Sam Smith

Professor and Chair

Ph.D. University of Minnesota, 1993

B.S. Bucknell University, 1988

Offices: Barbelin 228 x1559

Tuesday, Thursday 12:30- 2:00, Wednesday 12:00-1:00
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, **vol.
144, no. 8, (2016), 3619-3633 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

*Two Realization Problems for Self-Equivalences
in Rational Homotopy Theory,** *

Deformation Theory Seminar, University of Pennsylvania, August 2016

*Function Spaces and Classifying Spaces for Fibrations,*

Summer School on Rational Homotopy Theory, Rabat, Morocco, July, 2016

*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