Research

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

Publications and Preprints

Publications

                Journals

1. Pham Ngoc Anh, Ho Phi Tu and Hoang Phi Dung, Inertial subgradient projection techniques for solving a class of bilevel equilibrium problems, Optimization, Vol. 74, Issue 10 (2025), 2499-2532 (SCIE-Q2)..

https://doi.org/10.1080/02331934.2024.2354458 

2. 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, Vol. 18, Issue 7 (2024), 1727-1746 (SCIE-Q2). https://doi.org/10.1007/s11590-023-02087-5.

3. 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.

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

5. 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 (SCIE-Q1). https://doi.org/10.1142/S0129167X19500733 

6. 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 (SCIE-Q2). https://doi.org/10.1017/S0004972715000726 

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

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

              Proceeding of Conferences

1. Hoàng Phi Dũng, Trần Văn Khánh, Tối ưu hoá sự lây nhiễm trong mô hình lan truyền thông tin D-SIR trên mạng phức hợp, Kỷ yếu Hội thảo Khoa học Quốc gia “Khoa học tự nhiên và Ứng dụng trong thời đại số” – NSA 2025, Nhà xuất bản Khoa học và kỹ thuật (2025), 214-223. ISBN: 978-604-67-3330-0.

2. Hoàng Phi Dũng, Định lý Putinar và ứng dụng giải bài toán tối ưu đa thức, Kỷ yếu Hội thảo Khoa học Quốc gia “Khoa học tự nhiên và Ứng dụng trong thời đại số” – NSA 2024, Nhà xuất bản Khoa học và kỹ thuật (2024), 112-119. ISBN: 978-604-67-2946-4.

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.

Grants

• 2025-2028: NAFOSTED, Grant number 101.04-2024.09. 

Head: Assoc. Prof. Le Quy Thuong.

Name: Non-Archimedean geometry, Singularity theory and applications.

• 2019-2022         NAFOSTED, Grant number 101.04-2019.302. 

Head: Prof. Pham Tien Son.

Name: Some properties of semi-algebraic maps and applications.

• 2016-2019         NAFOSTED, Grant number 101.04-2016.05. 

Head: Prof. Pham Tien Son.

Name: Some properties of polynomial mappings and applications.

• 2013-2016         NAFOSTED, Grant number 101.04-2013.07. 

Head: Prof. Pham Tien Son.

Name: Polynomials, representations of positive polynomials, the Moment problem and their applications.