Amir; Poonen, Bjorn; Shao, Qi-Man; Zeitouni, Ofer
2002
Using elliptic curves of rank one towards the undecidability of Hilbert’s tenth problem over rings of algebraic integers. Zbl 1057.11068
Poonen, Bjorn
2002
Computing rational points on curves. Zbl 1038.11037
Poonen, Bjorn
2002
The William Lowell Putnam mathematical competition 1985–2000. Problems, solutions, and commentary. Zbl 1005.00003
Kedlaya, Kiran S.; Poonen, Bjorn; Vakil, Ravi
2002
An explicit algebraic family of genus-one curves violating the Hasse principle. Zbl 1046.11038
Poonen, Bjorn
2001
Computing torsion points on curves. Zbl 1063.11017
Poonen, Bjorn
2001
Torsion packets on curves. Zbl 0987.14020
Baker, Matthew; Poonen, Bjorn
2001
Spans of Hecke points on modular curves. Zbl 1081.11043
Poonen, Bjorn
2001
The Hasse principle for complete intersections in projective space. Zbl 1079.14027
Poonen, Bjorn
2001
Points having the same residue field as their image under a morphism. Zbl 1077.14505
Poonen, Bjorn
2001
Large torsion subgroups of split Jacobians of curves of genus two or three. Zbl 0983.11037
Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn
2000
Zeros of Fekete polynomials. Zbl 1007.11053
Conrey, Brian; Granville, Andrew; Poonen, Bjorn; Soundararajan, K.
2000
Lattice polygons and the number 12. Zbl 0988.52024
Poonen, Bjorn; Rodriguez-Villegas, Fernando
2000
Algebraic families of nonzero elements of Shafarevich-Tate groups. Zbl 0951.11022
Colliot-Thélène, Jean-Louis; Poonen, Bjorn
2000
Varieties without extra automorphisms. II: Hyperelliptic curves. Zbl 0966.14020
Poonen, Bjorn
2000
Varieties without extra automorphisms. I: Curves. Zbl 0966.14019
Poonen, Bjorn
2000
The Cassels-Tate pairing on polarized Abelian varieties. Zbl 1024.11040
Poonen, Bjorn; Stoll, Michael
1999
Mordell-Lang plus Bogomolov. Zbl 0995.11040
Poonen, Bjorn
1999
A local-global principle for densities. Zbl 1024.11047
Poonen, Bjorn; Stoll, Michael
1999
Computing call admission capacities in linear networks. Zbl 0969.90025
Coffman, E. G. jun.; Feldmann, Anja; Kahale, Nabil; Poonen, Bjorn
1999
The classification of rational preperiodic points of quadratic polynomials over $$\mathbb{Q}$$: A refined conjecture. Zbl 0902.11025
Poonen, Bjorn
1998
Packing random intervals on-line. Zbl 0914.68082
Coffman, E. G. jun.; Flatto, L.; Jelenković, P.; Poonen, B.
1998
The number of intersection points made by the diagonals of a regular polygon. Zbl 0913.51005
Poonen, Bjorn; Rubinstein, Michael
1998
Some diophantine equations of the form $$x^n+y^n=z^m$$. Zbl 0930.11017
Poonen, Bjorn
1998
Drinfeld modules with no supersingular primes. Zbl 0898.11024
Poonen, Bjorn
1998
Zeros of sparse polynomials over local fields of characteristic $$p$$. Zbl 0931.11053
Poonen, Bjorn
1998
Cycles of quadratic polynomials and rational points on a genus-2 curve. Zbl 0958.11024
Flynn, E. V.; Poonen, Bjorn; Schaefer, Edward F.
1997
Explicit descent for Jacobians of cyclic covers of the projective line. Zbl 0888.11023
Poonen, Bjorn; Schaefer, Edward F.
1997
Torsion in rank 1 Drinfeld modules and the uniform boundedness conjecture. Zbl 0891.11034
Poonen, Bjorn
1997
A 2-adic approach to the analysis of cyclic codes. Zbl 0898.94011
Calderbank, A. R.; Li, Wen-Ching Winnie; Poonen, Bjorn
1997
Computational aspects of curves of genus at least 2. Zbl 0891.11037
Poonen, Bjorn
1996
On a conjecture of Helleseth regarding pairs of binary $$m$$-sequences. Zbl 0943.94513
Calderbank, A. R.; McGuire, Gary; Poonen, Bjorn; Rubinstein, Michael
1996
Large torsion subgroups of split Jacobians of curves of genus 2. Zbl 0895.11027
Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn
1996
Fractional power series and pairings on Drinfeld modules. Zbl 0861.13010
Poonen, Bjorn
1996
Local height functions and the Mordell-Weil theorem for Drinfeld modules. Zbl 0839.11024
Poonen, Bjorn
1995
Packing random intervals. Zbl 0819.60013
Coffman, E. G. jun.; Poonen, Bjorn; Winkler, Peter
1995
The zeta function of the beta transformation. Zbl 0843.58106
Flatto, Leopold; Lagarias, Jeffrey C.; Poonen, Bjorn
1994
Parking arcs on the circle with applications to one-dimensional communication networks. Zbl 0812.60090
Coffman, E. G. jun.; Mallows, C. L.; Poonen, Bjorn
1994
Zeros of polynomials with $$0, 1$$ coefficients. Zbl 0814.30006
Odlyzko, A. M.; Poonen, B.
1993
Maximally complete fields. Zbl 0807.12006
Poonen, Bjorn
1993
The worst case in shellsort and related algorithms. Zbl 0784.68044
Poonen, Bjorn
1993
Union-closed families. Zbl 0758.05096
Poonen, Bjorn
1992
...and 2 more Documents
all top 5

#### Cited by 1,084 Authors

 33 Poonen, Bjorn 17 Shlapentokh, Alexandra 16 Stoll, Michael 11 Creutz, Brendan 11 Viray, Bianca 10 Flynn, Eugene Victor 9 Buium, Alexandru 9 Fisher, Tom A. 9 Ghioca, Dragos 9 Miller, Russell G. 9 Voloch, José Felipe 8 Doyle, John R. 8 Erdélyi, Tamás 8 Kedlaya, Kiran Sridhara 8 Pasten, Hector V. 8 Siksek, Samir 7 Balakrishnan, Jennifer S. 7 Borwein, Peter Benjamin 7 Bruin, Nils 7 Howe, Everett W. 7 Katz, Daniel J. 7 Silverman, Joseph Hillel 6 Bhargava, Manjul 6 Cornelissen, Gunther 6 González, Josep R. 6 Ingram, Patrick 6 Liu, Qing 6 Mazur, Barry 6 Schaefer, Edward F. 6 Shparlinski, Igor E. 6 Wood, Melanie Matchett 5 Berenhaut, Kenneth S. 5 Colliot-Thélène, Jean-Louis 5 Elias, Juan 5 Fehm, Arno 5 Harrison-Trainor, Matthew 5 Krumm, David 5 Langevin, Philippe 5 Lorenzini, Dino J. 5 Loughran, Daniel 5 Manes, Michelle 5 Melnikov, Alexander G. 5 Várilly-Alvarado, Anthony 4 Benedetto, Robert L. 4 Bennett, Michael A. 4 Browning, Timothy Daniel 4 Casnati, Gianfranco 4 Castryck, Wouter 4 Clark, Peter Louis 4 Dembo, Amir 4 Freitas, Nuno 4 Hare, Kevin G. 4 Hindes, Wade 4 Ho, Wei 4 Ishitsuka, Yasuhiro 4 Ito, Tetsushi 4 Müller, Jan Steffen 4 Panin, Ivan A. 4 Park, Jennifer 4 Pries, Rachel J. 4 Rhee, Wansoo T. 4 Rojas, J. Maurice 4 Rubin, Karl Cooper 4 Sharif, Shahed 4 Stein, William A. 4 Sun, Chia-Liang 4 Taelman, Lenny 4 Tanaka, Hiromu 4 Thorne, Jack A. 4 Veys, Willem 4 Vidaux, Xavier 4 Xarles, Xavier 4 Xue, Jiangwei 4 Yukich, Joseph Elliott 4 Zarkhin, Yuriĭ Gennad’evich 3 Abdelwahab, Hani 3 Achter, Jeffrey D. 3 Asgarli, Shamil 3 Aubry, Yves 3 Baker, Matthew H. 3 Ballico, Edoardo 3 Bars Cortina, Francesc 3 Bazhenov, Nikolaĭ Alekseevich 3 Boucksom, Sébastien 3 Boyd, David William 3 Bruhn, Henning 3 Burde, Dietrich 3 Canci, Jung Kyu 3 Cao, Yang 3 Chen, Imin 3 Coffman, Edward Grady jun. 3 Czédli, Gábor 3 David, Chantal 3 de Graaf, Willem Adriaan 3 Delaunay, Christophe 3 Duchesne, Bruno 3 Erman, Daniel 3 Faber, Xander 3 Favre, Charles 3 Finotti, Luís R. A. ...and 984 more Authors
all top 5

#### Cited in 214 Serials

 80 Journal of Number Theory 40 Mathematics of Computation 36 Journal de Théorie des Nombres de Bordeaux 34 Transactions of the American Mathematical Society 30 Journal of Algebra 29 Proceedings of the American Mathematical Society 27 Advances in Mathematics 25 Compositio Mathematica 25 Duke Mathematical Journal 23 International Journal of Number Theory 22 Mathematische Annalen 21 Journal of Pure and Applied Algebra 18 Manuscripta Mathematica 15 Mathematical Proceedings of the Cambridge Philosophical Society 13 Annals of Mathematics. Second Series 11 Acta Arithmetica 11 Inventiones Mathematicae 11 LMS Journal of Computation and Mathematics 10 Mathematische Zeitschrift 10 Journal of the American Mathematical Society 10 Journal of the European Mathematical Society (JEMS) 9 Annales de l’Institut Fourier 9 Journal of Symbolic Computation 9 Bulletin of the American Mathematical Society. New Series 9 Finite Fields and their Applications 9 Research in Number Theory 8 The Journal of Symbolic Logic 8 Monatshefte für Mathematik 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Algebra & Number Theory 7 Discrete Mathematics 7 The Annals of Applied Probability 6 Communications in Algebra 6 Israel Journal of Mathematics 6 Algebra and Logic 6 Journal of Combinatorial Theory. Series A 6 Experimental Mathematics 6 Journal of Mathematical Sciences (New York) 6 The Ramanujan Journal 5 Rocky Mountain Journal of Mathematics 5 Journal für die Reine und Angewandte Mathematik 5 Michigan Mathematical Journal 5 Nagoya Mathematical Journal 5 Linear Algebra and its Applications 5 Indagationes Mathematicae. New Series 5 Journal of the Institute of Mathematics of Jussieu 4 Bulletin of the London Mathematical Society 4 Functiones et Approximatio. Commentarii Mathematici 4 European Journal of Combinatorics 4 Annals of Pure and Applied Logic 4 Discrete & Computational Geometry 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Research in the Mathematical Sciences 3 Bulletin of the Australian Mathematical Society 3 Journal d’Analyse Mathématique 3 Journal of Statistical Physics 3 The Annals of Probability 3 Archiv der Mathematik 3 Commentarii Mathematici Helvetici 3 Illinois Journal of Mathematics 3 Proceedings of the London Mathematical Society. Third Series 3 Ergodic Theory and Dynamical Systems 3 Probability Theory and Related Fields 3 SIAM Journal on Discrete Mathematics 3 Forum Mathematicum 3 Designs, Codes and Cryptography 3 Applicable Algebra in Engineering, Communication and Computing 3 Journal of Algebraic Geometry 3 The Electronic Journal of Combinatorics 3 Izvestiya: Mathematics 3 Documenta Mathematica 3 Acta Mathematica Sinica. English Series 3 Algebraic & Geometric Topology 3 Journal of the Australian Mathematical Society 3 Proceedings of the Steklov Institute of Mathematics 3 Forum of Mathematics, Sigma 3 European Journal of Mathematics 2 Advances in Applied Probability 2 Communications in Mathematical Physics 2 Discrete Applied Mathematics 2 Journal of Mathematical Physics 2 Periodica Mathematica Hungarica 2 Problems of Information Transmission 2 Beiträge zur Algebra und Geometrie 2 Acta Mathematica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Canadian Mathematical Bulletin 2 Publications Mathématiques 2 Journal of Applied Probability 2 Mathematika 2 Memoirs of the American Mathematical Society 2 Notre Dame Journal of Formal Logic 2 Theoretical Computer Science 2 Statistics & Probability Letters 2 Acta Mathematica Hungarica 2 Graphs and Combinatorics 2 Constructive Approximation 2 Revista Matemática Iberoamericana 2 Journal of Theoretical Probability 2 International Journal of Mathematics ...and 114 more Serials
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#### Cited in 54 Fields

 578 Number theory (11-XX) 457 Algebraic geometry (14-XX) 70 Dynamical systems and ergodic theory (37-XX) 69 Mathematical logic and foundations (03-XX) 56 Field theory and polynomials (12-XX) 55 Probability theory and stochastic processes (60-XX) 49 Combinatorics (05-XX) 49 Commutative algebra (13-XX) 34 Functions of a complex variable (30-XX) 30 Group theory and generalizations (20-XX) 22 Real functions (26-XX) 22 Information and communication theory, circuits (94-XX) 21 Computer science (68-XX) 20 Several complex variables and analytic spaces (32-XX) 18 Associative rings and algebras (16-XX) 15 Convex and discrete geometry (52-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 13 Operations research, mathematical programming (90-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Nonassociative rings and algebras (17-XX) 10 Numerical analysis (65-XX) 9 $$K$$-theory (19-XX) 8 Geometry (51-XX) 7 Algebraic topology (55-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Topological groups, Lie groups (22-XX) 6 Measure and integration (28-XX) 6 Manifolds and cell complexes (57-XX) 5 Partial differential equations (35-XX) 5 Differential geometry (53-XX) 4 Category theory; homological algebra (18-XX) 4 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 General algebraic systems (08-XX) 3 Special functions (33-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

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