Proc. Int. Cong. of Math. – 2018 Rio de Janeiro, Vol–412) HEURISTICS FOR THE ARITHMETIC OF ELLIPTIC CURVES Bjorn Poonen

Source URL: eta.impa.br

• Mathematics
• Number theory
• Elliptic curves
• Discrete mathematics
• Analytic number theory
• Conjectures
• Rank of an elliptic curve
• TateShafarevich group
• Elliptic curve cryptography
• Elliptic curve
• Birch and Swinnerton-Dyer conjecture
• Rational point

Arithmetic and Diophantine Geometry 14Gxx [1] Matthew H. Baker, Enrique Gonz´alez-Jim´enez, Josep Gonz´alez, and Bjorn Poonen, Finiteness results for modular curves of genus at least 2, Amer. J. Math), no.

Source URL: magma.maths.usyd.edu.au

CURVES OF EVERY GENUS WITH MANY POINTS, II: ASYMPTOTICALLY GOOD FAMILIES NOAM D. ELKIES, EVERETT W. HOWE, ANDREW KRESCH, BJORN POONEN, JOSEPH L. WETHERELL, AND MICHAEL E. ZIEVE Abstract. We resolve a 1983 question of Ser

Source URL: dept.math.lsa.umich.edu

PRACTICAL SUGGESTIONS FOR MATHEMATICAL WRITING BJORN POONEN In the examples below, red is bad and green is good. 1. Important things (1) If a claim does not follow immediately from the previous sentence alone, explain wh

Source URL: math.mit.edu

THE BRAUER-MANIN OBSTRUCTION FOR SUBVARIETIES OF ABELIAN VARIETIES OVER FUNCTION FIELDS ´ FELIPE VOLOCH BJORN POONEN AND JOSE Abstract. We prove that for a large class of subvarieties of abelian varieties over global fu

Source URL: www.ma.utexas.edu

• Niels Henrik Abel
• Analytic number theory
• Ring theory
• Algebraic geometry
• Algebraic structures
• Free abelian group
• Profinite group
• Abelian group
• Abelian variety
• Field extension
• Algebraic number field
• Elliptic curve

RANDOM DIOPHANTINE EQUATIONS ´ FELIPE VOLOCH BJORN POONEN AND JOSE ´ le `ne and Nicholas M. Katz)

Source URL: www.ma.utexas.edu

• Algebraic number theory
• Ring theory
• Homology theory
• Field theory
• Brauer group
• tale cohomology
• Algebraic number field
• Poincar duality
• Cohomology
• Hasse principle
• Ring
• Hodge conjecture

A HEURISTIC FOR BOUNDEDNESS OF RANKS OF ELLIPTIC CURVES JENNIFER PARK, BJORN POONEN, JOHN VOIGHT, AND MELANIE MATCHETT WOOD Abstract. We present a heuristic that suggests that ranks of elliptic curves E over Q are bounde

Source URL: math.dartmouth.edu

KALOYAN SLAVOV Department of Mathematics ETH Z¨ urich R¨ amistrasse 101

Source URL: people.math.ethz.ch

• Guggenheim Fellows
• Discrete geometry
• Harmonic analysis
• Kakeya set
• Real analysis
• David Mumford
• Bjorn Poonen
• Moduli space

Undecidability in Number Theory Bjorn Poonen D

Source URL: www.ams.org

• Group theory
• Field theory
• Computability theory
• Diophantine set
• Number theory
• Recursively enumerable set
• Polynomial
• Elliptic curve
• Finite field
• Mathematics
• Abstract algebra
• Diophantine equations

TWISTS OF X(7) AND PRIMITIVE SOLUTIONS TO x2 + y 3 = z 7 BJORN POONEN, EDWARD F. SCHAEFER, AND MICHAEL STOLL Abstract. We find the primitive integer solutions to x2 + y 3 = z 7 . A nonabelian descent argument involving t

Source URL: math.mit.edu

• Algebraic curves
• Group theory
• Algebraic number theory
• Elliptic curve
• J-invariant
• Algebraic number field
• Modular curve
• Μ operator
• Classical modular curve
• Abstract algebra
• Analytic number theory
• Modular forms