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Author ID: poonen.bjorn Recent zbMATH articles by "Poonen, Bjorn"
Published as: Poonen, Bjorn; Poonen, B.; Poonen, Björn
Homepage: https://math.mit.edu/~poonen/
External Links: MGP · Wikidata · GND · IdRef · theses.fr
all top 5

Co-Authors

63 single-authored
7 Stoll, Michael
5 Belabas, Karim
5 Coffman, Edward Grady jun.
5 Jordan, Bruce W.
4 Kedlaya, Kiran Sridhara
4 Rains, Eric M.
4 Rodriguez-Villegas, Fernando
3 Elkies, Noam David
3 Flatto, Leopold
3 Howe, Everett W.
3 Rubinstein, Michael O.
3 Schaefer, Edward F.
2 Baker, Matthew H.
2 Bhargava, Manjul
2 Buium, Alexandru
2 Calderbank, Arthur Robert
2 Charles, François
2 Colliot-Thélène, Jean-Louis
2 Cruz-Filipe, Luís
2 Davenport, James Harold
2 Helfgott, Harald Andrés
2 Keeton, Allan G.
2 Lagarias, Jeffrey C.
2 Leprévost, Franck
2 Maynard, James
2 McCallum, William G.
2 Pop, Florian
2 Shlapentokh, Alexandra
2 Slavov, Kaloyan
2 Tiep Pham Huu
2 Vakil, Ravi
2 Voight, John Michael
2 Voloch, José Felipe
2 Wetherell, Joseph L.
2 Zieve, Michael E.
1 Anderson, Jacqueline
1 Balakrishnan, Jennifer S.
1 Bary-Soroker, Lior
1 Berg, Jennifer
1 Berry, Neil
1 Beukers, Frits
1 Bleher, Frauke M.
1 Brock, Bradley W.
1 Bruin, Nils
1 Chinburg, Ted
1 Conrey, John Brian
1 Costa, Edgar
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 Hassett, Brendan
1 Hokken, David
1 Hrushovski, Ehud
1 Jarden, Moshe
1 Jelenković jun., Predrag
1 Kahale, Nabil
1 Kane, Daniel M.
1 Katz, Nicholas Michael
1 Klagsbrun, Zev
1 Kozma, Gady
1 Kresch, Andrew
1 Landesman, Aaron
1 Lenstra, Hendrik W. jun.
1 Li, Wanlin
1 Li, Wen-Ch’ing Winnie
1 Loeser, François
1 Mallows, Colin Lingwood
1 Maulik, Davesh
1 McGuire, Gary
1 Miller, Russell G.
1 Odlyzko, Andrew M.
1 Pagano, Carlo
1 Park, Jennifer
1 Plaxton, C. Greg
1 Poonen, George
1 Quasterl, Jeremy
1 Rybakov, Sergeĭ Yur’evich
1 Scholl, Anthony James
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 Sutherland, Andrew V.
1 Symonds, Peter
1 Tate, John Torrence jun.
...and 17 more Co-Authors
all top 5

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
4 Bulletin of the London Mathematical Society
4 Oberwolfach Reports
3 Acta Arithmetica
3 L’Enseignement Mathématique. 2e Série
3 Journal of the European Mathematical Society (JEMS)
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 of Algebraic Geometry
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 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 Simons Symposia
1 Tunisian Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

113 Publications have been cited 1,829 times in 1,454 Documents Cited by Year
Bertini theorems over finite fields. Zbl 1084.14026
Poonen, Bjorn
85
2005
Rational points on varieties. Zbl 1387.14004
Poonen, Bjorn
84
2017
The Cassels-Tate pairing on polarized Abelian varieties. Zbl 1024.11040
Poonen, Bjorn; Stoll, Michael
76
1999
Cycles of quadratic polynomials and rational points on a genus-2 curve. Zbl 0958.11024
Flynn, E. V.; Poonen, Bjorn; Schaefer, Edward F.
55
1997
Zeros of polynomials with \(0, 1\) coefficients. Zbl 0814.30006
Odlyzko, A. M.; Poonen, B.
51
1993
Explicit descent for Jacobians of cyclic covers of the projective line. Zbl 0888.11023
Poonen, Bjorn; Schaefer, Edward F.
50
1997
Squarefree values of multivariable polynomials. Zbl 1047.11021
Poonen, Bjorn
49
2003
The method of Chabauty and Coleman. Zbl 1377.11077
McCallum, William; Poonen, Bjorn
48
2012
Large torsion subgroups of split Jacobians of curves of genus two or three. Zbl 0983.11037
Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn
46
2000
The classification of rational preperiodic points of quadratic polynomials over \(\mathbb{Q}\): A refined conjecture. Zbl 0902.11025
Poonen, Bjorn
46
1998
Random maximal isotropic subspaces and Selmer groups. Zbl 1294.11097
Poonen, Bjorn; Rains, Eric
40
2012
Isomorphism types of commutative algebras of finite rank over an algebraic closed field. Zbl 1155.13015
Poonen, Bjorn
40
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
39
2007
A computable functor from graphs to fields. Zbl 1447.03005
Miller, Russell; Poonen, Bjorn; Schoutens, Hans; Shlapentokh, Alexandra
38
2018
Finiteness results for modular curves of genus at least 2. Zbl 1127.11041
Baker, Matthew H.; González-Jiménez, Enrique; Gonzáles, Josep; Poonen, Bjorn
36
2005
Maximally complete fields. Zbl 0807.12006
Poonen, Bjorn
33
1993
Local height functions and the Mordell-Weil theorem for Drinfeld modules. Zbl 0839.11024
Poonen, Bjorn
31
1995
A heuristic for boundedness of ranks of elliptic curves. Zbl 1469.11173
Park, Jennifer; Poonen, Bjorn; Voight, John; Wood, Melanie Matchett
31
2019
Using elliptic curves of rank one towards the undecidability of Hilbert’s tenth problem over rings of algebraic integers. Zbl 1057.11068
Poonen, Bjorn
30
2002
Union-closed families. Zbl 0758.05096
Poonen, Bjorn
30
1992
Hilbert’s Tenth Problem and Mazur’s Conjecture for large subrings of \(\mathbb{Q}\). Zbl 1028.11077
Poonen, Bjorn
29
2003
The Grothendieck ring of varieties is not a domain. Zbl 1054.14505
Poonen, Bjorn
28
2002
Insufficiency of the Brauer-Manin obstruction applied to étale covers. Zbl 1284.11096
Poonen, Bjorn
27
2010
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
25
2015
Random polynomials having few or no real zeros. Zbl 1002.60045
Dembo, Amir; Poonen, Bjorn; Shao, Qi-Man; Zeitouni, Ofer
25
2002
Gonality of modular curves in characteristic \(p\). Zbl 1138.14016
Poonen, Bjorn
24
2007
Random Diophantine equations. With appendices by Jean-Louis Colliot-Thélène and Nicholas M. Katz. Zbl 1208.11050
Poonen, Bjorn; Voloch, José Felipe
24
2004
Mordell-Lang plus Bogomolov. Zbl 0995.11040
Poonen, Bjorn
23
1999
Generalized explicit descent and its application to curves of genus 3. Zbl 1408.11065
Bruin, Nils; Poonen, Bjorn; Stoll, Michael
23
2016
Heuristics for the Brauer-Manin obstruction for curves. Zbl 1173.11040
Poonen, Bjorn
22
2006
Néron-Severi groups under specialization. Zbl 1248.14011
Maulik, Davesh; Poonen, Bjorn
21
2012
The zeta function of the beta transformation. Zbl 0843.58106
Flatto, Leopold; Lagarias, Jeffrey C.; Poonen, Bjorn
21
1994
The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields. Zbl 1294.11110
Poonen, Bjorn; Voloch, José Felipe
20
2010
Algebraic families of nonzero elements of Shafarevich-Tate groups. Zbl 0951.11022
Colliot-Thélène, Jean-Louis; Poonen, Bjorn
19
2000
Zeros of Fekete polynomials. Zbl 1007.11053
Conrey, Brian; Granville, Andrew; Poonen, Bjorn; Soundararajan, K.
19
2000
The moduli space of commutative algebras of finite rank. Zbl 1151.14011
Poonen, Bjorn
19
2008
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
18
2009
Characterizing integers among rational numbers with a universal-existential formula. Zbl 1179.11047
Poonen, Bjorn
18
2009
Lattice polygons and the number 12. Zbl 0988.52024
Poonen, Bjorn; Rodriguez-Villegas, Fernando
18
2000
Existence of rational points on smooth projective varieties. Zbl 1183.14032
Poonen, Bjorn
17
2009
The number of intersection points made by the diagonals of a regular polygon. Zbl 0913.51005
Poonen, Bjorn; Rubinstein, Michael
16
1998
Packing random intervals on-line. Zbl 0914.68082
Coffman, E. G. jun.; Flatto, L.; Jelenković, P.; Poonen, B.
16
1998
Undecidability in number theory. Zbl 1194.03018
Poonen, Bjorn
16
2008
Bertini irreducibility theorems over finite fields. Zbl 1327.14233
Charles, François; Poonen, Bjorn
15
2016
Most odd degree hyperelliptic curves have only one rational point. Zbl 1303.11073
Poonen, Bjorn; Stoll, Michael
15
2014
An explicit algebraic family of genus-one curves violating the Hasse principle. Zbl 1046.11038
Poonen, Bjorn
14
2001
Diophantine definability of infinite discrete nonarchimedean sets and Diophantine models over large subrings of number field. Zbl 1139.11056
Poonen, Bjorn; Shlapentokh, Alexandra
14
2005
Computing Néron-Severi groups and cycle class groups. Zbl 1316.14017
Poonen, Bjorn; Testa, Damiano; van Luijk, Ronald
14
2015
A local-global principle for densities. Zbl 1024.11047
Poonen, Bjorn; Stoll, Michael
13
1999
Berkovich spaces embed in Euclidean spaces. Zbl 1325.14040
Hrushovski, Ehud; Loeser, François; Poonen, Bjorn
13
2014
On a conjecture of Helleseth regarding pairs of binary \(m\)-sequences. Zbl 0943.94513
Calderbank, A. R.; McGuire, Gary; Poonen, Bjorn; Rubinstein, Michael
12
1996
Computational aspects of curves of genus at least 2. Zbl 0891.11037
Poonen, Bjorn
12
1996
Smooth hypersurface sections containing a given subscheme over a finite field. Zbl 1207.14047
Poonen, Bjorn
11
2008
\(p\)-adic interpolation of iterates. Zbl 1291.11135
Poonen, Bjorn
11
2014
Convergence of the restricted Nelder-Mead algorithm in two dimensions. Zbl 1246.49029
Lagarias, Jeffrey C.; Poonen, Bjorn; Wright, Margaret H.
10
2012
Some diophantine equations of the form \(x^n+y^n=z^m\). Zbl 0930.11017
Poonen, Bjorn
10
1998
Computing torsion points on curves. Zbl 1063.11017
Poonen, Bjorn
10
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.
10
2004
Torsion in rank 1 Drinfeld modules and the uniform boundedness conjecture. Zbl 0891.11034
Poonen, Bjorn
9
1997
Computing rational points on curves. Zbl 1038.11037
Poonen, Bjorn
9
2002
Varieties without extra automorphisms. II: Hyperelliptic curves. Zbl 0966.14020
Poonen, Bjorn
8
2000
The conjugate dimension of algebraic numbers. Zbl 1062.11064
Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris
8
2004
Varieties without extra automorphisms. III: Hypersurfaces. Zbl 1076.14053
Poonen, Bjorn
8
2005
Undecidable problems: a sampler. Zbl 1358.03063
Poonen, Bjorn
8
2014
Automorphisms of Harbater-Katz-Gabber curves. Zbl 1372.14022
Bleher, Frauke M.; Chinburg, Ted; Poonen, Bjorn; Symonds, Peter
8
2017
Self cup products and the theta characteristic torsor. Zbl 1297.18005
Poonen, Bjorn; Rains, Eric
8
2011
Gonality of dynatomic curves and strong uniform boundedness of preperiodic points. Zbl 1445.37080
Doyle, John R.; Poonen, Bjorn
8
2020
Integrality and rigidity for postcritically finite polynomials. Zbl 1291.37057
Epstein, Adam
7
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.
7
2018
Varieties without extra automorphisms. I: Curves. Zbl 0966.14019
Poonen, Bjorn
6
2000
Packing random intervals. Zbl 0819.60013
Coffman, E. G. jun.; Poonen, Bjorn; Winkler, Peter
6
1995
First-order characterization of function field invariants over large fields. Zbl 1174.03015
Poonen, Bjorn; Pop, Florian
6
2008
A 2-adic approach to the analysis of cyclic codes. Zbl 0898.94011
Calderbank, A. R.; Li, Wen-Ching Winnie; Poonen, Bjorn
6
1997
Uniform first-order definitions in finitely generated fields. Zbl 1197.12005
Poonen, Bjorn
5
2007
Parking arcs on the circle with applications to one-dimensional communication networks. Zbl 0812.60090
Coffman, E. G. jun.; Mallows, C. L.; Poonen, Bjorn
5
1994
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
5
2009
The set of nonsquares in a number field is diophantine. Zbl 1183.14031
Poonen, Bjorn
5
2009
Heuristics for the arithmetic of elliptic curves. Zbl 1443.11100
Poonen, Bjorn
5
2018
Curves over every global field violating the local-global principle. Zbl 1294.11108
Poonen, B.
5
2010
Drinfeld modules with no supersingular primes. Zbl 0898.11024
Poonen, Bjorn
4
1998
Torsion packets on curves. Zbl 0987.14020
Baker, Matthew; Poonen, Bjorn
4
2001
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
4
2012
Using zeta functions to factor polynomials over finite fields. Zbl 1468.11247
Poonen, Bjorn
4
2019
The exceptional locus in the Bertini irreducibility theorem for a morphism. Zbl 1483.14097
Poonen, Bjorn; Slavov, Kaloyan
4
2022
Average rank of elliptic curves [after Manjul Bhargava and Arul Shankar]. Zbl 1295.11065
Poonen, Bjorn
4
2013
Periodicity of a combinatorial sequence. Zbl 0644.10012
Poonen, Bjorn
3
1988
Zeros of sparse polynomials over local fields of characteristic \(p\). Zbl 0931.11053
Poonen, Bjorn
3
1998
Unramified covers of Galois covers of low genus curves. Zbl 1082.14035
Poonen, Bjorn
3
2005
Automorphisms mapping a point into a subvariety. Zbl 1229.14032
Poonen, Bjorn
3
2011
Points having the same residue field as their image under a morphism. Zbl 1077.14505
Poonen, Bjorn
3
2001
Improved lower bounds for Shellsort. Zbl 0977.68532
Plaxton, C. Greg; Poonen, Bjorn; Suel, Torsten
3
1992
The Hasse principle for complete intersections in projective space. Zbl 1079.14027
Poonen, Bjorn
3
2001
Orbits of automorphism groups of fields. Zbl 1132.12002
Kedlaya, Kiran S.; Poonen, Bjorn
3
2005
Fractional power series and pairings on Drinfeld modules. Zbl 0861.13010
Poonen, Bjorn
3
1996
Extending self-maps to projective space over finite fields. Zbl 1303.14014
Poonen, Bjorn
3
2013
Multivariable polynomial injections on rational numbers. Zbl 1261.11030
Poonen, Bjorn
3
2010
Computing call admission capacities in linear networks. Zbl 0969.90025
Coffman, E. G. jun.; Feldmann, Anja; Kahale, Nabil; Poonen, Bjorn
2
1999
Genus-two curves with 22 torsion points. Zbl 0966.11026
Poonen, Bjorn
2
2000
Multiples of subvarieties in algebraic groups over finite fields. Zbl 1082.14028
Poonen, Bjorn
2
2005
Spans of Hecke points on modular curves. Zbl 1081.11043
Poonen, Bjorn
2
2001
The exceptional locus in the Bertini irreducibility theorem for a morphism. Zbl 1483.14097
Poonen, Bjorn; Slavov, Kaloyan
4
2022
The proportion of derangements characterizes the symmetric and alternating groups. Zbl 1522.20021
Poonen, Bjorn; Slavov, Kaloyan
1
2022
A \(p\)-adic approach to rational points on curves. Zbl 1461.11099
Poonen, Bjorn
1
2021
Arithmetic geometry, number theory, and computation. Zbl 1515.11004
1
2021
Gonality of dynatomic curves and strong uniform boundedness of preperiodic points. Zbl 1445.37080
Doyle, John R.; Poonen, Bjorn
8
2020
The analytic class number formula for 1-dimensional affine schemes. Zbl 1473.11212
Jordan, Bruce W.; Poonen, Bjorn
2
2020
A heuristic for boundedness of ranks of elliptic curves. Zbl 1469.11173
Park, Jennifer; Poonen, Bjorn; Voight, John; Wood, Melanie Matchett
31
2019
Using zeta functions to factor polynomials over finite fields. Zbl 1468.11247
Poonen, Bjorn
4
2019
A computable functor from graphs to fields. Zbl 1447.03005
Miller, Russell; Poonen, Bjorn; Schoutens, Hans; Shlapentokh, Alexandra
38
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.
7
2018
Heuristics for the arithmetic of elliptic curves. Zbl 1443.11100
Poonen, Bjorn
5
2018
Machine-assisted proofs. Zbl 1452.68262
Davenport, James; Poonen, Bjorn; Maynard, James; Helfgott, Harald; Tiep, Pham Huu; Cruz-Filipe, Luís
2
2018
Local arboreal representations. Zbl 1452.11140
Anderson, Jacqueline; Hamblen, Spencer; Poonen, Bjorn; Walton, Laura
2
2018
Rational points on varieties. Zbl 1387.14004
Poonen, Bjorn
84
2017
Automorphisms of Harbater-Katz-Gabber curves. Zbl 1372.14022
Bleher, Frauke M.; Chinburg, Ted; Poonen, Bjorn; Symonds, Peter
8
2017
Generalized explicit descent and its application to curves of genus 3. Zbl 1408.11065
Bruin, Nils; Poonen, Bjorn; Stoll, Michael
23
2016
Bertini irreducibility theorems over finite fields. Zbl 1327.14233
Charles, François; Poonen, Bjorn
15
2016
Galois points on varieties. Zbl 1425.11132
Jarden, Moshe; Poonen, Bjorn
1
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
25
2015
Computing Néron-Severi groups and cycle class groups. Zbl 1316.14017
Poonen, Bjorn; Testa, Damiano; van Luijk, Ronald
14
2015
Most odd degree hyperelliptic curves have only one rational point. Zbl 1303.11073
Poonen, Bjorn; Stoll, Michael
15
2014
Berkovich spaces embed in Euclidean spaces. Zbl 1325.14040
Hrushovski, Ehud; Loeser, François; Poonen, Bjorn
13
2014
\(p\)-adic interpolation of iterates. Zbl 1291.11135
Poonen, Bjorn
11
2014
Undecidable problems: a sampler. Zbl 1358.03063
Poonen, Bjorn
8
2014
Average rank of elliptic curves [after Manjul Bhargava and Arul Shankar]. Zbl 1295.11065
Poonen, Bjorn
4
2013
Extending self-maps to projective space over finite fields. Zbl 1303.14014
Poonen, Bjorn
3
2013
The method of Chabauty and Coleman. Zbl 1377.11077
McCallum, William; Poonen, Bjorn
48
2012
Random maximal isotropic subspaces and Selmer groups. Zbl 1294.11097
Poonen, Bjorn; Rains, Eric
40
2012
Néron-Severi groups under specialization. Zbl 1248.14011
Maulik, Davesh; Poonen, Bjorn
21
2012
Convergence of the restricted Nelder-Mead algorithm in two dimensions. Zbl 1246.49029
Lagarias, Jeffrey C.; Poonen, Bjorn; Wright, Margaret H.
10
2012
Integrality and rigidity for postcritically finite polynomials. Zbl 1291.37057
Epstein, Adam
7
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
4
2012
Self cup products and the theta characteristic torsor. Zbl 1297.18005
Poonen, Bjorn; Rains, Eric
8
2011
Automorphisms mapping a point into a subvariety. Zbl 1229.14032
Poonen, Bjorn
3
2011
Insufficiency of the Brauer-Manin obstruction applied to étale covers. Zbl 1284.11096
Poonen, Bjorn
27
2010
The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields. Zbl 1294.11110
Poonen, Bjorn; Voloch, José Felipe
20
2010
Curves over every global field violating the local-global principle. Zbl 1294.11108
Poonen, B.
5
2010
Multivariable polynomial injections on rational numbers. Zbl 1261.11030
Poonen, Bjorn
3
2010
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
18
2009
Characterizing integers among rational numbers with a universal-existential formula. Zbl 1179.11047
Poonen, Bjorn
18
2009
Existence of rational points on smooth projective varieties. Zbl 1183.14032
Poonen, Bjorn
17
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
5
2009
The set of nonsquares in a number field is diophantine. Zbl 1183.14031
Poonen, Bjorn
5
2009
Isomorphism types of commutative algebras of finite rank over an algebraic closed field. Zbl 1155.13015
Poonen, Bjorn
40
2008
The moduli space of commutative algebras of finite rank. Zbl 1151.14011
Poonen, Bjorn
19
2008
Undecidability in number theory. Zbl 1194.03018
Poonen, Bjorn
16
2008
Smooth hypersurface sections containing a given subscheme over a finite field. Zbl 1207.14047
Poonen, Bjorn
11
2008
First-order characterization of function field invariants over large fields. Zbl 1174.03015
Poonen, Bjorn; Pop, Florian
6
2008
Elliptic curves. Zbl 1214.11073
Poonen, Bjorn
1
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
39
2007
Gonality of modular curves in characteristic \(p\). Zbl 1138.14016
Poonen, Bjorn
24
2007
Uniform first-order definitions in finitely generated fields. Zbl 1197.12005
Poonen, Bjorn
5
2007
Sieve methods for varieties over finite fields and arithmetic schemes. Zbl 1149.11031
Poonen, Bjorn
1
2007
Heuristics for the Brauer-Manin obstruction for curves. Zbl 1173.11040
Poonen, Bjorn
22
2006
Bertini theorems over finite fields. Zbl 1084.14026
Poonen, Bjorn
85
2005
Finiteness results for modular curves of genus at least 2. Zbl 1127.11041
Baker, Matthew H.; González-Jiménez, Enrique; Gonzáles, Josep; Poonen, Bjorn
36
2005
Diophantine definability of infinite discrete nonarchimedean sets and Diophantine models over large subrings of number field. Zbl 1139.11056
Poonen, Bjorn; Shlapentokh, Alexandra
14
2005
Varieties without extra automorphisms. III: Hypersurfaces. Zbl 1076.14053
Poonen, Bjorn
8
2005
Unramified covers of Galois covers of low genus curves. Zbl 1082.14035
Poonen, Bjorn
3
2005
Orbits of automorphism groups of fields. Zbl 1132.12002
Kedlaya, Kiran S.; Poonen, Bjorn
3
2005
Multiples of subvarieties in algebraic groups over finite fields. Zbl 1082.14028
Poonen, Bjorn
2
2005
Random Diophantine equations. With appendices by Jean-Louis Colliot-Thélène and Nicholas M. Katz. Zbl 1208.11050
Poonen, Bjorn; Voloch, José Felipe
24
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.
10
2004
The conjugate dimension of algebraic numbers. Zbl 1062.11064
Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris
8
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
2
2004
Squarefree values of multivariable polynomials. Zbl 1047.11021
Poonen, Bjorn
49
2003
Hilbert’s Tenth Problem and Mazur’s Conjecture for large subrings of \(\mathbb{Q}\). Zbl 1028.11077
Poonen, Bjorn
29
2003
Using elliptic curves of rank one towards the undecidability of Hilbert’s tenth problem over rings of algebraic integers. Zbl 1057.11068
Poonen, Bjorn
30
2002
The Grothendieck ring of varieties is not a domain. Zbl 1054.14505
Poonen, Bjorn
28
2002
Random polynomials having few or no real zeros. Zbl 1002.60045
Dembo, Amir; Poonen, Bjorn; Shao, Qi-Man; Zeitouni, Ofer
25
2002
Computing rational points on curves. Zbl 1038.11037
Poonen, Bjorn
9
2002
The William Lowell Putnam mathematical competition 1985–2000. Problems, solutions, and commentary. Zbl 1005.00003
Kedlaya, Kiran S.; Poonen, Bjorn; Vakil, Ravi
1
2002
An explicit algebraic family of genus-one curves violating the Hasse principle. Zbl 1046.11038
Poonen, Bjorn
14
2001
Computing torsion points on curves. Zbl 1063.11017
Poonen, Bjorn
10
2001
Torsion packets on curves. Zbl 0987.14020
Baker, Matthew; Poonen, Bjorn
4
2001
Points having the same residue field as their image under a morphism. Zbl 1077.14505
Poonen, Bjorn
3
2001
The Hasse principle for complete intersections in projective space. Zbl 1079.14027
Poonen, Bjorn
3
2001
Spans of Hecke points on modular curves. Zbl 1081.11043
Poonen, Bjorn
2
2001
Large torsion subgroups of split Jacobians of curves of genus two or three. Zbl 0983.11037
Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn
46
2000
Algebraic families of nonzero elements of Shafarevich-Tate groups. Zbl 0951.11022
Colliot-Thélène, Jean-Louis; Poonen, Bjorn
19
2000
Zeros of Fekete polynomials. Zbl 1007.11053
Conrey, Brian; Granville, Andrew; Poonen, Bjorn; Soundararajan, K.
19
2000
Lattice polygons and the number 12. Zbl 0988.52024
Poonen, Bjorn; Rodriguez-Villegas, Fernando
18
2000
Varieties without extra automorphisms. II: Hyperelliptic curves. Zbl 0966.14020
Poonen, Bjorn
8
2000
Varieties without extra automorphisms. I: Curves. Zbl 0966.14019
Poonen, Bjorn
6
2000
Genus-two curves with 22 torsion points. Zbl 0966.11026
Poonen, Bjorn
2
2000
The Cassels-Tate pairing on polarized Abelian varieties. Zbl 1024.11040
Poonen, Bjorn; Stoll, Michael
76
1999
Mordell-Lang plus Bogomolov. Zbl 0995.11040
Poonen, Bjorn
23
1999
A local-global principle for densities. Zbl 1024.11047
Poonen, Bjorn; Stoll, Michael
13
1999
Computing call admission capacities in linear networks. Zbl 0969.90025
Coffman, E. G. jun.; Feldmann, Anja; Kahale, Nabil; Poonen, Bjorn
2
1999
The classification of rational preperiodic points of quadratic polynomials over \(\mathbb{Q}\): A refined conjecture. Zbl 0902.11025
Poonen, Bjorn
46
1998
The number of intersection points made by the diagonals of a regular polygon. Zbl 0913.51005
Poonen, Bjorn; Rubinstein, Michael
16
1998
Packing random intervals on-line. Zbl 0914.68082
Coffman, E. G. jun.; Flatto, L.; Jelenković, P.; Poonen, B.
16
1998
Some diophantine equations of the form \(x^n+y^n=z^m\). Zbl 0930.11017
Poonen, Bjorn
10
1998
Drinfeld modules with no supersingular primes. Zbl 0898.11024
Poonen, Bjorn
4
1998
Zeros of sparse polynomials over local fields of characteristic \(p\). Zbl 0931.11053
Poonen, Bjorn
3
1998
Cycles of quadratic polynomials and rational points on a genus-2 curve. Zbl 0958.11024
Flynn, E. V.; Poonen, Bjorn; Schaefer, Edward F.
55
1997
Explicit descent for Jacobians of cyclic covers of the projective line. Zbl 0888.11023
Poonen, Bjorn; Schaefer, Edward F.
50
1997
Torsion in rank 1 Drinfeld modules and the uniform boundedness conjecture. Zbl 0891.11034
Poonen, Bjorn
9
1997
A 2-adic approach to the analysis of cyclic codes. Zbl 0898.94011
Calderbank, A. R.; Li, Wen-Ching Winnie; Poonen, Bjorn
6
1997
On a conjecture of Helleseth regarding pairs of binary \(m\)-sequences. Zbl 0943.94513
Calderbank, A. R.; McGuire, Gary; Poonen, Bjorn; Rubinstein, Michael
12
1996
...and 13 more Documents
all top 5

Cited by 1,564 Authors

36 Poonen, Bjorn
20 Stoll, Michael
18 Shlapentokh, Alexandra
15 Miller, Russell G.
14 Creutz, Brendan
14 Fisher, Tom A.
12 Pasten, Hector V.
12 Viray, Bianca
12 Voloch, José Felipe
11 Balakrishnan, Jennifer S.
11 Bhargava, Manjul
11 Flynn, Eugene Victor
11 Ghioca, Dragos
11 Kedlaya, Kiran Sridhara
11 Loughran, Daniel
10 Buium, Alexandru
10 Doyle, John R.
10 Erdélyi, Tamás
9 Bazhenov, Nikolaĭ Alekseevich
9 Howe, Everett W.
9 Siksek, Samir
8 Gonzalez Rovira, Josep
8 Lorenzo García, Elisa
8 Mazur, Barry
8 Ritzenthaler, Christophe
8 Wood, Melanie Matchett
7 Asgarli, Shamil
7 Borwein, Peter Benjamin
7 Cornelissen, Gunther
7 Ishitsuka, Yasuhiro
7 Katz, Daniel J.
7 Li, Wanlin
7 Liu, Qing
7 Müller, Jan Steffen
7 Silverman, Joseph Hillel
6 Browning, Timothy Daniel
6 Bruin, Nils
6 Cao, Yang
6 Colliot-Thélène, Jean-Louis
6 Cremona, John E.
6 Freitas, Nuno
6 Harrison-Trainor, Matthew
6 Ingram, Patrick
6 Liang, Yongqi
6 Rojas, J. Maurice
6 Schaefer, Edward F.
6 Shparlinski, Igor E.
6 Várilly-Alvarado, Anthony
5 Bars Cortina, Francesc
5 Bennett, Michael A.
5 Berenhaut, Kenneth S.
5 Castryck, Wouter
5 Elias, Joan
5 Faber, Xander
5 Fehm, Arno
5 Hindes, Wade
5 Ito, Tetsushi
5 Knight, Julia F.
5 Krumm, David
5 Langevin, Philippe
5 Lorenzini, Dino J.
5 Manes, Michelle
5 Melnikov, Alexander G.
5 Micheli, Giacomo
5 Nakahara, Masahiro
5 Pries, Rachel J.
5 Rubin, Karl Cooper
5 Sijsling, Jeroen
5 Sutherland, Andrew V.
5 Voight, John Michael
5 Wang, Xiaoheng
5 Wu, Han
5 Xue, Jiangwei
5 Zarkhin, Yuriĭ Gennad’evich
5 Zureick-Brown, David
4 Baryshnikov, Yuliy M.
4 Benedetto, Robert L.
4 Bruhn, Henning
4 Casnati, Gianfranco
4 Česnavičius, Kęstutis
4 Clark, Peter Louis
4 David, Chantal
4 Dembo, Amir
4 Dokchitser, Vladimir
4 Dujella, Andrej
4 Favre, Charles
4 González-Jiménez, Enrique
4 Habegger, Philipp
4 Hare, Kevin G.
4 Hirakawa, Yoshinosuke
4 Ho, Wei
4 Homs Pons, Roser
4 Hutz, Benjamin
4 Ieronymou, Evis
4 Joshi, Vinayak V.
4 Kaplan, Nathan
4 Keller, Timo
4 König, Joachim
4 Le Boudec, Pierre
4 Panin, Ivan A.
...and 1,464 more Authors
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Cited in 260 Serials

106 Journal of Number Theory
52 Mathematics of Computation
45 Transactions of the American Mathematical Society
43 Journal de Théorie des Nombres de Bordeaux
42 Advances in Mathematics
40 Journal of Algebra
35 Compositio Mathematica
34 International Journal of Number Theory
33 Mathematische Annalen
33 Proceedings of the American Mathematical Society
30 Duke Mathematical Journal
28 Research in Number Theory
25 Journal of Pure and Applied Algebra
23 Algebra & Number Theory
20 Manuscripta Mathematica
19 Mathematical Proceedings of the Cambridge Philosophical Society
19 Acta Arithmetica
18 Annals of Mathematics. Second Series
17 Mathematische Zeitschrift
16 Inventiones Mathematicae
15 The Journal of Symbolic Logic
15 Finite Fields and their Applications
15 Journal of the European Mathematical Society (JEMS)
14 Bulletin of the London Mathematical Society
13 Annales de l’Institut Fourier
12 Journal für die Reine und Angewandte Mathematik
12 Experimental Mathematics
11 LMS Journal of Computation and Mathematics
11 Journal of the Institute of Mathematics of Jussieu
10 Rocky Mountain Journal of Mathematics
10 Journal of the London Mathematical Society. Second Series
10 Journal of Symbolic Computation
10 Journal of the American Mathematical Society
10 Bulletin of the American Mathematical Society. New Series
10 The Ramanujan Journal
9 Communications in Algebra
9 Monatshefte für Mathematik
9 Journal of Mathematical Sciences (New York)
8 Israel Journal of Mathematics
8 Michigan Mathematical Journal
8 Proceedings of the London Mathematical Society. Third Series
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Forum of Mathematics, Sigma
7 Discrete Mathematics
7 Algebra and Logic
7 Journal of Combinatorial Theory. Series A
7 Mathematika
7 The Annals of Applied Probability
7 Indagationes Mathematicae. New Series
7 The Electronic Journal of Combinatorics
6 Memoirs of the American Mathematical Society
6 Annals of Pure and Applied Logic
6 Forum Mathematicum
6 Linear Algebra and its Applications
6 Selecta Mathematica. New Series
6 Integers
6 European Journal of Mathematics
5 Bulletin of the Australian Mathematical Society
5 Bulletin de la Société Mathématique de France
5 Nagoya Mathematical Journal
5 Journal of the Ramanujan Mathematical Society
5 Journal of Algebraic Geometry
5 Documenta Mathematica
5 Research in the Mathematical Sciences
4 Journal of Statistical Physics
4 The Annals of Probability
4 Archiv der Mathematik
4 Commentarii Mathematici Helvetici
4 Functiones et Approximatio. Commentarii Mathematici
4 Mathematische Nachrichten
4 European Journal of Combinatorics
4 Ergodic Theory and Dynamical Systems
4 Discrete & Computational Geometry
4 Revista Matemática Iberoamericana
4 SIAM Journal on Discrete Mathematics
4 Designs, Codes and Cryptography
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 The New York Journal of Mathematics
4 Bulletin des Sciences Mathématiques
4 Acta Mathematica Sinica. English Series
4 Journal of the Australian Mathematical Society
4 Forum of Mathematics, Pi
3 Communications in Mathematical Physics
3 Journal d’Analyse Mathématique
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Canadian Mathematical Bulletin
3 Illinois Journal of Mathematics
3 Probability Theory and Related Fields
3 International Journal of Algebra and Computation
3 IMRN. International Mathematics Research Notices
3 The Journal of Geometric Analysis
3 Stochastic Processes and their Applications
3 Expositiones Mathematicae
3 Archive for Mathematical Logic
3 Applicable Algebra in Engineering, Communication and Computing
3 Journal of Algebraic Combinatorics
3 Izvestiya: Mathematics
3 Transformation Groups
3 Algebraic & Geometric Topology
3 Foundations of Computational Mathematics
...and 160 more Serials
all top 5

Cited in 54 Fields

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

Citations by Year

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