Ph.D. in Mathematics

At Stevens, doctoral students in mathematics choose their research topics from a range of areas at the forefront of research, including stochastic modeling, graph theory, group theory, probability, the mathematics of finance, and mathematical aspects of cryptography. Ph.D. candidates work with a faculty mentor to produce a dissertation containing an original and significant result in mathematics and its application.

Faculty Distinctions

  • A recognized expert in graph theory and network analysis, Douglas Bauer has published over 50 research articles. His work has been supported by NATO and the National Security Agency.
  • Darinka Dentcheva leads the department’s research on stochastic systems analysis and optimization. With more than 40 publications in research journals to her credit, she is associate editor of the SIAM Journal on Optimization and serves on the Stochastic Programming Committee of the Mathematical Programming Society.
  • Robert Gilman is regularly invited to speak at conferences worldwide and has been a member of several research institutes, including the Institute for Advanced Study, the Mathematical Sciences Research Institute, and the Institut des Hautes Études Scientifiques. He serves on the editorial board of the Journal of Mathematical Cryptography and is a member of the Eastern Section Program Committee of the American Mathematical Society.

Research Areas

  • Stochastic systems analysis and optimization. Stevens is one of the few math departments with a focus on this new and important area, which concerns decision making for complex systems involving uncertain data and risks. Application areas include financial systems, network design, telecommunication, medicine, and other areas.
  • Mathematical cryptography. At the Institute’s Algebraic Cryptography Center, faculty from the mathematics and computer science departments apply new techniques from computational algebra to problems in cryptography and cryptanalysis. Research focuses on the theoretical development of complexity measures and their application to cryptanalysis of public key cryptosystems. Graduate students participate actively in this exciting new venture.
  • Other research areas in the department include graph theory, operations research, group theory, partial differential equations, and probability and statistics.

Alumni Accomplishments

Our graduates work in both industry and academia. Typical employers are the pharmaceutical industry and nearby colleges and universities.

Admissions

To enter a graduate engineering program at Stevens, you must submit the following:

  • Completed application
  • Application fee
  • Official college transcripts from all colleges attended
  • Official or attested conferment of bachelor’s degree
  • Two letters of recommendation

International applicants (who are not U.S. citizens or permanent residents) must also submit:

  • Official TOEFL score, sent to School Code #2819
  • Financial Verification Form or I-134

To enter the doctoral program in mathematics, you must apply through the departmental graduate admissions committee. Admission is based on a review of your scholastic record. A master’s degree is required; your master’s-level academic performance must reflect your capability to pursue advanced studies and conduct independent research.

Degree Requirements

You must earn 84 graduate credits* to complete the doctoral program. Of these credits, 15 to 30 must be earned through course work, and 30 to 45 via dissertation work. You may apply up to 30 credits from a master’s program toward your doctoral degree.

Within two years of your admission, you must take a written qualifying examination to test your comprehension of engineering fundamentals and mathematics. After passing the qualifying examination and completing the required course work, you must take an oral preliminary examination to evaluate your aptitude for advanced research and your understanding of the subjects associated with your dissertation topics. Upon satisfactory completion of this oral examination, you become a doctoral candidate and start your dissertation research.

Doctoral research must be based on an original investigation, and the results must make a significant, state-of-the-art contribution to the field, worthy of publication in current professional literature. At the completion of the research, you must defend your thesis in a public presentation.

*If you entered the PhD program before the Fall 2012 semester, you must earn 90 credits to complete your degree.