### Do Ngoc Diep

 Full Professor, Doctor of Science Cộng tác viên Research interests: Harmonic Analysis, Non-commutative Geometry, Representation theory

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

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

List of recent publications
 1 Koji 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. 2 Koji 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. 3 Do 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. 4 Do 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. 5 Do Ngoc Diep, Do Hoang Giang, Quantum Communication and Quantum Multivariate Polynomial Interpolation, International Journal of Theoretical Physics, 56 (2017), 2797–2802. 6 Do Ngoc Diep, On the Twisted KK-Theory and Positive Scalar Curvature Problem, International Journal of Advances in Mathematics 2017 (2017), 9-15. 7 Do Ngoc Diep, Quantization of fields and automorphic representations, International Journal of Advances in Mathematics, 1 (2017), 48-54. 8 Do Ngoc Diep, D.T.P. Quynh, Poisson Summation and Endoscopy for Sp(4,R), Southeast Asian Bulletin of Mathematics, 40 (2016), 837-856. 9 Do Ngoc Diep, Do Thi Phuong Quynh, Poisson summation and endoscopy for  $SU(2,1)$, East West Journal of Mathematics 17 (2015), 125-140. 10 Do 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. 11 Do Ngoc Diep, Category of Noncommutative CW-Complexes. II, Vietnam J Math 42 (2014) 73–82. 12 Do Ngoc Diep, Category of noncommutative CW complexes,  Vietnam Journal of Math.  38 (2010), 363 -- 371. 13 Nong Quoc Chinh , Do Ngoc Diep, Course of Differential Geometry, NXB DHQG HN, 2010 (in Vietnamese) 14 Do 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) 15 Do Ngoc Diep, H. D. Ton, On the electric-magnetic Goddard-Nuyts-Olive duality,  Vietnam J. Math, 37 (2009), 457 -- 462. 16 Do 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. 17 Do Ngoc Diep, Dao Vong Duc, Ha Vinh Tan, Nguyen Ai Viet, Convolution-wedge product of fields, Communications in Physics, 18 (2008), 111-118. 18 Do 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. 19 Do Ngoc Diep, Graded Čech cohomology in noncommutative geometry. In: Advances in deterministic and stochastic analysis, 255 - 268, World Sci. Publ., Hackensack, NJ, 2007. 20 Do Ngoc Diep, Quantized algebras of functions on affine Hecke algebras. Harmonic, wavelet and p-adic analysis, 211–227, World Sci. Publ., Hackensack, NJ, 2007. 21 Do Ngoc Diep, Quantized algebras of functions on affine Hecke algebras. In: Harmonic, wavelet and $p$-adic analysis, 211 - 227, preprint arXiv:math/0101015. 22 Do Ngoc Diep, Quantum computers and related mathematicalstructures. Tap chi Ung dung Toan hoc 2 (2004), 77 - 92 (in Vietnamese). 23 Do 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. 24 Do 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. 25 Do 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. 26 Do Ngoc Diep, N. V. Hai, Quantum half-planes via deformation quantization, Beitr. Algebra Geom. 42 (2001), 407 - 417. 27 Do 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. 28 Do 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. 29 Do Ngoc Diep, T. C. Trung, A geometric realization of degenerate principal series presentations of symplectic groups. East-West J. Math. 1 (1999), 117 - 130. 30 Do 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. 31 Do 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. 32 Do Ngoc Diep, Nguyen Van Thu, Homotopy invariance of entire current periodic cyclic homology. Vietnam J. Math. 25 (1997), 211 - 228. 33 Do Ngoc Diep, Multidimensional quantization and degenerate principal series. Vietnam J. of Math. 23 (1995), 127 - 132. 34 Do Ngoc Diep, Non-commutative geometry methods for group algebras. Dr. Sc. Thesis, Institute of Math. NCST of Vietnam, Hanoi, 1995, 147 pp. (in Vietnamese). 35 Do Ngoc Diep, Vanishing theorem for representations with regular lowest weight of loop groups, Forschungsgruppe "Nichtkommutative Geometrie und Topologie". Uni. Heidelberg 75 (1993), 1 - 21. 36 Do Ngoc Diep, A survey of noncommutative geometry methods for group algebras. J. Lie Theory (then Seminar Sophus Lie) 3 (1993), 149 - 176. 37 Do Ngoc Diep, Multidimensional quantization and Fourier integral operators, Forschungsgruppe "Nichtkommutative Geometrie und Topologie". Math, Inst. Uni Heidelberg 52 (1992), 1 - 17. 38 Do 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. 39 Do Ngoc Diep, Discrete series for loop groups I, Sonderforschungbereich 343 “Diskrete Strukturen in der Mathematik”. Uni Bielefeld 92-015 (1992), IV.1-IV.16. 40 Do 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. 41 Do Ngoc Diep, On the Langlands type discrete groups II. The theory of Eisenstein series. Acta Math. Vietnam. 16 (1991),  77 - 90. 42 Do Ngoc Diep, Multidimensional quantization V. The mechanical systems with supersymmetry. Acta Math. Vietnam. 15 (1990), 11 - 40. 43 Do Ngoc Diep, Multidimensional quantization IV. The generic representations. Acta Math. Vietnam. 13 (1988), 67 - 72. 44 Do Ngoc Diep, On the Langlands type discrete groups I. The Borel-Serre compactification. Acta Math. Vietnam. 12 (1987), 41 - 54. 45 Do Ngoc Diep, C*-complexes de Fredholm II. Acta Math. Vietnam. 9 (1984), 193 - 199. 46 Do Ngoc Diep, C*-complexes de Fredholm I. Acta Math. Vietnam. 9 (1984), 121 - 130. 47 Do Ngoc Diep, Geometric quantization. Tap chi Toan hoc 11 (1983), 1 - 4 (in Vietnamese). 48 Do Ngoc Diep, Quantification multidimensionnelle III. Applications: Sur les représentations irréductibles de groupes de difféomorphismes. Acta Math. Vietnam. 8 (1983), 59 - 72. 49 Do Ngoc Diep, Quelques aspects topologiques en analyse harmonique. Acta Math. Vietnam. 8 (1983), 35 - 125. 50 Do Ngoc Diep, Multidimensional quantization II. The covariant derivation. Acta Math. Vietnam. 7 (1982), 87 - 93. 51 Do 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. 52 Do 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. 53 Do Ngoc Diep, Functor of projective limit in Banach categories. Tap chi Toan hoc 9 (1981), 16 - 20 (in Vietnamese ). 54 Do Ngoc Diep, Multidimensional quantization. I The general construction. Acta Math. Vietnam. 5 (1980),  42 - 55. 55 Do Ngoc Diep, Construction des représentations unitaires par les K-orbites et quantification. C. R. Acad. Paris Série A, 291 (1980), 295 - 298. 56 Do Ngoc Diep, The structure of C*-algebras of type I, Vestnik Moskov. Uni., 1978, 81 - 87. 57 Do 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. 58 Do 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. 59 Do 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
 1 IMH20170902, K. Nagata, T. Nakamura, H. Geurdes, J. Batle, S. Abdaila, A. Farouk, Do Ngoc Diep, Creating very true quantum algorithms for quantum energy based computing. 2 IMH20170901, K. Nagata, T. Nakamura, H. Geurdes, J. Batle, S. Abdaila, A. Farouk, Do Ngoc Diep, Quantum computing determining a homogeneous linear function. 3 IMH20170601, Do Ngoc Diep, Transfering Quantum e-cheques in nonsecured channels. 4 IMH20170505, Do Ngoc Diep, Nguyen Van Minh, Quantum E-Cheques, preprint arXiv. 5 IMH20170502, Do Ngoc Diep, Multiparty Quantum Telecommunication Using Quantum Fourier Transforms, preprint arXiv:1705.02608 6 IMH20161001, Do Ngoc Diep, $\ell$-adic Poisson Formula and Endoscopy for $p$-Adic Reductive Groups 7 IMH20160201, Do Ngoc Diep, On the Twisted KK-Theory and Positive Scalar Curvature Problem 8 IMH20140703, Do Ngoc Diep, Do Thi Phuong Quynh, Poisson summation and endoscopy for  \$SL_3(\mathbb R), preprint arXiv:1407.6912.

### Highlights

 21/09/18, Conference:The 6th Franco-Japanese-Vietnamese Symposium on Singularities 29/09/18, Conference:Một ngày Hệ động lực và Phương trình Đạo hàm riêng 13/10/18, Conference:Hội thảo Một số vấn đề trong Hình học – Giải tích 17/10/18, Conference:The Winter School on Algebraic Geometry 22/10/18, Conference:The Third Mongolia-Russia-Vietnam Workshop on Numerical Solution of Integral and Differential Equations (NSIDE 2018) 23/10/18, Conference:ALGEBRAIC GEOMETRY IN EAST ASIA 01/12/18, Conference:Hội thảo khoa học các cựu học viên, nghiên cứu sinh LIA 03/12/18, Conference:Arithmetic Geometry and de Rham Theory