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Patrick D. Shanahan
Associate Professor
Department of Mathematics





Contact Information


    Department of Mathematics
    Loyola Marymount University
    1 LMU Drive, MS 2700 
    Los Angeles, CA 90045
    email: pshanahan@lmu.edu
    phone: (310)338-7466
    office: University Hall 2716

Courses for Summer Session II 2007

    Math 102/103 Quantitative Skills for the Modern World

Office Hours for Summer Session II 2007
Monday
3:00-3:50
Tuesday
3:00-3:50
Wednesday
3:00-3:50
Thursday
3:00-3:50
Friday


Current Math 103 Lab

   
Download this file for instructions to the lab:  Lab # 5, Instructions
   
   
Download this spreadsheet to use for the lab:  SavingsandLoans.xls

    Download these files to see what completed lab looks like:  Amortization.pdf     Twin1.pdf     Twin2.pdf

Research Interests
   
    Geometric topology, knot theory, hyperbolic geometry, and representation theory


Publications
  1. Three-dimensional representations of punctured torus bundles. Brian Mangum, co-author.  J. Knot Theory and its Ramifications 6.6 (1997) pp. 817-825.

  2. Cyclic Dehn surgery and the A-polynomial.  Topology and its Applications 108 (2000) pp. 7-36.

  3. Trace fields of twist knots. Jim Hoste, co-author.  J. Knot Theory and its Ramifications 10.4 (2001) pp. 625-639.

  4. A First Course in Complex Analysis with Applications.  Dennis Zill, co-author.  Jones and Bartlett Publishers.  Boston (2003).

  5. A formula for the A-polynomial of twist knots.  Jim Hoste, co-author.  J. Knot Theory and its Ramifications 13.12 (2004) pp. 193-209.

  6. Commensurability classes of twist knots.  Jim Hoste, co-author.  J. Knot Theory and its Ramifications 14.1 (2005) pp. 1-10.  arXiv:math.GT/0311051

  7. Remarks on some hyperbolic invariants of 2-bridge knots.  Jim Hoste, co-author.  Physical and Numerical Models in Knot TheoryWorld Sci. Pub. Series on Knots and Everything.  Singapore. (2005) pp. 581-596.

  8. Computing boundary slopes of 2-bridge links. Jim Hoste, co-author.  Mathematics of Computation 76 no. 259 (2007) pp. 1521-1545.   arXiv:math.GT/0505442.

  9. Boundary slopes of 2-bridge links determine the crossing number. Jim Hoste, co-author.  Kobe J. of Math 24 (2007) pp. 21-39 arXiv:math.GT/0603206.
Computer Programs
Boundary slopes of 2-bridge links is a computer program written with Jim Hoste which implements our algorithm developed in the paper Computing boundary slopes of 2-bridge links.
   

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