## Poonen, Bjorn

Compute Distance To:
 Author ID: poonen.bjorn Published as: Poonen, Bjorn; Poonen, B.; Poonen, Björn Homepage: https://math.mit.edu/~poonen/ External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 122 Publications since 1988, including 4 Books 4 Contributions as Editor · 1 Further Contribution Reviewing Activity: 13 Reviews Co-Authors: 99 Co-Authors with 67 Joint Publications 2,823 Co-Co-Authors
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### Co-Authors

 59 single-authored 6 Stoll, Michael 5 Coffman, Edward Grady jun. 4 Belabas, Karim 4 Jordan, Bruce W. 4 Rains, Eric M. 3 Flatto, Leopold 3 Howe, Everett 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 Colliot-Thélène, Jean-Louis 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 Wetherell, Joseph L. 2 Zieve, Michael E. 1 Anderson, Jacqueline 1 Berry, Neil 1 Beukers, Frits 1 Bhargava, Manjul 1 Bleher, Frauke M. 1 Brock, Bradley W. 1 Bruin, Nils 1 Chinburg, Ted 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 Epstein, Adam Lawrence 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 Katz, Nicholas Michael 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 Scholl, Anthony James 1 Schoutens, Hans 1 Shao, Qi-Man 1 Shepherd-Barron, Nicholas Ian 1 Siksek, Samir 1 Skinner, Christopher M. 1 Slavov, Kaloyan 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 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 ...and 1 more Co-Authors
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### Serials

 10 Mathematical Research Letters 7 Duke Mathematical Journal 7 Journal of the American Mathematical Society 6 Compositio Mathematica 5 IMRN. International Mathematics Research Notices 5 Annals of Mathematics. Second Series 3 Acta Arithmetica 3 Bulletin of the London Mathematical Society 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 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 2 AMS/MAA Problem Books 1 Annales de l’Institut Fourier 1 Commentarii Mathematici Helvetici 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

 90 Number theory (11-XX) 70 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) 7 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

105 Publications have been cited 1,361 times in 1,098 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
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
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
A computable functor from graphs to fields. Zbl 1447.03005
Miller, Russell; Poonen, Bjorn; Schoutens, Hans; Shlapentokh, Alexandra
2018
Large torsion subgroups of split Jacobians of curves of genus two or three. Zbl 0983.11037
Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn
2000
Isomorphism types of commutative algebras of finite rank over an algebraic closed field. Zbl 1155.13015
Poonen, Bjorn
2008
Rational points on varieties. Zbl 1387.14004
Poonen, Bjorn
2017
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
Random maximal isotropic subspaces and Selmer groups. Zbl 1294.11097
Poonen, Bjorn; Rains, Eric
2012
Maximally complete fields. Zbl 0807.12006
Poonen, Bjorn
1993
Local height functions and the Mordell-Weil theorem for Drinfeld modules. Zbl 0839.11024
Poonen, Bjorn
1995
Union-closed families. Zbl 0758.05096
Poonen, Bjorn
1992
Random polynomials having few or no real zeros. Zbl 1002.60045
Dembo, Amir; Poonen, Bjorn; Shao, Qi-Man; Zeitouni, Ofer
2002
Mordell-Lang plus Bogomolov. Zbl 0995.11040
Poonen, Bjorn
1999
Random Diophantine equations. With appendices by Jean-Louis Colliot-Thélène and Nicholas M. Katz. Zbl 1208.11050
Poonen, Bjorn; Voloch, José Felipe
2004
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
Insufficiency of the Brauer-Manin obstruction applied to étale covers. Zbl 1284.11096
Poonen, Bjorn
2010
Generalized explicit descent and its application to curves of genus 3. Zbl 1408.11065
Bruin, Nils; Poonen, Bjorn; Stoll, Michael
2016
The zeta function of the beta transformation. Zbl 0843.58106
Flatto, Leopold; Lagarias, Jeffrey C.; Poonen, Bjorn
1994
Zeros of Fekete polynomials. Zbl 1007.11053
Conrey, Brian; Granville, Andrew; Poonen, Bjorn; Soundararajan, K.
2000
Heuristics for the Brauer-Manin obstruction for curves. Zbl 1173.11040
Poonen, Bjorn
2006
Gonality of modular curves in characteristic $$p$$. Zbl 1138.14016
Poonen, Bjorn
2007
Packing random intervals on-line. Zbl 0914.68082
Coffman, E. G. jun.; Flatto, L.; Jelenković, P.; Poonen, B.
1998
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
Néron-Severi groups under specialization. Zbl 1248.14011
Maulik, Davesh; Poonen, Bjorn
2012
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
Diophantine definability of infinite discrete nonarchimedean sets and Diophantine models over large subrings of number field. Zbl 1139.11056
Poonen, Bjorn; Shlapentokh, Alexandra
2005
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
Algebraic families of nonzero elements of Shafarevich-Tate groups. Zbl 0951.11022
Colliot-Thélène, Jean-Louis; Poonen, Bjorn
2000
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
The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields. Zbl 1294.11110
Poonen, Bjorn; Voloch, José Felipe
2010
Berkovich spaces embed in Euclidean spaces. Zbl 1325.14040
Hrushovski, Ehud; Loeser, François; Poonen, Bjorn
2014
Computational aspects of curves of genus at least 2. Zbl 0891.11037
Poonen, Bjorn
1996
The number of intersection points made by the diagonals of a regular polygon. Zbl 0913.51005
Poonen, Bjorn; Rubinstein, Michael
1998
On a conjecture of Helleseth regarding pairs of binary $$m$$-sequences. Zbl 0943.94513
Calderbank, A. R.; McGuire, Gary; Poonen, Bjorn; Rubinstein, Michael
1996
Most odd degree hyperelliptic curves have only one rational point. Zbl 1303.11073
Poonen, Bjorn; Stoll, Michael
2014
Bertini irreducibility theorems over finite fields. Zbl 1327.14233
Charles, François; Poonen, Bjorn
2016
An explicit algebraic family of genus-one curves violating the Hasse principle. Zbl 1046.11038
Poonen, Bjorn
2001
Existence of rational points on smooth projective varieties. Zbl 1183.14032
Poonen, Bjorn
2009
A heuristic for boundedness of ranks of elliptic curves. Zbl 1469.11173
Park, Jennifer; Poonen, Bjorn; Voight, John; Wood, Melanie Matchett
2019
Torsion in rank 1 Drinfeld modules and the uniform boundedness conjecture. Zbl 0891.11034
Poonen, Bjorn
1997
Smooth hypersurface sections containing a given subscheme over a finite field. Zbl 1207.14047
Poonen, Bjorn
2008
A local-global principle for densities. Zbl 1024.11047
Poonen, Bjorn; Stoll, Michael
1999
Computing Néron-Severi groups and cycle class groups. Zbl 1316.14017
Poonen, Bjorn; Testa, Damiano; van Luijk, Ronald
2015
Varieties without extra automorphisms. II: Hyperelliptic curves. Zbl 0966.14020
Poonen, Bjorn
2000
Computing torsion points on curves. Zbl 1063.11017
Poonen, Bjorn
2001
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
$$p$$-adic interpolation of iterates. Zbl 1291.11135
Poonen, Bjorn
2014
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
Some diophantine equations of the form $$x^n+y^n=z^m$$. Zbl 0930.11017
Poonen, Bjorn
1998
Packing random intervals. Zbl 0819.60013
Coffman, E. G. jun.; Poonen, Bjorn; Winkler, Peter
1995
Computing rational points on curves. Zbl 1038.11037
Poonen, Bjorn
2002
A 2-adic approach to the analysis of cyclic codes. Zbl 0898.94011
Calderbank, A. R.; Li, Wen-Ching Winnie; Poonen, Bjorn
1997
First-order characterization of function field invariants over large fields. Zbl 1174.03015
Poonen, Bjorn; Pop, Florian
2008
Convergence of the restricted Nelder-Mead algorithm in two dimensions. Zbl 1246.49029
Lagarias, Jeffrey C.; Poonen, Bjorn; Wright, Margaret H.
2012
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
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
Varieties without extra automorphisms. I: Curves. Zbl 0966.14019
Poonen, Bjorn
2000
Varieties without extra automorphisms. III: Hypersurfaces. Zbl 1076.14053
Poonen, Bjorn
2005
Uniform first-order definitions in finitely generated fields. Zbl 1197.12005
Poonen, Bjorn
2007
The set of nonsquares in a number field is diophantine. Zbl 1183.14031
Poonen, Bjorn
2009
Gonality of dynatomic curves and strong uniform boundedness of preperiodic points. Zbl 1445.37080
Doyle, John R.; Poonen, Bjorn
2020
Integrality and rigidity for postcritically finite polynomials. Zbl 1291.37057
2012
The conjugate dimension of algebraic numbers. Zbl 1062.11064
Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris
2004
Drinfeld modules with no supersingular primes. Zbl 0898.11024
Poonen, Bjorn
1998
Torsion packets on curves. Zbl 0987.14020
Baker, Matthew; Poonen, Bjorn
2001
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
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
Undecidable problems: a sampler. Zbl 1358.03063
Poonen, Bjorn
2014
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
Fractional power series and pairings on Drinfeld modules. Zbl 0861.13010
Poonen, Bjorn
1996
Extending self-maps to projective space over finite fields. Zbl 1303.14014
Poonen, Bjorn
2013
Periodicity of a combinatorial sequence. Zbl 0644.10012
Poonen, Bjorn
1988
Large torsion subgroups of split Jacobians of curves of genus 2. (Sous-groupes de torsion d’ordres élevés de jacobiennes décomposables de courbes de genre 2.) Zbl 0895.11027
Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn
1996
Zeros of sparse polynomials over local fields of characteristic $$p$$. Zbl 0931.11053
Poonen, Bjorn
1998
The worst case in shellsort and related algorithms. Zbl 0784.68044
Poonen, Bjorn
1993
Points having the same residue field as their image under a morphism. Zbl 1077.14505
Poonen, Bjorn
2001
The Hasse principle for complete intersections in projective space. Zbl 1079.14027
Poonen, Bjorn
2001
Spans of Hecke points on modular curves. Zbl 1081.11043
Poonen, Bjorn
2001
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
2004
Curves over every global field violating the local-global principle. Zbl 1294.11108
Poonen, B.
2010
Automorphisms mapping a point into a subvariety. Zbl 1229.14032
Poonen, Bjorn
2011
Heuristics for the arithmetic of elliptic curves. Zbl 1443.11100
Poonen, Bjorn
2018
Unramified covers of Galois covers of low genus curves. Zbl 1082.14035
Poonen, Bjorn
2005
Multiples of subvarieties in algebraic groups over finite fields. Zbl 1082.14028
Poonen, Bjorn
2005
Computing call admission capacities in linear networks. Zbl 0969.90025
Coffman, E. G. jun.; Feldmann, Anja; Kahale, Nabil; Poonen, Bjorn
1999
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 1469.11173
Park, Jennifer; Poonen, Bjorn; Voight, John; Wood, Melanie Matchett
2019
Using zeta functions to factor polynomials over finite fields. Zbl 1468.11247
Poonen, Bjorn
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
Heuristics for the arithmetic of elliptic curves. Zbl 1443.11100
Poonen, Bjorn
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
$$p$$-adic interpolation of iterates. Zbl 1291.11135
Poonen, Bjorn
2014
Undecidable problems: a sampler. Zbl 1358.03063
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
Integrality and rigidity for postcritically finite polynomials. Zbl 1291.37057
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
Unramified covers of Galois covers of low genus curves. Zbl 1082.14035
Poonen, Bjorn
2005
Multiples of subvarieties in algebraic groups over finite fields. Zbl 1082.14028
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
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
Points having the same residue field as their image under a morphism. Zbl 1077.14505
Poonen, Bjorn
2001
The Hasse principle for complete intersections in projective space. Zbl 1079.14027
Poonen, Bjorn
2001
Spans of Hecke points on modular curves. Zbl 1081.11043
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
Fractional power series and pairings on Drinfeld modules. Zbl 0861.13010
Poonen, Bjorn
1996
Large torsion subgroups of split Jacobians of curves of genus 2. (Sous-groupes de torsion d’ordres élevés de jacobiennes décomposables de courbes de genre 2.) Zbl 0895.11027
Howe, Everett W.; Leprévost, Franck; 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
...and 5 more Documents
all top 5

### Cited by 1,196 Authors

 33 Poonen, Bjorn 17 Shlapentokh, Alexandra 16 Stoll, Michael 13 Miller, Russell G. 11 Creutz, Brendan 11 Flynn, Eugene Victor 11 Viray, Bianca 10 Balakrishnan, Jennifer S. 10 Fisher, Tom A. 10 Pasten, Hector V. 10 Voloch, José Felipe 9 Buium, Alexandru 9 Doyle, John R. 9 Erdélyi, Tamás 9 Ghioca, Dragos 9 Kedlaya, Kiran Sridhara 8 Bhargava, Manjul 8 Siksek, Samir 8 Wood, Melanie Matchett 7 Borwein, Peter Benjamin 7 Cornelissen, Gunther 7 González, Josep R. 7 Howe, Everett W. 7 Katz, Daniel J. 7 Mazur, Barry 7 Müller, Jan Steffen 7 Silverman, Joseph Hillel 6 Bazhenov, Nikolaĭ Alekseevich 6 Bruin, Nils 6 Harrison-Trainor, Matthew 6 Ingram, Patrick 6 Ishitsuka, Yasuhiro 6 Loughran, Daniel 6 Schaefer, Edward F. 6 Shparlinski, Igor E. 5 Bennett, Michael A. 5 Berenhaut, Kenneth S. 5 Colliot-Thélène, Jean-Louis 5 Cremona, John E. 5 Elias, Juan 5 Fehm, Arno 5 Freitas, Nuno 5 Krumm, David 5 Langevin, Philippe 5 Liu, Qing 5 Lorenzini, Dino J. 5 Manes, Michelle 5 Melnikov, Alexander G. 5 Várilly-Alvarado, Anthony 5 Zarkhin, Yuriĭ Gennad’evich 4 Asgarli, Shamil 4 Bars Cortina, Francesc 4 Benedetto, Robert L. 4 Browning, Timothy Daniel 4 Cao, Yang 4 Casnati, Gianfranco 4 Castryck, Wouter 4 Česnavičius, Kęstutis 4 Clark, Peter Louis 4 Dembo, Amir 4 Faber, Xander 4 Hare, Kevin G. 4 Hindes, Wade 4 Hirakawa, Yoshinosuke 4 Ho, Wei 4 Homs Pons, Roser 4 Hutz, Benjamin 4 Ito, Tetsushi 4 Joshi, Vinayak V. 4 Liang, Yongqi 4 Panin, Ivan A. 4 Park, Jennifer 4 Pries, Rachel J. 4 Rhee, Wansoo T. 4 Ritzenthaler, Christophe 4 Rojas, J. Maurice 4 Rubin, Karl Cooper 4 Sharif, Shahed 4 Sijsling, Jeroen 4 Sofos, Efthymios 4 Stein, William A. 4 Sun, Chia-Liang 4 Taelman, Lenny 4 Tanaka, Hiromu 4 Thorne, Jack A. 4 Veys, Willem 4 Wang, Xiaoheng 4 Xarles, Xavier 4 Xue, Jiangwei 4 Yukich, Joseph Elliott 3 Abdelwahab, Hani 3 Achter, Jeffrey D. 3 Aubry, Yves 3 Baker, Matthew H. 3 Ballico, Edoardo 3 Besser, Amnon 3 Bianchi, Francesca 3 Boucksom, Sébastien 3 Boyd, David William 3 Bruhn, Henning ...and 1,096 more Authors
all top 5

### Cited in 227 Serials

 87 Journal of Number Theory 44 Mathematics of Computation 39 Journal de Théorie des Nombres de Bordeaux 37 Transactions of the American Mathematical Society 33 Journal of Algebra 30 Advances in Mathematics 30 Proceedings of the American Mathematical Society 28 Compositio Mathematica 28 Duke Mathematical Journal 27 International Journal of Number Theory 24 Mathematische Annalen 22 Journal of Pure and Applied Algebra 18 Manuscripta Mathematica 16 Mathematical Proceedings of the Cambridge Philosophical Society 14 Inventiones Mathematicae 13 Acta Arithmetica 13 Annals of Mathematics. Second Series 12 The Journal of Symbolic Logic 12 Journal of the European Mathematical Society (JEMS) 12 Research in Number Theory 11 Mathematische Zeitschrift 11 LMS Journal of Computation and Mathematics 10 Annales de l’Institut Fourier 10 Journal of the American Mathematical Society 10 Bulletin of the American Mathematical Society. New Series 9 Journal of Symbolic Computation 9 Finite Fields and their Applications 8 Monatshefte für Mathematik 8 Journal of Mathematical Sciences (New York) 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Algebra & Number Theory 7 Discrete Mathematics 7 Israel Journal of Mathematics 7 Rocky Mountain Journal of Mathematics 7 Algebra and Logic 7 The Annals of Applied Probability 7 The Ramanujan Journal 6 Communications in Algebra 6 Journal of Combinatorial Theory. Series A 6 Annals of Pure and Applied Logic 6 Indagationes Mathematicae. New Series 6 Experimental Mathematics 6 The Electronic Journal of Combinatorics 6 Journal of the Institute of Mathematics of Jussieu 5 Journal für die Reine und Angewandte Mathematik 5 Michigan Mathematical Journal 5 Nagoya Mathematical Journal 5 Linear Algebra and its Applications 5 Selecta Mathematica. New Series 5 Forum of Mathematics, Sigma 5 Research in the Mathematical Sciences 4 Journal of Statistical Physics 4 Bulletin of the London Mathematical Society 4 Commentarii Mathematici Helvetici 4 Functiones et Approximatio. Commentarii Mathematici 4 European Journal of Combinatorics 4 Discrete & Computational Geometry 4 Revista Matemática Iberoamericana 4 SIAM Journal on Discrete Mathematics 4 Journal of the Ramanujan Mathematical Society 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 The New York Journal of Mathematics 4 Documenta Mathematica 4 European Journal of Mathematics 3 Bulletin of the Australian Mathematical Society 3 Journal d’Analyse Mathématique 3 The Annals of Probability 3 Archiv der Mathematik 3 Illinois Journal of Mathematics 3 Memoirs of the American Mathematical Society 3 Proceedings of the London Mathematical Society. Third Series 3 Ergodic Theory and Dynamical Systems 3 Probability Theory and Related Fields 3 Forum Mathematicum 3 IMRN. International Mathematics Research Notices 3 Designs, Codes and Cryptography 3 Archive for Mathematical Logic 3 Applicable Algebra in Engineering, Communication and Computing 3 Journal of Algebraic Geometry 3 Izvestiya: Mathematics 3 Acta Mathematica Sinica. English Series 3 Integers 3 Algebraic & Geometric Topology 3 Journal of the Australian Mathematical Society 3 Proceedings of the Steklov Institute of Mathematics 2 Advances in Applied Probability 2 American Mathematical Monthly 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 Notre Dame Journal of Formal Logic ...and 127 more Serials
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### Cited in 54 Fields

 654 Number theory (11-XX) 526 Algebraic geometry (14-XX) 82 Mathematical logic and foundations (03-XX) 75 Dynamical systems and ergodic theory (37-XX) 63 Field theory and polynomials (12-XX) 61 Combinatorics (05-XX) 60 Probability theory and stochastic processes (60-XX) 55 Commutative algebra (13-XX) 41 Group theory and generalizations (20-XX) 37 Functions of a complex variable (30-XX) 24 Real functions (26-XX) 24 Information and communication theory, circuits (94-XX) 22 Several complex variables and analytic spaces (32-XX) 22 Computer science (68-XX) 20 Associative rings and algebras (16-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 17 Convex and discrete geometry (52-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 14 Operations research, mathematical programming (90-XX) 11 $$K$$-theory (19-XX) 11 Geometry (51-XX) 11 Numerical analysis (65-XX) 10 Nonassociative rings and algebras (17-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Algebraic topology (55-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Manifolds and cell complexes (57-XX) 6 Category theory; homological algebra (18-XX) 6 Topological groups, Lie groups (22-XX) 6 Measure and integration (28-XX) 5 Partial differential equations (35-XX) 5 Approximations and expansions (41-XX) 5 Differential geometry (53-XX) 4 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 4 Functional analysis (46-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 General algebraic systems (08-XX) 3 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 2 Potential theory (31-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-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)

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