Sam Smith

Professor

Department of Mathematics

Saint Joseph's University


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

Courses

Spring 2012

Math 132 Mathematics of Games and Politics

Math 404 Modern Algebra II

Office Hours

Offices: Barbelin 247 x1559

Monday 11:00-1:00, Tuesday 1:00-4:00 or by appointment

Research

I am working on various collaborative projects studying rational homotopy theory and function spaces.

Edited Book

Homotopy theory of function spaces and related topics,
Contemporary Mathematics, vol 519 (2010), editor with Yves Félix  and Gregory Lupton

 

Articles

In Press

Rational homotopy type of the classifying space for fibrewise self-equivalences,
to appear in Proceedings of the American Mathematical Society, with Urtzi Buijs

In Print          

  1. Rational homotopy type of the space of self-equivalences of a fibration
    Homology, Homotopy and Applications v    ol. 12 (2010), no. 2, 371-400 with Yves Félix  and Gregory Lupton
  2. From rational homotopy to K-theory for continuous trace algebras,
    Proceedings of Symposia in Pure Mathematics,  vol. 81, (2010), 165-171 with John Klein and Claude Schochet
  3. The homotopy theory of function spaces: A survey,
    Contemporary Mathematics, vol 519 (2010),  3-39
  4. Localization of grouplike function and section spaces with compact domain,
    Contemporary Mathematics, vol 519 (2010), 189-202 with Claude Schochet
  5. Whitehead products in function spaces: Quillen model formulae,
    Journal of the Mathematical Society of Japan vol 62 (2010), 49-81 with Gregory Lupton
  6. Continuous trace C*-algebras, gauge groups and rationalization,
    Journal of Topology and Analysis vol 1 (2009) 261-288 with John Klein and Claude Schochet
  7. Banach algebras and rational homotopy theory,
    Transactions of the American Mathematical Society vol. 361 (2009) 267-295 with Gregory Lupton, Christopher Phillips, Claude Schochet
  8. 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
  9. 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
  10. The evaluation subgroup of a fibre inclusion, 
    Topology and its Applications, vol 154 (2007) 1107-1118 with Gregory Lupton,
  11. 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, 
  12. 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, 
  13. Cyclic maps in rational homotopy theory
    Mathematische Zeitschrift, vol 249 (2005) 113-124, with Gregory Lupton,
  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.

 

Other Publications

  1. Homotopy theory of function spaces and related topics, Mathematisches Forschungsinstitut Oberwolfach, Report 19/2009
  2. 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
  3. 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 (undergraduate math major)
  4. Innovative possibilities for undergraduate topology,
    Mathematics Association of America Notes Series, vol 67 (2005) 81-88
  5. 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

Recent Lectures

·         Algebraic models for function spaces

Drexel University Mathematics Colloquium, Philadelphia, PA  March 2010

·         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

 Links

 

 

 

Last Updated 11/11