Patrick D. Shanahan
 Professor of Mathematics

Contact Information

    Department of Mathematics
    Loyola Marymount University
    1 LMU Drive, MS 2700 
    Los Angeles, CA 90045

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 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.
   
   
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