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Sergei Suslov

Professor
Faculty, TEMPE Campus, Mailcode 1804
Biography

Sergei Suslov studies the mathematical foundations that underlie much of theoretical physics including relativity, quantum mechanics, wave phenomenon, and optics. The mathematical tools involve approximation theory, orthogonal polynomials, theory of group representations, integral transforms and computer algebra systems are used to carry out computations.

Education
  • Ph.D. Kurchatov Institute of Atomic Energy, Moscow, Russia 1986
  • M.Sc. Moscow Institute of Physics and Technology, Russia 1980

 

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; soliton theory; computer algebra and special functions; quantum optics and cavity QED; relativistic wave equations.

Publications
  • S.I. Kryuchkov, N. Lanfear, S.K. Suslov. The role of the Pauli-Lubanski vector for the Dirac, Weyl, Proca, Maxwell, and Fierz-Pauli equations. Physica Scripta (2016).
  • C. Koutschan, E. Suazo, S.K. Suslov. Fundamental laser modes in paraxial optics: from computer algebra and simulations to experimental observations. Applied Physics B: Lasers and Optics (2015).
  •  P.B. Acosta-Humandes, S.I. Kryuchkov, E. Suazo, S.K. Suslov. Degenerate parametric amplification of squeezed photons: explicit solutions, statistics, means and variances. Journal of Nonlinear Optical Physics and Materials (2015).
  • S.I. Kryuchkov, N. Lanfear, S.K. Suslov.  The Pauli-Lubanski vector, complex electrodynamics, and photon helicity. Physica Scripta (2015).
  •  A. Mahalov and S.K. Suslov. Solution of paraxial wave equation for inhomogeneous media in linear and quadratic approximation. Proc. Amer. Math. Soc. (2015).
  • M.A. Herrera-Vadez, S.K. Suslov, J.M. Vega-Guzman. A graphical approach to a model of neuronal tree with a variable diameter. Mathematics (2014).
  • E. Suazo, S.K. Suslov, J.M. Vega-Guzman.  The Riccati system and a diffusion-type equations. Mathematics (2014).
  • C. Koutschan, P. Paule, S. K. Suslov. Relativistic Coulomb integrals and Zeilberger’s holonomic systems approach II,. AADIOS 2012, Lecture Notes in Computer Sciences, Springer-Verlag (2014).
  • P. Paule and S,K. Suslov. Relativistic Coulomb integrals and Zeilberger's holonomic systems approach.I. Computer Algebra in Quantum Field Theory. Springer-Verlag (2013).
  • A. Mahalov and S. K. Suslov. Wigner function approach to oscillating solutions of the 1D-quintic nonlinear Schroedinger equation. Journal of Nonlinear Optical Physics and Materials (2013).
  • A. Mahalov, E. Suazo, S.K. Suslov. Spiral laser beams in inhomogeneous media. Optics Letters (2013).
  • C. Krattenthaler, S.I. Kryuchkov, A. Mahalov, S.K. Suslov. On the problem of electromagnetic-field quantization. International Journal of Theoretical Physics (2013).
  • R. M. Lopez, S. K. Suslov and J. M. Vega-Guzman. Reconstructing the Schroedinger groups. Physica Scripta (2013).
  • R.M. Lopez, S.K. Suslov and J.M. Vega-Guzman. On a hidden symmetry of quantum harmonic oscillators. Journal of Difference Equations and Applications (2013).
  • S.K. Suslov. An analogue of the Berry phase for simple harmonic oscillators. Physica Scripta (2013). (Among top dowloads of Physica Scripta in the first two months after publication.)
  • S.K. Suslov. Mathematics-An Open Access Journal. Mathematics (2013).
  • S.I. Kryuchkov, J.M. Vega-Guzman, S.K. Suslov. The minimum-uncertainty squeezed states for atoms and photons in a cavity. Journal of Physics B (2013). (IOP SELECT and HIGHLIGHT for 2013.)
  • A. Mahalov and S.K. Suslov. An "Airy gun": Self-accelerating solutions of the time-dependent Schrödinger equation in vacuum. Physics Letters A (2012).
  • E. Suazo and S. K. Suslov. Soliton-like solutions for nonlinear Schrödinger equation with variable quadratic Hamiltonians. Journal of Russian Laser Research (2012).
  • S. K. Suslov. On integrability of nonautonomous nonlinear Schrödinger equations. Proc. Amer. Math. Soc., (2012).
  • B. Sanborn, S. K. Suslov, L.Vinet. Dynamical Invariants and the Berry phase for generalized driven harmonic oscillators. Journal of Russian Laser Research (2011).
  • E. Suazo, S.K. Suslov, J.M. Vega-Guzman. The Riccati differential equation and a diffusion-type equation. New York Journal of Mathematics, Vol. 17a (2011).
  • N. Lanfear, R.M. Lopez, S.K. Suslov. Exact wave functions for generalized harmonic oscillators. Journal of Russian Laser Research (2011).
  • R. Cordero-Soto and S.K. Suslov. The degenerate parametric oscillator and Ince's equation. J. Phys. A (2011).
  • R. Cordero-Soto and S.K. Suslov. Time reversal for modified oscillators. Theoretical and Mathematical Physics (2010).
  • R. Cordero-Soto, E. Suazo, S.K. Suslov. Quantum integrals of motion for variable quadratic Hamiltonians. Annals of Physics (2010).
  • S. K. Suslov. Mathematical structure of relativistic Coulomb Integrals. Phys. Rev. A (2010).
  • S.K. Suslov. Dynamical invariants for variable quadratic Hamiltonians. Physica Scripta (2010).
  • S.K. Suslov. Relativistic Kramers-Pasternack recurrence relations. J. Phys. B (2010).
  • M. Simon and S. K. Suslov. Expansion of analytic functions in q-orthogonal polynomials. The Ramanujan Journal (2009).
  • R. M. Lopez and S. K. Suslov. The Cauchy problem for a forced harmonic oscillator. Revista Mexicana de Fisica (2009).
  • R. Cordero-Soto, E. Suazo, S.K. Suslov. Models of damped oscillators in quantum mechanics. Journal of Physical Mathematics, Vol.1 (2009),
  • S.K. Suslov. Expectation values in relativistic Coulomb problems. J. Phys. B (2009).
  • M. Meiler, R. Cordero-Soto, S.K. Suslov. Solution of the Cauchy problem for a time-dependent Schroedinger equation. Journal of Mathematical Physics (2008).
  • R. Cordero-Soto, R.M. Lopez, E. Suazo, S.K. Suslov. Propagator of a charged particle with a spin in uniform magnetic and perpendicular electric fields. Letters in Mathematical Physics (2008).
  • S.K. Suslov and B. Trey. The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems. Journal of Mathematical Physics (2008).
  • K Ey, A Ruffing, S.K. Suslov. Method of separation of the variables for basic analogs of equations of mathematical physics. The Ramanujan Journal (2007).
  • S.K. Suslov. An algebra of integral operators. Electronic Transactions on Numerical Analysis (2007).
  • G. Andrews, G. Gasper, S.K. Suslov, (Eds.) Special volume of The Ramanujan Journal. (2007).
  • S.K. Suslov. An analog of the Cauchy-Hadamard formula for expansions in q-orthogonal polynomials. Springer - Verlag (2005).
  • S.K. Suslov. A note on completeness of basic trigonometric system in L^2. Rocky Mountain J. Math (2003).
  • Sergei Suslov. Asymptotics of zeros of basic sine and cosine functions. J. Approx. Theory (2003).
  • S.K. Suslov. An Introduction to Basic Fourier Series. Kluwer (2003).
  • S.K. Suslov. Some expansions in basic Fourier series and related topics. J. Approx. Theory (2002).
  • J. Bustoz, M.E.H. Ismail, S.K. Suslov (Eds.) Special volume of The Rocky Mountain Journal of Mathematics. (2002).
  • S.K. Suslov. Some orthogonal very-well-posed 8phi7-functions that generalize Askey-Wilson polynomials. The Ramanujan Journal (2001).
  • J. Bustoz, M.E.H. Ismail, S.K. Suslov (Eds.) Special Functions 2000: Current Perspectives and Future Directions. Kluwer (2001)
  • R.Wm. Gosper and S.K. Suslov. Numerical investigation of basic Fourier series. American Math. Soc, Contemporary Mathematics (2000).
  • S.K. Suslov. Another addition theorem for the q-exponential function. J. Phys. A (2000).
Research Activity
  • Roudenko, Svetlana*, Bohner, Martin, Suslov, Sergei K. Conference on Partial Differential Equations (COPDE 2015). NSF-DMS-1535822; Munich, Germany, 25-29th March 2015.
  • Suslov,Sergei K*, Castillo-Chavez,Carlos, Bohner, Martin. Conference on Partial Differential Equations (COPDE 2014). NSF-MPS-DMS(5/1/2014 - 10/31/2014).
  • Castillo-Chavez,Carlos*, Camacho,Erika T, Suslov,Sergei K, Wirkus,Stephen A.. GAANN Fellowships in Applied Mathematics in the Life and Social Sciences. ED-PSE(8/16/2012 - 8/15/2016).
  • Suslov,Sergei K*. The College Experience: From High School to College. RICE UNIVERSITY(1/1/2009 - 5/31/2010).
  • Suslov,Sergei K*, Castillo-Chavez,Carlos. International School on Mathematical Modeling of Nonlinear Phenomena. NSF-MPS(9/1/2004 - 8/31/2005).
  • Suslov,Sergei K*. INTERNATIONAL WORKSHOP ON SPECIAL FUNCTIONS, ORTHOGONAL POLYNOMIALS, QUANTUM GROUPS AND RELATED TOPICS. NSF-MPS(7/1/2003 - 6/30/2004).
  • Suslov,Sergei K*. INTERNATIONAL CONFERENCE, SPECIAL FUNCTIONS 2000: PERSPECTIVE AND FUTURE DIRECTIONS. NSF-MPS(5/1/2000 - 5/31/2001).
  • Suslov,Sergei K*. SPECIAL FUNCTIONS 2000. NATO - SCIENTIFIC AFFAIRS(7/30/1999 - 6/9/2000).
  • Suslov,Sergei K*. BASIC FOURIER SERIES & THEIR EXTENSIONS. NSF-MPS(6/1/1998 - 5/31/2002).
Summer 2018
Course NumberCourse Title
MAT 342Linear Algebra
MAT 495Undergraduate Research
MAT 590Reading and Conference
APM 792Research
Spring 2018
Course NumberCourse Title
MAT 461Applied Complex Analysis
MAT 495Undergraduate Research
APM 792Research
AML 792Research
AML 799Dissertation
APM 799Dissertation
Fall 2017
Course NumberCourse Title
MAT 495Undergraduate Research
MAT 590Reading and Conference
MAT 599Thesis
APM 792Research
Summer 2017
Course NumberCourse Title
MAT 275Modern Differential Equations
MAT 343Applied Linear Algebra
MAT 495Undergraduate Research
MAT 590Reading and Conference
APM 792Research
Spring 2017
Course NumberCourse Title
MAT 460Vector Calculus
MAT 461Applied Complex Analysis
MAT 495Undergraduate Research
MAT 592Research
APM 792Research
AML 792Research
APM 799Dissertation
AML 799Dissertation
Fall 2016
Course NumberCourse Title
MAT 370Intermediate Calculus
MAT 495Undergraduate Research
MAT 590Reading and Conference
APM 792Research
Summer 2016
Course NumberCourse Title
MAT 210Brief Calculus
MAT 495Undergraduate Research
APM 792Research
Spring 2016
Course NumberCourse Title
MAT 461Applied Complex Analysis
AML 792Research
APM 792Research
AML 799Dissertation
APM 799Dissertation
Fall 2015
Course NumberCourse Title
MAT 342Linear Algebra
MAT 590Reading and Conference
APM 792Research
Summer 2015
Course NumberCourse Title
APM 792Research
Spring 2015
Course NumberCourse Title
MAT 461Applied Complex Analysis
APM 792Research
AML 792Research
AML 799Dissertation
Fall 2014
Course NumberCourse Title
MAT 342Linear Algebra
MAT 370Intermediate Calculus
MAT 590Reading and Conference
APM 792Research
Summer 2014
Course NumberCourse Title
APM 792Research
Spring 2014
Course NumberCourse Title
MAT 342Linear Algebra
APM 792Research
AML 792Research
AML 799Dissertation
Fall 2013
Course NumberCourse Title
MAT 275Modern Differential Equations
APM 577Theory Partial Diff Equations
APM 792Research
AML 799Dissertation
Presentations
  • Sergei K. Suslov. Degenerate Parametric Amplification of Multiparameter Squeezed Photons. Simpozij fizikov Univerze v Mariboru- CAMTP, Maribor, Slovenia (Dec 2013).
  • Sergei K. Suslov. On the problem of EM-field quantization. SYMPOSIUM ON DIFFERENTIAL EQUATIONS AND DIFFERENCE EQUATIONS 2013 (Sep 2013).
  • Sergei K. Suslov. On the Problem of Electromagnetic-Field Quantization. Special Pizza-Seminar, IQSE, Texas A&M University, Sept. 16, 2013 (Sep 2013).
  • Sergei K. Suslov. On the Problem of Electromagnetic-Field Quantization. ICSSUR13, 13TH INTERNATIONAL CONFERENCE ON SQUEEZED STATES AND UNCERTAINTY RELATIONS (Jun 2013).
  • Sergei K. Suslov. Rogue Waves: A Linear Approximation. COLLOQUIUM, DEPARTMENT OF MATHEMATICAL SCIENCES, UNIVERSITY OF PUERTO RICO (Mar 2013).
  • Sergei K. Suslov. The Minimum-Uncertainty Squeezed States for Atoms and Photons in a Cavity. Simpozij fizikov Univerze v Mariboru- CAMTP, Maribor, Slovenia (Dec 2012).
  • Sergei K. Suslov. Rogue Waves: A Linear Approximation. Johannes Kepler Universität, Linz, Austria, RISC research institute for symbolic computation, Castle (Dec 2012).
  • Sergei K. Suslov. An Eigenfunction Expansion Related to a Hidden Symmetry of Quantum Harmonic Oscillators. The Gainesville Ramanujan 125 Conference, University of Florida (Nov 2012).
  • Sergei K. Suslov. Hidden Symmetry of Quantum Harmonic Oscillators (Part I), On Integrability of Nonautonomous Nonlinear Schroedinger Equations (Part II). Differential and Difference Equations–SDEDE 2012- Technische Universität München, Novacella, Italy (Oct 2012).
  • Sergei K. Suslov. Hidden Symmetry of Quantum Harmonic Oscillators. Osterseminar 2012- Technische Universität München, Novacella, Italy (Apr 2012).
  • Sergei K. Suslov. On Integrability of Nonautonomous Nonlinear Schroedinger Equations. Rutgers Experimental Mathematics Seminar (Doron Zeilberger) (Mar 2012).
  • Sergei K. Suslov. On the Integrability of Nonautonomous Nonlinear Schrödinger Equations. Interdisciplinary Seminar on Research in the Mathematical Sciences - SIDIM XXVII; University of Puer (Mar 2012).
  • Sergei K. Suslov. Symmetry of Quantum Harmonic Oscillators. Seminar, Ana G. Mendez University System Student Research Development Center (Mar 2012).
  • Sergei K. Suslov. Hidden Symmetry of Quantum Harmonic Oscillators. Ergodic Theory and Statistical Mechanics Seminar (Ya.G. Sinai) - Princeton University (Feb 2012).
  • Sergei K. Suslov. On Integrability of Nonlinear Schroedinger Equations. Analysis Seminar at George Washington University, DC (Nov 2011).
  • Sergei K Suslov. On Integrability of Nonlinear Schroedinger equations. Seminar at RISC, Johannes Kepler Universität Linz, Austria (Oct 2011).
  • Sergei K. Suslov. Dynamic Invariants for Variable Quadratic Hamiltonians. 5th Feynman Festival and International Conference (May 2011).
  • Sergei K. Suslov. Some explicit solutions of the cable equation. Symmetry, Separation, Super-integrability and Special Functions (S4) Conference (Sep 2010).
  • Suslov, Sergei. Dirac's theory of the relativistic electron. Graduate Student Seminar, Department of Mathematics and Statistics, ASU; two lectures (Oct 2006).
  • Suslov, Sergei. Fundamental Equations of Quantum Mechanics, Parts I, II. Analysis and PDE Seminar, Department of Mathematics and Statistics, ASU; two lectures (Oct 2006).
  • Suslov, Sergei. Basic Fourier Series. International Conference on Difference Equations, Special Functions and Applications (Jul 2005).
Honors / Awards
  • 1985 First Kurchatov Award to the Young Scientist, Kurchatov Institute, Moscow (awarded for the first time at Kurchatov Institute for a pure theoretical work).
  • 1994-1995 Forein Researcher Award of Natural Sciences and Engineering, Research Council of Canada.
  • 1996-1997 General Membership at Mathematical Sciences Research Institute in Berkeley (California).
  • 2002 Charles Wexler's Teaching Award for Distinguished Teaching of Mathematics, Department of Mathematics and Statistics, Arizona State University.
  • 2011 Special Recognition from ASU Professor of the Year (top five candidates).
  • 2014 Leonard Euler Prize; 6 September 2014; Homburg/Saar, Germany.
Service
  • Mathematics, Editor-in-Chief (2012 - 2014)
  • Conference on Partial Differential Equations, 28th May - 1st June 2014, Novacella, Italy, One of the organizers (2013 - 2014)
  • Proceedings of the American Mathematical Society, Editor (2011 - 2014)
  • Editorial Boards Committee, American Mathematical Society, member (2011 - 2014)
  • American Mathematical Society, Editorial Boards Committee, member (2011 - 2014)
  • Journal of Difference Equations and Applications, Editor (2008 - 2014)
  • Journal of Modern Physics, Editor (2012 - 2013)
  • Physica Scripta, Referee (2012 - 2012)
  • Europhysics Letters, Referee (2012 - 2012)
  • Journal of Mathematical Analysis and Applications, Reviewer (2012 - 2012)
  • election committee, member (2008 - 2010)
  • Awards Committee, member (2008 - 2010)
  • Award Committee, Member (2008 - 2008)
  • Election Committee, Member (2008 - 2008)
  • The Ramanujan Journal, Guest Editor for Special Issue (2004 - 2007)
  • Undergraduate Committee, Member (2006 - 2007)
  • Award Committee, Member (2006 - 2006)
  • Habilitation Committee for Dr. Andreas Ruffing at Munich University of Technology, member of the committee (2004 - 2006)
  • Scientific Committee for the International Conference on Difference Equations, Special Functions and Applications, Munich, Germany, Member (2005)
  • Graduate committee, Member (2003)
  • International Workshop on Special Functions, Orthogonal Polynomials, Quantum Groups & Related Topics, One of the organizers and editors od the proceedings (2003)
  • Undergraduate committee, Member (2003)