LMU_logo


Patrick D. Shanahan
 
Professor of Mathematics





Contact Information


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

Courses for Spring 2010

    Math 132 Calculus II

Office Hours for Spring 2010
Monday
1:00-2:00
Tuesday
1:00-3:00
Wednesday
1:00-2:00
Thursday
none
Friday
12:00-1:00

Research Interests
   
    Geometric topology, knot theory, and hyperbolic geometry


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.

  10. A First Course in Complex Analysis with Applications 2nd edition.  Dennis Zill, co-author.  Jones and Bartlett Publishers.  Boston (2009).

  11. Student Study Guide to accompany A First Course in Complex Analysis with Applications.  Jones and Bartlett Publishers.  Boston (2010).

  12. Drawing a triangle on the Thuston model of hyperbolic space.  Curtis Bennett and Blake Mellor, co-authors.  To appear in Mathematics Magazine. (2010).

  13. Epimorphisms and boundary slopes of 2-bridge knots.  Jim Hoste, co-author. Preprint.                    

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.
   

LMU homepage
College of Science and Engineering
Mathematics Department