Tom Tucker | Colgate University - Faculty Directory

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Tom Tucker

Charles G. Hetherington Professor of Mathematics, Emeritus

Degree

BA, Harvard College, 1967; PhD, Dartmouth College, 1971

Teaching Experience

Dartmouth College, 1978-79; Princeton University, 1971-73

Specialties

Topology, group theory, combinatorics

Interests

Topological graph theory, genus of a group, symmetric maps, distinguishing number, permutation groups, 3-manifolds

Publications

  • Co-author with J. L. Gross, Topological Graph Theory (Wiley, 1987; Dover paperback 2001)
  • Co-author (with many others) of texts of the NSF-supported Harvard Calculus Consortium: Calculus (Wiley, 1994; 5th edition 2009) and Multivariable Calculus (Wiley, 1996; 5th edition 2009)
  • Co-editor with J.L. Gross, L. Beinecke, R. Wilson, Topics in Topological Graph Theory, Cambridge University Press, 2009; includes chapters "Symmetric Maps" (with J, Siran), "The Genus of a Group," and "A Programmatic Overview" (with J.L. Gross)
  • Fifty papers in 21 journals including Transactions of the American Mathematical Society, Annals of Mathematics, Oxford Quarterly Journal, Journal of Combinatorial Theory, Topology, Journal of the European Mathematical Society

Some recent examples:

  • With R. B. Richter, J Siran, R. Jajcay, M Watkins, "Cayley maps,"  J. Combinatorial Th (B)  95 (2005), 189-245
  • With M Conder, R. Jajcay, "Regular Cayley maps for abelian groups", J. Algebraic Combinatorics  25 (2007), 259-283
  • With M. Conder, J Siran, "The genera, reflexibility, and simplicity of regular maps", J. European Math. Soc 12 (2010), 343-364
  • "Distinguishing maps," Electronic J. Comb.  18 (2011), P50
  • With M. Conder, "The spectrum of the symmetric genus," Ars Mathematica Contemporanea,  4 (2011), 271-289
  • With J. L. Gross, "All celtic knots are alternating,"  Discrete and Computational Geom.  46 (2011),  83-96
  • With S. Smith and M Watkins, "Distinguishability of infinite graphs and groups," Electronic J. Comb. 19 (2012), R27
  • With Marston Conder,  "The classification of regular Cayley maps for cyclic groups," Trans. Amer. Math Soc. to appear (28 pages)

Professional Experience

  • New York State Department of Education (Math Standards Committee), 2004-2006
  • National Council of Teachers of Mathematics (Project "Go Figure This"), 1999-2001
  • Institute for Defense Analyses/Communications Research Division, 1974, 1975, 1978, 1979, 1984, 1985
  • Educational Testing Service, 1973-1996
  • College Board, 1979-1995
  • State of New York (BOCES Telelearning Project), 1985-86
  • National Assessment of Education Progress, 1988-1995
  • Consultant to Westat, 1988-90

Distinctions

  • Member, Mathematical Sciences Research Institute, 1996-97
  • First Vice President of the Mathematical Association of America 1990-92, as well as member or chair of numerous MAA committees
  • NSF curriculum grants in calculus, 1988-90, 1989-93, 1993-96
  • NSF research grants in low-dimensional topology, 1976-77, 1980-82, 1986-88
  • Member, College Board Advanced Placement Calculus Committee, 1979-87, 1993-95, (chair 1983-87) and Mathematical Sciences Advisory Committee, 1986-90
  • President of the Calculus Consortium for Higher Education, 1999-2005
  • Colgate Alumni Distinguished Teaching Award, 2009