2016-2017 2017-2018 2018-2019 2019-2020 2020-2021
 Browseby subject... Scheduleview...
 COVID-19 Scheduling Updates! Due to recent announcements about Autumn Quarter (see the President's update), please expect ongoing changes to the class schedule.

# 101 - 110 of 140 results for: MATH

## MATH 244:Riemann Surfaces

Riemann surfaces and holomorphic maps, algebraic curves, maps to projective spaces. Calculus on Riemann surfaces. Elliptic functions and integrals. Riemann-Hurwitz formula. Riemann-Roch theorem, Abel-Jacobi map. Uniformization theorem. Hyperbolic surfaces. (Suitable for advanced undergraduates.) Prerequisites: MATH 106 or MATH 116, and familiarity with surfaces equivalent to MATH 143, MATH 146, or MATH 147.
Last offered: Autumn 2017 | Repeatable for credit

## MATH 245A:Topics in Algebraic Geometry

Topics of contemporary interest in algebraic geometry. May be repeated for credit.nnNOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Last offered: Autumn 2019 | Repeatable for credit

## MATH 245B:Topics in Algebraic Geometry

May be repeated for credit.nnNOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Last offered: Winter 2020 | Repeatable for credit

## MATH 245C:Topics in Algebraic Geometry

May be repeated for credit.
Terms: Spr | Units: 3 | Repeatable for credit
Instructors: Vakil, R. (PI)

## MATH 246:Topics in number theory: L-functions

The Riemann Zeta function and Dirichlet L-functions, zero-free regions and vertical distribution of the zeros, primes in arithmetic progressions, the class number problem, Hecke L-functions and Tate's thesis, Artin L-functions and the Chebotarev density theorem, Modular forms and Maass forms.nnPrerequisites: Algebraic Number Theory.
Last offered: Spring 2016 | Repeatable for credit

## MATH 248:Introduction to Ergodic Theory

Topics may include 1) subadditive and multiplicative ergodic theorems, 2) notions of mixing, weak mixing, spectral theory, 3) metric and topological entropy of dynamical systems, 4) measures of maximal entropy. Prerequisites: Solid background in "Measure and Integration" ( Math 205A) and some functional analysis, including Riesz representation theorem and Hahn-Banach theorem ( Math 205B).
Last offered: Autumn 2014 | Repeatable for credit

## MATH 249A:Topics in number theory

Topics of contemporary interest in number theory. May be repeated for credit.nnNOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Aut | Units: 3 | Repeatable for credit

## MATH 249B:Topics in Number Theory

NOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Win | Units: 3 | Repeatable for credit
Instructors: Taylor, R. (PI)

## MATH 249C:Topics in Number Theory

NOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Last offered: Spring 2020 | Repeatable for credit

## MATH 256A:Partial Differential Equations

The theory of linear and nonlinear partial differential equations, beginning with linear theory involving use of Fourier transform and Sobolev spaces. Topics: Schauder and L2 estimates for elliptic and parabolic equations; De Giorgi-Nash-Moser theory for elliptic equations; nonlinear equations such as the minimal surface equation, geometric flow problems, and nonlinear hyperbolic equations.nnNOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Spr | Units: 3
Instructors: Luk, J. (PI)
Filter Results:
term offered
 Autumn Winter Spring Summer
updating results...
teaching presence
 in person remote: asynchronous remote: synchronous independent studies
updating results...
number of units
 1 unit 2 units 3 units 4 units 5 units >5 units
updating results...
time offered
 early morning (before 10am) morning (10am-12pm) lunchtime (12pm-2pm) afternoon (2pm-5pm) evening (after 5pm)
updating results...
days
 Monday Tuesday Wednesday Thursday Friday Saturday Sunday
updating results...
UG Requirements (GERs)
 WAY-A-II WAY-AQR WAY-CE WAY-ED WAY-ER WAY-FR WAY-SI WAY-SMA Language Writing 1 Writing 2 Writing SLE DB:Hum DB:Math DB:SocSci DB:EngrAppSci DB:NatSci EC:EthicReas EC:GlobalCom EC:AmerCul EC:Gender IHUM1 IHUM2 IHUM3
updating results...
component
 Lecture (LEC) Seminar (SEM) Discussion Section (DIS) Laboratory (LAB) Lab Section (LBS) Activity (ACT) Case Study (CAS) Colloquium (COL) Workshop (WKS) Independent Study (INS) Intro Dial, Sophomore (IDS) Intro Sem, Freshman (ISF) Intro Sem, Sophomore (ISS) Internship (ITR) Arts Intensive Program (API) Language (LNG) Clerkship (CLK) Practicum (PRA) Practicum (PRC) Research (RES) Sophomore College (SCS) Thesis/Dissertation (T/D)
updating results...
career