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MODERN NUMBER THEORY

MATH 567
과목 설명

A course in number theory covering fundamentals and modern applications in topics of recent interest: Modular arithmetic, quadratic reciprocity, arithmetic functions, zeta function, Diophantine equations, transcendental numbers, Roth's theorem, continued fractions, and the circle method. Optional material from probability including random matrix theory.

선수과목

MATH 541 or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

충족 요건

This course does not satisfy any prerequisites.

학점

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미보고

평점
3.23

4.65% 과거 데이터 대비

수료율
90%

-2.25% 과거 데이터 대비

A 비율
50%

33.23% 과거 데이터 대비

학급 규모
20

-16.08% 과거 데이터 대비

Cumulative Grade Distribution

강사 (2026 Summr)

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유사 과목

SEMINAR IN NUMBER THEORY

MATH 967

Selected topics in Number Theory.

ALGEBRAIC NUMBER THEORY

MATH 748

A rigorous introduction to the arithmetic of number fields; algebraic integers, geometry of numbers, Dirichlet's Unit Theorem, ideal class groups, first case of Fermat's Last Theorem; prime decompositions, Galois automorphisms. Basic graduate algebra courses (e.g.MATH 741and742) are strongly recommended.

ANALYTIC NUMBER THEORY

MATH 749

An introduction to the Riemann zeta function and Dirichlet L-functions, and their application to topics such as the distribution of prime numbers and the arithmetic of quadratic fields. Familiarity with elementary number theory [such asMATH 567] and complex analysis [such asMATH 623] is strongly recommended.

INTRODUCTION TO NUMBER THEORY

MATH 467

An introduction to proof writing techniques through a study of classical topics in elementary number theory. Topics include the divisibility, basic properties of primes, congruences, Fermat's theorem.

ADVANCED TOPICS IN NUMBER THEORY

MATH 848

This is an advanced graduate topic course in number theory. Topics will vary. Target audience: Advanced graduate students in number theory, representation theory, and algebraic geometry.