Cornell’s Ph.D. in Mathematics offers a rigorous program for those passionate about exploring both pure and applied mathematics. The program allows students to engage in cutting-edge research across a variety of mathematical domains, from algebraic geometry to mathematical modeling and computational mathematics.
Advancements in Algebraic Geometry and Its Applications
Mathematical Modeling of Biological Systems and Disease Spread
Development of Algorithms for Solving Large-Scale Optimization Problems
Exploring the Applications of Number Theory in Cryptography
Mathematical Approaches to Machine Learning and Artificial Intelligence
Exploring the Geometry of High-Dimensional Data
Computational Techniques for Solving Partial Differential Equations
Mathematical Methods in Fluid Dynamics and Their Industrial Applications
Development of New Techniques in Topology and Their Applications
The Role of Probability and Statistics in Financial Mathematics
Mathematics of Complex Systems and Their Applications
Modeling and Simulation of Dynamical Systems
Investigating Mathematical Models in Climate Change Predictions
The Interaction of Geometry and Algebra in Modern Mathematical Research
Mathematical Analysis of Networks and Their Applications in Computer Science
Mathematical Physics: Quantum Mechanics and Relativity
Mathematics of Cryptography and Secure Communications
Exploring the Applications of Functional Analysis in Engineering
Applications of Nonlinear Dynamics and Chaos Theory in Real-World Systems
Mathematical Techniques for Improving the Efficiency of Computational Algorithms
Push the boundaries of mathematical research with Cornell’s Ph.D. program, specializing in algebra, geometry, applied mathematics, and computational techniques.
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