Doctor of Philosophy in Mathematics

The Ph.D. in Mathematical Sciences at Yeshiva University emphasizes the many facets of complex systems, with the latter taking abstract or concrete forms such as financial markets, biological systems, quantum materials, meta-materials, fluids, plasmas, networks and big data. The tools of analysis pursued and developed by department faculty include topological, geometrical and functional analysis, optimization theory, complexity theory, partial differential equations of elliptic, hyperbolic and mixed type, noncommutative geometry, operator algebras, risk theory, and ergodic theory.

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

A Ph.D. in mathematics is the first step to a job in materials science, dynamical systems, complex systems, and more. Students graduating from our Ph.D. program are prepared to pursue mathematics at the highest levels, as research mathematicians, university professors or applied mathematicians in business, industry or government. YU has an exceptional tradition and legacy in mathematical physics and an impressive track record of training research mathematicians. Famous alumni include Hillel Furstenberg (Abel Prize in Mathematics 2020), Benjamin Weiss, Michael Aizenman and Charles Peskin. We also leverage our excellent locations in midtown and uptown Manhattan to provide our students with internships, to build connections, and to land competitive jobs within and outside of academia.

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.

Most of our students have an undergraduate degree or other experience in economics, mathematics, computer science, physics, chemistry, engineering and similar quantitative majors. Some students also come from finance and behavioral sciences so long as theyve taken several mathematics courses. The faculty believe it's academically important to include students from a variety of different backgrounds and with a diverse set of experiences.

Prerequisites include one course in multivariate calculus (Calculus 3), one course in linear algebra and one course in statistics/probability with a grade of B or better.
If you received your degree in a country where the primary language of instruction was not English, you will also need to submit TOEFL/IELTS scores taken within the last two years (minimum scores of 100/7, respectively).