Sam Smith

Professor and Chair

Ph.D. University of Minnesota, 1993

B.S.

Offices: Barbelin 228 x1559

Wednesday 12:00-3:00 or by appointment

Chance,
Strategy, and Choice: An Introduction to the Mathematics of Games and Elections,

**Cambridge University Press**, 2015

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

**Articles**

Realizing spaces as classifying spaces,

**Proceedings of the American Mathematical Society, **to appear, with
Gregory Lupton

Gottlieb groups of function spaces,

**Mathematical Proceedings of the Cambridge Philosophical Society, **vol
159, no. 1, (2015), 61-77 with Gregory Lupton

__The effect of cell-attachment on the
group of self-equivalences of an R-localized space__,

**Journal of Homotopy and Related Structures**, vol. 10, no. 3, (2015),
549-564 **with Mahmoud Benkhalifa**

__Rational
homotopy type of the classifying space for fibrewise self-equivalences__,

**Proceedings of the American Mathematical Society**, **vol.141** (2013), 2153-2167 with Urtzi Buijs

__Fibrewise
rational H-spaces__

**Algebraic & Geometric Topology, **vol. 12, no. 3 (2012), 1667-1694
with Gregory Lupton

__Rational
homotopy type of the space of homotopy self-equivalences of a fibration__

**Homotopy, Homology and Applications, **vol. 12, no. 2 (2010), 371-400 with
Yves Felix and Gregory Lupton

From
rational homotopy theory to K-theory for continuous trace algebras,

*Superstrings, geometry, topology, and **C***-algebras**,
***Proceedings of Symposia in Pure Math. **vol 81 (2010), 165-171 with
John Klein and Claude Schochet

Homotopy
theory of function spaces and related topics,

**Contemporary Mathematics**, vol 519 (2010), editor with Yves Felix and
Gregory Lupton

The homotopy
theory of function spaces: A survey,

*Homotopy theory of function spaces and related topics, ***Contemporary
Mathematics**, vol 519 (2010), 3-39

Localization of
grouplike function and section spaces with compact domain,

*Homotopy theory of function spaces and related topics, ***Contemporary
Mathematics**, vol 519 (2010),189-202 with Claude Schochet

__Whitehead
products in function spaces: Quillen model formulae__,

**Journal of the Mathematical Society of Japan **vol 62 (2010), 49-81 with
Gregory Lupton

__Continuous
trace C*-algebras, gauge groups and rationalization__,

**Journal of Topology and Analysis **vol 1 (2009) 261-288 with John Klein
and Claude Schochet

__Banach algebras
and rational homotopy theory__,

**Transactions of the American Mathematical Society **vol. 361 (2009)
267-295 with Gregory Lupton, Christopher Phillips, Claude Schochet

__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

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)

__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,__

*Groups of homotopy self-equivalences and related topics, *

__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 Publications**

__Homotopy theory
of function spaces and related topics__, **Mathematisches
Forschungsinstitut Oberwolfach**, Report 19/2009

__Book review__:
*Algebraic Models in Geometry*, by Yves Felix, John Oprea and Daniel
Tanre, Oxford University Press, 2008

**Journal** **of Geometry and Symmetry in Physics**, vol 13 (2008) 93-97

Innovative
possibilities for undergraduate topology,

**Mathematics Association of America Notes Series, **vol 67 (2005) 81-88

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

*Open
Problems in Rational Homotopy Theory,*

Temple University, Philadelphia, PA, April 2013

*Fibrewise
rational H-spaces,*

Chinese Academy of Sciences, Beijing, China, June, 2012

*Derivations
and function spaces, *

Nankai University Mathematics Seminar, Tianjin, China, June 2012

*Fibrewise
rational homotopy theory, *

Yves Felix Festschrift, Ottawa, Canada, May 2012

*A
Quillen model for the classifying space for fibrewise self-equivalences*

Deformation Theory Seminar, University of Pennsylvania, Philadelphia, PA January 2012

*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

Last Updated 3/15