At Cornell, we use sophisticated mathematics of probability theory, quantum theory, nonlinear dynamics and bifurcation theory, and differential geometry to wide-ranging problems of interest to physics and complex systems. These techniques have been central to our understanding of the synchronization of fireflies, infectious disease dynamics in complex populations, algorithms for 3D X-ray imaging of cellular structures, categorization of topological quantum materials, and the effectiveness of simple models in describing our complex world.<br>The range of possibilities for graduate study encompasses the areas of specialization of all of the faculty members in the field, who current number more than eighty. The faculty members are drawn from fourteen departments in the College of Engineering, the College of Arts and Sciences, the College of Agriculture and Life Sciences and the Samuel Curtis Johnson Graduate School of Management. There is opportunity for further diversification on the choice of minor subjects. Graduate students are admitted to the Field of Applied Mathematics from a variety of educational backgrounds that have a strong mathematics component. Generally, only students who wish to become candidates for the Doctor of Philosophy Degree are considered. About forty students are enrolled in the program, which usually requires four to five years to complete.