SAMUEL BRUCE SMITH. Citation For Excellence in Teaching, University of Minnesota, 1993

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1 SAMUEL BRUCE SMITH ADDRESS Department of Mathematics and Computer Science Saint Joseph s University Philadelphia, PA EDUCATION University of Minnesota Ph.D. in Mathematics, June 1993 Thesis: On the Rational Homotopy Theory of Function Spaces Thesis Advisor: Professor Donald W. Kahn Bucknell University B.S. in Mathematics, Summa Cum Laude, May 1988 EXPERIENCE Saint Joseph's University Director of the Honors Program, Fall 2003-present Associate Professor, Fall 2000-present Assistant Professor, Fall 1995-Fall 2000 Washington College, Chestertown, MD Assistant Professor, Fall1993-Spring 1995 AWARDS The University Prize for Teaching, Saint Joseph's University, 2003 The University Prize for Research, Saint Joseph's University, 2002 Project Next Fellow, Mathematics Association of America, 1995 Citation For Excellence in Teaching, University of Minnesota, 1993 Excellent Thesis in Mathematics Award, University of Minnesota, 1993 Phi Beta Kappa, Bucknell University, 1988 The University Prize for Literature, Bucknell University, 1986

2 RESEARCH Refereed Journal Articles Banach algebras and rational homotopy theory, Transactions of the American Mathematical Society to appear with Gregory Lupton, Christopher Phillips, Claude Schochet The evaluation subgroup of a fibre inclusion, Topology and its Applications to appear with Gregory Lupton Cardinality of the set of real functions with a given continuity set, Pi Mu Epsilon Journal to appear with Jiaming Chen (undergraduate math major) Rank of the fundamental group of a component of a function space, Proceedings of the American Mathematical Society to appear with Gregory Lupton Rationalized evaluation subgroup of a map II: Quillen models and adjoints, Journal of Pure and Applied Algebra, 209, (2007), pg with Gregory Lupton Rationalized evaluation subgroup of a map I: Sullivan models, derivations and G-sequences, with Gregory Lupton, Journal of Pure and Applied Algebra, 209, (2007), pg with Gregory Lupton Innovative possibilities for undergraduate topology, Mathematics Association of America Notes, Volume 67, (2005) pg Cyclic maps in rational homotopy theory, Mathematische Zeitschrift, 249, (2005), , with Gregory Lupton Rational type of classifying spaces for fibrations, Proceedings of the Workshop on Groups of Homotopy Self-equivalences and Related Topics, Contemporary Mathematics 274, American Mathematical Society, (2001) pg The rational homotopy Lie algebra of classifying spaces for formal, two-stage spaces Journal of Pure and Applied Algebra vol 160 (2001) pg Rational L.S. category of function space components for F0-Spaces, Bulletin of the Belgian Mathematical Society, 6, (1999) pg

3 Rational classification of simple function space components for flag-manifolds, Canadian Journal of Mathematics, 49, (1997) pg A based Federer spectral sequence and the rational homotopy of function spaces, Manuscripta Mathematica, 93, (1997), pg Rational evaluation subgroups, Mathematische Zeitschrift,, 221, (1996), pg Postnikov sections of formal and hyperformal spaces, Proceedings of the American Mathematical Society, 122, (1994), pg Rational homotopy of the space of self-maps of complexes with finitely many homotopy groups, Transactions of the American Mathematical Society, 342, (1994), pg Articles under review A criteria for components of a function space to be homotopy equivalent, with Gregory Lupton Other Published Work Rationalization of the G-sequence for Gottlieb groups, Proceedings of the International Conference on Homotopy Theory and Related Topics, Korea University, (2005) pg On the Rational Homtopy Theory of Function Spaces, Doctoral Thesis, University of Minnesota, 1993 Rational homotopy theory of function spaces, Technical Report, University of Minnesota, 1991 Mathematical Reviews written for Zentralblatt für Mathematik, Berlin University, Berlin, Germany 1. Maruyama, Ken-ichi $\pi_*$-kernels of Lie groups. (English) Trans. Am. Math. Soc. 358, No.6, (2006). MSC 2000: *55Q05, Reviewer: Samuel Smith 2. Kuribayashi, Katsuhiko; Yamaguchi, Toshihiro, A rational splitting of a based mapping space. (English) Algebr. Geom. Topol. 6, (2006). MSC 2000: *55P62, Reviewer: Samuel Smith

4 3. Yamaguchi, Toshihiro, When is the classifying space for elliptic fibrations rank one?. Bull. Korean Math. Soc. 42, No.3, (2005), Reviewer: Samuel Smith 4. Kamiyama, Yasuhiko, Relationship between polynomials with multiple roots and rational functions with common roots. (English) Math. Scand. 96, No.1, (2005). Reviewer: Samuel Smith 5. Smirnov, V.A., $A_\infty$-structures and differentials of the Adams spectral sequence. (Russian, English) Izv. Math. 66, No.5, (2002); translation from Izv. Ross. Akad. Nauk Ser. Mat. 66, No.5, (2002). Reviewer: Samuel Smith written for Mathematical Reviews, American Mathematical Society, Providence RI 1. Kuhn, Nicholas J. Mapping spaces and homology isomorphisms. With an appendix by Greg Arone and the author. Proc. Amer. Math. Soc. 134 (2006), no. 4, (electronic). (Reviewer: Samuel B. Smith) 2. Félix, Yves; Tanré, Daniel The cohomology algebra of unordered configuration spaces. J. London Math. Soc. (2) 72 (2005), no. 2, (Reviewer: Samuel B. Smith) 3. Félix, Yves; Tanré, Daniel $H$-space structure on pointed mapping spaces. Algebr. Geom. Topol. 5 (2005), (electronic). (Reviewer: Samuel B. Smith) 4. Lee, Dae-Woong Homomorphic images and rationalizations based on the Eilenberg- MacLane spaces. Czechoslovak Math. J. 55(130) (2005), no. 2, (Reviewer: Samuel B. Smith 5. Bullejos, M.; Faro, E.; García-Muñoz, M. A. Postnikov invariants of crossed complexes. J. Algebra 285 (2005), no. 1, (Reviewer: Samuel B. Smith) 55S45 (18B40) 6. Yamaguchi, Toshihiro On the genus of free loop fibrations over $F\sb 0$-spaces. Int. J. Math. Math. Sci. 2004, no , (Reviewer: Samuel B. Smith) 7. Theriault, Stephen D. The 5-primary homotopy exponent of the exceptional Lie group $E\sb 8$. J. Math. Kyoto Univ. 44 (2004), no. 3, (Reviewer: Samuel B. Smith) 8. Rudyak, Yu. B. On sequences ${\rm cat}(f\sp k)$. Topology Appl. 140 (2004), no. 2-3, (Reviewer: Samuel B. Smith) 9. Gatsinzi, J.-B. On the genus of elliptic fibrations. Proc. Amer. Math. Soc. 132 (2004), no. 2, (electronic). (Reviewer: Samuel B. Smith) 10. Cornea, Octav; Lupton, Gregory; Oprea, John; Tanré, Daniel Lusternik-Schnirelmann category. Mathematical Surveys and Monographs, 103. American Mathematical Society, Providence, RI, xviii+330 pp. ISBN: (Reviewer: Samuel B. Smith)

5 11. Ghienne, Pierre On the Mislin genus of symplectic groups. Proc. London Math. Soc. (3) 87 (2003), no. 1, (Reviewer: Samuel B. Smith) 12. Arkowitz, Martin; Stanley, Donald; Strom, Jeffrey The $\scr A$-category and $\scr A$cone length of a map. Lusternik-Schnirelmann category and related topics (South Hadley, MA, 2001), , Contemp. Math., 316, Amer. Math. Soc., Providence, RI, (Reviewer: Samuel B. Smith) 13. Møller, Jesper Michael Rational equivalences between classifying spaces. Math. Z. 241 (2002), no. 4, (Reviewer: Samuel B. Smith) 14. Lechuga, L.; Murillo, A. A formula for the rational LS-category of certain spaces. Ann. Inst. Fourier (Grenoble) 52 (2002), no. 5, (Reviewer: Samuel B. Smith) 15. Lechuga, Luis Computing the Sullivan Milnor-Moore S. S. and the rational LS category of certain spaces. Topology Appl. 125 (2002), no. 3, (Reviewer: Samuel B. Smith) 16. Pavesic, Petar On the group ${\rm Aut}\sb \Omega(X)$. Proc. Edinb. Math. Soc. (2) 45 (2002), no. 3, (Reviewer: Samuel B. Smith) 17. Arkowitz, Martin; Strom, Jeffrey The group of homotopy equivalences of products of spheres and of Lie groups. Math. Z. 240 (2002), no. 4, (Reviewer: Samuel B. Smith) 18. Alexander, James; Jessup, Barry Explicit formulae for the rational L-S category of some homogeneous spaces. J. Pure Appl. Algebra 173 (2002), no. 3, (Reviewer: Samuel B. Smith) 19. Lin, James P. Mod 3 cohomology algebras of finite $H$-spaces. Math. Z. 240 (2002), no. 2, (Reviewer: Samuel B. Smith) 20. Pavesic, Petar Factorization of units and groups of stable homotopy equivalences. J. Pure Appl. Algebra 172 (2002), no. 2-3, (Reviewer: Samuel B. Smith) 21. Kawamoto, Yusuke Higher homotopy commutativity of $H$-spaces with finitely generated cohomology. Pacific J. Math. 204 (2002), no. 1, (Reviewer: Samuel B. Smith) 22. Gu, Zhiming The existence of a kind of bundle map. Sci. China Ser. A 44 (2001), no. 12, (Reviewer: Samuel B. Smith) 23. Langsetmo, Lisa; Stanley, Don Nondurable $K$-theory equivalence and Bousfield localization. $K$-Theory 24 (2001), no. 4, (Reviewer: Samuel B. Smith)

6 24. Ausoni, Christian On the Hurewicz map and Postnikov invariants of $K\Bbb Z$. Cohomological methods in homotopy theory (Bellaterra, 1998), , Progr. Math., 196, Birkhäuser, Basel, (Reviewer: Samuel B. Smith) 25. Kawamoto, Yusuke; Lin, James P. Homotopy commutativity of $H$-spaces with finitely generated cohomology. Trans. Amer. Math. Soc. 353 (2001), no. 11, (electronic). (Reviewer: Samuel B. Smith) 26. Pavesic, Petar On self-maps which induce identity automorphisms of homology groups. Glasg. Math. J. 43 (2001), no. 2, (Reviewer: Samuel B. Smith) 27. Ghorbal, Sonia; Jessup, Barry Estimating the rational LS-category of elliptic spaces. Proc. Amer. Math. Soc. 129 (2001), no. 6, (electronic). (Reviewer: Samuel B. Smith) 28. Yoon, Yeon Soo The generalized dual Gottlieb sets. Topology Appl. 109 (2001), no. 2, (Reviewer: Samuel B. Smith) 29. Fernández-Suárez, Lucía A cancellation theorem for $2$-cones. Bull. Belg. Math. Soc. Simon Stevin 7 (2000), no. 4, (Reviewer: Samuel B. Smith) 30. Arkowitz, Martin; Lupton, Gregory Rational obstruction theory and rational homotopy sets. Math. Z. 235 (2000), no. 3, (Reviewer: Samuel B. Smith) 31. Parent, Paul-Eugène LS category: product formulas. Topology Appl. 106 (2000), no. 1, (Reviewer: Samuel B. Smith) 32. Pavesic, Petar Self fibre homotopy equivalences of fibred products. Topology Appl. 102 (2000), no. 2, (Reviewer: Samuel B. Smith) 33. Kawamoto, Yusuke Loop spaces of $H$-spaces with finitely generated cohomology. Pacific J. Math. 190 (1999), no. 2, (Reviewer: Samuel B. Smith) 34. Ishiguro, Kenshi; Tokuzawa, Maki Unitary groups and pairings of classifying spaces. Hiroshima Math. J. 29 (1999), no. 2, (Reviewer: Samuel B. Smith) 35. Broto, Carlos; Crespo, Juan A. $H$-spaces with Noetherian mod two cohomology algebra. Topology 38 (1999), no. 2, (Reviewer: Samuel B. Smith) 36. Dwyer, William G.; Dror Farjoun, Emmanuel; Ravenel, Douglas C. Bousfield localizations of classifying spaces of nilpotent groups. Proc. Amer. Math. Soc. 127 (1999), no. 6, (Reviewer: Samuel B. Smith) 37. Kudou, Kenji; Yagita, Nobuaki Modulo odd prime homotopy normality for $H$-spaces. J. Math. Kyoto Univ. 38 (1998), no. 4, (Reviewer: Samuel B. Smith)

7 38. Klein, John R. Structure theorems for homotopy pushouts. I. Contractible pushouts. Math. Proc. Cambridge Philos. Soc. 123 (1998), no. 2, (Reviewer: Samuel B. Smith) Lectures 1. Rank of the fundamental groups of a component of a function space with Gregory Lupton Annual Meeting of the American Mathematical Society, New Orleans, January Detecting C*-algebra invariants with rational homotopy theory The Deformation Theory Seminar, University of Pennsylvania, June Banach algebras and rational homotopy theory The Deformation Theory Seminar, University of Pennsylvania, October, Rationalized evaluation subgroup of a map and the rationalized G-sequence International Conference on Homotopy Theory and Related Topics, Korea University, Seoul, Korea February The evaluation subgroup of fibre inclusion International Conference on Homotopy Theory and Related Topics, Hannam University, Korea January Graded Lie derivations, adjoints and a question of Gottlieb The Deformation Theory Seminar, University of Pennsylvania, March Groups and Lie algebras in homotopy theory The Mathematics Seminar Shippensburg University, October Rationalization of the G(ottlieb)-sequence

8 The Deformation Theory Seminar, University of Pennsylvania, June Rational evaluation maps, derivation spaces and the G-sequence for Gottlieb groups Lehigh University Topology and Geometry Conference Bethlehem, PA, June Rationalization of the G-sequence for Gottlieb groups Special Section on Homotopy Theory and Geometric Topology, Southeast Sectional Meeting of the American Mathematical Society, Orlando., November, 2002 with Greg Lupton (presenter) 11. Gottlieb groups and the homotopy Lie algebra, The Mathematics Seminar, Saint Joseph's University, November, Some new results in homotopy theory The Deformation Theory Seminar, University of Pennsylvania, June, Applications of rational derivation algebras in topology and geometry, Cleveland Geometry and Topology Seminar, Case Western Reserve University, March, Function spaces, classifying spaces and the Halperin conjecture for F0-spaces The Deformation Theory Seminar, University of Pennsylvania, July, Rational homotopy Lie algebra of classifying spaces for fibrations Annual Meeting of the American Mathematical Society, New Orleans LA, January, Computing the rational homotopy nilpotence of some spaces of self-equivalences International Workshop on the Space of Self-Equivalences, Gargnano, Italy September, 199

9 17. Modeling topology with algebra The Mathematics Colloquium, Vassar College, May, Algebraic models for rational topology The Mathematics Seminar, St. Joseph's University, February, Rational L.S. category of function spaces Annual Meeting of the American Mathematical Society Baltimore MD January, Sullivan-Haefliger models for mapping spaces for flag manifolds Northeast Sectional Meeting of the American Mathematical Society Lawrenceville, NJ October, Results on function spaces in algebraic topology Sigma Xi Honor Society St. Joseph's University, October, Rational homotopy of mapping spaces The Mathematics Seminar Università di Milano, Italy June, Distinguishing components of function space Annual Meeting of the American Mathematical Society San Francisco, CA January, The Banach-Tarski Paradox The Mathematics Seminar, Washington College, November, Computing rational homotopy of groups of mapping spaces The Homotopy Theory Seminar, University of Minnesota, February, 1993

10 TEACHING New Courses Developed Courses Taught Paradoxes, Problems and Proofs An interdisciplinary Honors course examining the mathematical and philosophical issues arising from the set-theoretic and logical foundations of mathematics team-taught with Dr. Audre Brokes, Department of Philosophy Mathematics of Games and Politics An Honors course covering aspects of probability, game theory, social choice theory and theory of auctions Calculus I-III, Applied Calculus, I, II, Business Math, I, II, Excursions in Mathematics I,II Topics in Contemporary Math, Statistics, Advanced Calculus, Number Theory, Discrete Structures, Linear Algebra, Problem Solving,, Real Analysis, Complex Analysis, Modern Algebra I-II, Mathematical Logic, Topology of Point Sets, Paradoxes Problem and Proofs, Mathematics of Games and Politics, History of Mathematics Honors Theses University Scholar Project, Brittany Fasy in progress Departmental Honors, Justin Day in progress Departmental Honors, Bill Semus Fall 2004-Spring 2005 Independent Studies Topology of Point Sets, Allison Keating Fall 2004 Introduction to Algebraic Topology, Vincent Russo Spring 2003 Introduction to Algebraic Topology, Bill Semus Spring 2001 Topology of Point Sets, Bill Semus Fall 2000 Topology of Point Sets, Harry Smith and Stephen Bochanski Spring 1998 Logic and Number Theory, Harry Smith Summer, Fall 1997 Honors Course Upgrades Modern Algebra II, Julia Fox and Brittany Fasy Spring 2006 Real Analysis, Jimaing Chen Fall 2005 Modern Algebra I, Bridget Zachwieja Spring 1998 Real Analysis, Shannon McCall Spring 1998

11 Undergraduate Research: Papers, Lectures and Presentations Student: Brittany Fasy Summer 2006-present Some algebraic classification problems arising from the homotopy theory of function spaces, University Scholar Project, in progress Student: Justin Day Summer 2006-present Foundations and applications of game theory, Departmental Honors Thesis, in progress Student: Joseph McPeak Summer 2006 Impossibility theorems in social choice theory paper, in progress SJU Summer Scholar Undergraduate Research Grant Students: Julia Fox and Brittany Fasy Spring 2006 Realization of groups as semi-direct products, paper, in progress Realizability problems in group theory conference lecture Spring Meeting of the EPADEL Section of the Mathematics Association of America Shippensburg State University, April 2006 (Brittany Fasy) seminar presentation Institute for Advanced Study, Summer REU, Student Research Talks Princeton, NJ, May 2006 (Brittany Fasy) Math Awareneness Day, SJU March 2003 Student: Jiaming Chen Fall Summer 2006 Cardinalitiy of the set of real functions with a given continuity set, paper submitted for publication to the Pi Mu Epsilon Journal Discontinuity sets and cardinalitity seminar presentation, Math Awareness Day, SJU, March 2006 poster presentation, Scholarship Day, SJU, February, 2006

12 Student: Vincent Russo Spring 2003 Covering spaces of topological groups poster presentation, Sigma Xi Research Symposium, SJU, April 2003 Student: Kathleen Ryan Spring 2003 Induction Proofs with Topological Groups, seminar presentation, Math Awareness Day, SJU, March 2003 Student: Bill Semus Fall Spring 2001 Realization problems in group theory and topology, Departmental Honors Thesis. Spring 2001 On the structure of automorphism groups for finite groups, paper, Spring 2001, unpublished Realization problems in group theory and topology, poster presentation, Sigma Xi Research Symposium, SJU, April 2001 Students: Tracey Beinhauer, Noelle Orlando Spring 2001 Bill Semus and Louis Simone Classification of groups of order 12 (Tracey Beinhauer) Classification of groups of order 2p 2 (Noelle Orlando) Classification of groups of order 30 (Bill Semus) Classification of groups of order 4p (Louis Simone) seminar presentations, Math Awareness Day, SJU March, 2001 Students: Austin Ament and Scott Harvey Spring 2001 Construction Problems and Field Theory poster presentation, SJU Scholarship Day, April 2001

13 Students: Stephen Bochanski and Harry Smith Fall 1998 Algorithms for Classifying Surfaces I: Orientable Surfaces (Stephen Bochanski) Algorithms for Classifying Surfaces II: The General Case (Harry Smith) conference lectures* Annual Meeting of the Mathematical Association of America, Toronto, July 1998 *These lectures won the Pi Mu Epsilon Award for Best Student Presentations. Algorithms for Classifying Surfaces (Stephen Bochanski) poster presentation, Sigma Xi Research Symposium, April 1998 Student: Bridget Zachwieja Fall 1998 Deriving Cyclotomic Polynomials Poster Presentation, Sigma Xi Research Symposium, SJU, April1998 Student: Shannon McCall Fall 1998 The Need for Uniform Convergence and Applications poster presentation, Sigma Xi Research Symposium, SJU, April 1998 Student: Harry Smith Spring 1997-Fall 1998 Two Applications of Diophantine Equations conference lecture Annual Meeting of the Mathematical Association of America, Atlanta, GA, July 1997 conference lecture Moravian College, Student Mathematics Conference, Moravian College, Bethlehem, PA February, 1998 poster presentation, Sigma Xi Research Symposium, SJU April 1998

14 SERVICE Leadership positions Writer of the Working Group on General Education (WGGE) Report, Summer 2006 Facilitator of the SJU Teaching Institute Workshop on Interdisciplinary Teaching, Spring 2006 Director of the Honors Program, Fall 2003-present Chair of the Honors Committee, Fall 2003-present Co-coordinator Honors Program Review, Summer 2006-present Co-Chair of the General Education Requirement (GER) Committee, Fall 2003-Fall 2004 Secretary of Academic Policies and Procedures (APP), Fall 2002-Spring 2003 Invited Consultant for Project NeXT, Mathematics Association of America, Fall 2003-present Chair of the Mathematics Curriculum Committee, Fall 2000-Spring 2004 Chair of the Mathematics Hiring Committee, Fall 2006-present Treasurer of Phi Beta Kappa (PBK), Spring 2000-present Member of Phi Beta Kappa SJU Application Committee, Spring 1998-Spring 2000 Chair of the Elections Committee, Fall 1999-Spring 2000 Co-Chair of the Elections Committee, Fall 1998 Summer 1999 President of the Sigma Xi Honor Society, Fall l998- Spring 1999 Member of the Planning Committee for first SJU Scholarship Day Spring 1999

15 Other Service Member, Faculty Senate, Fall 2006-present Member, WGGE, Spring 2004-present Member, APP committee, Fall 2002-Spring 2006 Member, GER committee, Fall 2001-present Member, Elections committee, Spring Spring 2000 Member, ad hoc committee on SJU evaluation instrument, Fall 2000-Spring 2002 Member, PBK student selection committee, Spring 2000-present Member, Sigma Xi grant selection committee, Spring, Spring, 2002 Member, Scholarship Day Planning Committee, Spring,1998- Spring, 2002 Faculty Marshall, SJU graduation, Spring, 1999 Member, Math Department Hiring Committee for Tenure Track Lines, Fall 1995-Spring 1996, Fall 1996-Spring 1997, Fall 1998-Spring-1999, Fall 2001-Spring 2002, Fall 2003-Spring 2004, Fall 2006-present Course Coordinator for Topics in Contemporary Math, Spring, 2002-present for Business Mathematics, Fall 1998-Spring 2000 Departmental Liason to Mathematical Association of America, 2002-present Coordinater of the SJU Mathematics Seminar, Fall Spring 1997 Advisor to mathematics majors, Fall 1993-present

16 References Professor Martin A. Arkowitz Department of Mathematics Dartmouth College Hanover, NH Professor Daniel H. Gottlieb Department of Mathematics Purdue University West Lafayette, IN Professor John McCleary Department of Mathematics Vassar College Poughkeepsie NY Professor John Oprea Department of Mathematics Cleveland State University Cleveland, OH Professor James D. Stasheff Department of Mathematics University of North Carolina Chapel Hill, NC Professor Peter Webb School of Mathematics University of Minnesota Minneapolis, MN 55455

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