Sam Smith

Professor

Department of Mathematics and Computer Science

Saint Joseph's University


Ph.D. University of Minnesota, 1993
B.S. Bucknell University, 1988

Courses

Spring 2010

Fall 2009

    Game Theory Lecture Notes

 

Office Hours

Offices: Barbelin 212 x1559

Monday 12:00-1:00, Tuesday 1:00-4:00 or by appointment

Research

My research interests are in rational homotopy theory. I am working on various collaborative projects studying the rational homotopy theory of function spaces.

In April, 2009, I co-organized (with Yves Félix  and Gregory Lupton) an Oberwolfach workshop entitled “Homotopy theory of function spaces and related topics”.

Here is a link to some photographs from the conference.  Here is the conference report.

Articles:

Submitted 

In Press 

 In Print

  1. Whitehead products in function spaces: Quillen model formulae,
    Journal of the Mathematical Society of Japan vol 62 (2010), 49-81 with Gregory Lupton
  2. Continuous trace C*-algebras, gauge groups and rationalization,
    Journal of Topology and Analysis vol 1 (2009) 261-288 with John Klein and Claude Schochet
  3. Banach algebras and rational homotopy theory,
    Transactions of the American Mathematical Society vol. 361 (2009) 267-295 with Gregory Lupton, Christopher Phillips, Claude Schochet
  4. Book review: Algebraic Models in Geometry, by Yves Félix, John Oprea and Daniel Tanré,  Oxford University Press, 2008 
    Journal of Geometry and Symmetry in Physics,  vol 13 (2008) 93-97
  5. A criteria for components of a function space to be homotopy equivalent ,
    Mathematical Proceedings of the Cambridge Philosophical Society     vol 145, (2008)  95--106 with Gregory Lupton
  6. Cardinality of the set of real functions with a given continuity set,
     Pi Mu Epsilon Journal,  vol 12, no. 8, (2008) 449-454 with Jiaming Chen
  7. Rank of the fundamental group of any component of a function space,
    Proceedings of the American Mathematical Society vol 135 (2007)  2649-2659 with Gregory Lupton
  8. The evaluation subgroup of a fibre inclusion, 
    Topology and its Applications, vol 154 (2007) 1107-1118 with Gregory Lupton,
  9. Rationalized evaluation subgroups of a map II: Quillen models and adjoints,  
    Journal of Pure and Applied Algebra, vol 209 (2007), 173-188 with Gregory Lupton, 
  10. Rationalized evaluation subgroups of a map I: Sullivan models, derivations and G-sequences
    Journal of Pure and Applied Algebra, vol 209 (2007), 159-171 with Gregory Lupton, 
  11. Rationalization of the G-sequence for Gottlieb group, (published lecture)
    Proceedings of the International Conference on Homotopy Theory and Related Topics,
    Korea University  (2005), 87-97
  12. Cyclic maps in rational homotopy theory
    Mathematische Zeitschrift, vol 249 (2005) 113-124, with Gregory Lupton,
  13. Innovative possibilities for undergraduate topology,
    Mathematics Association of America Notes Series, vol 67 (2005) 81-88
  14. Rational homotopy type of classifying spaces for fibrations,
    Contemporary Mathematics vol 274 (2001) pg 299-307
  15. The rational homotopy Lie algebra of classifying spaces for formal, two-stage spaces,
    Journal of Pure and Applied Algebra vol 160 (2001) pg 333-343
  16. Rational L.S. category of function space components for F_0-spaces,
    Bulletin of the Belgian Mathematical Society, vol 6 (1999) pg 295-304
  17. Rational classification of simple function space components for flag-manifolds,
    Canadian Journal of Mathematics, vol 49 (1997) pg 855-866
  18. A based Federer spectral sequence and the rational homotopy of function space components,
    Manuscripta Mathematica, vol. 93 (1997) pg 59-66
  19. Rational evaluation subgroups,
    Mathematische Zeitschrift, vol. 221 (1996) pg 387-400
  20. Postnikov sections of formal and hyperformal spaces,
    Proceedings of the American Mathematical Society, vol. 122 (1994) 893-903.
  21. Rational homotopy of the space of self-maps of complexes with finitely many homotopy groups,
    Transactions of the American Mathematical Society, vol. 342 (1994) 895-915.

Recent Lectures

·         Why gauge groups are rationally abelian,

Tetrahedral Topology and Geometry Seminar, Lancaster, PA  April 2009

·         Gauge groups and related objects in rational homotopy theory,

Special Session on Homotopy Theory, AMS Central Sectional Meeting, Kalamazoo, MI,  October 2008

·         Actions of the space of self-equivalences on the components of a function space,

International Conference on Self-Equivalences and Related Topics, Halifax, Canada,  June 2008

·         Rank of the fundamental group of any component of a function space,

Winter Meeting of the American Mathematical Society, New Orleans, January 2007

·         Detecting C*-algebra invariants with  rational homotopy theory

The Deformation Theory Seminar, University of Pennsylvania, June, 2006

·         Banach algebras and rational homotopy theory

The Deformation Theory Seminar, University of Pennsylvania, October, 2005

·         Rationalized evaluation subgroups of a map and the rationalized G-sequence

International Conference on Homotopy Theory,  Korea University, Seoul, Korea, February 2005

·         The evaluation subgroup of a fibre inclusion,

International Homotopy Theory Conference, Hannam University, Korea, January 2005

·         Rational Lie derivations, adjoints and a question of Gottlieb

The Deformation Theory Seminar, University of Pennsylvania, March 2004

 Links

 

 

 

Last Updated 1/10