Do Ngoc Diep


Full Professor, Doctor of Science

Cộng tác viên
Research interests:

Harmonic Analysis, Non-commutative Geometry, Representation theory


Address
Office: Building A5, Room 105
Tel: +84 24 37563474 / 105
Email: dndiep AT math.ac.vn

Date and Place of Birth: August 10, 1950; Hung Yen, Vietnam

Full CV

 

Education

  • AB/BS: Moscow State University (Former Soviet Union), year 1974.
  • PhD: Moscow State University (Former Soviet Union), year 1977.
  • DSc: Institute of Mathematics, year: 1995
  • Full Professor: 1996
  • Professor:  1991

 

Positions:

  1. 1981 - 1984: Deputy Head Department of Topology and Geometry, Inst. Math. NCST of Vietnam
  2. 1984 - 2000: Head Department of Topology and Geometry, Inst. Math. NCST of Vietnam
  3. 2007 - 2010: Head Department of Topology and Geometry, Inst. Math. NCST of Vietnam

 

 Member of the Editorial Board

  • 1996-2000: Editor Vietnam Journal of Mathematics
  • 1998-2000: Deputy Editor in Chief Acta Mathematica Vietnamica
  • 2008-2012: Deputy Editor in Chief Vietnam Journal of Mathematics
  • 2010: Editor International Journal of Mathematical Modeling and Numerical Optimisation
  • 2010-...: Editor Journal of Statistics and Mathematics
  • 2012-...: Editor Vietnam Journal of Mathematics

 

 Ph.D. students

Graduated Ph.D. students

  1. Ho Huu Viet
  2. Le Anh Vu
  3. Tran Vui
  4. Tran Dao Dong
  5. Nguyen Van Thu
  6. Nguyen Viet Hai
  7. Job Nable
  8. Nguyen Quoc Tho
  9. Huynh Van Duc
  10. Do Thi Phuong Quynh

Current Ph.D. students

 

 

 

PUBLICATIONS

List of publications in MathSciNet

List of publications

 

List of recent publications
1Koji Nagata, Santanu Kumar Patro, Han Geurdes, Shahrokh Heidari, Do Ngoc Diep, Tadao Nakamura, Various New Forms of the Bernstein-Vazirani Algorithm Beyond Qubit Systems, Asian Journal of Mathematics and Physics, 3 (2019) 1-12.
2Koji Nagat, Tadao Nakamura, Ahmed Farouk, Do Ngoc Diep, No-Cloning Theorem, Kochen-Specker Theorem, and Quantum Measurement Theories, International Journal of Theoretical Physics, 58 (2019), 1845–1853, SCI(-E); Scopus
3Koji Nagat, Tadao Nakamura, Ahmed Farouk, Do Ngoc Diep, Necessary and Sufficient Condition for Quantum Computing, International Journal of Theoretical Physics, 58 (2019), 136–14, SCI(-E); Scopus
4Koji Nagata, Tadao Nakamura, Han Geurdes, Josep Batle, Ahmed Farouk, Do Ngoc Diep, Santanu Kumar Patro, Efficient Quantum Algorithms of Finding the Roots of a Polynomial Function, International Journal of Theoretical Physics 57 (2018), pp 2546–2555, SCI(-E); Scopus.
5Koji Nagata, Tadao Nakamura, Han Geurdes, Josep Batle, Soliman Abdalla, Ahmed Farouk, Do Ngoc Diep, Creating Very True Quantum Algorithms for Quantum Energy Based Computing, International Journal of Theoretical Physics 57 (2018), pp 973–980, SCI(-E); Scopus.
6Do Ngoc Diep, Do Hoang Giang, Phan Huy Phu, Application of Quantum Gauss-Jordan Elimination Code to Quantum Secret Sharing Code, International Journal of Theoretical 57 (2018), pp 841–847, SCI(-E); Scopus.
7Do Ngoc Diep, Do Hoang Giang, Nguyen Van Minh, Quantum Gauss-Jordan Elimination and Simulation of Accounting Principles on Quantum Computers, International Journal of Theoretical Physics, 56 (2017), pp 1948–1960, (SCI-E) - Scopus.
8Do Ngoc Diep, Do Hoang Giang, Quantum Communication and Quantum Multivariate Polynomial Interpolation, International Journal of Theoretical Physics, 56 (2017), 2797–2802, (SCI-E); Scopus.
9Do Ngoc Diep, On the Twisted KK-Theory and Positive Scalar Curvature Problem, International Journal of Advances in Mathematics 2017 (2017), 9-15, SCI(-E).
10Do Ngoc Diep, Quantization of fields and automorphic representations, International Journal of Advances in Mathematics, 1 (2017), 48-54.
11Do Ngoc Diep, D.T.P. Quynh, Poisson Summation and Endoscopy for Sp(4,R), Southeast Asian Bulletin of Mathematics, 40 (2016), 837-856, SCI(-E); Scopus.
12Do Ngoc Diep, Do Thi Phuong Quynh, Poisson summation and endoscopy for  $SU(2,1)$, East West Journal of Mathematics 17 (2015), 125-140.
13Do Ngoc Diep, Do Thi Phuong Quynh, Automorphic representations of SL(2,R) and quantization of fields, American Research Journal of Mathematics, 1 (2015), 25-37.
14Do Ngoc Diep, Category of Noncommutative CW-Complexes. II, Vietnam J Math 42 (2014) 73–82, Scopus.
15Do Ngoc Diep, Category of noncommutative CW complexes, Vietnam Journal of Mathematics 38 (2010), 363 -- 371, Scopus.
16Nong Quoc Chinh , Do Ngoc Diep, Course of Differential Geometry, NXB DHQG HN, 2010 (in Vietnamese)
17Do Ngoc Diep, Huynh Van Duc, Bui Doan Khanh, An algebraic approach to building quantum algorithms, Journal of Math.Appl. (Tap chi Ung dung Toan hoc), VII(2010), 93-110.,  (in Vietnamese)
18Do Ngoc Diep, H. D. Ton, On the electric-magnetic Goddard-Nuyts-Olive duality,  Vietnam J. Math, 37 (2009), 457 -- 462.
19Do Ngoc Diep, A quantization procedure of fields based on geometric Langlands correspondence,  International J. of Mathematics and Mathematical Sciences, 2009 (2009), Article ID: 749361, 14.
20Do Ngoc Diep, Dao Vong Duc, Ha Vinh Tan, Nguyen Ai Viet, Convolution-wedge product of fields, Communications in Physics, 18 (2008), 111-118.
21Do Ngoc Diep, Dao Vong Duc, Ha Vinh Tan, Nguyen Ai Viet, Extended kaluza-klein unification model with mixed compactification, Communications in Physics, 18 (2008), 129-135.
22Do Ngoc Diep, Graded Čech cohomology in noncommutative geometry. In: Advances in deterministic and stochastic analysis, 255 - 268, World Sci. Publ., Hackensack, NJ, 2007.
23Do Ngoc Diep, Quantized algebras of functions on affine Hecke algebras. Harmonic, wavelet and p-adic analysis, 211–227, World Sci. Publ., Hackensack, NJ, 2007.
24Do Ngoc Diep, Quantized algebras of functions on affine Hecke algebras. In: Harmonic, wavelet and $p$-adic analysis, 211 - 227, preprint arXiv:math/0101015.
25Do Ngoc Diep, Quantum computers and related mathematicalstructures. Tap chi Ung dung Toan hoc 2 (2004), 77 - 92 (in Vietnamese).
26Do Ngoc Diep, Riemann-Roch theorem and index theorem in non-commutative geometry, In: Abstract and applied analysis, 29-50, World Sci. Publishing, River Edge, NJ, 2004.
27Do Ngoc Diep, The noncommutative Chern-Connes character of the locally compact quantum normalizer of SU (1,1) in SL(2, C), Internat. J. Math. 15 (2004), N0 4, 361 - 367.
28Do Ngoc Diep, N. V. Hai, Quantum co-adjoint orbits of the group of affine transformations of the complex line. Beitr. Algebra Geom 42 (2001), 419 - 430.
29Do Ngoc Diep, N. V. Hai, Quantum half-planes via deformation quantization, Beitr. Algebra Geom. 42 (2001), 407 - 417.
30Do Ngoc Diep, A. O. Kuku and N. Q. Tho, Non-commutative Chern characters of compact quantum group. J. Algebra 226 (2000), N0 1, 311 - 331.
31Do Ngoc Diep, Methods of noncommutative geometry for group C*-algebras. Chapman & Hall/CRC Research Notes in Mathematics, 416. Chapman & Hall/CRC, Boca Raton, FL, 2000. xii+351 pp.
32Do Ngoc Diep, T. C. Trung, A geometric realization of degenerate principal series presentations of symplectic groups. East-West J. Math. 1 (1999), 117 - 130.
33Do Ngoc Diep, A. O. Kuku and N. Q. Tho, Non-commutative Chern characters for compact Lie group C*-algebras. K-Theory 17 (1999), 195 - 208.
34Do Ngoc Diep, Witten-Jeffrey-Kirwan localization formula for reduction at regular coadjoint orbits. Matimyas Matematika, Special Issue, August 1998, In: Proceedings "International Conference on Inverse Problems and Applications", February 23 - 27, 1998, 93 - 108.
35Do Ngoc Diep, Nguyen Van Thu, Homotopy invariance of entire current periodic cyclic homology. Vietnam J. Math. 25 (1997), 211 - 228.
36Do Ngoc Diep, Multidimensional quantization and degenerate principal series. Vietnam J. of Math. 23 (1995), 127 - 132.
37Do Ngoc Diep, Non-commutative geometry methods for group algebras. Dr. Sc. Thesis, Institute of Math. NCST of Vietnam, Hanoi, 1995, 147 pp. (in Vietnamese).
38Do Ngoc Diep, Vanishing theorem for representations with regular lowest weight of loop groups, Forschungsgruppe "Nichtkommutative Geometrie und Topologie". Uni. Heidelberg 75 (1993), 1 - 21.
39Do Ngoc Diep, A survey of noncommutative geometry methods for group algebras. J. Lie Theory (then Seminar Sophus Lie) 3 (1993), 149 - 176.
40Do Ngoc Diep, Multidimensional quantization and Fourier integral operators, Forschungsgruppe "Nichtkommutative Geometrie und Topologie". Math, Inst. Uni Heidelberg 52 (1992), 1 - 17.
41Do Ngoc Diep, On the Langlands type discrete groups III. The continuous cohomology, Sonderforschungbereich 343 “Diskrete Strukturen in der Mathematik” 92-015 (1992), Uni Bielefeld, III.1-III.14.
42Do Ngoc Diep, Discrete series for loop groups I, Sonderforschungbereich 343 “Diskrete Strukturen in der Mathematik”. Uni Bielefeld 92-015 (1992), IV.1-IV.16.
43Do Ngoc Diep, Construction et reduction of the K-theory invariant Index C*(G) of group C*-algebras, Sonderforschungbereich 343 “Diskrete Strukturen in der Mathematik”. Uni Bielefeld 92-015 (1992), I.1-I.10.
44Do Ngoc Diep, On the Langlands type discrete groups II. The theory of Eisenstein series. Acta Math. Vietnam. 16 (1991),  77 - 90.
45Do Ngoc Diep, Multidimensional quantization V. The mechanical systems with supersymmetry. Acta Math. Vietnam. 15 (1990), 11 - 40.
46Do Ngoc Diep, Multidimensional quantization IV. The generic representations. Acta Math. Vietnam. 13 (1988), 67 - 72.
47Do Ngoc Diep, On the Langlands type discrete groups I. The Borel-Serre compactification. Acta Math. Vietnam. 12 (1987), 41 - 54.
48Do Ngoc Diep, C*-complexes de Fredholm II. Acta Math. Vietnam. 9 (1984), 193 - 199.
49Do Ngoc Diep, C*-complexes de Fredholm I. Acta Math. Vietnam. 9 (1984), 121 - 130.
50Do Ngoc Diep, Geometric quantization. Tap chi Toan hoc 11 (1983), 1 - 4 (in Vietnamese).
51Do Ngoc Diep, Quantification multidimensionnelle III. Applications: Sur les représentations irréductibles de groupes de difféomorphismes. Acta Math. Vietnam. 8 (1983), 59 - 72.
52Do Ngoc Diep, Quelques aspects topologiques en analyse harmonique. Acta Math. Vietnam. 8 (1983), 35 - 125.
53Do Ngoc Diep, Multidimensional quantization II. The covariant derivation. Acta Math. Vietnam. 7 (1982), 87 - 93.
54Do Ngoc Diep, Idéaux de type compact associés aux représentations irréductibles induites par des repésentations liminaires de sous-groupes invariants. C. R. Acad. Sci. Paris Série I, 294 (1982), 189 - 192.
55Do Ngoc Diep, Quantification des systèmes hamiltoniens à l'action plate d'un groupe de Lie. C. R. Acad. Sci. Paris Série I, 295 (1982), 345 - 348.
56Do Ngoc Diep, Functor of projective limit in Banach categories. Tap chi Toan hoc 9 (1981), 16 - 20 (in Vietnamese ).
57Do Ngoc Diep, Multidimensional quantization. I The general construction. Acta Math. Vietnam. 5 (1980),  42 - 55.
58Do Ngoc Diep, Construction des représentations unitaires par les K-orbites et quantification. C. R. Acad. Paris Série A, 291 (1980), 295 - 298.
59Do Ngoc Diep, The structure of C*-algebras of type I, Vestnik Moskov. Uni., 1978, 81 - 87.
60Do Ngoc Diep, Applications of the homological K-functor Ext to studying the structure of the C*-algebras of some solvable Lie groups. Ph. D. Thesis, Moskov. Uni., 1977.
61Do Ngoc Diep, Applications of the homological K-functor Ext to studying the structure of the C*-algebras of some solvable Lie groups. Ph. D. Thesis, Moskov. Uni., 1977.
62Do Ngoc Diep, The structure of the group C*-algebra of the group of affine transformations of the straight line. Funkt. Anal. i Priloz. 9 (1975), 63 - 64.
Preprints
1IMH20170901, K. Nagata, T. Nakamura, H. Geurdes, J. Batle, S. Abdaila, A. Farouk, Do Ngoc Diep, Quantum computing determining a homogeneous linear function.
2IMH20170601, Do Ngoc Diep, Transfering Quantum e-cheques in nonsecured channels.
3IMH20170505, Do Ngoc Diep, Nguyen Van Minh, Quantum E-Cheques, preprint arXiv.
4IMH20170502, Do Ngoc Diep, Multiparty Quantum Telecommunication Using Quantum Fourier Transforms, preprint arXiv:1705.02608
5IMH20161001, Do Ngoc Diep, $\ell$-adic Poisson Formula and Endoscopy for $p$-Adic Reductive Groups
6IMH20160201, Do Ngoc Diep, On the Twisted KK-Theory and Positive Scalar Curvature Problem
7IMH20140703, Do Ngoc Diep, Do Thi Phuong Quynh, Poisson summation and endoscopy for  $SL_3(\mathbb R), preprint arXiv:1407.6912.