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, Renata Wong, Santanu Kumar Patro, Do Ngoc Diep, Tadao Nakamura, Incompleteness in the Bell Theorem with an Arbitrary Number of Settings, International Journal of Theoretical Physics, 59 (2020), SCI-E, Scpous.
2Do Ngoc Diep, Koji Nagata, Renata Wong, Continuous-Variable Quantum Computing and its Applications to Cryptography, International Journal of Theoretical Physics, 59, 3184–3188(2020), (SCI-E, Scpous).
3Koji Nagata, Do Ngoc Diep, Tadao Nakamura, Quantum Cryptography Based on an Algorithmfor Determining a Function Using Qudit Systems
International Journal of Theoretical Physics, 59, No 9 (2020), 2875–2879 , (SCI-(E), Scpous).
4Do Ngoc Diep, Some Quantum Neural Networks, International Journal of Theoretical Physics, 59 (2020), 1179–1187, (SCI-E, Scopus).
5Koji Nagata, Santanu Kumar Patro, Shahrokh Heidari, Germano Resconi, Do Ngoc Diep, Tadao Nakamura, Han Geurdes, Incompleteness in the bell theorem involving all settings of measuring apparatus, Asia Pacific Journal of Mathematics, 2020 7:8.
6Koji Nagata, Do Ngoc Diep, Tadao Nakamura, Quantum Cryptography Through Some Algorithm for Quantum Computers, Asian Journal of Mathematics and Physics, 4, ISSUE 1, 2020, 7-13.
7Koji 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.
8Koji 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
9Koji 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
10Koji 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.
11Koji 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.
12Do 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.
13Do 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.
14Do Ngoc Diep, Do Hoang Giang, Quantum Communication and Quantum Multivariate Polynomial Interpolation, International Journal of Theoretical Physics, 56 (2017), 2797–2802, (SCI-E); Scopus.
15Do Ngoc Diep, On the Twisted KK-Theory and Positive Scalar Curvature Problem, International Journal of Advances in Mathematics 2017 (2017), 9-15, SCI(-E).
16Do Ngoc Diep, Quantization of fields and automorphic representations, International Journal of Advances in Mathematics, 1 (2017), 48-54.
17Do 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.
18Do Ngoc Diep, Do Thi Phuong Quynh, Poisson summation and endoscopy for  $SU(2,1)$, East West Journal of Mathematics 17 (2015), 125-140.
19Do 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.
20Do Ngoc Diep, Category of Noncommutative CW-Complexes. II, Vietnam J Math 42 (2014) 73–82, Scopus.
21Do Ngoc Diep, Category of noncommutative CW complexes, Vietnam Journal of Mathematics 38 (2010), 363 -- 371, Scopus.
22Nong Quoc Chinh , Do Ngoc Diep, Course of Differential Geometry, NXB DHQG HN, 2010 (in Vietnamese)
23Do 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)
24Do Ngoc Diep, H. D. Ton, On the electric-magnetic Goddard-Nuyts-Olive duality,  Vietnam J. Math, 37 (2009), 457 -- 462.
25Do 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.
26Do Ngoc Diep, Dao Vong Duc, Ha Vinh Tan, Nguyen Ai Viet, Convolution-wedge product of fields, Communications in Physics, 18 (2008), 111-118.
27Do 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.
28Do Ngoc Diep, Graded Čech cohomology in noncommutative geometry. In: Advances in deterministic and stochastic analysis, 255 - 268, World Sci. Publ., Hackensack, NJ, 2007.
29Do Ngoc Diep, Quantized algebras of functions on affine Hecke algebras. Harmonic, wavelet and p-adic analysis, 211–227, World Sci. Publ., Hackensack, NJ, 2007.
30Do Ngoc Diep, Quantized algebras of functions on affine Hecke algebras. In: Harmonic, wavelet and $p$-adic analysis, 211 - 227, preprint arXiv:math/0101015.
31Do Ngoc Diep, Quantum computers and related mathematicalstructures. Tap chi Ung dung Toan hoc 2 (2004), 77 - 92 (in Vietnamese).
32Do 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.
33Do 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.
34Do 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.
35Do Ngoc Diep, N. V. Hai, Quantum half-planes via deformation quantization, Beitr. Algebra Geom. 42 (2001), 407 - 417.
36Do 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.
37Do 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.
38Do Ngoc Diep, T. C. Trung, A geometric realization of degenerate principal series presentations of symplectic groups. East-West J. Math. 1 (1999), 117 - 130.
39Do 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.
40Do 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.
41Do Ngoc Diep, Nguyen Van Thu, Homotopy invariance of entire current periodic cyclic homology. Vietnam J. Math. 25 (1997), 211 - 228.
42Do Ngoc Diep, Multidimensional quantization and degenerate principal series. Vietnam J. of Math. 23 (1995), 127 - 132.
43Do Ngoc Diep, Non-commutative geometry methods for group algebras. Dr. Sc. Thesis, Institute of Math. NCST of Vietnam, Hanoi, 1995, 147 pp. (in Vietnamese).
44Do Ngoc Diep, Vanishing theorem for representations with regular lowest weight of loop groups, Forschungsgruppe "Nichtkommutative Geometrie und Topologie". Uni. Heidelberg 75 (1993), 1 - 21.
45Do Ngoc Diep, A survey of noncommutative geometry methods for group algebras. J. Lie Theory (then Seminar Sophus Lie) 3 (1993), 149 - 176.
46Do Ngoc Diep, Multidimensional quantization and Fourier integral operators, Forschungsgruppe "Nichtkommutative Geometrie und Topologie". Math, Inst. Uni Heidelberg 52 (1992), 1 - 17.
47Do 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.
48Do Ngoc Diep, Discrete series for loop groups I, Sonderforschungbereich 343 “Diskrete Strukturen in der Mathematik”. Uni Bielefeld 92-015 (1992), IV.1-IV.16.
49Do 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.
50Do Ngoc Diep, On the Langlands type discrete groups II. The theory of Eisenstein series. Acta Math. Vietnam. 16 (1991),  77 - 90.
51Do Ngoc Diep, Multidimensional quantization V. The mechanical systems with supersymmetry. Acta Math. Vietnam. 15 (1990), 11 - 40.
52Do Ngoc Diep, Multidimensional quantization IV. The generic representations. Acta Math. Vietnam. 13 (1988), 67 - 72.
53Do Ngoc Diep, On the Langlands type discrete groups I. The Borel-Serre compactification. Acta Math. Vietnam. 12 (1987), 41 - 54.
54Do Ngoc Diep, C*-complexes de Fredholm II. Acta Math. Vietnam. 9 (1984), 193 - 199.
55Do Ngoc Diep, C*-complexes de Fredholm I. Acta Math. Vietnam. 9 (1984), 121 - 130.
56Do Ngoc Diep, Geometric quantization. Tap chi Toan hoc 11 (1983), 1 - 4 (in Vietnamese).
57Do Ngoc Diep, Quantification multidimensionnelle III. Applications: Sur les représentations irréductibles de groupes de difféomorphismes. Acta Math. Vietnam. 8 (1983), 59 - 72.
58Do Ngoc Diep, Quelques aspects topologiques en analyse harmonique. Acta Math. Vietnam. 8 (1983), 35 - 125.
59Do Ngoc Diep, Multidimensional quantization II. The covariant derivation. Acta Math. Vietnam. 7 (1982), 87 - 93.
60Do 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.
61Do 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.
62Do Ngoc Diep, Functor of projective limit in Banach categories. Tap chi Toan hoc 9 (1981), 16 - 20 (in Vietnamese ).
63Do Ngoc Diep, Multidimensional quantization. I The general construction. Acta Math. Vietnam. 5 (1980),  42 - 55.
64Do Ngoc Diep, Construction des représentations unitaires par les K-orbites et quantification. C. R. Acad. Paris Série A, 291 (1980), 295 - 298.
65Do Ngoc Diep, The structure of C*-algebras of type I, Vestnik Moskov. Uni., 1978, 81 - 87.
66Do 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.
67Do 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.