ASCEND
BY NTHRYS

NTHRYS › PhD Assistance › Pure Mathematics

Pure Mathematics

Field
▾
Category
▾

Pure Mathematics

Select a category to explore research frontiers

Loading categories...

Research Frontiers in Arithmetic Geometry and Diophantine Equations

Study of integer and rational solutions to polynomial equations using geometric methods and tools from algebraic number theory.

Unlikely Intersections and Heights in Arithmetic Varieties
Rational Points on Higher Genus Curves Beyond Modularity
Dynamics of Rational Maps and Arithmetical Stability
Integral Points and Effective Bounds in Diophantine Geometry
Arithmetic of Abelian Varieties and Torsion Phenomena
p-adic Methods and Non-archimedean Analytic Geometry
Descent Theory and Obstructions to Rational Solutions
Arithmetic Intersections and Heights on Arithmetic Surfaces
Transcendence and Algebraic Independence in Diophantine Problems
Fano Varieties and Del Pezzo Surfaces: Rationality Questions

All Pure Mathematics PhD categories