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Tom Tucker

Charles G. Hetherington Professor of Mathematics
Mathematics , 208 McGregory Hall
p 315 2287738

Degree

BA Harvard College 1967; PhD Dartmouth College 1971

Teaching Experience

Dartmouth College 1978-79; Princeton University 1971-73

Specialities

Topology, group theory, combinatorics

Interests

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

Publications

Coauthor with J. L. Gross, Topological Graph Theory (Wiley, 1987; Dover paperback 2001)

Coauthor (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)

Coeditor 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