Program of Study
You will begin specializing and focusing your educational path soon after entering the PhD program. Your dissertation advisor will help you set and reach applied research goals throughout your time in the courses. The university has research groups in algebra, combinatorics and number theory, analysis, geometry and topology, and probability and statistics.
Emerge from the PhD program with in-depth knowledge of your specified topic of interest, the communication skills to express that information and the ability to comprehend a second language in writing.
A minimum of 60 graduate credits in mathematics as approved by the advisor.
Show proficiency in four of five areas: algebra, topology, complex analysis, real analysis, or probability and statistics. You are required to successfully pass written preliminary examinations in three areas and satisfactorily finish one breadth sequence in an additional fourth area. Breadth Sequence: Two semester sequence in an area complementary to your choice of preliminary exams areas.
- Foundations of Analysis & Real Analysis
- Advanced Linear Algebra & Algebra I
- Topology I & Topology II
- Complex Analysis I & Complex Analysis II
- Introduction to Theory of Statistics & Introduction to Theory of Statistics II
Successful Completion of the Oral Qualifying Examination
Within a month of completion of all the breadth requirements, you will select a faculty member as your dissertation advisor and the area of specialty for your dissertation. Within two semesters you will take a qualifying oral exam to test your readiness to begin work on a dissertation.
Completion of a Research Tool
Display a reading knowledge of French, German, Russian, or another foreign language appropriate to your area of specialization and approved by the department. You will take a departmental examination before the oral qualifying examination.
Full Time Study in Residence
You will be engaged in full-time study beyond the master's degree or equivalent at the University in at least two sessions after admission to the advanced program. You must:
a. be registered for 12 credits per semester, or
b. hold a full assistantship and (i) complete one academic year in such a position, (ii) be registered for a minimum of 9 credits per term, and (iii) satisfactory completion of assigned duties.
Continuous Registration of Doctoral Students
You must maintain continuous registration for each fall and spring session until you have completed all program requirements. Minimum registration consists of 3 credits of approved course work or registration for dissertation load.
You must be registered for Doctoral Dissertation during the semester in which the degree is conferred. The dissertation is based on your independent research and should constitute a significant original contribution to mathematics or statistics.
In addition to the completion of course requirements, you are required to engage in some ancillary teaching, research, or practicum duties contributing to the academic development.
For more information, contact Marco Varisco at [email protected].
Learning objectives that UAlbany students are expected to attain through their course of study within their academic program.
- Gain a deep understanding of fundamental theorems and their proofs in different areas of mathematics.
- Use the knowledge of fundamental theorems and theories in reconstructing mathematical arguments.
- Apply the technique and logic arguments in solving questions, with effective and logical writing.
- Develop working knowledge of the background, feature, and recent advances of one chose area of mathematics.