Ohio State’s PhD in Mathematics offers advanced study across algebra, analysis, geometry, logic, topology, and applied math. Students engage in original research while mastering mathematical theory, proof techniques, and quantitative reasoning. With a strong academic community and interdisciplinary collaborations, the program prepares students for careers in academia, tech, finance, and data science.
Classification of simple groups using representation-theoretic techniques
Homological algebra applications in topological data analysis
Probabilistic number theory approaches to twin prime conjecture subsets
Mathematical modeling of disease dynamics using delay differential equations
Optimal transport theory and its applications in economic modeling
Fixed point theorems and their applications in nonlinear PDEs
Knot theory invariants in low-dimensional topology
Algebraic geometry methods in cryptographic curve analysis
Modeling of neural networks using dynamical systems theory
Computational complexity analysis of sorting algorithms using combinatorics
Game-theoretic modeling of cooperative behavior in ecological systems
Logic and decidability in formal language theory and automata
Numerical simulation of fluid dynamics in rotating coordinate systems
Stochastic processes in financial derivatives pricing models
Ergodic theory applications in chaotic dynamical systems
Graph theory optimization in network flow problems
Fractal dimension computation in iterative geometric constructions
Using category theory to unify mathematical structures in algebra and topology
Investigation of convergence properties in infinite-dimensional Banach spaces
Matrix analysis in control theory for feedback system design
Advance mathematical frontiers through OSU’s PhD in pure and applied mathematics.
Whether it's Machine Learning, Data Science, or Web Development, Collexa is here to support your academic journey.
"Collexa transformed my academic experience with their expert support and guidance."
Computer Science Student
Reach out to us for personalized academic assistance and take the next step towards success.
