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

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 Theory.  World 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