Mathematics, PhD (Boston)

Graduatemajor2027 catalogScienceBoston48 semester hours totalverified parse

Official catalog page for this program

Algebra and Analysis

From the catalog
Complete 0–8 semester hours from the following:

Choose 8 semester hours from:
- MATH 5101 — Analysis 1: Functions of One Variable
- MATH 5111 — Algebra 1

Advanced Coursework

32 semester hours.

From the catalog
Complete 32 semester hours from the advanced coursework list. Only two readings and three topics courses are allowed.

Dissertation

One of:
- MATH 9990 — Dissertation Term 1
- MATH 9991 — Dissertation Term 2

Advanced Coursework List

From the catalog
MATH 7346 to MATH 7361
MATH 7976 to MATH 8986

One of:
- MATH 7205 — Numerical Analysis 2
- MATH 7221 — Topology 2
- MATH 7223 — Riemannian Optimization
- MATH 7233 — Graph Theory
- MATH 7234 — Optimization and Complexity
- MATH 7243 — Machine Learning and Statistical Learning Theory 1
- MATH 7301 — Functional Analysis
- MATH 7315 — Algebraic Number Theory
- MATH 7316 — Lie Algebras
- MATH 7320 — Modern Algebraic Geometry
- MATH 7321 — Topology 3
- MATH 7339 — Machine Learning and Statistical Learning Theory 2
- MATH 7341 — Probability 2
- MATH 7343 — Applied Statistics
- MATH 7344 — Regression, ANOVA, and Design
- Any MATH course numbered 7346–7361
- MATH 7371 — Morse Theory
- Any MATH course numbered 7976–8986
- MATH 9984 — Research

Topics

From the catalog
Only three topics courses are allowed.

One of:
- MATH 7362 — Topics in Algebra
- MATH 7363 — Topics in Algebraic Geometry
- MATH 7364 — Topics in Representation Theory
- MATH 7375 — Topics in Topology
- MATH 7381 — Topics in Combinatorics

Readings

From the catalog
Only two readings courses are allowed.

One of:
- MATH 7721 — Readings in Topology
- MATH 7734 — Readings in Algebra
- MATH 7735 — Readings in Algebraic Geometry
- MATH 7736 — Readings in Discrete Geometry
- MATH 7741 — Readings in Probability and Statistics
- MATH 7771 — Readings in Geometry

Concentrations (choose 1)

Pure Track

From the catalog
Complete up to 8 semester hours from the following:

MATH 5102 — Analysis 2: Functions of Several Variables
MATH 5112 — Algebra 2
Choose 8 semester hours from:
- MATH 5122 — Geometry 1
- MATH 5352 — Quantum Computation and Information
- MATH 7202 — Partial Differential Equations 1
- MATH 7203 — Numerical Analysis 1
- MATH 7241 — Probability 1

Discrete Track

From the catalog
Complete up to 8 semester hours from the following:

MATH 5112 — Algebra 2
MATH 7241 — Probability 1
Choose 8 semester hours from:
- MATH 5102 — Analysis 2: Functions of Several Variables
- MATH 5111 — Algebra 1
- MATH 5112 — Algebra 2
- MATH 5352 — Quantum Computation and Information
- MATH 7202 — Partial Differential Equations 1
- MATH 7203 — Numerical Analysis 1
- MATH 7342 — Mathematical Statistics

Probability and Statistics Track

From the catalog
Complete 4 semester hours from the following:
Complete up to 8 semester hours from the following:

Choose 4 semester hours from:
- MATH 5102 — Analysis 2: Functions of Several Variables
- MATH 7203 — Numerical Analysis 1
One of:
- MATH 7241 — Probability 1
- MATH 7342 — Mathematical Statistics
Choose 8 semester hours from:
- MATH 5102 — Analysis 2: Functions of Several Variables
- MATH 5112 — Algebra 2
- MATH 5352 — Quantum Computation and Information
- MATH 7202 — Partial Differential Equations 1
- MATH 7203 — Numerical Analysis 1
- MATH 7241 — Probability 1
- MATH 7342 — Mathematical Statistics

GPA requirements

48–56 total semester hours required Minimum 3.000 GPA required

Parsed from the catalog by NU Map; the structured machine copy is in this college's JSON for the 2027 catalog, under mathematics-phd-boston, and the official page is the authority.