# Mathematics (PhD)

## Program Description

The Department of Mathematics is part of the Courant Institute of Mathematical Sciences, an independent division of New York University. Based in Warren Weaver Hall, at the heart of New York University’s Washington Square campus, it is one of the top-ranked Mathematics departments worldwide (#4 in the US and #9 in the world as per the Shanghai rankings; #6 in the US and #8 in the world as per the QS rankings).

For more on the Courant Institute and its pioneering history in the field of applied mathematics (our department is consistently ranked #1 in applied mathematics as per USNews), see the history page.

The study of mathematics can lead to a variety of exciting professional careers. Basic research, engineering, finance, business, and government service are among the opportunities open to those with mathematical training. Moreover, with the increasing importance of basic science and information technology, prospects for careers in the mathematical sciences are very good. Mathematical analysis and computational modeling are important for solving some of the most pressing problems of our time - new energy resources, climate change, risk management, epidemiology, to name a few. We must strive to maintain our technological edge; mathematical skills will be crucial to this effort.

Some more specific business positions include portfolio analysis, design studies, statistical analysis, computer simulation, software design and testing, and other areas of operations research. There are extensive opportunities for mathematics in finance, the actuarial fields, and economic forecasting.

Many laboratories, both government and private, maintain independent research staffs that include mathematicians. Their work often deals with the development of new technology, including research in basic physics and software development, as well as applied mathematics. Numerical simulation, such as weather and climate forecasting, depends heavily on the use of supercomputers.

Practical considerations aside, there is the pleasure of learning, applying, and creating mathematics. Real world issues pose problems that can be studied by formulating and analyzing mathematical models. In some cases applications may lead to new mathematics, and a new branch of the science is born. In other cases abstract theory finds unexpected practical purpose. Working on research problems is exciting; solving difficult problems successfully is, for many, satisfaction enough.

## Admissions

All applicants to the Graduate School of Arts and Science (GSAS) are required to submit the general application requirements, which include:

- Academic Transcripts
- Test Scores (if required)
- Applicant Statements
- Résumé or Curriculum Vitae
- Letters of Recommendation, and
- A non-refundable application fee.

See Mathematics for admission requirements and instructions specific to this program.

### Dual-Degree

The Mathematics Department offers a dual-degree with the NYU School of Law: Mathematics PhD/Law JD.

See Mathematics for admission requirements and instructions specific to this program.