I enjoy exploring mathematics with friends and engaging in discussions with everyone. My primary interests lie in number theory and geometry, where I employ diverse approaches to tackle intriguing problems. 

The pfd files could be (very) different from the published version.

Number theory/arithmetic geometry:

• α-monogeneity of pure number fields: criterion and density (with Nguyen Thai Hung). (pdf)

• The minimal periodicity for integral bases of pure number fields. (pdf)

• Kummer-Artin-Schreier-Witt Theory (with Huy Dang). (pdf)

• Motivic Zeta Function for Log Hilbert Schemes (with Suraj Dash). (in progress)  

• Remarks on a  Silverman Theorem (with Quang Khai Nguyen). (pdf)

• On P-adic Uniformization of Abelian Varieties with Semi-stable Reduction. (pdf)

• Detecting Linear Problem for Abelian Varieties and Tori over Finitely Generated Fields (with Quang Khai Nguyen). (pdf)

• Galois Action on Tate module of Abelian Varieties. (pdf) Journal of Number Theory 

• PhD Thesis: On P-adic Uniformization Of Abelian Varieties.

Convex geometry/convex analysis:

• Computing intrinsic volumes of sublevel sets and applications (with Lê Minh Trí). (pdf)

• Supersymmetric Schur polynomials have saturated Newton polytopes (with Hiep Dang). (pdf)

• Matroids and (k,l)-hook polytopes. (in progress)

Other formal writings:

• Contemporary Buddhist Movements: Efforts Toward a Harmonious, Peaceful, and Sustainable World. (pdf in Vietnamese) (Published in the Vesak 2025 Proceedings) 

• Synergizing Human Insight and AI Precision: The Formalized Knowledge Graph Framework. (pdf)

• On uniformizations of abelian varieties and applications. (pdf) To appear AMC 2025 Proceedings.