Explicit Algorithms for Humbert Surfaces David Gruenewald A thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Pure Mathematics at the University of Sydney, December 2008

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• Abelian varieties
• Algebraic surfaces
• Analytic number theory
• Algebraic curves
• Bernhard Riemann
• Humbert surface
• Modular form
• Elliptic curve
• Complex multiplication
• Shimura variety
• AppellHumbert theorem
• Abelian surface

EXPLICIT CM-THEORY FOR LEVEL 2-STRUCTURES ON ABELIAN SURFACES ¨ REINIER BROKER, DAVID GRUENEWALD, AND KRISTIN LAUTER Abstract. For a complex abelian surface A with endomorphism ring isomorphic to

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

• Abstract algebra
• Algebra
• Ring theory
• Field theory
• Algebraic number theory
• Niels Henrik Abel
• Analytic number theory
• Abelian variety
• Complex multiplication
• Valuation
• Elliptic curve
• Sheaf

Applications of Complex Multiplication of Elliptic Curves M ASTER T HESIS Supervisor: Prof. Jean-Marc

Source URL: algant.eu

ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION TREVOR ARNOLD As a prelude to the general theory of complex multiplication of abelian varieties, we discuss the arithmetic of elliptic curves with complex multiplication (CM).

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 Be familiar with the basic notions of sets and functions and operations with sets (union, intersection, complement, subset, cartesian product) and functions (addition, multiplication, composition, graph of a function).

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• Trigonometry
• Inverse trigonometric functions
• Trigonometric functions
• Sine
• Polynomial
• Exponentiation
• Complex number
• Logarithm
• Binomial theorem
• Mathematics
• Elementary mathematics
• Special functions

Math: Precalculus Quadratic Equations with Complex Coefficients Objectives Students will be able to: • Perform arithmetic operations (addition, subtraction, multiplication, division) on complex numbers. • Solve

Source URL: www.wolframalpha.com

Math 99r Tutorial topicsFall Tutorial 2014 Complex multiplication Description: The theory of complex multiplication is not only the most beautiful part

Source URL: www.math.harvard.edu

Lesson 16 Mathematics Assessment Project Formative Assessment Lesson Materials Interpreting Algebraic Expressions

Source URL: growthmindsetmath.files.wordpress.com

• Mathematical series
• Abstract algebra
• Integer sequences
• Complex analysis
• Pi
• Multiplication
• Expression
• Factorial
• Mathematics
• Mathematical analysis
• Elementary arithmetic

Designs, Codes and Cryptography, 19, 195–c 2000 Kluwer Academic Publishers, Boston. Manufactured in The Netherlands. ° Efficient Arithmetic on Koblitz Curves*

Source URL: computacion.cs.cinvestav.mx

• Elliptic curve
• Supersingular elliptic curve
• Multiplication
• Complex multiplication
• Prime number
• Elliptic curve cryptography
• Elliptic curve point multiplication
• Abstract algebra
• Mathematics
• Elliptic curves

Priorities in Common Core Standards for Mathematical Content

Source URL: www.wi.k12.ny.us

• Binary operations
• Group theory
• Mathematics education
• Elementary algebra
• Addition
• Complex number
• Number
• Arithmetic
• Multiplication
• Mathematics
• Algebra
• Elementary arithmetic