BIOGRAPHICAL
SKETCH
Department of Mathematics 
Tel. 2059342154 
University of Alabama at
Birmingham 
Fax: 2059349025 
Birmingham AL 35294 
Email: mayer@math.uab.edu 
RandolphMacon
College, Ashland, VA 
Philosophy/Physics 
BA, 1967 
University of
Florida, Gainesville, FL 
Philosophy 
MA, 1978 
University of
Florida, Gainesville, FL 
Philosophy
(Logic) 
PhD, 1980 
University of
Florida, Gainesville, FL 
Mathematics 
PhD, 1982 
University of
Saskatchewan, Saskatoon, SK, Canada 
Mathematics 
198284 
Associate Chair, UAB 
1997 – present 
Undergraduate Program Director, UAB 
1996 – present 
Professor of Mathematics, UAB 
1999 – present 
Graduate Program Director, UAB 
1990 – 1996 
Associate Professor, UAB 
1990 – 1999 
Assistant Professor, UAB 
1984 – 1990. 
Visiting Positions: 

Florida 
Spring, 1989 
Virginia Tech 
Winter, 1988 
Lecturer in
Mathematics, Saskatchewan 
1982 – 84 
Adjunct Assistant in
Mathematics, Florida 
Summers, 1982, 1985 
Teacher, Academic Dean, and Principal, Brandon Hall, Atlanta,
GA 
1968 – 77 
1.
B. L. Brechner and J. C. Mayer, Antoine's necklace, or how to
keep a necklace from falling apart, The College Mathematics Journal 19
(1988), 306 – 320. (George Polya Award, MAA, 1989.)
2.
J. C. Mayer, An explosion point for the set of endpoints of the
Julia set of $\lambda\exp(z)$, Ergodic Theory and Dynamical Systems 10
(1990), 177 – 183.
3.
J. C. Mayer and L. G. Oversteegen, A topological
characterization of Rtrees, AMS Transactions 320 (1990), 395 – 415.
4.
J. C. Mayer, Complex dynamics and continuum theory, in the book Continua:
with the Houston Problem Book, ed. H. Cook, et al., Lecture Notes in
Pure and Applied Mathematics 170 (Marcel Dekker, NY, 1995), 133 –
158.
5.
A. M. Blokh, J. C. Mayer, and L. G. Oversteegen, Recurrent
critical points and typical limit sets for rational maps, Proc. Amer. Math.
Soc., 127 (1999), 1215 – 1220.
6.
J. Grispolakis, J. C. Mayer, and L. G. Oversteegen,
Building blocks for quadratic Julia
sets, Trans. Amer. Math. Soc. 351 (1999), 1171 – 1201.
7.
J. M. Malaugh, J. C. Mayer, and D. K. Parris, Distribution of
centers of triangles, Preprint 1999, (undergraduate research paper presented at
national MAA conference).
8.
J. C. Mayer and J. T. Rogers, Jr., Indecomposable continua and
the Julia sets of polynomials, AMS Proceedings 117 (1993), 795 –
802.
9.
J. C. Mayer and J. T. Rogers, Jr., Indecomposable continua and
the Julia sets of polynomials, II, in preparation, 2003.
10.
D. K. Childers, J. C. Mayer, H. M. Tuncali, and E. D. Tymchatyn,
Indecomposable continua and the Julia sets of rational maps, in preparation, 2003.
Alexander Blokh
(UAB) 
Andrew Maner (Boeing) 
Harold Bell (Cincinnati) 
Lex G. Oversteegen
(UAB) 
Douglas Childers (UAB, PhD student) 
James T. Rogers, Jr. (Tulane) 
Robbert Fokkink (Delft) 
Murat Tuncali (Nipissing) 
James Malaugh
(UAB, PhD student) 
E. D. Tymchatyn (Saskatchewan) 
Philosophy PhD
Advisor: Jay J. Zeman (Florida)
Mathematics PhD
Advisor: Beverly L. Brechner (Florida)
PostDoctoral
Advisor: E. D. Tymchatyn (Saskatchewan)
Andrew Maner,
PhD 2000 (Boeing)
James
Malaugh,
PhD expected August 2003 (UAB)
Douglas
Childers, PhD expected 2005 (UAB)
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