**Research
Activity**

**SCHOLARLY PUBLICATIONS:**

"Self-intersection points of generalized Koch curves" with Michael Cantrell, Fractals 19 (2011), 213-220.

"Generalizations of the Koch curve" with R.B. Darst and T. E. Price, Fractals 16 (2008), 267-274.

"Symmetries of fractal tilings"
with Maria Salcedo, Fractals 16 (2008), 69-78.

**
"**Nanoassembly
of a Fractal Polymer: A Molecular 'Sierpinski
Hexagonal Gasket'" with George R.
Newkome,
Pingshan
Wang, Charles N. Moorefield, Tae
Joon
Cho,
Prabhu
P.
Mohapatra,
Sinan
Li,
Seok-Ho Hwang,
Olena
Lukoyanova, Luis
Echegoyen,
Violeta
Iancu, and Saw-Wai
Hla, Science 312 (23 June 2006), 1782-1785.

**
**"Outer boundaries of self-simlar
tiles," with
S.Drenning, T. Price and R.
Strichartz, Experimental Mathematics, Vol. 14
(2005), No. 2, 199-209.

"Analysis of an irregular Sierpinski triangle," with Matthew C. Palmer, Fractals Vol. 8, No. 1 (2004).

"Determining the area of fractal tilings," with Miyuki Breen, Pi Mu Epsilon Journal, Spring 2003.

"Complex bases and fractal tilings" with Sara Hagey, Mathematical Gazette 85 no. 503 (2001), 194-201.

"Analyzing the Value of a Transitional Mathematics Course" with William A. Blue,
in B. Gold, S. Keith, W. Marion, eds., Assessment Practices in Undergraduate
Mathematics, MAA Notes # 49, Mathematical Association of

"Fractal Tilings in the Plane" Mathematics Magazine, with R.B. Darst and T. E. Price, Vol. 71, No. 1, February, 1998, 12-23.

"Some remarks on the evaluation of ", with T.E. Price, Mathematics Magazine,Vol. 70, No. 1, February 1997, 63-67.

A Transition to Advanced Mathematics by D. Smith, M. Eggen and

"Properties of projections obtained by averaging certain polynomial
interpolants," with T.E. Price, Approximation
Theory,

"Near-best approximation by averaging polynomial interpolants," with T.E Price, IMA Journal of Numerical Analysis 7(1987), 107-122.

"An extension theorem for disjointly additive functionals on Lp," with R.B Darst, Houston Journal of Mathematics 9(1983), 383-386.

"A representation for additive functionals on Lp-spaces," Pacific Journal of Mathematics, 66(1976), 221-234.

**FELLOWSHIPS AND GRANTS:**

NSF-REU: Research Experiences for Undergraduates: Algebra, Number Theory and Applications, 2005-2007.

Summer Research Grant -

MAA/Tensor Grant, June 1998-June 2000.

Summer Research Grant -

Faculty Research Grant,

Educational Research and Development Grant,

Research Challenge Enhancement

Summer Research Grant -

**RESEARCH PROJECTS WITH STUDENTS**

"Random Sierpinski triangles and fractal interpolation" with Samantha Fales.

"Complex bases and fractal tilings", with Sara Leugers.

"Fractal tilings derived from non-integer bases" with Rebecca Brown.

"Analysis of an irregular Sierpinski triangle" with Matthew Palmer.

"Determining the area of fractal tilings" with Miyuki Breen.

"Cystallographic fractal tilings" with Maria Salcedo.

"Iterating Penrose tilings" with Naomi Cummings.

"Self-similar tilings of nilpotent Lie groups" with R. Black, P. Hudelson, L. Lackney and J. Rohal.

"Self-intersection properties of generalized Koch curves" with M. Cantrell and R. Price.

**INVITED PROFESSIONAL PRESENTATIONS**

"Fostering undergraduate research" panel,
ACMS Conference,

"Curious
curves," Ohio MAA, April 2007

"Fractal
tilings of the plane,"

"Preparing for a professional
leave" Ohio NExT, March 2006**.****
**"Fractal
tilings," colloquium,

"Fractal geometry and its applications," induction ceremony,

"Random Sierpinski triangles," Retiring President's Address, Ohio MAA, March 2001.

"Fractal tilings in the
plane",

"Fractal geometry", Arts and Science Honors Colloquium, November,1997 and February, 1995.

"Fractal tilings in the
plane",

"Women in mathematics: balancing the equation", Gender Equity in Secondary
Education,

"Integer matrices and fractal tilings
of the plane",

"Women in Mathematics", Women in Science and Engineering Workshop,
The

"Cantor Sets and Cantor Functions."

"Near-best approximation by averaging polynomial interpolants."
Constructive Function Theory Conference

"Computer science in the high school." Akron Public Schools Teacher In-service Day, October,1983.

"Women and Mathematics."
Math Anxiety Workshop,
The

"Additive
Functionals
on
Lp
, 0 < p < 1." Colloquium at

"Math Anxieties."
Sex Roles and Identities Seminar,
The

"Women and Mathematics."
Akron Public Schools Teacher In-service Day, August, 1979.

**PROFESSIONAL PRESENTATIONS: **

"Calculus
Communication Circles," ACMS Conference, Santa Barbara (

"Calculus
Communication Circles",

"Must the derivative be continuous?" Calculus Communication Circles, October 2008.

"Continuous
images of the Cantor set," Ohio MAA,

"Boundaries of fractal tiles," Ohio MAA,

"Complex bases and fractal
tilings", Ohio MAA,

"Random Sierpinski
triangles and fractal interpolation", AMS/MAA Meeting,

"The
Hausdorff
measure of certain subsets of the Cantor set.",
AMS/MAA Meeting,

"Fractal Tilings in the
plane", Pi Mu Epsilon Conference,

"Analyzing the value of a transitional mathematics course in the undergraduate mathematics program" AMS/MAA Meeting, MAA session on Assessment Programs for the Undergraduate Major, January, 1993, San Antonio.

"Extensions of a theorem of Walsh."

"A look at bridging the gap."
MAA

"Polynomial
interpolants
and least squares approximation."
MAA

"Near-best approximation by averaging polynomial interpolants," MAA Ohio Section Meeting, April 1983,

"Averaging interpolating polynomials."
AMS/MAA Meeting January 1983,

"An extension theorem for additive functionals on Lp."
AMS/MAA Meeting, January, 1981,

"Continuous linear functionals
on Lp-spaces."
AMS/MAAMeeting, January, 1977,

"Some Cantor sets and Cantor functions."
MAA Seaway Section Meeting, November, 1976,

"Linear and nonlinear
functionals
on the spaces
Lp
."
AMS/MAA Meeting, January, 1975,