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Welcome to my page.
LD-224R
Dept. of Math. Sci.
I U P U I
Indianapolis, IN 46202
(317) 278-6977
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I am an associate professor at IUPUI.
My research focuses on combinatorial aspects of complex dynamics
and their applications to topological, geometric and group theoretic
problems.
- Teaching.
- Publications:
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"A new partition identity coming from complex
dynamics".
(With G. Andrews)
Ann. Comb,
9 #3, (2005),
pp. 245–257.
-
"A count of maximal small copies in Multibrot
sets".
(With A. Bridy)
Nonlinearity,
18 #5, (2005),
pp. 1945–1953.
-
"Quadratic polynomials and combinatorics of the
principal nest".
Indiana Univ. Math. J,
54 #6, (2005),
pp. 1661–1695.
-
"On the Growth of Iterated Monodromy
Groups".
(With K.-U. Bux)
Contemp. Math. 394,
(2006),
pp. 61–76.
-
"Compositions versus cyclic
compositions".
JP J. Algebra Number Theory Appl,
12 #1, (2008),
pp. 41–48.
-
"Real saddle-node bifurcation from the complex
viewpoint".
(With M. Misiurewicz)
Conf. Geom. Dyn,
12, (2008),
pp. 97–108.
-
"Existence of limit cycles in the repressilator
equations".
(With O. Buse and A. Kuznetsov)
Internat. J. Bifur. Chaos Appl. Sci. Engrg,
19 #12, (2009),
pp. 4097–4106.
-
"Dynamical properties of the repressilator
model".
(With O. Buse and A. Kuznetsov)
Phys. Rev. E,
81 066206, (2010).
-
"A brief but historic article of
Siegel".
Notices Amer. Math. Soc.
58 #4, (2011),
pp. 558–566.
- Book review:
"Early Days in Complex Dynamics: a History of Complex Dynamics in One Variable During 1906–1942"
(by D. S. Alexander, F. Iavernaro and A. Rosa)
Bull. Amer. Math. Soc. (N.S.),
50 #3, (2013),
pp. 503–511.
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"Control of cancellations that restrain the growth
of a binomial recursion".
(With M. Aspenberg)
Submitted.
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