Dinh Si Tiep
Doctor

Department of Geometry and Topology
Research interests: Real algebraic ang analytic geometry


Address
Office: Building A5, Room 103
Tel: +84 (02)4 37563474 /103
Email: dstiep AT math.ac.vn

Born in Dalat in 1981

Education and academic degrees:

  • Bachelor/Master: 2003
  • PhD: 2007

 

PUBLICATIONS

List of publications in MathSciNet

 

List of recent publications
1Dinh Si Tiep, Nguyen Xuan Viet Nhan, Lipschitz continuity of Lipschitz-Killing curvature densities at infinity, Selecta Mathematica, Volume 31, article number 35, (2025), (SCI-E, Scopus).
2Dinh Si Tiep, Feng Guo, Hồng Đức Nguyễn, Tiến-Sơn Phạm, Computation of the Łojasiewicz exponents of real bivariate analytic functions, Manuscripta Mathematica . Volume 176, 1 (2025), (SCI-E, Scopus).
3Dinh Si Tiep, Feng Guo, Hồng Đức Nguyễn, Tiến-Sơn Phạm, Limits of real bivariate rational functions, Journal of Symbolic Computation Volume 129, 2025, 102405, (SCI-E, Scopus).
4Dinh Si Tiep, Phạm Tiến Sơn, Characterizations of directional openness for set-valued mappings, Pure Appl. Funct. Anal., 8 (2023), no. 4, 1023-1037.
5Dinh Si Tiep, Phạm, Tiến-Sơn, Definable continuous mappings and Whyburn's conjecture, Proceedings of the American Mathematical Society 151 (2023), no. 5, 2081--2095 (SCI-E, Scopus).
6Dinh Si Tiep, Phạm, Tiến-Sơn, Lipschitz continuity of tangent directions at infinity, Bulletin des Sciences Mathématiques, 182 (2023), 103223, (SCI-E, Scopus).
7Dinh Si Tiep, Zbigniew Jelonek, Tiến Sơn Phạm, Stability of closedness of semi-algebraic sets under continuous semi-algebraic mappings, Proceedings of the American Mathematical Society, 150 (2022), 3663-3673, (SCI-E, Scopus).
8Dinh Si Tiep, Phạm Tiến Sơn, Stability of Closedness of Closed Convex Sets under Linear Mappings, Journal of Convex Analysis, 28 (2021), 1281-1291, (SCI-E, Scopus).
9Dinh Si Tiep, Guo Feng; Phạm Tiến Sơn, Global Łojasiewicz inequalities on comparing the rate of growth of polynomial functions, Journal of Mathematical Analysis and Applications, 499 (2021), 125057, (SCI-E, Scopus, Preprint: download here).
10Dinh Si Tiep, Zbigniew Jelonek, Thom Isotopy Theorem for Nonproper Maps and Computation of Sets of Stratified Generalized Critical Values, Discrete & Computational Geometry volume 65, pages 279–304 (2021), (SCI-E, Scopus, Preprint: download here).
11Dinh Si Tiep, Krzysztof Kurdyka, Tiến-So’n Phạm , Global mixed Łojasiewicz inequalities and asymptotic critical values, Annales Polonici Mathematici, 123 (2019), 259–266, SCI(-E), Scopus.
12Dinh Si Tiep, Ha Huy Vui, Pham Tien Son, Hölder-Type Global Error Bounds for Non-degenerate Polynomial Systems, Acta Mathematica Vietnamica, 42 (2017), 563–585,Scopus.
13Dinh Si Tiep, Pham Tien Son, Łojasiewicz inequalities with explicit exponents for smallest singular value functions, Journal of Complexity, 41 (2017), 58-71, SCI(-E); Scopus.
14Dinh Si Tiep, Pham Tien Son, Łojasiewicz-type inequalities with explicit exponents for the largest eigenvalue function of real symmetric polynomial matrices, International Journal of Mathematics, 27 (2016), 27 page, SCI(-E); Scopus.
15Dinh Si Tiep, Krzysztof Kurdyka, Krzysztof Kurdyka, Horizontal Gradient of Polynomial Functions for the Standard Engel Structure on $\mathbb R^4$, Journal of Dynamical and Control Systems, 22(2016), 15-34, SCI(-E); Scopus.
16Dinh Si Tiep, Ha Huy Vui, Pham Tien Son, A Frank–Wolfe type theorem for nondegenerate polynomial programs, Mathematical Programming, 147(2014), 519-538, SCI(-E), Scopus.
17Dinh Si Tiep, Ha Huy Vui, Tiến Sơn Phạm, Nguyễn Thị Tha̓o, Global Łojasiewicz-type inequality for non-degenerate polynomial maps, Journal of Mathematical Analysis and Applications 410 (2014), 541–560, SCI(-E); Scopus.
18Dinh Si Tiep, Kurdyka, Krzysztof; Le Gal, Olivier, Łojasiewicz inequality on non-compact domains and singularities at infinity, International Journal of Mathematics 24 (2013), 1350079, 8 pp,SCI(-E); Scopus.
19Dinh Si Tiep, Ha Huy Vui, Nguyen Thi Thao, Lojasiewicz inequality for polynomial functions on non-compact domains,  International Journal of Mathematics, 23 (2012), 28p, SCI(-E); Scopus.
20Dinh Si Tiep, K. Kurdyka and P. Orro, Gradient horizontal de fonctions polynomiales, Annales de l'Institut Fourier, 59 (2009),1999-2042.
Preprints
1IMH20210502, Dinh Si Tiep, Pham Tien Son, Nichtnegativstellensatze for definable functions in o-minimal structures, preprint arXiv.
2IMH20210501, Dinh Si Tiep, Pham Tien Son, The mountain pass theorem in terms of tangencies, preprint arxiv.
3IMH20201001, Dinh Si Tiep, Olivier Le Gal, Phạm Tiến Sơn, Limits of tangent spaces to definable sets.