Address of Institute
Department of Mathematics, Faculty of Fundamental Sciences, Posts and Telecommunications Institute of Technology (PTIT), Km10 Nguyen Trai Road, Ha Dong District, Hanoi, VIETNAM
Academic degree
PhD in Mathematics
Current positions
Lecturer at Department of Mathematics, Faculty of Fundamental Sciences, Posts and Telecommunications Institute of Technology (PTIT).
Researcher at Laboratory of Applied Mathematics and Computing, PTIT.
Research field Mathematics
Areas of research
Polynomial Optimization
Singularity theory, Real Algebraic Geometry
Education and academic degrees
2022: Institute of Mathematics, Vietnam Academy of Sciences and Technology (VAST), Hanoi – PhD.
2011: Vietnam National University, Hanoi - M.Sc.
2006: Vietnam National University, Hanoi - B.Sc.
Employment
2013-now: Lecturer, Posts and Telecommunications Institute of Technology (PTIT), Hanoi, Vietnam.
2011-2012: Institute of Mathematics, VAST, Hanoi, Vietnam.
Honors and Awards
Outstanding Paper of National Mathematical Research Award, 2016.
Prize for Typical young faces of Vietnam National University, Hanoi, Vietnam, 2001.
3rd Prize, Mathematical Olympiad for pupils, Kon Tum, Vietnam, 2000.
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.
Visiting appointments
2016 Department of Mathematics, Ritsumeikan University, Kusatsu, Shiga, Japan.
2012 Abdus Salam School of Mathematical Sciences, Lahore, Punjab, Pakistan.
Publications
Journals
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
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.
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.
Hoang Phi Dung, Dissertation (Ph.D.): Łojasiewicz inequalities: the existence and computation of the exponents (Vietnamese), 2021.
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
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
Hoang Phi Dung, Dissertation (M.Sc.): Positive representation theorems (Positivstellensatz) and applications (Vietnamese), 2010.
Hoang Phi Dung, Dissertation (B.Sc.): Fewnomials (Vienamese), 2005.
Proceeding of Conferences
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.
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.
Talks
Conference Talks
International Conference on Singularities and Algebraic Geometry, Phu Yen, March 18-22, 2024, Link .
Vietnam Mathematical Congress, 10th, Da Nang, 8/2023.
Conference on Algebra-Geometry-Topology 2021, Thai Nguyen - Hanoi, Vietnam, October 21-23, 2021.
Singularity Theory and its Applications, Da Lat, Vietnam November 16-18, 2020.
Workshop on Optimization and Scientific Computing, BaVi, Hanoi, Vietnam, 4/2019.
Vietnam National Congress of Mathematician, Nha Trang, 2018.
Quantum Information Theory and Related Topics 2017, Duy Tan University, Da Nang, Vietnam, 8/2017.
Conference on Algebra – Geometry – Topology 2016, Buon Ma Thuot city, Vietnam, 10/2016.
Quantum Information Theory and Related Topics 2016, Ritsumeikan University, Kusatsu, Japan, 9/2016.
Quantum Information Theory and Related Topics 2015, Vietnam Institute for Advanced Study in Mathematics, Hanoi, Vietnam, 9/2015.
Workshop on Optimization and Scientific Computing, Ba Vi, Hanoi, Vietnam, 4/2014.
Seminar Talks
Christoffel function and Moment matrix, 03/2023. Link
A note on real algebraic sets, Hanoi Institute of Mathematics, 12/2022. Link
Łojasiewicz inequalities: The existence and computation of the exponents, Seminar of Derpartment of Geometry and Topology, Hanoi Institute of Mathematics, 3/2021.
On the stability of Global Holderian error bounds of polynomial functions, Seminar of Derpartment of Analysis, Hanoi University of Sciences - Vietnam National University, 10/2018.
Error bounds, Seminar of Laboratory of Applied Mathematics and Computing at PTIT, 10/2017.
Morse theory, Seminar of Derpartment of Geometry and Topology, Hanoi Institute of Mathematics, 3/2015.
Positivstellensatz of Putinar, Vietnam Institute for Advanced Study in Mathematics, 2012.
Teaching
2022 Fall, Linear algebra (for engineers), Advanced Engineering Mathematics, PTIT.
2022 Spring, Linear algebra (for economists), PTIT.
2021 Fall, Linear algebra (for engineers), Advanced Engineering Mathematics, PTIT.
2021 Spring, Linear algebra (for economists), PTIT.
2020 Fall, Linear algebra (for engineers), Advanced Engineering Mathematics, PTIT.
2020 Spring, Linear algebra (for economists), PTIT.
2019 Fall, Linear algebra (for engineers), Advanced Engineering Mathematics, PTIT.
2019 Spring, Linear algebra (for economists), PTIT.
2018 Fall, Linear algebra (for engineers), PTIT.
2018 Spring, Linear algebra (for economists), PTIT.
2017 Fall, Linear algebra (for engineers), PTIT.
2017 Spring, Linear algebra (for economists), PTIT.
2016 Fall, Linear algebra (for engineers), PTIT.
2016 Spring, Linear algebra (for economists), PTIT.
2015 Fall, Linear algebra (for engineers), PTIT.
2015 Spring, Linear algebra (for economists), PTIT.
2014 Fall, Linear algebra (for engineers), PTIT.
2014 Spring, Linear algebra (for economists), PTIT.
2013 Fall, Linear algebra (for engineers), Posts and Telecommunications Institute of Technology (PTIT).
2011 Fall, Calculus 1 (for engineers), VNU University of Engineering and Technology.