Mathematics, Ph.D.

I. Contact Information

Ilya Zaliapin, Chair, Graduate Studies Committee
Office: Davidson Mathematics and Science Center 221
Phone: (775) 784-6670
Email:  zal@unr.edu

II. Brief Introduction

The Department of Mathematics and Statistics offers a doctoral program in Mathematics to provide training in a variety of areas of modern pure and applied mathematics. The curriculum includes a broad background in foundational areas, as well as specialized courses leading to the frontiers of relevant research areas. The applied emphasis includes related interdisciplinary topics.

III. Program Objectives/Student Learning Outcomes

Students will

1. Attain and demonstrate the appropriate level of expertise in fundamental mathematics areas and in the individual’s research field.
2. Demonstrate the ability to do independent original research in mathematics on the level of a PhD dissertation.
3. Demonstrate the ability to communicate the results of this research, both orally and in writing.

IV. Admission Requirements

Applicants must meet all degree admission requirements of the Graduate School. In addition, applicants must submit Graduate Record Examination (GRE) scores and arrange for three letters of recommendation from people familiar with the applicant’s academic record and potential for advanced work in mathematics. The completion of a Master’s degree in mathematics prior to enrollment in the doctoral program is strongly recommended. All international students must comply with the appropriate Graduate School requirements. In particular, applicants whose native language is not English must include a TOEFL or IELTS score. The fall admission deadline is March 1; the spring admission deadline is November 1.

V. Program Requirements

Candidates for the Doctor of Philosophy degree must satisfy all general requirements of the Graduate School. Before being admitted to candidacy, the student must complete at least 75% of the non-elective, non-dissertation coursework, and have passed a comprehensive examination on graduate level material in mathematics. The following courses or their equivalents must be satisfactorily completed for the doctoral degree in mathematics.

• MATH 640 - Topology (3 units)
• MATH 701 - Numerical Analysis and Approximation (3 units)
• MATH 713 - Abstract and Real Analysis (3 units)
• MATH 714 - Abstract and Real Analysis (3 units)
• MATH 715 - Complex Function Theory (3 units)
• MATH 731 - Modern Algebra (3 units)
• MATH 751 - Operations Research I (3 units)
• MATH 7XX - Advanced Linear Algebra (3 units) (pending)
• MATH 799 - Dissertation (1 to 24 units)
• STAT 7XX - Probability Theory (pending) 
• Approved electives, based on research interests (21 units)
  1. 12 credit maximum of independent studies
  2.  8 credit maximum of MATH 7XX – Colloquium

VI. Total Units (72 units)

VII. Notes

Graduate students who hold half-time assistantships are not permitted to enroll for more than 10 units per semester. The following is a representative schedule.