Math Thesis Topics

List of 27 Math Thesis Topics

1. A look at the life of Euclid
2. An in depth study into analytic number theory
3. Characterize which complete local rings are the completion of an excellent unique factorization domain.
4. Compute the tight closures of specific ideals in rings.
5. Continued Fractions and the used of the approximation of irrationals by rational numbers
6. Continuous or hybrid dynamical systems.
7. Determine which complete local rings are the completion of a catenary integral domain.
8. Determine which complete local rings are the completion of a catenary unique factorization domain.
9. Developing mathematical models to manage vector-borne diseases through vector control
10. Evolutionary dynamics.

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11. Exact methods for categorical data
12. Explore the relationship between the formal fibers of R and S where S is a flat extension of R.
13. For which ideals in excellent rings does tight closure and completion commute?
14. Game Theory.
15. How random are random number generators?
16. How the human mind sees number patterns when they don’t exist?
17. Mathematical modeling of invasive species
18. Mathematical modeling of vector-borne or directly transmitted diseases
19. Mathematical modelling using dynamical systems and differential equations.
20. Optimal control theory.
21. Other relevant topics of interest in mathematical biology
22. Simultaneous Inference and Multiple Comparisons
23. The applications of representation theory outside of mathematics
24. The different approaches that mathematicians have used when looking at Waring’s Problem
25. The history of mathematics
26. The implication of the theory of quadratic forms
27. The use of reliability theory in the real world