Program Overview

Doctor of Philosophy in Mathematics

The Doctor of Philosophy in Mathematics is a 75 semester credit hour program beyond the baccalaureate degree. The program is designed to provide students with advanced knowledge and research skills in mathematics.

Department Faculty

The department faculty includes:

• Professors: Zalman I. Balanov, Swati Biswas, Min Chen, Pankaj K. Choudhary, Baris Coskunuzer, Mieczyslaw K. Dabkowski, Vladimir Dragovic, Sam Efromovich, Yulia Gel, Wieslaw Krawcewicz, Susan E. Minkoff, L. Felipe Pereira, Dmitry Rachinskiy, Viswanath Ramakrishna, Janos Turi, John Zweck
• Associate Professors: Maxim Arnold, Yan Cao, Liang Hong, Yifei Lou, Oleg Makarenkov, Tomoki Ohsawa, Anh Tran
• Assistant Professors: Carlos Arreche, Sy Han (Steven) Chiou, Ronan Conlon, Qiwei Li, Stephen McKeown, Chuan-Fa Tang, Nathan Williams, Yunan Wu
• Professors Emeriti: Larry P. Ammann, M. Ali Hooshyar, Patrick Odell, John W. Van Ness
• Clinical Professor: Natalia Humphreys
• Clinical Associate Professor: Mohammad Akbar
• Clinical Assistant Professor: Wenyi (Roy) Lu
• Professors of Instruction: Anatoly Eydelzon, Manjula Foley, Bentley T. Garrett, Yuly Koshevnik
• Associate Professors of Instruction: Mohammad Ahsan, Kelly Aman, Malgorzata Dabkowska, Rabin Dahal, Derege Mussa, My Linh Nguyen, Jigarkumar Patel, Julie Sutton, Tristan Whalen
• Assistant Professors of Instruction: Anani Komla Adabrah, Iris Alvarado, Hui Ding, Adannah Duruoha, Kemelli Estacio-Hiroms, Huizhen Guo, Joselle Kehoe, Runzhou Liu, Neha Makhijani, Irina Martynova, Diarisoa Mihaja Rakotomalala, Ajaya Paudel, Nasrin Sultana

Degree Requirements

The University's general degree requirements are discussed on the Graduate Policies and Procedures page. The student must arrange a course program with the guidance and approval of the Graduate Advisor for Mathematics. A minimum of 75 semester credit hours beyond the bachelor's degree is required.

Required Courses

The following five courses have to be taken by each student:

• MATH 6301 Real Analysis
• MATH 6302 Functional Analysis I
• MATH 6303 Theory of Complex Functions I
• MATH 6311 Abstract Algebra I
• MATH 6315 Ordinary Differential Equations

Elective Courses

Each student should take at least six courses from the following list:

• MATH 6309 Differential Geometry
• MATH 6310 Topology
• MATH 6312 Combinatorics and Graph Theory
• MATH 6313 Numerical Analysis
• MATH 6316 Differential Equations
• MATH 6318 Numerical Analysis of Differential Equations
• MATH 6319 Principles and Techniques in Applied Mathematics I
• MATH 6320 Principles and Techniques in Applied Mathematics II
• MATH 6321 Optimization
• MATH 6325 Nonlinear Analysis I
• MATH 6340 Numerical Linear Algebra
• MATH 6342 Scientific Computing
• MATH 7313 Partial Differential Equations I
• MATH 7319 Functional Analysis II
• MATH 7361 Algebraic Geometry and Non-linear Equations

Electives and Dissertation

At least an additional four courses designed for the student's area of specialization are taken as electives in a degree plan designed by the student and the Graduate Advisor for Mathematics (or the student's PhD advisor). This plan is subject to approval by the Department Head. The student must pass a PhD Qualifying Examination and the oral examination in accordance with departmental policies in order to continue in the PhD program. Finally, a dissertation is required and must be approved by the graduate program. There must be available a dissertation research advisor or group of dissertation advisors willing to supervise and guide the student. A dissertation Supervising Committee should be formed in accordance with the UT Dallas policy memorandum (UTDPP1052).