MATH 8822 Number Theory II

Along with MATH8821, possible topics include factorization of ideals, local fields, local-versus-global Galois theory, Brauer group, adles and idles, class field theory, Dirichlet L-functions, Chebotarev density theorem, class number formula and Tate's thesis.

Course overview

Department
Mathematics
School
MCAS
Credits
3
Level
Both
Offered
Every Spring

Course evaluations

Response-weighted averages from Boston College’s official course evaluations (Avalanche/Blue).

Course rating
4.86 / 5 · Excellent
7 responses
Instructor rating
4.71 / 5 · Excellent
7 responses
Terms evaluated
5
Most recent: Spring 2026

Scales: overall ratings run from 1 (poor) to 5 (excellent); agreement questions from 1 (strongly disagree) to 5 (strongly agree); weekly effort from 1 (up to 1 hour) to 5 (10 or more hours).

Evaluations by term and instructor
TermInstructorCourse overallInstructor overallWell organizedClear learning objectivesIntellectually challengingHelpful assignmentsApplicable beyond courseAttendance necessaryWeekly effortResponses
Spring 2026Winston Leslie5.05.04.04.05.05.04.05.01–3 hrs/week1 of 6
Spring 2025Benjamin Howard5.05.05.05.04.0—5.04.04–6 hrs/week1 of 5
Spring 2024Benjamin Howard4.54.05.05.04.55.05.04.0—2 of 6
Spring 2023Keerthi Madapusi Pera5.05.05.05.05.05.05.05.0—2 of 6
Spring 2022Keerthi Madapusi Pera5.05.05.05.05.05.05.05.010+ hrs/week1 of 4

Data freshness

Course and evaluation data last updated 2026-10-09. Source details and limitations are documented in Data Sources and Methodology.

Instructors

Sections

  • Section 01
    Spring 2027 · Benjamin Howard · Maloney Hall 560 MWF 02:00PM-02:50PM · Offered