PhD in Applied Mathematics - Discrete Mathematics and Combinatorics in Ithaca United States | Cornell University

Graduate study options cover all specialization areas represented by over one hundred faculty members across multiple disciplines. These professors come from fourteen departments spanning the College of Engineering, College of Arts and Sciences, College of Agriculture and Life Sciences, and the Samuel Curtis Johnson Graduate School of Management. Students can further broaden their education through minor subject selections. The Applied Mathematics program admits graduate students with diverse academic backgrounds featuring strong mathematical foundations, typically accepting only PhD candidates. Approximately forty students participate in this four-to-five year program.

Discrete mathematics represents a major branch of applied mathematics focused on counting and manipulating finite collections of objects. This field intersects with numerous mathematical disciplines like geometry, algebra, and analysis, while finding practical uses in code design, circuit development, computational modeling, navigation algorithms, and social media marketing strategies. CAM researchers explore diverse topics including online system incentives, efficient algorithms for complex optimization challenges, network data transmission methods, and urban bike-sharing system design and implementation.