CURRICULUM VITAE

NAME:                                   Petukhov Alexander



E-mail ADDRESS:                   petukhov@math.uga.edu


DATE OF BIRTH:                   25 June 1960


LANGUAGES:                        English, Portuguese, Russian (native).


CURRENT POSITION:          Assistant Professor,
                                               University of Georgia


PREVIOUS POSITIONS:

               Professor,

                   St.Petersburg State Technical University, 1997 - 2003.
               Associate Professor,
                   St.Petersburg State Marine University, 1995  - 1997.
          Postdoctoral Fellow,
                   St.Petersburg branch of Steklov Mathematical Institute,
                   1992 - 1995.
          Visiting Professor 
                   University of the State Sao Paulo, Brazil, 1994 - 1995.
          Assistant of Professor
                   Dept. of Math.,  St. Petersburg State Technical University,
                   1990 - 1992.
          Research Associate
                   Research Institute "Morphispribor",
                   St. Petersburg, 1982 - 1986 and 1987 -  1990.
                   (Hydroacoustic antennas for submarines)
          Graduate Student,
                   Moscow State University, 1986 - 1987.
          Temporary Research Associate
                   Acoustic Institute, Moscow, 1986.



DEGREES:
           Doctor (Habil.) of Sc. - Mathematics
                   St. Petersburg branch of Steklov Mathematical Institute, 1995.
           Ph.D.  -  Mathematics
                   Moscow  State University, 1988.
           M. Sc. -  Mathematics
                    Moscow State University, 1982.


AREAS OF EXPERTISE:

 

Pure Mathematics:

Modern Harmonic Analysis (including Wavelet Bases and Frames),

General Approximation Theory,

Hausdorff Approximations,  

Functional Analysis.

Applied Mathematics:

Information Theory,

Data Representation and Compressed Sensing,

Error Correcting Codes.

Industrial Mathematics:

Image and Video Compression,  

Digital Film Restoration,

Image and Video Enhancement,

Motion Estimation and Detection,

Fast Algorithms,

Pattern Recognition,

Signal Processing,

Adaptive Multi-element Antennas.

 


TITLE OF LAST THESIS:

                        "The  Hausdorff  Approximations of Functions".


TEACHING EXPERIENCE:     

I Taught all Level Undergraduate Courses:
Analysis, Differential and Integral Equations, Probability  Theory, Linear Algebra and Matrix Analysis, Stochastic Processes, Discrete Mathematics and so on.
Besides, I taught the Graduate Courses:
"The Mathematical  Foundations of Signal Processing",  "Information and Coding Theory", "Wavelets and their Applications", "Data Representation Theory".



SOCIAL ACTIVITY: Organizer of St.Petersburg seminar 
                                    Wavelets and their Applications

                                                      Organizer of 4 international conferences

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