Doctor of Philosophy (Ph.D.) in Mathematics

The Ph.D. in Mathematical Sciences at Yeshiva University offers training and research opportunities in traditional areas of mathematics as well as in interdisciplinary applications of mathematics. Students in the program can specialize in (i) pure and applied mathematics, or (ii) computational science. Faculty research include areas such as dynamical systems, celestial mechanics, dynamical astronomy and astrophysics, partial differential equations, geometric analysis, algebra, combinatorics, mathematical physics, network science, operator theory, spectral analysis, quantum field theory, mathematics of finance, computational topology, biostatistics, machine learning, computer vision, manifold learning. Students graduating from our Ph.D. program are prepared to pursue mathematics at the highest levels, in colleges and universities, government, healthcare, research and development. The Ph.D. program offers three tracks: Track I: Three years of study for students who enter with 60 credits of graduate coursework; Track II: Four years of study for students who enter with 30 credits of graduate coursework; Track III: Five years of study for students who enter with no previous graduate coursework . Besides coursework, students are required to pass a qualifying exam and to complete a doctoral thesis on original research.

Successful incoming students to the Ph.D. program have mathematical skills, which is often demonstrated by a master's degree and a strong master's thesis. Exceptional students may be admitted to the program without a master's degree and can earn an M.A. degree in mathematics while pursuing their Ph.D. studies. Those applicants must meet admissions requirements for both the M.A. and Ph.D. programs.