Bjorn Poonen
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American mathematician
Bjorn Poonen's AcademicInfluence.com Rankings
Bjorn Poonenmathematics Degrees
Mathematics
#696
World Rank
#1277
Historical Rank
#303
USA Rank
Measure Theory
#2730
World Rank
#3262
Historical Rank
#787
USA Rank
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Mathematics
Bjorn Poonen's Degrees
- PhD Mathematics University of California, Berkeley
Why Is Bjorn Poonen Influential?
(Suggest an Edit or Addition)According to Wikipedia, Bjorn Mikhail Poonen is a mathematician, four-time Putnam Competition winner, and a Distinguished Professor in Science in the Department of Mathematics at the Massachusetts Institute of Technology. His research is primarily in arithmetic geometry, but he has occasionally published in other subjects such as probability and computer science. He has edited two books.
Bjorn Poonen's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Bertini theorems over finite fields (2002) (223)
- Rational Points on Varieties (2017) (198)
- The Cassels-Tate pairing on polarized abelian varieties (1999) (179)
- Explicit descent for Jacobians of cyclic coevers of the projective line. (1997) (142)
- Large torsion subgroups of split Jacobians of curves of genus two or three (1998) (124)
- Cycles of quadratic polynomials and rational points on a genus-$2$ curve (1995) (120)
- The Grothendieck ring of varieties is not a domain (2002) (95)
- Twists of X(7) and primitive solutions to x^2+y^3=z^7 (2005) (94)
- Squarefree values of multivariable polynomials (2002) (91)
- Random maximal isotropic subspaces and Selmer groups (2010) (90)
- Arithmetic of Higher-Dimensional Algebraic Varieties (2012) (79)
- Random polynomials having few or no real zeros (2000) (77)
- The classification of rational preperiodic points of quadratic polynomials over ${\Bbb Q}$: a refined conjecture (1998) (76)
- Insufficiency of the Brauer-Manin obstruction applied to étale covers (2008) (75)
- Finiteness results for modular curves of genus at least 2 (2002) (71)
- Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves (2013) (71)
- The zeta function of the beta transformation (1994) (70)
- Lattice Polygons and the Number 12 (2000) (68)
- THE METHOD OF CHABAUTY AND COLEMAN WILLIAM MCCALLUM AND (2017) (67)
- Local height functions and the Mordell-Weil theorem for Drinfeld modules (1995) (66)
- Néron–Severi groups under specialization (2009) (63)
- The Number of Intersection Points Made by the Diagonals of a Regular Polygon (1995) (62)
- A heuristic for boundedness of ranks of elliptic curves (2016) (60)
- Heuristics for the Brauer–Manin Obstruction for Curves (2005) (60)
- Most odd degree hyperelliptic curves have only one rational point (2013) (59)
- Computational Aspects of Curves of Genus at Least 2 (1996) (59)
- ISOMORPHISM TYPES OF COMMUTATIVE ALGEBRAS OF FINITE RANK OVER AN ALGEBRAICALLY CLOSED FIELD (2016) (58)
- Mordell-Lang plus Bogomolov (1998) (58)
- Gonality of modular curves in characteristic~$p$ (2006) (58)
- Using Elliptic Curves of Rank One towards the Undecidability of Hilbert's Tenth Problem over Rings of Algebraic Integers (2002) (57)
- The moduli space of commutative algebras of finite rank (2006) (55)
- Hilbert's Tenth Problem and Mazur's Conjecture for large subrings of $\mathbb{Q}$ (2003) (54)
- A COMPUTABLE FUNCTOR FROM GRAPHS TO FIELDS (2015) (48)
- Bertini irreducibility theorems over finite fields (2013) (48)
- The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields (2006) (47)
- HILBERT’S TENTH PROBLEM AND MAZUR’S CONJECTURE FOR LARGE SUBRINGS OF Q (2003) (46)
- Convergence of the Restricted Nelder-Mead Algorithm in Two Dimensions (2011) (45)
- Zeros of Fekete polynomials (1999) (44)
- Independence of points on elliptic curves arising from special points on modular and Shimura curves, II: local results (2009) (44)
- Some diophantine equations of the form x n +y n = z m (1998) (42)
- Characterizing integers among rational numbers with a universal-existential formula (2007) (42)
- Packing Random Intervals On-Line (1998) (41)
- HILBERT'S TENTH PROBLEM OVER RINGS OF NUMBER-THEORETIC INTEREST (2003) (39)
- UNDECIDABLE PROBLEMS: A SAMPLER (2012) (38)
- An explicit algebraic family of genus-one curves violating the Hasse principle (1999) (38)
- A 2-adic approach to the analysis of cyclic codes (1997) (38)
- Existence of rational points on smooth projective varieties (2007) (36)
- Computing Néron–Severi groups and cycle class groups (2012) (34)
- Curves of every genus with many points, II: Asymptotically good families (2002) (32)
- GENERALIZED EXPLICIT DESCENT AND ITS APPLICATION TO CURVES OF GENUS 3 (2012) (32)
- The William Lowell Putnam Mathematical Competition, 1985-2000 : problems, solutions, and commentary (2002) (30)
- Smooth hypersurface sections containing a given subscheme over a finite field (2010) (30)
- Union-Closed Families (1992) (28)
- A Local-Global Principle for Densities (1999) (27)
- Diophantine definability of infinite discrete nonarchimedean sets and Diophantine models over large subrings of number fields (2004) (27)
- Computing Torsion Points on Curves (2001) (27)
- Varieties without extra automorphisms III: hypersurfaces (2005) (27)
- Torsion in rank 1 Drinfeld modules and the uniform boundedness conjecture (1995) (26)
- p‐adic interpolation of iterates (2013) (26)
- On a conjecture of Helleseth regarding pairs of binary m-sequences (1996) (25)
- COMPUTING RATIONAL POINTS ON CURVES (2001) (25)
- Berkovich spaces embed in Euclidean spaces (2012) (23)
- The Worst Case in Shellsort and Related Algorithms (1993) (22)
- Random Diophantine Equations (2004) (21)
- Abelian varieties isogenous to a power of an elliptic curve (2016) (21)
- Self cup products and the theta characteristic torsor (2011) (21)
- THE CONJUGATE DIMENSION OF ALGEBRAIC NUMBERS (2003) (21)
- Varieties without extra automorphisms~I: curves (2000) (20)
- Algebraic families of nonzero elements of Shafarevich-Tate groups (1999) (18)
- Reservation Probabilities (18)
- Uniform first-order definitions in finitely generated fields (2005) (18)
- Improved lower bounds for Shellsort (1992) (16)
- Varieties without extra automorphisms II: hyperelliptic curves (2000) (16)
- Some diophantine equations of the form (2006) (15)
- Some diophantine equations of the form (2006) (15)
- The set of nonsquares in a number field is diophantine (2007) (15)
- INDEPENDENCE OF POINTS ON ELLIPTIC CURVES ARISING FROM SPECIAL POINTS ON MODULAR AND SHIMURA CURVES , I : GLOBAL RESULTS (2007) (15)
- ZEROS OF SPARSE POLYNOMIALS OVER LOCAL FIELDS OF CHARACTERISTIC p (1998) (15)
- The Hasse Principle for Complete Intersections in Projective Space (2001) (14)
- Explicit methods in number theory. Rational points and Diophantine equations. (2012) (14)
- Tate's Thesis (14)
- Automorphisms of Harbater–Katz–Gabber curves (2015) (13)
- COMPUTING CALL ADMISSION CAPACITIES IN LINEAR NETWORKS (1999) (13)
- Unramified covers of Galois covers of low genus curves (2005) (13)
- Drinfeld modules with no supersingular primes (1998) (13)
- Parking Arcs on the Circle with Applications to One-Dimensional Communication Networks (1994) (12)
- Packing random intervals (1995) (12)
- Average Rank of Elliptic Curves [after Manjul Bhargava and Arul Shankar] (2012) (12)
- Fractional Power Series and Pairings on Drinfeld Modules (1995) (11)
- Gonality of dynatomic curves and strong uniform boundedness of preperiodic points (2017) (11)
- Points Having the Same Residue Field as Their Image under a Morphism (2001) (10)
- Local arboreal representations (2016) (10)
- Using zeta functions to factor polynomials over finite fields (2017) (10)
- Torsion Packets on Curves (2001) (10)
- Multivariable polynomial injections on rational numbers (2009) (9)
- Automorphisms mapping a point into a subvariety (2009) (9)
- Curves over every global field violating the local-global principle (2009) (9)
- ORBITS OF AUTOMORPHISM GROUPS OF FIELDS (2004) (8)
- Spans of Hecke points on modular curves (2001) (8)
- The Complete Classification of Rational Preperiodic Points of Quadratic Polynomials over Q: A Refined Conjecture (1995) (7)
- The local-global principle for integral points on stacky curves (2020) (7)
- First-order definitions in function fields over anti-Mordellic fields (2006) (7)
- Abelian varieties of prescribed order over finite fields (2021) (7)
- The Exceptional Locus in the Bertini Irreducibility Theorem for a Morphism (2020) (7)
- Model Theory with Applications to Algebra and Analysis: First-order characterization of function field invariants over large fields (2008) (7)
- The analytic class number formula for 1‐dimensional affine schemes (2016) (6)
- Uniform boundedness of rational points and preperiodic points (2012) (6)
- PERIODICITY OF A COMBINATORIAL SEQUENCE (1986) (6)
- Genus-two curves with 22 torsion points (2000) (5)
- Space vectors forming rational angles. (2020) (5)
- Statistics of K-groups modulo p for the ring of integers of a varying quadratic number field (2017) (5)
- Why All Rings Should Have a 1 (2014) (5)
- THE VALUATION OF THE DISCRIMINANT OF A HYPERSURFACE (2020) (4)
- Everywhere Ramified Towers of Global Function Fields (2003) (4)
- Relations among modular points on elliptic curves (2007) (4)
- The Selmer Group, the Shafarevich-tate Group, and the Weak Mordell-weil Theorem (3)
- Multiples of subvarieties in algebraic groups over finite fields (2005) (3)
- Sieve methods for varieties over finite fields and arithmetic schemes (2007) (3)
- Undecidability in number theory (2007) (3)
- Extending self-maps to projective space over finite fields (2013) (3)
- How to Spread Rumors Fast (1997) (3)
- AVERAGE RANK OF ELLIPTIC CURVES (2012) (3)
- Problems: 10375-10381 (1994) (3)
- HEURISTICS FOR THE ARITHMETIC OF ELLIPTIC CURVES (2017) (3)
- The p-adic closure of a subgroup of rational points on a commutative algebraic group (2007) (3)
- Congruences Relating the Order of a Group to the Number of Conjugacy Classes (1995) (3)
- Néron-Tate Projection Of Algebraic Points (2000) (3)
- Machine-Assisted Proofs (ICM 2018 Panel) (2018) (3)
- The Processor Minimization Problem with Independent Waiting-Time Constraints (1994) (2)
- The Brauer-Manin obstruction for curves and the descent obstruction (2012) (2)
- The analytic class number formula for orders in products of number fields (2016) (2)
- Lattices in Tate modules (2021) (2)
- Extending Self-maps to Projective Space (2)
- A $p$-adic approach to rational points on curves (2020) (2)
- Unique factorization of principally polarized abelian varieties (2016) (1)
- The Work of the 2014 Fields Medalists (2014) (1)
- COM volume 145 issue 3 Cover and Front matter (2009) (1)
- Detection and Remediation of Stagnation in the Nelder-mead Algorithm Using a Suucient Decrease Condition, Technical Report (1996) (1)
- Rigidity and Semi-invariants in Drinfeld Modules (1995) (1)
- NÉRON – SEVERI GROUPS AND CYCLE CLASS GROUPS (2012) (1)
- Elementary Problems: E3225-E3230 (1987) (1)
- Undecidability inNumber Theory (2008) (1)
- Sums of values of a rational function (2004) (1)
- Problems: 10473-10479 (1995) (0)
- Lower bounds for shellshort (1992) (0)
- Erratum to “Bertini irreducibility theorems over finite fields” (2018) (0)
- Automorphisms of Harbater–Katz–Gabber curves (2016) (0)
- p-adic Methods in Number Theory: A Conference Inspired by the Mathematics of Robert Coleman May 26-30, 2015 (2015) (0)
- Workshop: Explicit Methods in Number Theory Table of Contents (2014) (0)
- The Brauer-Manin obstruction for abelian varieties and curves (2012) (0)
- Explicit methods for rational points on curves (2007) (0)
- Undecidability in number theory1 (2017) (0)
- SELMER GROUP HEURISTICS AND SIEVES (2014) (0)
- Mathematisches Forschungsinstitut Oberwolfach Report No . 32 / 2005 Explicit Methods in Number Theory (2005) (0)
- Atlanta Marriott Marquis, Atlanta, Georgia January 7–8, 2005 (2005) (0)
- The proportion of derangements characterizes the symmetric and alternating groups (2021) (0)
- Research Seminars: A New Hope (2020) (0)
- Linear independence in linear systems on elliptic curves (2020) (0)
- Problems: 10368-10374 (1994) (0)
- MACHINE-ASSISTED PROOFS (2019) (0)
- Root polytopes , triangulations , and subdivision algebras by Karola Meszairos (2010) (0)
- The exceptional locus in the Bertini irreducibility theorem is small (2020) (0)
- Contemporary Mathematics Using zeta functions to factor polynomials over finite fields (2017) (0)
- N T ] 1 7 O ct 2 01 6 LOCAL ARBOREAL REPRESENTATIONS (2018) (0)
- PRESS RELEASE: TETRAHEDRA WITH RATIONAL DIHEDRAL ANGLES (2020) (0)
- AVERAGE RANK OF ELLIPTIC CURVES [ after (2012) (0)
- Explicit Methods in Number Theory (2019) (0)
- ELLIPTIC CURVES (1999) (0)
- The Divisible Differences Property: 10553 (1999) (0)
- DRINFELD MODULES WITH NO SUPERSINGULAR PRIMESBJORN POONENAbstract (2001) (0)
- Ju n 20 21 ABELIAN VARIETIES OF PRESCRIBED ORDER OVER FINITE FIELDS (2021) (0)
- Ju n 20 05 ORBITS OF AUTOMORPHISM GROUPS OF FIELDS (2005) (0)
- A BRIEF SUMMARY OF THE STATEMENTS OF CLASS FIELD THEORY (2006) (0)
- The classical Bertini theorems over an infinite field k state that if a subscheme X ⊆ (2014) (0)
- Torsors and the descent obstruction (2012) (0)
- INFINITY: CARDINAL NUMBERS (1999) (0)
- Problems: 10550-10556 (1996) (0)
- Rational points on varieties, Brauer-Manin obstruction (2012) (0)
- Elementary Problems: E3361-E3366 (1990) (0)
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