Le Tuan Hoa

 Full Professor, Doctor of Science Department of Algebra Research interests: Commutative Algebra, Algebraic Geometry and Combinatorics

Office: Building A6, Room 412
Tel: +84 24 38361121 / 412
Email: lthoa AT math.ac.vn
Personal homepage: http://vie.math.ac.vn/~lthoa/

Born in Thanh Hoa, Vietnam in 1957

• 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:

• 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, from November 2011

List of publications in MathSciNet

List of recent publications
 1 Le 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. 2 Le Xuan Dung, Le Tuan Hoa, Erratum to: Dependence of Hilbert coefficients, Manuscripta Mathematica, 54 (2017), 551–552. 3 Le 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. 4 Le 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. 5 Le Xuan Dung, Le Tuan Hoa, Dependence of Hilbert coefficients, Manuscripta Mathematica, 149 (2016), 235-249,(SCI-E); Scopus. 6 Le Tuan Hoa, M. Morales, Non-linear behaviour of Castelnuovo-Mumford regularity, J. Algebra 356 (2012), 207-215. 7 Le 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 8 Le 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. 9 Le Tuan Hoa, Do Hoang Giang, On local cohomology of a tetrahedral curve, Acta Math. Vietnamica, 35 (2010), 229 -- 241, Scopus. 10 Le Tuan Hoa, Nguyen Duc Tam, On some invariants of a mixed product of ideals, Archiv der Mathematik, 94 (2010), 327 -- 337, SCI(-E); Scopus. 11 Le 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. 12 Le 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. 13 Le 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. 14 Le Tuan Hoa, Tran Nam Trung, Castelnuovo-Mumford regularity of sums of powers of polynomial ideals, Comm. Algebra 36 (2008), 806 - 820. 15 Dao Thanh Ha, Le Tuan Hoa, Castelnuovo-Mumford regularity of some modules, Comm. Algebra 36 (2008), 992 - 1004. 16 Le 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. 17 Le 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. 18 Le Tuan Hoa, Eero Hyry, Castelnuovo-Mumford regularity of canonical and deficiency modules, J. Algebra 305 (2006), 877 - 900,  preprintarXiv:math/0605122. 19 Le Tuan Hoa, Stability of associated primes of monomial ideals, Vietnam J. Math. 34 (2006), 473 - 487. 20 Le 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. 21 Le Tuan Hoa, Eero Hyry, Castelnuovo–Mumford regularity of initial ideals, J. Symb. Computation, 38 (2004), 1327 - 1341. 22 Henrik Bresinsky, Le Tuan Hoa, The k-Buchsbaum property for some polynomial ideals, J. Math. Kyoto Univ. 43 (2004), 699 - 717. 23 Le Tuan Hoa, Computer Algebra: Groebner bases (in Vietnamese) - Đại số máy tính: Cơ sở Groebner. NXB ĐHQG 2003, 290 trang. 24 Le Tuan Hoa, Ngo Viet Trung, Borel-fixed ideals and reduction number, J. Algebra 270 (2003), N0 1, 335 - 346. 25 Le Tuan Hoa, Eero Hyry, On local cohomology and Hilbert function of powers of ideals, Manuscripta Math. 112 (2003), 77 - 92. 26 Le Tuan Hoa, Jürgen Stückrad, Castelnuovo-Mumford regularity of simplicial toric rings, J. Algebra 259 (2003), 127 - 146. 27 Le Tuan Hoa, Asymptotic behavior of reduction numbers, Proc. Amer. Math. Soc. 130 (2002), 3151 - 3158. 28 Jürgen Herzog, Le Tuan Hoa, Ngo Viet Trung, Asymptotic linear bounds for the Castelnuovo-Mumford regularity, Trans. Amer. Math. Soc. 354 (2002),  1793 - 1809 (electronic). 29 Henrik Bresinsky, Le Tuan Hoa, On some hereditary properties between I and in (I),  Acta Math. Vietnam. 26 (2001), 219 - 230. 30 Nicholas Allsop, Le Tuan Hoa, On the quotient between length and multiplicity. Comm. Algebra 28 (2000), 815 - 828. 31 Henrik 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. 32 Henrik Bresinsky, Le Tuan Hoa, On the reduction number of some graded algebras. Proc. Amer. Math. Soc. 127 (1999), 1257-1263. 33 Le 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. 34 Le Tuan Hoa, Ngo Viet Trung, On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals. Math. Z. 229 (1998), 519 - 537. 35 Le Tuan Hoa, Postulation number of good filtrations. Comm. Algebra 25 (1997), 1961 - 1974. 36 Le Tuan Hoa, Reduction numbers of equimultiple ideals. J. Pure Appl. Algebra 109 (1996), 111 - 126. 37 Le Tuan Hoa, A note on the Hilbert-Samuel function in a two-dimensional local ring. Acta Math. Vietnam. 21 (1996), 335 - 347. 38 Le Tuan Hoa, Bounds for the number of generators of generalized Cohen-Macaulay ideals. J. Algebra 178 (1995), 302 - 316. 39 Le Tuan Hoa, Rosa M. Miró-Roig. , Bounds for the Betti numbers of generalized Cohen-Macaulay ideals. Proc. Amer. Math. Soc. 123 (1995), 2397 – 2405. 40 Le Tuan Hoa, Chikashi Miyazaki, Bounds on Castelnuovo-Mumford regularity for generalized Cohen-Macaulay graded rings. Math. Ann. 301 (1995), 587 - 598. 41 Le 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. 42 Le Tuan Hoa, Santiago Zarzuela, Reduction numbers and a-invariants of good filtrations. Comm. Algebra. 22 (1994), 5635 - 5656. 43 H. 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. 44 M. Fiorentini, Le Tuan Hoa, Some remarks on generalized Cohen-Macaulay rings. Bull. Belg. Math. Soc. 1 (1994), 507 - 519. 45 Le Tuan Hoa, W. Vogel, Castelnuovo-Mumford regularity and hyperplane sections. J. Algebra 163 (1994), 348 - 365. 46 Le 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. 47 Le Tuan Hoa, On reduction numbers and Rees algebras of powers of an ideal. Proc. Amer. Math. Soc. 119 (1993), 415 - 422. 48 Le Tuan Hoa, Koszul homology and generalized Cohen-Macaulay modules. Acta Math. Vietnam. 18 (1993), 91 - 98. 49 Le Tuan Hoa, On minimal free resolutions of projective varieties of degree = codimension + 2. J. Pure Appl. Algebra. 87 (1993), 241 - 250. 50 Ralf FroÖberg, Le Tuan Hoa, Segre products and Rees algebras of face rings. Comm. Algebra 20 (1992), 3369 - 3380. 51 Le Tuan Hoa, On monomial k-Buchsbaum curves in $\matbb P^3$. Manuscripta Math. 73 (1991), 423 - 436. 52 Le Tuan Hoa, A note on projective monomial surfaces. Math. Nachr. 154 (1991), 183 - 188. 53 Le 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. 54 Le Tuan Hoa, The Gorenstein property depends upon characteristic for affine semigroup rings. Arch. Math. 56 (1991), 228 - 235. 55 Mario Fiorentini, Le Tuan Hoa, On monomial k-Buchsbaum curves in P^r. Ann. Univ. Ferrara, Sez. VII, Sc. Mat. 36 (1990), 159 - 174. 56 Le Tuan Hoa, Algorithmetical aspects of the problem of classifying multi-projections of Veronese varieties. Manuscipta Math. 63 (1989), 317 - 331. 57 Le Tuan Hoa, On Segre products of affine semigroup rings. Nagoya Math. J. 110 (1988), 113 - 128. 58 Phan Dinh Dieu, Le Cong Thanh, Le Tuan Hoa, Average polynomial time complexity of some NP-complete problems. Theory Comput. Sci. 46 (1986), 219 - 237. 59 Le Tuan Hoa, Classification of the triple projections of Veronese varieties. Math. Nachr. 128 (1986), 185 - 197. 60 Ngo Viet Trung, Le Tuan Hoa, Affine semigroups and Cohen-Macaulay rings generated by monomials. Trans. Amer. Math. Soc. 298 (1986), 145 - 167.
Preprints
 1 IMH20170603, Le Tuan Hoa, Tran Nam Trung, Stability of Depth and Cohen-Macaulayness of Integral Closures of Powers of Monomial Ideals, preprint ArXiv 1706.07603,Scopus.

Highlights

 19/03/19, Conference:CIMPA - IMH RESEARCH SCHOOL Hyperplane Arrangements: Recent Advances and Open Problems 22/03/19, Colloquium Lecture:Self-avoiding walk, spin systems, and renormalization 22/03/19, Colloquium Lecture:How accurate are solutions of optimal control problems? 24/03/19, Conference:Trường “Inverse Problems and Deep Learning (Bài toán ngược và học sâu)” 02/04/19, Conference:International Conference on Applied Probability and Statistics (CAPS 2019) 18/04/19, Conference:17th Workshop on Optimization and Scientific Computing 27/05/19, Conference:Quantum Topology and Hyperbolic Geometry