CURRICULUM VITAE

General
Publications
Journals refereed for
Agencies refereed for
Administrative experience
Invited addresses
Memberships
Special awards and honors
Grants
Teaching experience in The United States




Name:                        Sergei K. Suslov
Date of birth:            October 19, 1955
Place of birth:         Ostrovskoe, Kostromskaya region, Russia
Family status:           Married, daughter 1981 y/b and son 1986 y/b

Citizenship:               Russia, US Permanent Resident
Address:                  Department of Mathematics, Arizona State University,
                                Tempe, Arizona 85287-1804, U.S.A.
Phone:                    (480) 965-8987
Fax:                        (480) 965-8119
E-mail:                     sks@asu.edu
URL:                       http://hahn.la.asu.edu/~suslov/index.html
Languages:             Russian, English
Current position:    Associate Professor
                                 Department of Mathematics
                                 Arizona State University

Education:               Ph. D. 1986 (Kurchatov Institute of Atomic Energy
                                   (Supervisor - Professor Ya. A. Smorodinskii);
                                   M. Sc. 1980 (Moscow Institute of Physics and Technology)

Professional employment:

                  1980-1986         Junior research scientist (equivalent to assistant professor)
                                             Department of Molecular Physics
                                             Kurchatov Institute of Atomic Energy, Moscow, Russia;
                  1986-1997         Senior research scientist (equivalent to associate professor)
                                               Laboratory for Mathematical Problems of Physics
                                             Institute of Molecular Physics, RRC "Kurchatov Institute"
                                               Moscow, Russia;
                  1997-1998         Senior Lecturer, Department of Mathematics
                                             Arizona State University, Tempe, USA
                  1998-1999         Visiting Associate Professor, Department of Mathematics
                                             Arizona State University, Tempe, USA
                  1999- 2001     Assistant Professor,Department of Mathematics
                                             Arizona State University, Tempe, USA
                   2001-               Associate Professor, Department of Mathematics
                                             Arizona State University, Tempe, USA.

Visiting positions:

                  1991, September-November:  Visiting professor, University of South Florida, Tampa
                  1992, January-April:  Research associate, Carleton University, Ottawa
                  1993, January-May:  Research associate, Carleton University, Ottawa
                  1994-1995, October-May:  Visiting professor,  Carleton University, Ottawa
                  1995, June-August:  Visiting professor, University of Toronto
                  1995, August-December:  Visiting professor, University of South Florida, Tampa
                  1996-1997, January-May: Visiting professor, Aizona State University, Tempe
                  1997, June-July:  Visiting professor, Mathematical Sciences Research Institute, Berkeley, California

Research interests: Classical analysis and approximation theory, orthogonal polynomials and q-special functions, theory of group representations, integral transformations and their applications in theoretical and mathematical physics; computer algebra and special functions.




List of main publications:

(A) Publications in refereed journals
(B) Conference proceedings
(C) Review articles
(D) Books
(E) Translations
(F) Submitted articles
(G) Papers under preparetion
(H) Webpages design

MathSciNet Mathematical Reviews on the Web: Items Autored by Suslov, S. K.


(A) Publications in refereed journals:

     1. The Clebsch-Gordan coefficients of the group SU(2) and Hahn polynomials, joint with Ya. A. Smorodinskii, Soviet J. Nuclear Phys. 35 (1982)#1, 108-113.
     2. Matrix elements of Lorentz boosts and the orthogonality of Hahn polynomials on a contour, Soviet J. Nuclear Phys. 36 (1982)#4, 621-622.
     3. 6j-symbols and orthogonal polynomials, joint with Ya. A. Smorodinskii, Soviet J. Nuclear Phys. 36 (1982) #4,  623-625.
     4. Rodrigues formula for the Racah coefficients, Soviet J. Nuclear Phys. 37 (1983) #3, 472-473.
     5. The 9j-symbols as orthogonal polynomials in two discrete variables, Soviet J. Nuclear Phys. 38 (1983) #4, 662-663.
     6. The T-coefficients of the "tree" method as orthogonal polynomials of a discrete variable, Soviet J. Nuclear Phys.  38 (1983) #5, 829-834.
     7. The Hahn polynomials in the Coulomb problem, Soviet J. Nuclear Phys. 40 (1984) #1, 79-82.
     8. Clebsch-Gordan coefficients and Racah coefficients for the SU(2) and SU(1,1) groupsas the discrete analogues of the Poschl-Teller potential wave functions, joint with Yu. F. Smirnov and A. M. Shirokov, J. Phys. A17 (1984) #11, 2157-2175.
     9. Classical orthogonal polynomials of a discrete variable and representations of the three-dimensional rotation group, joint with A. F. Nikiforov and V. B. Uvarov, Functional Anal. Appl. 19(1985), 182-193.
    10. The Hahn and Meixner polynomials of an imaginary argument and some of their applications, joint with N. M. Atakishiyev, J. Phys. A18 (1985) #10, 1583-1596.
    11. Classical orthogonal polynomials of a discrete variable on nonuniform lattices, joint with A. F. Nikiforov, Lett. Math. Phys. 11 (1986) #1, 27-34.
    12. Classical orthogonal polynomials of a discrete variable continuous orthogonality relations, Lett. Math. Phys. 14 (1987)#1, 77-88.
    13. Classical orthogonal polynomials in a discrete variable on nonuniform lattices, joint with A. F. Nikiforov and V. B. Uvarov, Soviet Math. Dokl. 34 (1987) #3, 576-579.
    14. About one class of special functions, joint with N. M. Atakishiyev, Rev. Mexicana Fis. 34 (1988) #2, 152-167.
    15. On the moments of classical and related polynomials, joint with N. M. Atakishiyev, Rev. Mexicana Fis. 34 (1988) #2, 147-157.
    16. Continuous orthogonality property for some classical polynomials of a discrete variable,joint with N. M. Atakishiyev, Rev. Mexicana Fis. 34 (1988) #4, 541-563.
    17. Difference analogues of the harmonic oscillator, joint with N. M.Atakishiyev, Theoret. and Math. Phys. 85 (1990) #1, 1055-1062.
    18. A realization of the q-harmonic oscillator, joint with N.M. Atakishiyev, Theoret. and Math. Phys. 87 (1991) #1,  442-444.
    19. On the theory of 9j-symbols, Theoret. and Math. Phys. 88 (1991) #1, 720-724.
    20. On the Askey-Wilson polynomials, joint with N. M. Atakishiyev, Constractive Approximation  8 (1992), 363-369.
    21. The q-harmonic oscillator and an analogue of the Charlier polynomials, joint with R. Askey, J. Phys. A26 (1993), L693-L698.
    22. The q-harmonic oscillator and the Al-Salam and Carlitz polynomials, joint with R. Askey,  Lett. Math. Phys. 29 (1993) #2, 123-132.
    23. The Clebsch-Gordan coefficients for quantum algebra SUq(2), joint with N. M. Atakishiyev, Theoret. and Math. Phys. 98 (1994) #1, 3-11.
    24. The Pearson equation and the beta integrals, joint with M. Rahman, SIAM J. Math. Anal. 25 (1994) #2, 646-693.
    25. Barnes and Ramanujan-type integrals on the q-linear lattice, joint with M. Rahman, SIAM J. Math. Anal. 25 (1994) #3, 1002-1022.
    26. On a general q-Fourier transformation with nonsymmetric kernels, joint with R. Askey and M. Rahman, Journal of Computational and Applied Mathematics 68 (1996),25-55.
    27. A unified approach to the summation and integration formulas for q-hypergeometric functions, I,  joint with M. Rahman, Journal of Statistical Planning and Inference 54 (1996), 101-118.
    28. Some summation theorems and transformations for q-series, joint with M. E. H. Ismail and M. Rahman, Canad. J. Math. 49 (1997), 543-567.
    29. "Addition" theorems for some q-exponential and q-trigonometric functions, Methods and Applications of Analysis 4 (1997), 11-32.
    30. Some orthogonal very-well-posed 8phi7-functions, J. Phys. A: Math. Gen. 30 (1997), 5877-5885.
    31. Basic analog of Fourier series on a q-quadratic grid, joint with J. Bustoz, Methods and Applications of Analysis 5 (1998) #1, 1-38.
    32. Multiparameter Ramanujan-type q-beta integrals, The Ramanujan Journal 2 (1998) #3, 351-369.
    33. A unified approach to the summation and integration formulas for q-hypergeometric functions. II, joint with M. Rahman, Methods and Applicationsof Analysis 5  (1998) #4, 399-412.
    34. A unified approach to the summation and integration formulas for q-hypergeometric functions. III, joint with M. Rahman, Methods and Applicationsof Analysis 5  (1998) #4, 413-424.
    35. Another addition theorem for the q-exponential function, J. Phys. A: Math. Gen. 33 (2000) L375-L380.


(B) Conference proceedings:

     1. Classical orthogonal polynomials of a discrete variable in the theory of group representations,joint with A. F. Nikiforov and V. B. Uvarov, in: Group Theoretical Methods in Physics, Vol. 1-3 (Zvenigorod,1982), Harwood Acad. Publ., Chur, 1985, pp. 87-96.
     2. Classical orthogonal polynomials of a discrete variable on nonuniform lattices, joint with A. F. Nikiforov,  in: GroupTheoretical Methods in Physics, Vol.1 (Yurmala, 1985), VNU Sci. Press, Utrecht, 1986, pp. 505-511.
     3. Representations of SO(3,1) and the Hahn polynomials, joint with N. M. Atakishiyev, in: Group Theoretical Methods in Physics, Vol. 1 (Yurmala, 1985), VNU Sci. Press, Utrecht, 1986,pp. 523-530.
     4. The Charm polynomials, joint with N. M. Atakishiyev and G. I. Kuznetsov, in: Proceedings of the Third International Symposium on Orthogonal Polynomials and Their Applications(Brezinski et al., eds.), J. C. Baltzer A. G., Basel, Switzerland, 1991, pp. 15-16.
     5. Classical biorthogonal rational functions, joint with M. Rahman, in:  Methods of Approximation Theory in Complex Analysis and Mathematical Physics (A. A. Gonchar and E. B. Saff, eds.),Lecture Notes in Math. Vol. 1550, Springer-Verlag, 1993, pp. 131-146.
     6. An analog of the Fourier transformation for a q-harmonic oscillator, joint with R. Askey and N. M. Atakishiyev, in:  Symmetries in Science VI (B. Gruber, ed.), Plenum Press, New York, 1993, pp. 57-63; Preprint IAE-5611/1, Kurchatov Institute, Moscow 1993.
     7. Singular analogue of the Fourier transformation for the Askey-Wilson polynomials, joint with M. Rahman, in: Symmetries and  Integrability of Difference Equations (D. Levi, L. Vinet, and P. Winternitz, eds.),CRM Proceedings & Lecture Notes, Vol. 9, American Math. Society, 1996, pp. 289-302.
     8. Some generating functions for q-polynomials, joint with M. Ismail and D. Masson, in:  Special Functions, q-Series and Related Topics (M. E. H. Ismail, D. R. Masson, and M. Rahman, eds.), Fields Institute Communications, Vol. 14, American Math. Society, 1997,  pp. 91-108.
     9. The q-Bessel functions on a q-quadratic grid, joint with M. E. H. Ismail and D. Masson, in: Algebraic Methods and q-Special Functions (J. F. van Diejen and L. Vinet, eds.), CRM Proceedings & Lecture Notes, Vol. 22, American Math. Society, 1999, pp. 183-200.
    10. Numerical investigation of basic Fourier series, joint with R. Wm. Gosper, in: q-Series from a Contemporary Rerspective (M. E. H. Ismail and D. W. Stanton, eds.), Contemporary Mathematics, Vol. 254, American Math. Soc; 2000, pp. 199-227.


(C) Review articles:

     1. On the theory of difference analogues of special functions ofhypergeometric type, Russian Math. Surveys 44 (1989) #2, 227-278, London Math. Soc.
     2. Difference hypergeometric functions, joint with N. M. Atakishiyev, in: Progress in Approximation Theory: An International Perspective (A. A. Gonchar and E. B. Saff, eds.), Springer Series in Computational Mathematics, Vol. 19, Springer-Verlag, 1992, pp. 1-35.
    3. On the classical orthogonal polynomials, joint with N. M. Atakishiyev and M. Rahman, Constructive Approximation 11 (1995) #2, 181-226.


(D) Books:

     1. Classical Orthogonal Polynomials of a Discrete Variable [in Russian], joint with A. F. Nikiforov and V. B. Uvarov, Nauka, Moscow, 1985; English translation in Springer Series in Computational Physics,Springer-Verlag, 1991.


(E) Translations:

     1. Askey, R. Ramanujan and hypergeometric and basic hypergeometric series [in Russian],translated from English with remark by N. M. Atakishiyev and S. K. Suslov, Uspekhi Mat. Nauk 45 (1990) #1, 33-76; Russian Math. Surveys 45 (1990)#1, 37-86, London Math. Soc.
     2. Gasper, G. and Rahman, M. Basic Hypergeometric Series [in Russian], translated from English by N. M. Atakishiyev and S. K. Suslov, Mir, Moscow, 1993.


(F) Submitted articles:

     1. Some expansions in basic Fourier series and related topics, 47 latex pp., submitted to The Journal of Approximation Theory.
     2. Some orthogonal very-well-poised 8phi7-functions that generalize Askey-Wilson polynomials, 31 latex pp., to appear in the Ramanujan Journal.
     3. Asymptotics of zeros of basic sine and cosine functions,  15 latex pp., submitted to Constructive Approximation.
     4. Basic exponential functions on a q-quadratic grid,  41 latex pp., to appear.
     5. Basic Fourier series and q-Euler polynomials,  21 latex pp., submitted to The Ramanujan Journal.
     6. Completeness of basic trigonometric system in L^p,  16 latex pp., submitted.
     7. A note on completeness of basic trigonometric system in L^2,  10 latex pp., submitted to Rocky Mountain Journal of Mathematics.


(G) Papers under preparation:

      1. Askey-Wilson type operators and their inverses I-III, joint with M. E. H. Ismail and M. Rahman.
      2. An Introduction to Special Functions, 33 latex pages.
      3. Note on a q-Bessel function.


(H) Webpages design:

     1. The Linear Algebra Home Page, Department of Mathematics, Arizona State University. http://www.public.asu.edu/~sergei/linalg/LinAlg.html
     2. The NATO Advanced Study Instituite: Special Functions 2000. http://math.la.asu.edu/~sf2000/index.html



Journals refereed for:

        Canadian Journal of Mathematics, Journal of Approximation Theory, Journal of Computational and Applied Mathematics, Journal of Mathematical Analysis and Applications, Journal of Physics A: Mathematical and General, Methods and Applications of Analysis, Transactions of the American Mathematical Society, Soviet Journalof Nuclear Physics, Theoretical and Mathematical Physics, Russian Mathematical Surveys, Communications in Mathematical Physics.


Agencies refereed for:

       International Science Foundation, National Science Foundation, Natural Sciences and Engineering Research Council of Canada.


Administrative experience:

       A member of the organizing committee for the two-week mini program and workshop in Special Functions, q-Series and Related Topics at The Fields Institute, University of Toronto, June 1995.

       A member of the Calculus/Engineering Liaison Committee and the Web Committee, Department of Mathematics, Arizona State University, 1998-99 academic year.

       A member of the Calculus/Engineering Liaison Committee and Lecturers Evaluation Committee, Department of Mathematics, Arizona State University, 1999-2000 academic year.

        NATO-country co-director of the Advanced Study Instituite "Special Functions 2000", Arizona State University, Tempe, May 29 - June 9, 2000.


Invited addresses:

     1. International Conference on Approximation Theory,
         Tampa, Florida, March 1990, 45 minutes.
     2. The Third International Symposium on Orthogonal Polynomials and their Applications,
         Erice, Italy, June 1990, 45 minutes.
     3. International seminars "Methods of Approximation Theory in Complex Analysis
         and Mathematical Physics",
         Leningrad, May 1991, 45 minutes.
     4. International workshop "Symmetry Methods in Physics"
         (in memory of professor  Ya. A. Smorodinsky),
         Dubna, Russia, July 1993, 35 minutes.
     5. Workshop on Symmetries and Integrability of Difference Equations,
         Esterel, Quebec, May 1994, 45 minutes.
     6. Workshop in Special Functions, q-Series and Related Topics at The Fields Institute,
         University of Toronto, June 1995, 60 minutes.
     7. Workshop on Algebraic Methods and q-Special Functions,
         CRM, Montreal, May 1996, 60 minutes.
     8. Department of Mathematics, Arizona State University,
         Tempe, Arizona, July-August 1996,
         21 lectures on orthogonal polynomials, q-series, and their applications.
     9. PhD Centennial Conference, Department of Mathematics,
         University of Wisconsin-Madison, May 1997, 30 minutes.
   10. A Joint Summer Research Conference: q-Series, Combinatorics and Computer Algebra,
         Mount Holyoke College, South Hadley, Massachusetts, June 1998, 30 minutes.
   11. A Minisymposium "Orthogonal Polynomials; Theory and Applications",
         SIAM Annual Meeting in Atlanta, May 1999, 30 minutes.
   12. International Workshop on Special Functions, Asymptotics, Harmonic Analysis,
         and Mathematical Physics, City Iniversity of Hong Kong, June 21-25 1999,
         30 minutes.
   13. Conference on Symbolic Computation, Number Theory, Special Functions,
         Physics, and Combinatorics, University of Florida, Gainesville,
         November 11-13, 1999, 60 minutes.
   14. NATO Advanced Study Instituite "Special Functions 2000", Arizona State University,
         Tempe, May 29 - June 9, 2000, 60 minutes.
   15. q-Series with Applications to Combinatorics, Number Theory and Physics, University of Illinois at
         Urbana-Champaign, October 26-28, 2000, 30 minutes.
   16. Sixth International Symposium on Orthogonal Polynomials, Special Functions and Applications,
          Roma, Italy, June 18-22, 2001, 60 minutes.
   17. Colloquium talks at several universities.


Memberships:
         The American Mathematical Society and the Society for Industrial and Applied Mathematics.


Special awards and honors:

         1985             First Kurchatov Award to the Young Scientist, Kurchatov Institute, Moscow.
         1994-1995   Foreign Researcher Award of Natural Sciences and Engineering Research Council of Canada.
         1996-1997   General Membership at Mathematical Sciences Research Institute in Berkeley (California).
         1998             Governor's Award for Excellence, State of Arizona. (First Year Mathematics)


Grants:

         1995-1996  International Science Foundation Long-Term Research Grant.
         1998-2001  National Science Foundation Research Grant in the Analysis Program, a continuing three-year grant in the amount of $140,521.00 including support for a graduate student.
         1999-2000 NATO Advanced Study Institute "Special Functions 2000",  NATO-country co-director.
          2000  National Science Foundation Conference Grant "Special Functions 2000: Current Perspective and Future Directions", PI; Joaquin Bustoz and Mourad Ismail co-PIs.



Teaching experience in The United States:

        Fall 1995           University of South Florida:
                                   Brief Calculus I,
                                   Applied Finite Mathematics;
      Spring 1996         Arizona State University:
                                   MAT 272, Calculus III;
                                   MAT 362, Advanced Engineering Mathematics;
      Summer 1996      Arizona State University:
                                   MAT 210, Brief Calculus; two summer sessions;
      Fall 1996            Arizona State University:
                                   MAT 272, Calculus III;
      Spring 1997         Arizona State University:
                                   MAT 271, Calculus II;
      Summer 1997      Arizona State University:
                                   MAT 210, Brief Calculus; one summer session;
      Fall 1997            Arizona State University:
                                 MAT 271, Calculus II;
                                 MAT 242, Elementary Linear Algebra;
                                 MAT 342, Linear Algebra;
      Spring 1998         Arizona State University:
                                 MAT 342, Linear Algebra,
                                 MAT 362, Advanced Engineering Mathematics;
      Summer 1998      Arizona State University:
                                PHY 121/122, University Physics I, 8 week session.
      Fall 1998            Arizona State University:
                                 MAT 370, Intermediate Calculus,
                                 MAT 461, Applied Complex Analysis;
      Spring 1999         Arizona State University:
                                 MAT 342, Linear Algebra,
                                 MAT 494, Mathematics of Quantum Mechanics
      Summer 1999      Arizona State University:
                                 MAT 271, Calculus II, 8 week session,
      Fall 1999           Arizona State University:
                                 MAT 242, Elementary Linear Algebra,
                                 MAT 270, Calculus I,
      Spring 2000       Arizona State University:
                                 MAT 494, Mathematics of Quantum Mechanics.
      Summer 2000      Arizona State University:
                                   PHY 121/122, University Physics I, 8 week session.