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:

Questions about number fields

• Minkowski shapes of pure number fields. (pdf)

• Squarefreeness and common prime-divisor statistics for radical index ideals. (pdf)

• Eisenstein-prime Obstruction Sieve for Monogenicity. (pdf)

• 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) Accepted at Research in Number Theory

Lifting questions

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

Reduction questions

• On the sequence gcd(a^n-1,b^n-1). (pdf)

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

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

Uniformization of abelian varieties

• 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:

(Mixed) Volumes

• A Laplace–Grassmannian representation for intrinsic volumes and applications. (with Lê Minh Trí). (pdf)

Newton polytopes

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

L-function/zeta function:

• Admissibility of Hörmander--Bernhardsson extremal zeros. (pdf)

• Legendre compressions and an integrality conjecture for the Hörmander--Bernhardsson extremal function. (pdf)

Other formal writings:

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

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