Selected Publications

Academic Article

Year Title Altmetric
2019 Extension of isotopies in the plane 2019
2019 Models for spaces of dendritic polynomials 2019
2018 Perfect subspaces of quadratic laminations 2018
2018 Complementary components to the cubic principal hyperbolic domain 2018
2017 Non-degenerate locally connected models for plane continua and julia sets 2017
2017 Combinatorial models for spaces of cubic polynomials 2017
2017 The parameter space of cubic laminations with a fixed critical leaf 2017
2016 Laminations from the main cubioid 2016
2016 A complete classification of homogeneous plane continua 2016
2016 Quadratic-Like Dynamics of Cubic Polynomials 2016
2016 An extended Fatou-Shishikura inequality and wandering branch continua for polynomials 2016
2015 The combinatorial Mandelbrot set as the quotient of the space of geolaminations 2015
2014 The main cubioid 2014
2014 Laminational models for some spaces of polynomials of any degree 2014
2013 Laminations in the language of leaves 2013
2013 Fixed point theorems for plane continua with applications 2013
2013 Cubic critical portraits and polynomials with wandering gaps 2013
2013 Finitely suslinian models for planar compacta with applications to julia sets 2013
2013 A canonical parameterization of paths in $\mathbb{R}^n$ 2013
2012 Density of orbits in laminations and the space of critical portraits 2012
2011 Topological polynomials with a simple core 2011
2011 Non-degenerate quadratic laminations 2011
2011 Characterizing isotopic continua in the sphere 2011
2011 Locally connected models for Julia sets 2011
2010 Extending isotopies of planar continua 2010
2010 Monotone images of cremer julia sets 2010
2010 The solar Julia sets of basic quadratic Cremer polynomials 2010
2009 The julia sets of basic unicremer polynomials of arbitrary degree 2009
2009 Centerlines of regions in the sphere 2009
2009 Sets of constant distance from a compact set in 2-manifolds with a geodesic metric 2009
2009 A fixed point theorem for branched covering maps of the plane 2009
2008 Fixed points in non-invariant plane continua 2008
2008 The plane fixed point problem 2008
2007 Planar finitely suslinian compacta 2007
2007 On open maps between dendrites 2007
2006 On almost one-to-one maps 2006
2006 The Julia sets of quadratic Cremer polynomials 2006
2006 Applications of almost one-to-one maps 2006
2006 Rotational subsets of the circle under zd 2006
2005 Extensions of zero-dimensional dynamical systems and hyperbolic attractors 2005
2005 On minimal maps of 2-manifolds 2005
2004 Wandering triangles exist 2004
2004 Backward stability for polynomial maps with locally connected Julia sets 2004
2003 On confluently graph-like compacta 2003
2002 On mappings which are not semi-conjugate to interval maps 2002
2002 Homogeneous weak solenoids 2002
2001 Cantor sets of arcs in decomposable local Siegel disk boundaries 2001
2000 Confluent images of the hairy arc 2000
2000 Recurrent critical points and typical limit sets for conformal measures 2000
1999 Building blocks for quadratic julia sets 1999
1999 Recurrent critical points and typical limit sets of rational maps 1999
1996 The geometry of laminations 1996
1996 On homogeneous totally disconnected 1-dimensional spaces 1996
1995 THE HOMEOMORPHISM GROUP OF THE HAIRY ARC 1995
1995 CONTINUUM CHAINABILITY WITHOUT ARCS 1995
1994 ON THE DIMENSION OF CERTAIN TOTALLY DISCONNECTED SPACES 1994
1994 The Dynamics of the Sierpinski Curve 1994
1994 On the dimension of certain totally disconnected spaces 1994
1994 The dynamics of the sierpinski curve 1994
1993 The geometry of julia sets 1993
1992 Characterization of Separable Metric R-Trees 1992
1992 A recurrent nonrotational homeomorphism on the annulus 1992
1992 Characterization of separable metric R-trees 1992
1992 Universal spaces for R-trees 1992
1991 On one-to-one continuous images of R 1991
1991 FACTORIZATIONS OF MAPPINGS THROUGH ARCS 1991
1991 Flowbox manifolds 1991
1991 The orientability of matchbox manifolds1 1991
1990 Recurrent Homeomorphisms on ℝ 2 are Periodic 1990
1990 A CHARACTERIZATION OF SMOOTH CANTOR BOUQUETS 1990
1990 A characterization of smooth cantor bouquets 1990
1990 A topological characterization of r-trees 1990
1990 On hereditarily decomposable hereditarily equivalent non-metric continua 1990
1990 Recurrent homeomorphisms on ℝ2 are periodic 1990
1990 The product structure of homogeneous spaces 1990
1985 Open and monotone fixed point free maps on uniquely arcwise connected continua 1985
1983 Subcontinua with degenerate tranches in hereditarily decomposable continua 1983
1982 Fixed point sets of products and cones 1982
1982 Fixed-point-free maps on tree-like continua 1982
1981 On atriodic tree-like continua 1981
1980 Every contractible fan is locally connected at its vertex 1980
1979 Fans and embeddings in the plane 1979
Location of Siegel capture polynomials in parameter spaces
Slices of Parameter Space of Cubic Polynomials

Chapter

Year Title Altmetric
2014 Dynamical cores of topological polynomials.  27-48. 2014
2009 Wandering gaps for weakly hyperbolic polynomials.  139-168. 2009

Teaching Activities

  • MA498 - Resch in Mathematics - RES (Summer Term 2020) 2020
  • MA693 - Special Topics in Mathematics (Summer Term 2020) 2020
  • MA226 - Calculus II - Honors (Spring Term 2020) 2020
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  • MA398 - Research in Mathematics (Spring Term 2020) 2020
  • MA490 - Mathematics Seminar (Spring Term 2020) 2020
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  • MA694 - Special Topics in Mathematics (Spring Term 2020) 2020
  • MA125 - Calculus I (Fall Term 2019) 2019
  • MA225 - Calculus I - Honors (Fall Term 2019) 2019
  • MA298 - Research in Mathematics (Fall Term 2019) 2019
  • MA398 - Research in Mathematics (Fall Term 2019) 2019
  • MA498 - Resch in Mathematics - RES (Fall Term 2019) 2019
  • MA693 - Special Topics in Mathematics (Fall Term 2019) 2019
  • MA792 - Special Topics in Mathematics (Fall Term 2019) 2019
  • MA498 - Resch in Mathematics - RES (Summer Term 2019) 2019
  • MA792 - Special Topics in Mathematics (Summer Term 2019) 2019
  • MA226 - Calculus II - Honors (Spring Term 2019) 2019
  • MA298 - Research in Mathematics (Spring Term 2019) 2019
  • MA398 - Research in Mathematics (Spring Term 2019) 2019
  • MA498 - Resch in Mathematics - RES (Spring Term 2019) 2019
  • MA792 - Special Topics in Mathematics (Spring Term 2019) 2019
  • MA125 - Calculus I (Fall Term 2018) 2018
  • MA125 - Calculus I (Fall Term 2018) 2018
  • MA298 - Research in Mathematics (Fall Term 2018) 2018
  • MA398 - Research in Mathematics (Fall Term 2018) 2018
  • MA498 - Resch in Mathematics - RES (Fall Term 2018) 2018
  • MA693 - Special Topics in Mathematics (Fall Term 2018) 2018
  • MA298 - Research in Mathematics (Summer Term 2018) 2018
  • MA498 - Resch in Mathematics - RES (Summer Term 2018) 2018
  • MA695 - Special Topics in Mathematics (Summer Term 2018) 2018
  • MA298 - Research in Mathematics (Spring Term 2018) 2018
  • MA398 - Research in Mathematics (Spring Term 2018) 2018
  • MA498 - Resch in Mathematics - RES (Spring Term 2018) 2018
  • MA670 - Topology I (Spring Term 2018) 2018
  • MA696 - Special Topics in Mathematics (Spring Term 2018) 2018
  • MA125 - Calculus I (Fall Term 2017) 2017
  • MA225 - Calculus I - Honors (Fall Term 2017) 2017
  • MA298 - Research in Mathematics (Fall Term 2017) 2017
  • MA398 - Research in Mathematics (Fall Term 2017) 2017
  • MA498 - Resch in Mathematics - RES (Fall Term 2017) 2017
  • MA694 - Special Topics in Mathematics (Fall Term 2017) 2017
  • MA298 - Research in Mathematics (Summer Term 2017) 2017
  • MA398 - Research in Mathematics (Summer Term 2017) 2017
  • MA498 - Resch in Mathematics - RES (Summer Term 2017) 2017
  • MA694 - Special Topics in Mathematics (Summer Term 2017) 2017
  • MA126 - Calculus II (Spring Term 2017) 2017
  • MA226 - Calculus II - Honors (Spring Term 2017) 2017
  • MA298 - Research in Mathematics (Spring Term 2017) 2017
  • MA398 - Research in Mathematics (Spring Term 2017) 2017
  • MA498 - Resch in Mathematics - RES (Spring Term 2017) 2017
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  • MA125 - Calculus I (Fall Term 2016) 2016
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  • MA298 - Research in Mathematics (Fall Term 2016) 2016
  • MA398 - Research in Mathematics (Fall Term 2016) 2016
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  • MA799 - Dissertation Research (Fall Term 2016) 2016
  • MA125 - Calculus I (Summer Term 2016) 2016
  • MA398 - Research in Mathematics (Summer Term 2016) 2016
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  • MA671 - Topology II (Summer Term 2016) 2016
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  • MA126 - Calculus II (Spring Term 2015) 2015
  • MA298 - Research in Mathematics (Spring Term 2015) 2015
  • MA398 - Research in Mathematics (Spring Term 2015) 2015
  • MA494 - Special Topics in Mathematics (Spring Term 2015) 2015
  • MA498 - Resch in Mathematics - RES (Spring Term 2015) 2015
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  • MA125 - Calculus I (Fall Term 2014) 2014
  • MA298 - Research in Mathematics (Fall Term 2014) 2014
  • MA398 - Research in Mathematics (Fall Term 2014) 2014
  • MA498 - Resch in Mathematics - RES (Fall Term 2014) 2014
  • MA692 - Special Topics in Mathematics (Fall Term 2014) 2014
  • MA799 - Dissertation Research (Fall Term 2014) 2014
  • MA125 - Calculus I (Summer Term 2014) 2014
  • MA298 - Research in Mathematics (Summer Term 2014) 2014
  • MA398 - Research in Mathematics (Summer Term 2014) 2014
  • MA671 - Topology II (Summer Term 2014) 2014
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2014) 2014
  • MA125 - Calculus I (Spring Term 2014) 2014
  • MA298 - Research in Mathematics (Spring Term 2014) 2014
  • MA398 - Research in Mathematics (Spring Term 2014) 2014
  • MA498 - Resch in Mathematics - RES (Spring Term 2014) 2014
  • MA670 - Topology I (Spring Term 2014) 2014
  • MA792 - Special Topics in Mathematics (Spring Term 2014) 2014
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  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2014) 2014
  • MA126 - Calculus II (Fall Term 2013) 2013
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  • MA792 - Special Topics in Mathematics (Fall Term 2013) 2013
  • MA126 - Calculus II (Summer Term 2013) 2013
  • MA126 - Calculus II (Summer Term 2013) 2013
  • MA298 - Research in Mathematics (Summer Term 2013) 2013
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  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2013) 2013
  • MA799 - Dissertation Research (Summer Term 2013) 2013
  • MA125 - Calculus I (Spring Term 2013) 2013
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  • MA125 - Calculus I (Fall Term 2011) 2011
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  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2011) 2011
  • MA125 - Calculus I (Summer Term 2011) 2011
  • MA792 - Special Topics in Mathematics (Summer Term 2011) 2011
  • MA796 - Special Topics in Mathematics (Summer Term 2011) 2011
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2011) 2011
  • MA126 - Calculus II (Spring Term 2011) 2011
  • MA670 - Topology I (Spring Term 2011) 2011
  • MA692 - Special Topics in Mathematics (Spring Term 2011) 2011
  • MA792 - Special Topics in Mathematics (Spring Term 2011) 2011
  • MA792 - Special Topics in Mathematics (Spring Term 2011) 2011
  • MA125 - Calculus I (Fall Term 2010) 2010
  • MA792 - Special Topics in Mathematics (Fall Term 2010) 2010
  • MA792 - Special Topics in Mathematics (Fall Term 2010) 2010
  • MA498 - Resch in Mathematics - RES (Summer Term 2010) 2010
  • MA770 - Continuum Theory (Summer Term 2010) 2010
  • MA796 - Special Topics in Mathematics (Summer Term 2010) 2010
  • MA125 - Calculus I (Spring Term 2010) 2010
  • MA692 - Special Topics in Mathematics (Spring Term 2010) 2010
  • MA792 - Special Topics in Mathematics (Spring Term 2010) 2010
  • MA125 - Calculus I (Fall Term 2009) 2009
  • MA792 - Special Topics in Mathematics (Fall Term 2009) 2009
  • MA126 - Calculus II (Summer Term 2009) 2009
  • MA490 - Mathematics Seminar (Summer Term 2009) 2009
  • MA590 - Mathematics Seminar (Summer Term 2009) 2009
  • MA696 - Special Topics in Mathematics (Summer Term 2009) 2009
  • MA796 - Special Topics in Mathematics (Summer Term 2009) 2009
  • MA126 - Calculus II (Spring Term 2009) 2009
  • MA792 - Special Topics in Mathematics (Spring Term 2009) 2009
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2009) 2009
  • MA125 - Calculus I (Fall Term 2008) 2008
  • MA494 - Special Topics in Mathematics (Fall Term 2008) 2008
  • MA692 - Special Topics in Mathematics (Fall Term 2008) 2008
  • MA694 - Special Topics in Mathematics (Fall Term 2008) 2008
  • MA792 - Special Topics in Mathematics (Fall Term 2008) 2008
  • MA794 - Special Topics in Mathematics (Fall Term 2008) 2008
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2008) 2008
  • MA126 - Calculus II (Summer Term 2008) 2008
  • MA696 - Special Topics in Mathematics (Summer Term 2008) 2008
  • MA796 - Special Topics in Mathematics (Summer Term 2008) 2008
  • MA692 - Special Topics in Mathematics (Spring Term 2008) 2008
  • MA792 - Special Topics in Mathematics (Spring Term 2008) 2008
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  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2008) 2008
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  • MA792 - Special Topics in Mathematics (Fall Term 2007) 2007
  • Education And Training

  • Doctor of Philosophy in Mathematics, Wayne State University 1978
  • Full Name

  • Lex Oversteegen