Research

I work in mathematical areas: Polynomial Optimization, Real Algebraic Geometry and Singularity theory. You can see my works on ResearchGate, Google scholar and Mathscinet.

Publications and Preprints

Publications

1. Trang T. T. Du, Toan Minh Ho & Phi-Dung Hoang. Representation of positive polynomials on a generalized strip and its application to polynomial optimization. Optimization Letters (2024). https://doi.org/10.1007/s11590-023-02087-5.

2. Hoang Phi Dung, A remark on global holderian error bounds for differentiable semi-algebraic functions, Hanoi Pedagogical University 2, Journal of Science: Natural Sciences and Technology, 1 (1), 2022, 10-15.

3. Hoang Phi Dung, Dissertation (Ph.D.): Łojasiewicz inequalities: the existence and computation of the exponents (Vietnamese), 2021.

4. Hong-Duc Nguyen, Tien-Son Pham, Phi-Dung Hoang Topological invariants of plane curve singularities: Polar quotients and Lojasiewicz gradient exponents, International Journal of Mathematics, Vol. 30, issue 14 (2019), 19 pages.

5. Phi Dung Hoang, Lojasiewicz-type inequalities for nonsmooth definable functions in o-minimal structures and global error bounds, Bulletin of the Australian Mathematical Society, Vol. 93, no.1 (2016), 99-112.

6. Hoang Phi Dung, Dissertation (M.Sc.): Positive representation theorems (Positivstellensatz) and applications (Vietnamese), 2010.

7. Hoang Phi Dung, Dissertation (B.Sc.): Fewnomials (Vienamese), 2005.

Preprints

1. (with Ha Huy Vui) Bifurcation values at infinity and stability of global Lojasiewicz inequality of polynomials in real variables.

2. (with Ha Huy Vui) Fedoryuk values and stability of global H\"{o} lderian error bounds for polynomial functions, arXiv:1902.05972, 2019.

3. A remark on the extension of a class of linear functionals, arXiv:1605.00368v2.