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Evelyn Hart

Professor of Mathematics, Chair of Mathematics
Mathematics , 315 McGregory Hall
p 315 2287736

Degree

 BA Middlebury College 1982; PhD University of Wisconsin-Madison 1991

Teaching Experience
Courses taught at Colgate:

First Year Seminar on Symmetry, Introduction to Statistics, Calculus I and II,
Foundations of Mathematics, Number Theory and Mathematical Reasoning,
Applied Mathematics in the Social Sciences, Probability and Statistics I and II,
Linear Algebra, Abstract Algebra I, Topology, Undergraduate Mathematics Seminar

Other teaching experience:

Director, Colgate Study Abroad Program in Wales, spring 2004
Assistant Professor, Hope College 1991-95
Project Director, REU summer program at Hope College 1994
Teaching Assistant, University of Wisconsin - Madison 1984 - 1991
Teacher, Georgetown Day High School 1982-84

Interests

 Nielsen fixed point theory, algebraic topology, helping students with the transition from high school to college math classes.

Publications

 "Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles, I," joint with P. Heath and E. Keppelmann, Fundamenta Mathematicae, 200 (2008), 101-132.

"Reidemeister conjugacy for finitely generated free fundamental groups," Fundamenta Mathematicae, 199 (2008) 93--118.

" The Nielsen number for free fundamental groups and maps without remnant," joint with S. Kim, Journal of Fixed Point Theory and Applications, 2 (2007) 261--275. pdf file

"Nielsen periodic point theory for periodic maps on orientable surfaces," joint with E. Keppelmann, Topology and its Applications, 153 (2006) 1399--1420.

"Algebraic techniques for calculating the Nielsen number on hyperbolic surfaces," an invited chapter in Handbook of Topological Fixed Point Theory, edited by R.F. Brown, M. Furi, L. Gorniewicz, and B. Jiang, Springer, 2005, 463--487.

"Explorations in Nielsen periodic point theory for the double torus," joint with E. Keppelmann, Topology and its Applications, 95 (1999) 1--30. pdf file

"The Reidemeister trace and the calculation of the Nielsen number," Nielsen Theory and Reidemeister Torsion, Banach Center Publications, Polish Academy of Sciences, 49 (1999) 151--157.

"Computation of Nielsen numbers for maps of closed surfaces," joint with O. Davey and K. Trapp, Transactions of the AMS, 348 (1996) 3245--3266.
(Davey and Trapp were REU students working with me at Hope College during the summer of 1994.)


Other papers in Topology and its Applications and in The Fibonacci Quarterly.