Mathematics 295 - ALGEBRAIC STATISTICS FOR COMPUTATIONAL BIOLOGY

Fall Semester 2005

Text

Algebraic Statistics for Computational Biology,
edited by Lior Pachter and Bernd Sturmfels, published by Cambridge University Press (Fall., 2005).

Instructor

Ruriko Yoshida, Assistant Research Professor of Mathematics
  • Office: 222 Physics Building
  • Phone: (919) 660-2827
  • Fax: (919) 660-2821
  • E-mail: ruriko@math.duke.edu
  • Office Hours: TBA
  • Time and Place for Mathematics 295, Fall Semester 2005

  • MWF 11:55 AM - 12:45 PM, ROOM 228E Physics
  • Course Website

               www.math.duke.edu/~ruriko/courses/math295

    Syllabus For Mathematics 295

    We will focus on interactions between the theory of algebraic statistics and the applications of computational biology. Recent work shows that we can apply theory in algebraic statistics to developing algorithms for problems in biology and also problems in computational biology enhance research in algebraic statistics. We will cover mainly Part I, Chapter 1, 2, 3, and 4. If time permits, we will discuss Part II.

    Schedule

    www.math.duke.edu/~ruriko/courses/math295/Schedule.html

    Prerequisites

    Background in discrete applied mathematics. Experience in algebra and/or combinatorics preferred, but not necessary. Familiar with basic biology will be helpful but this is not requirement.

    Grading

    Research project and homework problems.

    Some References

  • R. Durbin, S. Eddy, A. Krogh, G. Mitchison, Biological Sequence Analysis, Cambridge University Press (1998)- Application of graphical models to problems in biological sequence analysis.

  • G. Pistone, E. Riccomagno, H.P. Wynn, Algebraic Statistics: Computational Commutative Algebra in Statistics, CRC Press (2000)- Contingency tables and other applications of algebraic statistics

  • D. Cox, D. O'Shea, J.B. Little, Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, Springer Verlag (1996)- Excellent introduction to concrete algebra.

  • C. Semple, M. Steel, Phylogenetics, Oxford University Press (2004) Mathematical foundations of phylogenetics.

  • Return to: Duke University * Mathematics Department
    ruriko@math.duke.edu
    Last modified: March 14th, 2005