Mathematics, PhD

Program Overview

Arizona State University's PhD program in Mathematics emphasizes a solid foundation and innovative scholarship in mathematics and related disciplines. Students collaborate with renowned faculty in various research areas, including analysis, number theory, geometry, and discrete mathematics. The program prepares graduates for successful careers in academia, research, and industry, with a focus on developing strong mathematical abilities and research skills.

Program Outline

Degree Overview:

The PhD program in Mathematics at Arizona State University (ASU) is designed for students with exceptional mathematical ability. The program emphasizes a solid foundation in mathematics and promotes innovative scholarship in mathematics and its many related disciplines. The program aims to prepare students for successful careers in academia, research, and industry. The program offers a unique opportunity for students to collaborate with renowned faculty in the School of Mathematical and Statistical Sciences, who are actively involved in research in various areas including analysis, number theory, geometry, and discrete mathematics.

Outline:

Required Courses (33 credit hours):

• MAT 501: Geometry and Topology of Manifolds I (3) or
• MAT 516: Graph Theory I (3) or
• MAT 543: Abstract Algebra I (3) or
• MAT 570: Real Analysis I (3)
• MAT 591: Seminar (3)
• 24-39 credit hours of electives chosen from math or related area courses approved by the student's supervisory committee.
• Research (27-42 credit hours):
• MAT 792: Research
• Culminating Experience (12 credit hours):
• MAT 799: Dissertation (12)

Additional Requirements:

• Students must pass two qualifying examinations, a written comprehensive examination, and an oral dissertation prospectus defense.
• Each student must write a dissertation and defend it orally in front of five dissertation committee members.

Assessment:

The program utilizes various assessment methods to evaluate students' progress and ensure they meet the required learning outcomes. These methods include:

• Coursework: Regular assignments, quizzes, and exams assess students' understanding of the course material and their ability to apply mathematical concepts.
• Qualifying examinations: Two qualifying exams assess students' mastery of core mathematical knowledge and their readiness for advanced study.
• Dissertation proposal defense: Students present their dissertation proposal to their committee and defend their research plan.
• Dissertation defense: Students present their completed dissertation and defend their research findings to their committee.

Teaching:

The program offers a diverse range of teaching methods to cater to different learning styles and preferences. These methods include:

• Lectures: Traditional lectures provide students with foundational knowledge and an overview of key concepts.
• Seminars: Interactive seminars offer students the opportunity to discuss advanced topics in depth and engage with faculty and peers.
• Research projects: Individual and collaborative research projects allow students to apply their mathematical skills to real-world problems and develop their research skills.
• Independent study: Students have the opportunity to pursue independent study under the guidance of a faculty member.

Careers:

Graduates of the PhD program in Mathematics are highly sought after in various industries, including:

• Academia: Faculty positions at universities and colleges.
• Finance and Investment: Quantitative analysts, financial analysts, and investment bankers.
• Government: Researchers and analysts in government agencies and research labs.
• Industry: Data scientists, statisticians, and mathematicians in various industries, including technology, healthcare, and engineering.

Other:

• The program is STEM-OPT eligible, allowing international students to extend their F-1 visa for up to 36 months to gain practical experience in the U.S.
• The program welcomes students with diverse backgrounds and encourages applications from underrepresented groups in mathematics.
• The School of Mathematical and Statistical Sciences offers a vibrant research environment with numerous opportunities for collaboration and interdisciplinary research.