Le Tuan Hoa
Full Professor, Doctor of Science

Department of Algebra
Research interests:

Commutative Algebra, Algebraic Geometry and Combinatorics

Address
Office: Building A6, Room 412
Tel: +84 24 38361121 / 412
Email: lthoa AT math.ac.vn

Born in Thanh Hoa, Vietnam in 1957

Education and academic degrees:

  • 2004: Full Professor
  • 1996: Associate Professor
  • 1995: Doctor of Science, Institute of Mathematics, VAST, Hanoi
  • 1990: Ph.D., University of Halle, Germany
  • 1980: B.Sc., Belarusian State University, Belarus


Positions:

  • Chair of Section Mathematics of The State Council for Professorship, since 2018
  • Member of The IMU’s Commission for Developing Countries (CDC), 2023 - 2026
  • Council member of The World Academy of Sciences (TWAS), 2023 - 2026
  • Editor in Chief of Vietnam Journal of Mathematics, since 2023
  • Director of Institute of Mathematics Hanoi (IMH): 2013-2017
  • Deputy-Director of Institute of Mathematics Hanoi (IMH): 2008-2011
  • Managing Director of the Vietnam Institute of Advanced Study in Mathematics (VIASM): from June 2011 to October 2013
  • Vice-President, General secretary of the Vietnam Mathematical Society (VMS): 2004-2008
  • President of the Vietnam Mathematical Society (VMS): 2008-2013
  • President of the South East Asian Mathematical Society (SEAMS): 2012-2013
  • Fellow of the Third Word Academy of Sciences, since November 2011


Honors

  • Hochiminh Prize in Science and Technology 2016 (shared with Professors Ngo Viet Trung and Nguyen Tu Cuong)


PUBLICATIONS


List of publications in MathSciNet 

 

List of recent publications
1Le Xuan Dung, Juan Elias, Le Tuan Hoa, Upper bounds on two Hilbert coefficients, Journal of Algebra, Volume 633, 1 November 2023, Pages 563-590, (SCI-E, Scopus).
2Le Tuan Hoa, Asymptotic behavior of integer programming and the stability of the Castelnuovo–Mumford regularity, Mathematical Programming, volume 193 (2022), pages 157–194, (SCI-E, Scopus).
3Le Tuan Hoa, Maximal Generating Degrees of Powers of Homogeneous Ideals, Acta Mathematica Vietnamica, 47 (2022), pages 19–37, (Scopus).
4Le Tuan Hoa, Powers of Monomial Ideals and Combinatorics, In “New Trends in Algebras and Combinatorics, Proceedings of the 3rd International Congress in Algebras and Combinatorics (ICAC2017)} (2020), 149-178.
5Le Tuan Hoa, The Development of Mathematical Research in Vietnam at a Glance, Mathematical Intelligencer 42 No. 4 (2020), 50-58. (SCI-E, Scopus).
6Le Xuan Dung, Le Tuan Hoa, A note on Castelnuovo–Mumford regularity and Hilbert coefficients, Journal of Algebra and Its Applications, 18 (2019) 1950191 SCI(-E); Scopus
7Le Tuan Hoa, Tran Nam Trung, Stability of Depth and Cohen-Macaulayness of Integral Closures of Powers of Monomial Ideals, Acta Mathematica Vietnamica, 43 (2018), 67–81, Scopus.
8Le Xuan Dung, Le Tuan Hoa, Erratum to: Dependence of Hilbert coefficients, Manuscripta Mathematica, 54 (2017), 551–552.
9Le Tuan Hoa, Kyouko Kimura, Naoki Terai, Tran Nam Trung, Stability of depths of symbolic powers of Stanley-Reisner ideals. Journal of Algebra 473 (2017), 307–323, SCI(-E); Scopus.
10Le Tuan Hoa, Tran Nam Trung, Castelnuovo-Mumford regularity of symbolic powers of two-dimensional square-free monomial ideals, Journal of Commutative Algebra, 8 (2016), 77-88, SCI(-E); Scopus.
11Le Xuan Dung, Le Tuan Hoa, Dependence of Hilbert coefficients, Manuscripta Mathematica, 149 (2016), 235-249,(SCI-E); Scopus.
12Le Tuan Hoa, M. Morales, Non-linear behaviour of Castelnuovo-Mumford regularity, J. Algebra 356 (2012), 207-215.
13Le Tuan Hoa, L.X. Dung, Castelnuovo-Mumford regularity of associated graded modules and fiber cones of filtered modules, Comm. Algebra, 40 (2012), 404-422, preprint  arXiv:1103.3455
14Le Tuan Hoa, Chardin and D.T. Ha, Castelnuovo-Mumford regularity of Ext modules and homological degree, Transactions of the American Mathematical Society 363 (2011), 3439-3456, preprint arXiv:0903.4535, SCI(-E); Scopus.
15Le Tuan Hoa, Do Hoang Giang, On local cohomology of a tetrahedral curve, Acta Math. Vietnamica, 35 (2010), 229 -- 241, Scopus.
16Le Tuan Hoa, Nguyen Duc Tam, On some invariants of a mixed product of ideals, Archiv der Mathematik, 94 (2010), 327 -- 337, SCI(-E); Scopus.
17Le Tuan Hoa, Tran Nam Trung, Partial Castelnuovo-Mumford regularities reduction number of sums and intersections of monomial ideals, Mathematical Proceedings of the Cambridge Philosophical Society, 149 (2010), 229 -- 246, SCI(-E); Scopus.
18Le Tuan Hoa, M. Hellus and J. Stueckrad, Castelnuovo-Mum-ford regularity and reduction number of some monomial curves, Proceedings of the American Mathematical Society, 138 (2010), 27 -- 35, SCI(-E); Scopus.
19Le Tuan Hoa, M. Hellus and J. Stueckrad, Gr\"obner bases of simplicial toric ideals, Nagoya Math. J., 196 (2009), 67-85, preprint arXiv:0910.0583.
20Le Tuan Hoa, Tran Nam Trung, Castelnuovo-Mumford regularity of sums of powers of polynomial ideals, Comm. Algebra 36 (2008), 806 - 820.
21Dao Thanh Ha, Le Tuan Hoa, Castelnuovo-Mumford regularity of some modules, Comm. Algebra 36 (2008), 992 - 1004.
22Le Tuan Hoa, Finiteness of Hilbert functions and bounds for Castelnuovo-Mumford regularity of initial ideals, Trans. Amer. Math. Soc. 360 (2008),  N0 9, 4519 - 4540, preprint arXiv:math/0608118.
23Le Tuan Hoa, Đại số tuyến tính qua các ví dụ và bài tập, NXB ĐHQG 2006, 448 tr. Linear Algebra: examples and problems, in Vietnamese.
24Le Tuan Hoa, Eero Hyry, Castelnuovo-Mumford regularity of canonical and deficiency modules, J. Algebra 305 (2006), 877 - 900,  preprint
arXiv:math/0605122.
25Le Tuan Hoa, Stability of associated primes of monomial ideals, Vietnam J. Math. 34 (2006), 473 - 487.
26Le Tuan Hoa, Some computational problems in Commutative Algebra and Algebraic Geometry, In: Proceedings of VI-th Vietnamese Mathematical Conference (Eds. H.H. Khoai, D.T. Thi and D.L. Van), VNU 2005, pp. 33 - 58.
27Le Tuan Hoa, Eero Hyry, Castelnuovo–Mumford regularity of initial ideals, J. Symb. Computation, 38 (2004), 1327 - 1341.
28Henrik Bresinsky, Le Tuan Hoa, The k-Buchsbaum property for some polynomial ideals, J. Math. Kyoto Univ. 43 (2004), 699 - 717.
29Le Tuan Hoa, Computer Algebra: Groebner bases (in Vietnamese) - Đại số máy tính: Cơ sở Groebner. NXB ĐHQG 2003, 290 trang.
30Le Tuan Hoa, Ngo Viet Trung, Borel-fixed ideals and reduction number, J. Algebra 270 (2003), N0 1, 335 - 346.
31Le Tuan Hoa, Eero Hyry, On local cohomology and Hilbert function of powers of ideals, Manuscripta Math. 112 (2003), 77 - 92.
32Le Tuan Hoa, Jürgen Stückrad, Castelnuovo-Mumford regularity of simplicial toric rings, J. Algebra 259 (2003), 127 - 146.
33Le Tuan Hoa, Asymptotic behavior of reduction numbers, Proc. Amer. Math. Soc. 130 (2002), 3151 - 3158.
34Jürgen Herzog, Le Tuan Hoa, Ngo Viet Trung, Asymptotic linear bounds for the Castelnuovo-Mumford regularity, Trans. Amer. Math. Soc. 354 (2002),  1793 - 1809 (electronic).
35Henrik Bresinsky, Le Tuan Hoa, On some hereditary properties between I and in (I),  Acta Math. Vietnam. 26 (2001), 219 - 230.
36Nicholas Allsop, Le Tuan Hoa, On the quotient between length and multiplicity. Comm. Algebra 28 (2000), 815 - 828.
37Henrik Bresinsky, Le Tuan Hoa, Minimal generating sets for a family of monomial curves in A4. In: Commutative Algebra and Algebraic Geometry (ed. F. Van Oystaeyen), Lect. Notes in Pure Appl. Math. 206 (1999), 5 - 14.
38Henrik Bresinsky, Le Tuan Hoa, On the reduction number of some graded algebras. Proc. Amer. Math. Soc. 127 (1999), 1257-1263.
39Le Tuan Hoa, Castelnuovo-Mumford regularity and defining equations of a locally Cohen-Macaulay algebra. In: Commutative Algebra, Algebraic Geometry, and Computational Methods (Ed.: D. Eisenbud) , Springer, 1999, 301 - 313.
40Le Tuan Hoa, Ngo Viet Trung, On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals. Math. Z. 229 (1998), 519 - 537.
41Le Tuan Hoa, Postulation number of good filtrations. Comm. Algebra 25 (1997), 1961 - 1974.
42Le Tuan Hoa, Reduction numbers of equimultiple ideals. J. Pure Appl. Algebra 109 (1996), 111 - 126.
43Le Tuan Hoa, A note on the Hilbert-Samuel function in a two-dimensional local ring. Acta Math. Vietnam. 21 (1996), 335 - 347.
44Le Tuan Hoa, Bounds for the number of generators of generalized Cohen-Macaulay ideals. J. Algebra 178 (1995), 302 - 316.
45Le Tuan Hoa, Rosa M. Miró-Roig. , Bounds for the Betti numbers of generalized Cohen-Macaulay ideals. Proc. Amer. Math. Soc. 123 (1995), 2397 – 2405.
46Le Tuan Hoa, Chikashi Miyazaki, Bounds on Castelnuovo-Mumford regularity for generalized Cohen-Macaulay graded rings. Math. Ann. 301 (1995), 587 - 598.
47Le Tuan Hoa, Bounds for the Betti numbers of a projective curve. In: Proceeding of the International Conference "Commutative Algebra", Vechta 1994 (eds: W. Bruns, J. Herzog, M. Hochster and U. Vetter), 85 - 88.
48Le Tuan Hoa, Santiago Zarzuela, Reduction numbers and a-invariants of good filtrations. Comm. Algebra. 22 (1994), 5635 - 5656.
49H. Bresinsky, F. Curtis, M. Fiorentini, Le Tuan Hoa, On the structure of local cohomology modules for projective monomial curves in P_3^{K}. Nagoya Math. J. 136 (1994), 81 - 114.
50M. Fiorentini, Le Tuan Hoa, Some remarks on generalized Cohen-Macaulay rings. Bull. Belg. Math. Soc. 1 (1994), 507 - 519.
51Le Tuan Hoa, W. Vogel, Castelnuovo-Mumford regularity and hyperplane sections. J. Algebra 163 (1994), 348 - 365.
52Le Tuan Hoa, Rosa M. Miró-Roig, and Wolfgang Vogel, On numerical invariants of locally Cohen-Macaulay schemes in ${\bf P}\sp n$. Hiroshima Math. J. 24 (1994), 299 - 316.
53Le Tuan Hoa, On reduction numbers and Rees algebras of powers of an ideal. Proc. Amer. Math. Soc. 119 (1993), 415 - 422.
54Le Tuan Hoa, Koszul homology and generalized Cohen-Macaulay modules. Acta Math. Vietnam. 18 (1993), 91 - 98.
55Le Tuan Hoa, On minimal free resolutions of projective varieties of degree = codimension + 2. J. Pure Appl. Algebra. 87 (1993), 241 - 250.
56Ralf FroÖberg, Le Tuan Hoa, Segre products and Rees algebras of face rings. Comm. Algebra 20 (1992), 3369 - 3380.
57Le Tuan Hoa, On monomial k-Buchsbaum curves in $\matbb P^3$. Manuscripta Math. 73 (1991), 423 - 436.
58Le Tuan Hoa, A note on projective monomial surfaces. Math. Nachr. 154 (1991), 183 - 188.
59Le Tuan Hoa, Jürgen Stückrad, Wolfgang Vogel, Towards a structure theory for projective varieties of degree = codimension + 2, J. Pure Appl. Algebra 71 (1991), 203 - 231.
60Le Tuan Hoa, The Gorenstein property depends upon characteristic for affine semigroup rings. Arch. Math. 56 (1991), 228 - 235.
61Mario Fiorentini, Le Tuan Hoa, On monomial k-Buchsbaum curves in P^r. Ann. Univ. Ferrara, Sez. VII, Sc. Mat. 36 (1990), 159 - 174.
62Le Tuan Hoa, Algorithmetical aspects of the problem of classifying multi-projections of Veronese varieties. Manuscipta Math. 63 (1989), 317 - 331.
63Le Tuan Hoa, On Segre products of affine semigroup rings. Nagoya Math. J. 110 (1988), 113 - 128.
64Phan Dinh Dieu, Le Cong Thanh, Le Tuan Hoa, Average polynomial time complexity of some NP-complete problems. Theory Comput. Sci. 46 (1986), 219 - 237.
65Le Tuan Hoa, Classification of the triple projections of Veronese varieties. Math. Nachr. 128 (1986), 185 - 197.
66Ngo Viet Trung, Le Tuan Hoa, Affine semigroups and Cohen-Macaulay rings generated by monomials. Trans. Amer. Math. Soc. 298 (1986), 145 - 167.
Preprints
1IMH20220503, Le Xuan Dung, Juan Elias, Le Tuan Hoa, Upper bounds on two Hilbert coefficients