Ngo Viet Trung


Full Professor, Doctor of Science

Department of Algebra
Research interests:

Commutative Algebra and Interactions to Algebraic Geometry and Combinatorics


Address
Office: Building A6, Room 416
Tel: +84 (024 38361121 / 416
Email: nvtrung AT math.ac.vn

Honors

  • Hochiminh Prize in Science and Technology 2016 (shared with Professors  Nguyen Tu Cuong and Le Tuan Hoa)
  • Vietnam Talent in the Field of Natural Science (Area: Mathematics) 2009

 

PUBLICATIONS

List of publications in MathSciNet

List of recent publications
1Nguyen Dang Hop, Ngo Viet Trung, Depth functions of symbolic powers of homogeneous ideals, Inventiones mathematicae, 218 (2019), 779–827, SCI(-E), Scopus.
2Ha Minh Lam, Ngo Viet Trung, Associated primes of powers of edge ideals and ear decompositions of graphs, Transactions of the American Mathematical Society 372 (2019), 3211-3236 SCI(-E), Scopus.
3Giulio Cavigli, Ha Huy Tai, Jürgen Herzog, Manoj Kummini, Naoki Terai, Ngo Viet Trung, Depth and regularity modulo a principal ideal. Journal of Algebraic Combinatorics 49 (2019), no. 1, 1–20, SCI(-E), Scopus.
4Ha Huy Tai, Ngo Viet Trung, Membership Criteria and Containments of Powers of Monomial Ideals, Acta Mathematica Vietnamica, 44 (2019), pp 117–139, Scopus.
5Maria Evelina Rossi, Dinh Thanh Trung, Ngo Viet Trung, Castelnuovo-Mumford regularity and Ratliff-Rush closure. Journal of Algebra 504 (2018), 568-586, SCI(-E); Scopus.
6Gregor Kemper, Ngo Viet Trung, Nguyen Thi Van Anh, Toward a theory of monomial preorders, Mathematics of Computation 87 (2018), no. 313, 2513-2537, SCI(-E); Scopus.
7Ha Huy Tài, Ngo Viet Trung, Tran Nam Trung, Depth and regularity of powers of sums of ideals. Mathematische Zeitschrift 282 (2016), 819–838, SCI(-E); Scopus.
8Ha Thi Thu Hien, Ha Minh Lam, Ngo Viet Trung, Saturation and associated primes of powers of edge ideals, Journal of Algebra, 439 (2015), 225–244, SCI(-E); Scopus.
9Hong Ngoc Binh, Ngo Viet Trung, The Bhattacharya function of complete monomial ideals in two variables, Communications in Algebra, 43 (2015), 2875-2886, SCI(-E), Scopus.
10Naoki Terai, Ngo Viet Trung, On the associated primes and the depth of the second power of squarefree monomial ideals, Journal of Pure and Applied Algebra, 218 (2014), 1117–1129, SCI(-E); Scopus.
11Gregor Kemper, Ngo Viet Trung, Krull dimension and monomial orders, Journal of Algebra, 399(2014), 782–800, SCI(-E); Scopus.
12Ngo Viet Trung, Introduction to Commutative Algebra and Algebraic Geometry (in Vietnamese), Publishing House of Vietnam Academy of Science and Technology, Hanoi, 2012.
13Ngo Viet Trung, Naoki Terai, Cohen–Macaulayness of large powers of Stanley–Reisner ideals, Advances in Mathematics, 229 (2012), 711 -- 730, SCI(-E); Scopus.
14Ngo Viet Trung, T. M. Tuan, Equality of ordinary and symbolic powers of Stanley-Reisner ideals, Journal of Algebra,  328 (2011), 77 - 93, preprint arXiv:1009.0828, SCI(-E); Scopus.
15Ngo Viet Trung, N. C. Minh, Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals. Advances in Mathematics 226 (2011), 1285 - 1306, SCI(-E); Scopus.
16Ngo Viet Trung, J. K. Verma, Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications, Journal of Commutative Algebra, 2 (2010), 515 -- 565, SCI(-E); Scopus.
17Nguyen Cong Minh, Ngo Viet Trung, Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals, J. Algebra, 322 (2009), 4219-4227.
18J. Herzog, T. Hibi, Ngo Viet Trung, Vertex cover algebras of unimodular hypergraphs, Proc. Amer. Math. Soc., 137 (2009), 409-414, preprint arXiv:math/0703577.
19Juergen Herzog, Takayuki Hibi, Satoshi Murai, Xinxian Zheng, Ngo Viet Trung, Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs, Combinatorica 28 (2008), 315 - 323, preprint arXiv:math/0606477.
20Jürgen Herzog, Takayuki Hibi, Ngo Viet Trung, Xinxian Zheng, Standard graded vertex cover algebras, cycles and leaves, Trans. Amer. Math. Soc. 360 (2008), 6231 - 6249, preprint arXiv:math/0606357.
21Marc Chardin, Nguyen Cong Minh, Ngo Viet Trung, On the regularity of products and intersections of complete intersections, Proc. Amer. Math. Soc. 135 (2007),  1597 - 1606, preprint arXiv:math/0503157.
22Jürgen Herzoga, Takayuki Hibib, Ngo Viet Trung, Symbolic powers of monomial ideals and vertex cover algebras, Adv. Math. 210 (2007), 304 - 322.
23Ngo Viet Trung, Jugal Verma , Mixed multiplicities of ideals versus mixed volumes of polytopes, Trans. Amer. Math. Soc. 359 (2007), 4711 - 4727, preprint arXiv:math/0504178.
24Ngo Viet Trung, Castelnuovo-Mumford regularity and related invariants. In: Commutative algebra and combinatorics, 157 - 180, Ramanujan Math. Soc. Lect. Notes Ser. 4, Ramanujan Math. Soc., Mysore, 2007.
25Maria Evelina Rossi, Ngo Viet Trung, Giuseppe Val, Castelnuovo-Mumford regularity and finiteness of Hilbert functions, Commutative algebra, 193 - 209, 2006, preprint arXiv:math/0407398.
26Cao Huy Linh, Ngo Viet Trung, Uniform bounds in generalized Cohen-Macaulay rings, J. Algebra 304 (2006), 1147 - 1159, preprint arXiv:math/0606639.
27Ngo Viet Trung, Integral closures of monomial ideals and Fulkersonian hypergraphs, Vietnam J. Math. 34 (2006), 489 - 494.
28Ngo Viet Trung, Hsin-Ju Wang, On the asymptotic linearity of Castelnuovo-Mumford regularity, J. Pure Appl. Algebra 201 (2005), 42 - 48.
29Ngo Viet Trung, Galois Theory (in Vietnamese), National University Press, Hanoi, 2005.
30Craig Huneke, Ngo Viet Trung, On the core of ideals. Compos. Math. 141 (2005), 1 - 18.
31Ha Huy Tai, Ngo Viet Trung, Asymptotic behaviour of arithmetically Cohen-Macaulay blow-ups. Trans. Amer. Math. Soc. 357 (2005), 3655 - 3672.
32Nguyên Duc Hoang, Ngo Viet Trung, Hilbert polynomials of non-standard bigraded algebras, Math. Z. 245 (2003), 309 - 334. 4.
33Ngo Viet Trung, Constructive characterization of the reduction numbers, Compositio Math. 137 (2003), 99 - 113.
34Maria Evelina Rossi, Ngo Viet Trung, Giuseppe Valla, Castelnuovo-Mumford regularity and extended degree,  Trans. Amer. Math. Soc. 355 (2003), 1773 - 1786.
35Le Tuan Hoa, Ngo Viet Trung, Borel-fixed ideals and reduction number, J. Algebra 270 (2003), N0 1, 335 - 346.
36 J. Herzog, D. Popescu, Ngo Viet Trung, Regularity of Rees algebras. J. London Math. Soc. (2) 65 (2002), 320 - 338.
37Ngo Viet Trung, Evaluations of initial ideals and Castelnuovo-Mumford regularity. Proc. Amer. Math. Soc. 130 (2002), 1265 - 1274 (electronic).
38Ngo Viet Trung, W. Bruns and J. Gubeladze, Problems and algorithms for affine semigroups. Semigroup Forum 64 (2002), 180 - 212.
39Jürgen Herzog, Le Tuan Hoa, Ngo Viet Trung, Asymptotic linear bounds for the Castelnuovo-Mumford regularity, Trans. Amer. Math. Soc. 354 (2002),  1793 - 1809 (electronic).
40Ngo Viet Trung, Lectures on linear algebra (in Vietnamese) - Giáo trình đại số tuyến tính. NXB ĐHQG Hà Nội, 2001, 272 trang.
41Aldo Conca, Ngo Viet Trung, Giuseppe Valla, Koszul property for points in projective spaces, Math. Scand. 89 (2001), 201 - 216.
42Ngo Viet Trung, Positivity of mixed multiplicities, Math. Ann. 319 (2001), 33 - 63.
43Ngo Viet Trung, Groebner bases, local cohomology and reduction number. Proc. Amer. Math. Soc. 129 (2001), 9 - 18.
44Dam Van Nhi, Ngo Viet Trung, Specialization of modules over a local ring. Commutative algebra, homological algebra and representation theory (Catania/Genoa/Rome, 1998). J. Pure Appl. Algebra 152 (2000), N0 1-3, 275 - 288.
45Ngo Viet Trung, Castelnuovo-Mumford regularity and analytic deviation of ideals. J. London Math. Soc. (2) 62 (2000), 41 - 55.
46Ngo Viet Trung, The largest non-vanishing degree of graded local cohomology modules. J. Algebra 215 (1999), 481 - 499.
47S. Dale Cutkosky, Jürgen Herzog, Ngo Viet Trung, Asymptotic behaviour of Castelnuovo-Mumford regularity. Compositio Math. 118 (1999), 243 - 261.
48Dam Van Nhi, Ngo Viet Trung, Specialization of modules. Comm. Algebra 27 (1999), 2959 - 2978.
49Ngo Viet Trung, The Castelnuovo regularity of the Rees algebra and the associated graded ring. Trans. Amer. Math. Soc. 350 (1998), 2813 - 2832.
50A. Simis, Ngo Viet Trung, G. Valla, The diagonal subalgebras of a blow-up ring. J. Pure Appl. Algebra 125 (1998), 305 - 328.
51Le Tuan Hoa, Ngo Viet Trung, On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals. Math. Z. 229 (1998), 519 - 537.
52Aldo Conca, Giuseppe Valla, Jurgen Herzog, Ngo Viet Trung, Diagonal subalgebras and embbedings of blow-ups of projective spaces. Amer. J. Math. 119 (1997), 859 - 901.
53W. Bruns, J. Gubeladze, Ngo Viet Trung, Normal polytopes, triangulations and Koszul algebras. J. Reine Angew. Math. 485 (1997), 123 - 160.
54Ngo Viet Trung, On the lifting of determinantal ideals. Manuscripta Math. 91 (1996), 467 - 481.
55J. Aberbach, C. Huneke, Ngo Viet Trung, Reduction numbers, Briancon-Skoda theorem and the depth of Rees rings. Compositio Math. 97 (1995), 403 - 434.
56Ngo Viet Trung, G. Valla, Upper bounds for the regularity index of fat points with uniform position property. J. Algebra 176 (1995), 182 - 209.
57Bernd Sturmfels, Ngo Viet Trung, Wolfgang Vogel, Bounds on degrees of projective schemes. Math. Ann. 302 (1995), 417 - 432.
58Ngo Viet Trung, Giuseppe Valla, On zero-dimensional subschemes of complete intersections. Math. Z. 219 (1995), 187 - 201.
59Ngo Viet Trung, Manfred Herrmann, Eero Hyry, Jürgen Ribbe, On multi-Rees algebras. Math. Ann. 301 (1995), 249 - 279.
60Ngo Viet Trung, D.Q. Viet, S. Zarzuela, When is the Rees algebra Gorenstein?. J. Algebra 175 (1995), 137 - 156.
61Aron Simis, Ngo Viet Trung, Giuseppe Valla, Commutative algebra (ICTP, Trieste 1992). Eds.: A. Simis, N. V. Trung and G. Valla, World Scientific, 1994.
62Ngo Viet Trung, Reduction number, a-invariant, and Rees algebras of ideals having small analytic deviation, In: Commutative Algebra (ICTP, Trieste 1992), World Scientific, 1994, 245 - 262.
63Ngo Viet Trung, An algebraic approach to the regularity index of fat points in ${\bf P}^n$. Kodai Math. J. 17 (1994), 382 - 389.
64Jürgen Herzog, Giuseppe Valla, Ngo Viet Trung, On hyperplane sections of reduced irreducible varieties of low codimension. J. Math. Kyoto Univ. 34 (1994), 47 - 72.
65 M. V. Catalisano, Ngo Viet Trung, G. Valla, A sharp bound for the regularity index of fat points in general position. Proc. Amer. Math. Soc. (1993), 717 - 724.
66Ngo Viet Trung, Filter-regular sequences and multiplicity of blow-up rings of ideals of the principal class. J. Math. Kyoto Univ. 33 (1993), 665 - 683.
67 Manfred Herrmann, Ngo Viet Trung, Examples of Buchsbaum quasi-Gorenstein rings. Proc. Amer. Math. Soc. 117 (1993), 619 - 625.
68Ngo Viet Trung, Duong Quôc Viêt, On the Cohen-Macaulay and Gorenstein property of Rees algebras of non-singular equimultiple prime ideals. Manus. Math. 76 (1992), 147 - 167.
69Jürgen Herzog, Ngo Viet Trung, Bernd Ulrich, On the multiplicity of Rees algebras and associated graded rings of d-sequences. J. Pure Appl. Algebra 80 (1992), 273 - 297.
70Jürgen Herzog, Ngo Viet Trung, Grobner bases and multiplicity of determinantal and Pfaffian ideals. Advances in Math. 96 (1992), 1 - 37.
71M. Herrmann, J. Ribbe, Ngo Viet Trung, Rees algebras of non-singular equimultiple prime ideals. Nagoya Math. J. 124 (1991), 1 - 12.
72Winfried Bruns, Aron Simis, Ngo Viet Trung, Blow-ups of straightening closed ideals in ordinal Hodge algebras. Trans. Amer. Math. Soc. 326 (1991), 509 - 518.
73M. Herrmann, J. Ribbe, Ngo Viet Trung, S. Zarzuela, Bounds for the multiplicity of almost complete intersections. Manus. Math. 72 (1991), 275 - 296.
74Ngo Viet Trung, On the presentation of Hodge algebras and the existence of Hodge algebra structures. Comm. Algebra 19 (1991), 1183 - 1195.
75 M. Morales, Ngo Viet Trung, O. Villamayor, Sur la fonction de Hilbert-Samuel des clôtures intégrales des puissances d'idéaux engendrés par un système de paramètres. J. Algebra 129 (1990), 96 - 102.
76Ngo Viet Trung, Giuseppe Valla, The Cohen-Macaulay type of points in generic position. J. Algebra 125 (1989), 110 - 119.
77Ngo Viet Trung, Shin Ikeda, When is the Rees algebra Cohen-Macaulay? Comm. Algebra 17 (12) (1989), 2893 - 2922.
78Ngo Viet Trung, Giuseppe Valla, Degree bounds for the defining equations of arithmetically Cohen-Macaulay varieties. Math. Ann. 281 (1988), 479 - 491.
79A. Simis, Ngo Viet Trung, The divisor class group of ordinary and symbolic blow-ups. Math. Zeits. 198 (1988), 479 - 491.
80Ngo Viet Trung, G. Valla, On degree bounds for the defining equations of arithmetically Cohen-Macaulay and Buchsbaum varieties. Acta Math. Vietnam. 12 (1987), 113 - 122.
81Ngo Viet Trung, Reduction exponent and degree bounds for the defining equations of graded rings. Proc. Amer. Math. Soc. 101 (1987), 229 - 236.
82Ngo Viet Trung, Towards a theory of generalized Cohen-Macaulay modules. Nagoya Math. J. 102 (1986), 1 - 49.
83Ngo Viet Trung, Le Tuan Hoa, Affine semigroups and Cohen-Macaulay rings generated by monomials. Trans. Amer. Math. Soc. 298 (1986), 145 - 167.
84Ngo Viet Trung, Maximum number of independent elements and dimension of prime divisors in completions of local rings. J. Algebra 93 (1985), 418 - 438.
85Ngo Viet Trung, Projections of one-dimensional Veronese varieties. Math. Nachr. 118 (1984), 47 - 67.
86Ngo Viet Trung, Degree bounds for the defining equations of projective monomial curves. Acta Math. Vietnam. 9 (1984), 157 - 163.
87Ngo Viet Trung, From associated graded modules to blowing-ups of generalized Cohen-Macaulay modules. J. Math. Kyoto Univ. 24 (1984), 611 - 622.
88Ngo Viet Trung, Bounds for the minimum number of generators of generalized Cohen-Macaulay ideals, J. Algebra 90 (1984), 1 - 9.
89Ngo Viet Trung, On tensor products of extensions of a field. Quart. J. Math. 35 (1984), 337 - 339.
90Ngo Viet Trung, Absolutely superficial sequence. Math. Proc. Cambridge Phil. Soc. 93 (1983), 35 - 47.
91Ngo Viet Trung, On certain transitivity of the graded ring associated with an ideal. Proc. Amer. Math. Soc. 85 (1982), 489 - 495.
92Ngo Viet Trung, Standard systems of parameters of generalized Cohen-Macaulay modules, In: Proceedings of the 4th Symposium on Commutative Algebra in Japan, Karuizawa, 1982, 164 - 180.
93Ngo Viet Trung, On the associated graded ring of a Buchsbaum ring, Math. Nachr. 107 (1982), 209 - 220.
94Ngo Viet Trung, Classification of the double projections of Veronese varieties. J. Math. Kyoto Univ. 22 (1982), 567 - 581.
95Ngo Viet Trung, Principal systems of ideals. Acta Math. Vietnam. 6 (1981), 57 - 63.
96Ngo Viet Trung, A characterization of two dimensional unmixed local domains. Math. Proc. Camb. Phil. Soc. 89 (1981), 237 - 239.
97Ngo Viet Trung, A class of imperfect prime ideals having the equality of ordinary and symbolic powers. J. Math. Kyoto Univ. 21 (1981), 239 - 250.
98Ngo Viet Trung, Der graduierte Ring bezuglich des Primideals von Macaulay. Beitr. Algebra Geometrie 11 (1981), 35 - 40.
99Nguyen Tu Cuong, Ngo Viet Trung, Uber schwache Sequenzen. Period. Math. Hungar. 11 (1981), 77 - 80.
100Ngo Viet Trung, Some criteria for Buchsbaum modules. Monatsh. Math. 90 (1980), 331 - 337.
101Ngo Viet Trung, Spezialisierungen allgemeiner Hyperflọchenschnitte und Anwendungen, In: Seminar D. Eisenbud - B. Singh - W. Vogel, Vol. I, Teubner-Verlag, Leipzig, 1980, 4 - 43.
102Ngo Viet Trung, Über allgemeine Hyperflächenschnitte einer algebraischen Varietät. Monatsh. Math. 89 (1980), 323 - 340.
103Ngo Viet Trung, On the symbolic powers of determinantal ideals, J. Algebra 58 (1979), 361 - 369.
104Ngo Viet Trung, Uber die ubertragung der Ringeigenschaften zwischen R und R[u]/(F). Math. Nachr. 92 (1979), 215 - 229.
105Peter Schenzel, Ngo Viet Trung, Nguyen Tu Cuong, Uber verallgemeinerte Cohen- Macaulay Moduln. Math. Nachr. 85 (1978),  57 - 73.