PhD in Mathematics

General

Program Description

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The Department of Mathematics offers a program of study leading to the Ph.D. degrees in mathematics and in applied mathematics. Most Ph.D. students also earn an M.S. degree in mathematics, applied mathematics, or statistics as part of their program. 

Faculty research areas include algebra, algebraic topology, analysis, differential equations, discrete mathematics, geometry, mathematical biology, probability, and statistics, and recent Ph.D. students have worked in each of these areas. 

Program Highlights

  • Our faculty are highly collaborative and students have the opportunity to work one-on-one with faculty.
  • Graduate students participate in seminars in our research areas and organize the Graduate Student Intercollegiate Mathematics Seminar.
  • Students are afforded multiple opportunities to gain teaching experience.
  • Recent graduates have obtained tenure-track and postdoctoral positions at colleges and universities, as well as positions in government and industry.

Ph.D. in Mathematics

The plan of work for the Ph.D. degree includes the Comprehensive Exam described above, and qualifying examinations. Ph.D. in Mathematics students will all take the qualifying examination in the same two areas, Algebra and Real Analysis, within two years. Students in the Ph.D. in the Applied Program will follow a parallel policy and tested on two different areas, Statistics and Applied Probability for students in the Statistics track and Analysis and Differential Equations for students in the Applied Mathematics track.  In addition, each student will be required to prepare a written plan for additional advanced course work and substantial reading of research articles.

An advanced topic examination will also be required in the third year. A general exam, in which the candidate describes the thesis program, and the doctoral dissertation and its defense complete the work for the Ph.D. degree. A student entering Lehigh without a master's degree must take 72 credits including at least 48 regular course credits (i.e. not dissertation credits). These students typically earn a Masters's degree during the process of their work. A student entering Lehigh with a master's degree must take 48 credits including at least 18 regular course credits (i.e. not dissertation credits).

Description of Programs

The department offers programs of study leading to M.S. and Ph.D. degrees in Mathematics, M.S. and Ph.D. degrees in Applied Mathematics and the M.S. degree in Statistics.

The master's programs demand 30 credit hours of graduate courses with at least 18 hours at the 400 level. Up to six hours may be replaced by a thesis. Courses are chosen in consultation with a faculty advisor or a member of the department's Graduate Committee.

The doctoral programs require a minimum of 72 credits of graduate courses beyond the bachelor's degree. Students who have earned a master's degree at another institution must register for a minimum of 48 credit hours of graduate courses.

Initially, courses are chosen in consultation with a faculty advisor or a member of the department's Graduate Committee. After completing all department requirements needed for admission to candidacy, the plan of study is directed by the student's thesis advisor and the doctoral committee. A full-time graduate student normally registers for 9 credit hours per semester. A student who has completed the minimum course credits toward the degree normally registers for only 3 credits per semester and submits a Full-Time Certification form each semester at registration. If the student has applied for and been admitted to Doctoral Candidacy (this has several requirements, including some paperwork), then the student normally registers for 1 credit of "Maintenance of Candidacy." Students should consult the College of Arts and Sciences Graduate Student Handbook and the Lehigh University Catalog for more specific information concerning rules and requirements (including deadlines).

Admission

Admissions Open: Summer/Fall/Spring

Fall Deadline for Application Review: July 15

Fall Deadline for Financial Aid Consideration: January 1

Spring Deadline for Application Review: December 1

Summer Deadline for Application Review: April 30 

Contact Information

Robert Neel, Graduate Director
Email: robert.neel@lehigh.edu
Phone Number: (610)758-5531

Admission Requirements

  • 2 Letters of Recommendation Required.
  • GRE Test Scores are Highly Recommended.

International Applicants

International Applicants are required to demonstrate English language skills equal to those required of degree-seeking students. All international applicants whose native language is not English must take the TOEFL test and submit scores.

Last updated Jun 2020

About the School

As Lehigh’s largest and most diverse college, we are home to the social sciences, arts, humanities, and natural sciences. With 1,894 undergraduate students, 342 graduate students, 270 full-time facult ... Read More

As Lehigh’s largest and most diverse college, we are home to the social sciences, arts, humanities, and natural sciences. With 1,894 undergraduate students, 342 graduate students, 270 full-time faculty and 90 professional staff, we are comparable in size and offer the intimacy of a liberal arts college, yet benefit from the resources of a research university. Our faculty are accomplished scholars, artists, and writers, recognized nationally and internationally as leaders in their fields, who share a commitment to the integration of teaching and scholarship into innovative, dynamic curricula set in an intellectually stimulating environment. Read less