Positions

Selected Publications

Academic Article

Year Title Altmetric
2018 Complementary components to the cubic principal hyperbolic domainProceedings of the American Mathematical Society.  146:4649-4660. 2018
2017 Non-degenerate locally connected models for plane continua and julia setsDiscrete and Continuous Dynamical Systems - Series A.  37:5781-5795. 2017
2017 Combinatorial models for spaces of cubic polynomialsComptes Rendus- Academie des Sciences Paris Serie 1.  355:590-595. 2017
2017 The parameter space of cubic laminations with a fixed critical leafErgodic Theory and Dynamical Systems.  37:2453-2486. 2017
2016 Laminations from the main cubioidDiscrete and Continuous Dynamical Systems - Series A.  36:4665-4702. 2016
2016 A complete classification of homogeneous plane continuaActa Mathematica.  216:177-216. 2016
2016 Quadratic-Like Dynamics of Cubic PolynomialsCommunications in Mathematical Physics.  341:733-749. 2016
2016 An extended Fatou-Shishikura inequality and wandering branch continua for polynomialsAdvances in Mathematics.  288:1121-1174. 2016
2015 The combinatorial Mandelbrot set as the quotient of the space of geolaminationsContemporary Mathematics, v. 669 (2016), 37-622015
2014 The main cubioidNonlinearity.  27:1879-1897. 2014
2014 Laminational models for some spaces of polynomials of any degree 2014
2013 Laminations in the language of leavesTransactions of the American Mathematical Society.  365:5367-5391. 2013
2013 Fixed point theorems for plane continua with applicationsMemoirs of the American Mathematical Society.  224:1-117. 2013
2013 Cubic critical portraits and polynomials with wandering gapsErgodic Theory and Dynamical Systems.  33:713-738. 2013
2013 Finitely suslinian models for planar compacta with applications to julia setsProceedings of the American Mathematical Society.  141:1437-1440. 2013
2013 A canonical parameterization of paths in $\mathbb{R}^n$ 2013
2012 Density of orbits in laminations and the space of critical portraitsDiscrete and Continuous Dynamical Systems - Series A.  32:2027-2039. 2012
2011 Topological polynomials with a simple core"Frontiers in Complex Dynamics (Celebrating John Milnor's 80th birthday)'', Princeton University Press (2013), 27-472011
2011 Non-degenerate quadratic laminationsTopology Proceedings.  38:313-360. 2011
2011 Characterizing isotopic continua in the sphereProceedings of the American Mathematical Society.  139:1495-1510. 2011
2011 Locally connected models for Julia setsAdvances in Mathematics.  226:1621-1661. 2011
2010 Extending isotopies of planar continuaAnnals of Mathematics.  172:2105-2133. 2010
2010 Monotone images of cremer julia setsHOUSTON JOURNAL OF MATHEMATICS.  36:469-476. 2010
2010 The solar Julia sets of basic quadratic Cremer polynomialsErgodic Theory and Dynamical Systems.  30:51-65. 2010
2009 The julia sets of basic unicremer polynomials of arbitrary degreeConformal Geometry and Dynamics.  13:139-159. 2009
2009 Centerlines of regions in the sphereTopology and its Applications.  156:1776-1785. 2009
2009 Sets of constant distance from a compact set in 2-manifolds with a geodesic metricProceedings of the American Mathematical Society.  137:733-743. 2009
2009 A fixed point theorem for branched covering maps of the planeFundamenta Mathematicae.  206:77-111. 2009
2008 Fixed points in non-invariant plane continua 2008
2008 The plane fixed point problem 2008
2007 Planar finitely suslinian compactaProceedings of the American Mathematical Society.  135:3755-3764. 2007
2007 On open maps between dendritesHOUSTON JOURNAL OF MATHEMATICS.  33:753-770. 2007
2006 On almost one-to-one mapsTransactions of the American Mathematical Society.  358:5003-5014. 2006
2006 The Julia sets of quadratic Cremer polynomialsTopology and its Applications.  153:3038-3050. 2006
2006 Applications of almost one-to-one mapsTopology and its Applications.  153:1571-1585. 2006
2006 Rotational subsets of the circle under zdTopology and its Applications.  153:1540-1570. 2006
2005 Extensions of zero-dimensional dynamical systems and hyperbolic attractorsTopology and its Applications.  152:83-86. 2005
2005 On minimal maps of 2-manifoldsErgodic Theory and Dynamical Systems.  25:41-57. 2005
2004 Wandering triangles existComptes Rendus- Academie des Sciences Paris Serie 1.  339:365-370. 2004
2004 Backward stability for polynomial maps with locally connected Julia setsTransactions of the American Mathematical Society.  356:119-133. 2004
2003 On confluently graph-like compactaFundamenta Mathematicae.  178:109-127. 2003
2002 On mappings which are not semi-conjugate to interval mapsHOUSTON JOURNAL OF MATHEMATICS.  28:807-814. 2002
2002 Homogeneous weak solenoidsTransactions of the American Mathematical Society.  354:3743-3755. 2002
2001 Cantor sets of arcs in decomposable local Siegel disk boundariesTopology and its Applications.  112:315-336. 2001
2000 Confluent images of the hairy arcTopology and its Applications.  105:261-283. 2000
2000 Recurrent critical points and typical limit sets for conformal measuresTopology and its Applications.  108:233-244. 2000
1999 Building blocks for quadratic julia setsTransactions of the American Mathematical Society.  351:1171-1201. 1999
1999 Recurrent critical points and typical limit sets of rational mapsProceedings of the American Mathematical Society.  127:1215-1220. 1999
1996 The geometry of laminationsFundamenta Mathematicae.  151:195-207. 1996
1996 On homogeneous totally disconnected 1-dimensional spacesFundamenta Mathematicae.  150:97-112. 1996
1995 THE HOMEOMORPHISM GROUP OF THE HAIRY ARCCompositio Mathematica.  96:283-292. 1995
1995 CONTINUUM CHAINABILITY WITHOUT ARCSHOUSTON JOURNAL OF MATHEMATICS.  21:407-411. 1995
1994 ON THE DIMENSION OF CERTAIN TOTALLY DISCONNECTED SPACESProceedings of the American Mathematical Society.  122:885-891. 1994
1994 The Dynamics of the Sierpinski CurveProceedings of the American Mathematical Society.  120:965-965. 1994
1994 On the dimension of certain totally disconnected spacesProceedings of the American Mathematical Society.  122:885-891. 1994
1994 The dynamics of the sierpinski curveProceedings of the American Mathematical Society.  120:965-968. 1994
1993 The geometry of julia setsTransactions of the American Mathematical Society.  338:897-918. 1993
1992 Characterization of Separable Metric R-TreesProceedings of the American Mathematical Society.  115:257-257. 1992
1992 A recurrent nonrotational homeomorphism on the annulusTransactions of the American Mathematical Society.  333:865-875. 1992
1992 Characterization of separable metric R-treesProceedings of the American Mathematical Society.  115:257-264. 1992
1992 Universal spaces for R-treesTransactions of the American Mathematical Society.  334:411-432. 1992
1991 On one-to-one continuous images of RTopology and its Applications.  41:17-23. 1991
1991 FACTORIZATIONS OF MAPPINGS THROUGH ARCSHOUSTON JOURNAL OF MATHEMATICS.  17:443-451. 1991
1991 Flowbox manifoldsTransactions of the American Mathematical Society.  327:449-463. 1991
1991 The orientability of matchbox manifolds1Pacific Journal of Mathematics.  150:1-12. 1991
1990 Recurrent Homeomorphisms on ℝ 2 are PeriodicProceedings of the American Mathematical Society.  110:1083-1083. 1990
1990 A CHARACTERIZATION OF SMOOTH CANTOR BOUQUETSProceedings of the American Mathematical Society.  108:529-534. 1990
1990 A characterization of smooth cantor bouquetsProceedings of the American Mathematical Society.  108:529-534. 1990
1990 A topological characterization of r-treesTransactions of the American Mathematical Society.  320:395-415. 1990
1990 On hereditarily decomposable hereditarily equivalent non-metric continuaFundamenta Mathematicae.  136:1-12. 1990
1990 Recurrent homeomorphisms on ℝ2are periodicProceedings of the American Mathematical Society.  110:1083-1088. 1990
1990 The product structure of homogeneous spacesIndagationes Mathematicae.  1:1-5. 1990
1985 Open and monotone fixed point free maps on uniquely arcwise connected continuaProceedings of the American Mathematical Society.  95:476-482. 1985
1983 Subcontinua with degenerate tranches in hereditarily decomposable continuaTransactions of the American Mathematical Society.  278:717-724. 1983
1982 Fixed point sets of products and conesPacific Journal of Mathematics.  101:133-139. 1982
1982 Fixed-point-free maps on tree-like continuaTopology and its Applications.  13:85-95. 1982
1981 On atriodic tree-like continuaProceedings of the American Mathematical Society.  83:201-204. 1981
1980 Every contractible fan is locally connected at its vertexTransactions of the American Mathematical Society.  260:379-402. 1980
1979 Fans and embeddings in the planePacific Journal of Mathematics.  83:495-503. 1979
Extension of isotopies in the plane
Location of Siegel capture polynomials in parameter spaces
Models for spaces of dendritic polynomials
Perfect subspaces of quadratic laminations
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

  • 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
  • MA799 - Dissertation Research (Spring Term 2017) 2017
  • MA125 - Calculus I (Fall Term 2016) 2016
  • MA225 - Calculus I - Honors (Fall Term 2016) 2016
  • MA298 - Research in Mathematics (Fall Term 2016) 2016
  • MA398 - Research in Mathematics (Fall Term 2016) 2016
  • MA498 - Resch in Mathematics - RES (Fall Term 2016) 2016
  • MA692 - Special Topics in Mathematics (Fall Term 2016) 2016
  • MA693 - Special Topics in Mathematics (Fall Term 2016) 2016
  • MA799 - Dissertation Research (Fall Term 2016) 2016
  • MA125 - Calculus I (Summer Term 2016) 2016
  • MA398 - Research in Mathematics (Summer Term 2016) 2016
  • MA498 - Resch in Mathematics - RES (Summer Term 2016) 2016
  • MA671 - Topology II (Summer Term 2016) 2016
  • MA799 - Dissertation Research (Summer Term 2016) 2016
  • MA125 - Calculus I (Spring Term 2016) 2016
  • MA298 - Research in Mathematics (Spring Term 2016) 2016
  • MA398 - Research in Mathematics (Spring Term 2016) 2016
  • MA494 - Special Topics in Mathematics (Spring Term 2016) 2016
  • MA799 - Dissertation Research (Spring Term 2016) 2016
  • MA225 - Calculus I - Honors (Fall Term 2015) 2015
  • MA298 - Research in Mathematics (Fall Term 2015) 2015
  • MA398 - Research in Mathematics (Fall Term 2015) 2015
  • MA491 - Special Topics in Mathematics (Fall Term 2015) 2015
  • MA799 - Dissertation Research (Fall Term 2015) 2015
  • MA125 - Calculus I (Summer Term 2015) 2015
  • MA298 - Research in Mathematics (Summer Term 2015) 2015
  • MA398 - Research in Mathematics (Summer Term 2015) 2015
  • MA444 - Vector Analysis (Summer Term 2015) 2015
  • MA494 - Special Topics in Mathematics (Summer Term 2015) 2015
  • MA544 - Vector Analysis (Summer Term 2015) 2015
  • MA799 - Dissertation Research (Summer Term 2015) 2015
  • MA125 - Calculus I (Spring Term 2015) 2015
  • 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
  • MA794 - Special Topics in Mathematics (Spring Term 2015) 2015
  • MA799 - Dissertation Research (Spring Term 2015) 2015
  • 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
  • MA794 - Special Topics in Mathematics (Spring Term 2014) 2014
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2014) 2014
  • MA126 - Calculus II (Fall Term 2013) 2013
  • MA298 - Research in Mathematics (Fall Term 2013) 2013
  • MA398 - Research in Mathematics (Fall Term 2013) 2013
  • MA594 - Special Topics in Mathematics (Fall Term 2013) 2013
  • MA692 - Special Topics in Mathematics (Fall Term 2013) 2013
  • MA770 - Continuum Theory (Fall Term 2013) 2013
  • 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
  • MA398 - Research in Mathematics (Summer Term 2013) 2013
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2013) 2013
  • MA799 - Dissertation Research (Summer Term 2013) 2013
  • MA125 - Calculus I (Spring Term 2013) 2013
  • MA126 - Calculus II (Spring Term 2013) 2013
  • MA298 - Research in Mathematics (Spring Term 2013) 2013
  • MA498 - Resch in Mathematics - RES (Spring Term 2013) 2013
  • MA694 - Special Topics in Mathematics (Spring Term 2013) 2013
  • MA794 - Special Topics in Mathematics (Spring Term 2013) 2013
  • MA799 - Dissertation Research (Spring Term 2013) 2013
  • MA125 - Calculus I (Fall Term 2012) 2012
  • MA298 - Research in Mathematics (Fall Term 2012) 2012
  • MA398 - Research in Mathematics (Fall Term 2012) 2012
  • MA498 - Resch in Mathematics - RES (Fall Term 2012) 2012
  • MA698 - M Lev Non-Thesis Res (Fall Term 2012) 2012
  • MA792 - Special Topics in Mathematics (Fall Term 2012) 2012
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2012) 2012
  • MA698 - M Lev Non-Thesis Res (Summer Term 2012) 2012
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2012) 2012
  • MA126 - Calculus II (Spring Term 2012) 2012
  • MA126 - Calculus II (Spring Term 2012) 2012
  • MA692 - Special Topics in Mathematics (Spring Term 2012) 2012
  • MA792 - Special Topics in Mathematics (Spring Term 2012) 2012
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2012) 2012
  • MA125 - Calculus I (Fall Term 2011) 2011
  • MA692 - Special Topics in Mathematics (Fall Term 2011) 2011
  • MA792 - Special Topics in Mathematics (Fall Term 2011) 2011
  • 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
  • MA795 - Special Topics in Mathematics (Spring Term 2008) 2008
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2008) 2008
  • MA125 - Calculus I (Fall Term 2007) 2007
  • MA770 - Continuum Theory (Fall Term 2007) 2007
  • MA792 - Special Topics in Mathematics (Fall Term 2007) 2007
  • Education And Training

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

  • Lex Oversteegen
  • Blazerid

  • overstee