Algebraic number theory explores the arithmetic of algebraic numbers, emphasising both theoretical structures and computational strategies that enable explicit determination of key invariants. At its ...

Diophantine equations stand at the interface of algebra, geometry and arithmetic, seeking integer or rational solutions to polynomial equations. Classical problems such as Pythagorean triples and ...

Theory, computation, and simulation are foundational to modern energy research. Theoretical understanding reveals why materials and systems behave as they do, predicting performance before experiments ...

I am a Ph.D. graduate of Emory University (2018), having worked under the supervision of Ken Ono. My research interests lie primarily in number theory and combinatorics, in particular the theory of ...