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

Fall 2008

Honors 1483 Mathematics of Games and Politics

Game Theory Lecture Notes

Math 2091 Real Analysis
Math 2441 Combinatorics and Graph Theory

Spring 2008

Math 1251 Applied Calculus I

Math 2651 Problem Solving Capstone

Office Hours

Offices: Barbelin 212 x1559

Monday 12:00-1:00, Tuesday 1:00-3:15 Thursday 2:15-3:15 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.

Articles:

In Press

Banach algebras and rational homotopy theory,
Transactions of the American Mathematical Society with Gregory Lupton, Christopher Phillips, Claude Schochet

In Print

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
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
The evaluation subgroup of a fibre inclusion,
Topology and its Applications, vol 154 (2007) 1107-1118 with Gregory Lupton,
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,
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,
Cyclic maps in rational homotopy theory
Mathematische Zeitschrift, vol 249 (2005) 113-124, with Gregory Lupton,
Rational homotopy type of classifying spaces for fibrations,
Contemporary Mathematics vol 274 (2001) pg 299-307
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
Rational L.S. category of function space components for F_0-spaces,
Bulletin of the Belgian Mathematical Society, vol 6 (1999) pg 295-304
Rational classification of simple function space components for flag-manifolds,
Canadian Journal of Mathematics, vol 49 (1997) pg 855-866
A based Federer spectral sequence and the rational homotopy of function space components,
Manuscripta Mathematica, vol. 93 (1997) pg 59-66
Rational evaluation subgroups,
Mathematische Zeitschrift, vol. 221 (1996) pg 387-400
Postnikov sections of formal and hyperformal spaces,
Proceedings of the American Mathematical Society, vol. 122 (1994) 893-903.
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 Published Work

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
Rationalization of the G-sequence for Gottlieb groups (published lecture)
Proceedings of the International Conference on Homotopy Theory and Related Topics,
Korea University (2005), 87-97
Innovative possibilities for undergraduate topology,
Mathematics Association of America Notes Series, vol 67 (2005) 81-88

Recent Lectures

· 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