Mathematics

The Bachelor of Science in Mathematics at the University of Georgia offers students a comprehensive and rigorous education in mathematical theories, principles, and applications. Designed for individuals passionate about understanding the fundamental structures of mathematics, this program provides a strong foundation in pure and applied mathematics, preparing graduates for diverse careers in academia, industry, finance, technology, and education. Throughout the program, students engage with core topics such as calculus, linear algebra, discrete mathematics, probability, and statistics, alongside advanced courses in analysis, algebra, topology, and mathematical modeling. The curriculum emphasizes both theoretical understanding and practical problem-solving skills, ensuring students are equipped to tackle complex mathematical challenges in real-world contexts. In addition to coursework, students have the opportunity to participate in research projects, internships, and collaborative initiatives that enhance their analytical and critical thinking abilities. The program also encourages the development of computational skills through the integration of software tools and programming languages relevant to modern mathematics. With dedicated faculty members who are experts in their fields, students receive personalized mentorship and guidance, fostering an environment of academic excellence and intellectual curiosity. Graduates of the Mathematics program at the University of Georgia are well-prepared for advanced study in graduate or professional schools or for entering the workforce in roles that demand strong quantitative and analytical capabilities. The university’s vibrant campus community, state-of-the-art facilities, and extensive resources support student success and facilitate engagement with mathematical research and professional development opportunities. Whether aiming for a career in academia, data science, finance, engineering, or technology, students will find the Mathematics program at UGA an ideal pathway to achieving their academic and career aspirations.

The Ph.D. degree has no rigid course requirement beyond the residency requirement (however, breadth and depth of knowledge are strongly encouraged). 

It does require:

• 1. Knowledge of two "languages" as discussed below.
• 2. Passing written and oral qualifying examinations.
• 3. Writing a dissertation embodying the results of original research which is acceptable to the   student's dissertation committee.
• 4. A final oral defense of the dissertation. A student's progress towards the Ph.D. degree is initially supervised by a three person committee, increasing to four or five members following the written qualifying exams. The student's faculty advisor chooses this committee, and is its chair.

The Ph.D. Qualifying Examination System consists of two parts. The first part consists of four Written Qualifying Exams and the second consists of an Oral Qualifying Exam.

Written Qualifying Exams are offered in Algebra, Real Analysis, Complex Analysis, Topology, Numerical Analysis and Probability. The 8000-level sequences in each area are designed to prepare the student for Qualifying Exams. Written Qualifying Exams are offered every year in August and in January, during the week before the start of classes. Syllabi, and copies of old Exams, are available from the department office for students to use in studying for Exams or can be found on-line from the section for current graduate students.

Each Ph.D. candidate is required to pass four Qualifying Exams, including both Real and Complex Analysis, and either Topology or Algebra.

The Oral Qualifying Exam is based on the student's anticipated area of specialization. In it, the student is expected to present material from a research paper and to answer general questions about his or her area of specialization. It is to be taken within 1 year of the time the student passes his or her last Written Qual. (A student who passes Written Quals early will be allowed additional time to pass the Oral Qual.) To begin preparing for the Oral Qual, a committee of four or five is chosen (including the student's thesis advisor). The student prepares by reading research papers in the area, and the student, advisor, and committee agree upon a body of material for which the student will be responsible. The exam consists of a presentation on the prepared research papers, followed by a question period covering the presentation and the agreed upon body of material.

Ph.D. Language Requirements:  A student must either demonstrate: a reading knowledge of two foreign languages with significant mathematical literature, chosen from French, German, and Russian; OR a reading knowledge of one of the above languages, and sufficient competence with computers to do mathematical research; OR a reading knowledge of one of the above languages, together with sufficient improvement in English, if the student is an international student whose English is initially inadequate.
Language/Research Skills: A student can satisfy the language requirements by passing an appropriate course (French, German, or Russian 2001 or above, FREN 2500, GRMN 3500, or CSCI 7010) with a B-  or better; OR by translating an unfamiliar mathematical paper, using a dictionary, in a reasonable length of time (3-4 hours for a 4 page paper), to the satisfaction of a qualified examiner from the Mathematics faculty; OR  by having native proficiency in one of the languages above, as certified by a qualified examiner; OR doing a computer project to the satisfaction of a qualified examiner from the Mathematics faculty.

• Application for admission
• Application-processing fee
• Transcripts. Documents must be submitted in both Russian and English. Russian documents must bear the original institution stamp. The English translations must bear the original institution stamp or the original stamp/signature of the certified translator.
• 4-5 year Diplom from a recognized institution.. An official copy of the Diplom, which bears the original stamp of the issuing institution. The English translation is required and must bear the original stamp of the issuing institution or the original stamp/signature of the certified translator.
• Entrance test scores
• Letters of recommendation
• Certification of finances forms (international applicants)
• Minimum TOEFL score requirement: overall score of 80 with at least 20 on speaking and writing
• Minimum IELTS score requirement: overall band-width of 6.5, with no single band (score) below 6.0.

Want to improve your English level for admission?

Prepare for the program requirements with English Online by the British Council.

• ✔️ Flexible study schedule
• ✔️ Experienced teachers
• ✔️ Certificate upon completion

📘 Recommended for students with an IELTS level of 6.0 or below.

Enroll in the course

Scholarships

The Mathematics Department offers financial support to all PhD students as long as they are making satisfactory progress toward their degrees. Historically, about half of our MA and MAMS students have received financial support; recently, the percentage of supported Masters students has been higher. Available support includes the prestigious Presidential Fellowships at $27,000 for five years, Graduate School Assistantships with no teaching duties for two years, and Departmental Teaching Assistantships. In addition, we support most of our graduate students during the summer. 

The Mathematics program at the University of Georgia offers a comprehensive and rigorous curriculum designed to equip students with a strong foundation in mathematical theories, principles, and applications. This program aims to develop critical thinking, analytical skills, and problem-solving abilities essential for careers in academia, industry, or further research. Students are introduced to a variety of core subjects including algebra, calculus, discrete mathematics, linear algebra, differential equations, and probability theory, ensuring a well-rounded understanding of fundamental mathematical concepts. Additionally, advanced courses in areas such as topology, real analysis, complex analysis, mathematical modeling, and numerical methods are available for students seeking specialized knowledge. The program emphasizes both theoretical learning and practical application, often incorporating projects, research opportunities, and internships to foster real-world problem-solving skills. The faculty comprises experienced mathematicians dedicated to mentoring students and promoting engagement in academic research. The University of Georgia also encourages interdisciplinary collaboration, allowing mathematics students to explore connections with computer science, engineering, economics, and other fields. A variety of support services, such as tutoring centers, math labs, and faculty office hours, are available to assist students in their academic journey. Graduates of the program are well-prepared for careers in data analysis, finance, technology, education, and research, or for pursuing graduate studies in mathematics or related disciplines. The university maintains modern facilities and resources, including state-of-the-art computational tools, to support effective learning. Overall, the Mathematics program at the University of Georgia combines rigorous academic coursework with practical experience, aiming to cultivate highly competent professionals who can contribute to scientific and technological advancements.