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

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 Felix and Gregory Lupton

**Articles**

**1.
**Gottlieb groups of
function spaces, submitted, with Gregory Lupton

2.
__The
effect of cell-attachment on the group of self-equivalences of an R-localized
space__,

**Journal of Homotopy and Related
Structures**, to appear, **with Mahmoud Benkhalifa**

3. __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

4.
__Fibrewise rational H-spaces__

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

5.
__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

6. 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

7. The homotopy
theory of function spaces: A survey,

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

8.
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

9.
__Whitehead
products in function spaces: Quillen model formulae__,

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

10.
__Continuous
trace C*-algebras, gauge groups and rationalization__,

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

11.
__Banach algebras
and rational homotopy theory__,

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

12.
__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

13.
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)

14.
__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

15.
__The evaluation
subgroup of a fibre inclusion__,

**Topology and its Applications, **vol 154 (2007) 1107-1118 with Gregory
Lupton,

16.
__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,

17.
__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,

18.
__Cyclic maps in
rational homotopy theory__

**Mathematische Zeitschrift, **vol 249 (2005) 113-124, with Gregory Lupton,

19.
__Rational homotopy type of
classifying spaces for fibrations__,

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

20.
__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

21.
__Rational L.S. category of function
space components for F_0-spaces__,

**Bulletin of the Belgian Mathematical Society**, vol 6 (1999) pg 295-304

22.
__Rational classification of
simple function space components for flag-manifolds__,

**Canadian Journal of Mathematics**, vol 49 (1997) pg 855-866

23.
__A based Federer spectral sequence
and the rational homotopy of function space components__,

**Manuscripta Mathematica**, vol. 93 (1997) pg 59-66

24.
__Rational evaluation
subgroups__,

**Mathematische Zeitschrift**, vol. 221 (1996) pg 387-400

25.
__Postnikov sections of formal and
hyperformal spaces__,

**Proceedings of the American Mathematical Society**, vol. 122 (1994)
893-903.

26.
__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 Felix, John
Oprea and Daniel Tanre, Oxford University Press, 2008

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

3.
Innovative
possibilities for undergraduate topology,

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

4.
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 9/14