The Courant Institute is considered one of the leading and most prestigious mathematics schools and mathematical sciences research centers in the world. It is ranked #1 in applied mathematical research in US, #5 in citation impact worldwide, and #12 in citation worldwide. On the Faculty Scholarly Productivity Index, it is ranked #3 with an index of 1.84. It is also known for its extensive research in pure mathematical areas, such as partial differential equations, probability and geometry, as well as applied mathematical areas, such as computational biology, computational neuroscience, and mathematical finance. The Mathematics Department of the Institute has 18 members of the United States National Academy of Sciences (more than any other mathematics department in the U.S.) and five members of the National Academy of Engineering. Four faculty members have been awarded the National Medal of Science, one was honored with the Kyoto Prize, and nine have received career awards from the National Science Foundation.