CALIFORNIA STATE SCIENCE FAIR 2003 PROJECT SUMMARY Name(s) Sarah J. Hurley

Source URL: www.usc.edu

• Chemistry
• Mathematics
• Spheres
• Condensed matter physics
• Close-packing of equal spheres
• Cubic crystal system
• Crystal structure
• Sphere packing
• Kepler conjecture
• Crystallography
• Geometry
• Discrete geometry

The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 arXiv:1312.7859v1 [math.NT] 30 Dec[removed]Manjul Bhargava and Arul Shankar

Source URL: arxiv.org

• Number theory
• Elliptic curves
• Analytic number theory
• Group theory
• Modular forms
• Birch and Swinnerton-Dyer conjecture
• Curve
• J-invariant
• Tate–Shafarevich group
• Mathematics
• Abstract algebra
• Mathematical analysis

On the local Tamagawa number conjecture for Tate motives Thesis by Jay Daigle

Source URL: jaydaigle.net

• Algebraic number theory
• Field theory
• Frobenius endomorphism
• Galois theory
• Valuation
• Algebraic number field
• Motive
• Elliptic curve
• Abstract algebra
• Algebra
• Algebraic geometry

BIOGRAPHICAL DATA Dorian Goldfeld Personal Data U.S. Citizen, Birthdate: January 21, 1947, Marburg, Germany Married with two children.

Source URL: www.math.columbia.edu

• Number theory
• Modular forms
• Conjectures
• Number theorists
• Kloosterman sum
• Eisenstein series
• Converse theorem
• Automorphic form
• Birch and Swinnerton-Dyer conjecture
• Mathematics
• Mathematical analysis
• Analytic number theory

Abstract The 4-genus of a knot in S3 is an important measure of complexity, related to the unknotting number. A fundamental result used to study the 4-genus and related invariants of homology classes is the Thom conjectu

Source URL: etd.ncsi.iisc.ernet.in

• Geometric topology
• Symplectic topology
• Hamiltonian mechanics
• Symplectic geometry
• Contact geometry
• Symplectic manifold
• Thom conjecture
• Manifold
• Symplectic filling
• Topology
• Differential topology
• Theoretical physics

Elliptic Curves & Number Theory R. Sujatha School of Mathematics TIFR 1

Source URL: www.ias.ac.in

• Analytic number theory
• Elliptic curve
• Group theory
• Number theory
• Pythagorean theorem
• Birch and Swinnerton-Dyer conjecture
• Congruent number
• Mathematics
• Abstract algebra
• Geometry

Statement of Research Interests Jay Daigle 1 Introduction

Source URL: jaydaigle.net

• Algebraic number theory
• Conjectures
• Diophantine geometry
• Field theory
• Analytic number theory
• Special values of L-functions
• Weil conjecture on Tamagawa numbers
• Algebraic number field
• Motive
• Abstract algebra
• Algebra
• Mathematics

Clay Mathematics Proceedings On the Gross-Prasad conjecture for unitary groups Herv´e Jacquet and Stephen Rallis This paper is dedicated to Freydoon Shahidi.

Source URL: www.math.columbia.edu

RANKS OF QUADRATIC TWISTS OF ELLIPTIC CURVES by Mark Watkins, Stephen Donnelly, Noam D. Elkies, Tom Fisher, Andrew Granville & Nicholas F. Rogers Abstract. — We report on a large-scale project to investigate the ranks

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

• Conjectures
• Analytic number theory
• Millennium Prize Problems
• Group theory
• Number theory
• Elliptic curve
• Birch and Swinnerton-Dyer conjecture
• Quadratic residue
• Curve
• Mathematics
• Abstract algebra
• Algebra

American Political Science Review Vo1. 94, No. 1 March 2000 Improving Quantitative Studies of International Conflict: A Conjecture NATHANIEL BECK University of California, San Diego

Source URL: gking.harvard.edu

• Econometrics
• Statistical models
• Categorical data
• Data analysis
• Logistic regression
• Discrete choice
• Logit
• Linear probability model
• Choice modelling
• Statistics
• Economics
• Regression analysis