Andrej Cherkaev Home Page

Andrej V. Cherkaev, Professor
Department of Mathematics
155 S 1400 E 
University of Utah,
Salt Lake City, Utah 84112 U.S.A.
email: cherk@math.utah.edu
phone : +1 801 - 581 6822, 
          +1 801-581 6851 (secretary),
fax : +1 801 - 581 4148
Research Interest 
  • Calculus of variations, especially nonconvex problems with unstable solutions.
  • Structural optimization.
  • Bounds for effective properties of composites. Homogenization.
  • Dynamics of systems from bistable elements 
  • Physics and mechanics of heterogeneous bodies.
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    I teach:
    in the Fall 2023          

  • MATH  3010-001  History of Mathematics
    Syllabus

    • in the Spring 2024  

  •  MATH  5500-001 and 6880-001 Calculus of Variations

    • Links

    Math. Genealogy  Math Search Library Math. Review; WP: Micro-Mech  Units
    AMS  SIAM ISSMO  Math World  Math history  Babel Fish

    Publications

    List of publications: Full text of the majority of publications is posted in Researchgate
     
     

    Books

    Variational methods for Structural Optimization
     Andrej Cherkaev, 
    Springer 2000 
    Topics in mathematical modeling of composite materials
    Andrej Cherkaev and Robert Kohn editors, 
    Birkhauser, 1997

    My database 2000: References to sources in structural optimization, variational problems, etc. More than 1,200 references in BibTeX format.
     
     

    Internet-based projects:


    Internet-based supplement to mathematical courses: Collaborative project with Elena Cherkaev and Bob Palais  (in progress)
    MathMat  Mathematics of materials and structures (in progress)

    Math onLine
      There are some mathematical problems with an elegant yet
      unexpected solution that fit well in the cartoon scheme:
      The search for the solution can be graphically presented in a series
      of pictures. Look how simple and beautiful the problems are!

      Andrej & Elena

      www publications

      Do it yourself! Find the effective properties of structures and the fields in them! The project by Andrej Cherkaev (theory) and Seoubpong Leelavanishkul (implementation, web design, interactive features)

      MathComics

       

      Why these spirals? 

      "Unifying Themes for Undergraduate Math Online"

                             by Bob Palais, Andrej Cherkaev and Elena Cherkaev

      MathComics by Elena and Andrej Cherkaev

      Minimax problems
      Just games
      Recreational math
      An important part of professional education.