Program: Mathematics PhD - University at Buffalo

Apr 10, 2025

WORKING 2025-2026 Graduate Catalog

The Department of Mathematics offers rigorous graduate programs that combine study and research opportunities under the direction of an internationally-known faculty. Students participate in mathematical research in the primary areas of analysis, algebra, applied mathematics and geometry/topology. Area seminars inform faculty and students on current advancements in mathematics. Mathematical training is balanced with faculty mentoring. The goal is to give students the best possible preparation for the many career opportunities available in academia, industry and government.

Curriculum

Required Core (18 Credits)

Pure Math Track
MTH 519LEC - Intro to Abstract Algebra Credits: 3
MTH 520LEC - 2nd Course Linear Algebra Credits: 3
MTH 527LEC - Introductn to Topology 1 Credits: 3
MTH 528LEC - Intro to Topology 2 Credits: 3
MTH 534LEC - Basic Measure Theory Credits: 3
MTH 625LEC - Complex Variables Credits: 3
Applied Math Track
MTH 534 - Basic Measure Theory Credits: 3
MTH 537LEC - Intro Numeric Analysis 1 Credits: 3
MTH 538LEC - Intro Numeric Analysis 2 Credits: 3
MTH 539LEC - Method of Applied Math 1 Credits: 3
MTH 540LEC - Method of Applied Math 2 Credits: 3
MTH 625 - Complex Variables Credits: 3

Electives & Culminating Experience (54 credits)

600/700/800 topic courses
All Graduate level MTH courses
MTH 800TUT - Thesis Guidance Credits: 1 - 12

Total Credit Hours: 72

3.0 Degree GPA required

Program Learning Outcomes (PLOs)

1) Graduating students will have demonstrated a deep understanding of higher concepts in two or more of the following core areas of mathematics; analysis; algebra; geometry/topology; applied mathematics; and numerical analysis.

2) Graduating students will have demonstrated a master of higher concepts in two or more of the following core areas of mathematics: analysis; algebra; geometry/topology; applied mathematics; and numerical analysis.

3) Graduates will be able to summarize major themes and current research problems in their area of specialization.

4) Graduates will be able to write original research papers in their area of research.

5) Graduates will have carried out and presented an original work of research in their discipline.

In Person (100 percent of courses offered in person)

SED Statement

This program is officially registered with the New York State Education Department (SED).