Department of Mathematics and Philosophy

Fedor Andreev

Fedor Andreev
Department of Mathematics and Philosophy



Ph.D., St. Petersburg Steklov Mathematical Institute

B.S., St. Petersburg State University

Contact Information:

(309) 298-2362
484 Morgan Hall 


Spring 2018 Office Hours:

Monday: 12:00-1:00 & 3:45-4:45
Wednesday: 3:00-4:00
Friday: 9:00-10:00

Courses Taught:

Math 100: Core Competency in Mathematics
Math 123: Modeling with Mathematical Functions
Math 137: Applied Calculus I
Math 391: Writing in the Mathematical Sciences
Math 407: Number Theory Concepts in School Mathematics
Math 411: Geometry
Math 433: Complex Variables and Applications
Math 481: Numerical Analysis I
Math 552: Scientific Computing
Math 652: Computational Differential Equations
Math 699: Advanced Special Topics

Research Interests:

  • Scientific computing with GPU (DirectX, DirectCompute, OpenGL/OpenCL)
  • Polynomiography (see
  • Fractals and fractal visualization; Schottky groups
  • Integrable systems and differential equations in complex plane
  • Painlevé  equations

Apps Published:

Selected Publications:

  • Andreev, F. (2006). Direct computation of the monodromy data for P6 corresponding to the quantum colohomology of the projective plane. Houston Journal of Mathematics, Vol. 32, No. 1, p. 59-77.
  • Andreev, F. & Kalantari, I. (2012). Collinearity of iterations and real plane algebraic curves. Voronoi Diagrams in Science and Engineering (ISVD), p. 126-131.
  • Andreev, F., Kalantari, B., & Kalantari, I. (2004). Animation of mathematical concepts using polynomiography. Proceeding SIGGRAPH '04, ACM SIGGRAPH, Educators program, p. 27. (
  • Andreev, F., Auckly, D., Gosavi, S., Kapitanski, L., White, W., & Kelkar, A. (2002). Matching, linear systems, and the ball and beam. Automatica, Volume 38, Issue 12, p. 2147-2152.
  • Andreev, F., & Kitaev, A. (2000). Connection formulas for asymptotics of the fifth Painlevé transcendent on the real axis. Nonlinearity, 13, p. 1801-1840.


  • Workshop: From Continuous to Fractal: Exploring and Root Finding, at a DIMACS International Workshop on Algorithmic Mathematical Art: Special Cases and Their Applications, Rutgers University, NJ, May, 2009. Abstract available at: Entire presentation is available on Rutgers' channel on YouTube:
  • Presentation: Quadratics over Quaternions and Their Fractal Visualization, at the ISMAA (Illinois Section of the Mathematical Association of America) meeting at North Central College, Naperville, IL, 2011.
  • Presentation: Visualizing Mobius Transformations and Plane Tilings, at the ISMAA (Illinois Section of the Mathematical Association of America) meeting at Knox College, Galesburg, IL, 2005.