David Matthew Freeman
I am a teacher and researcher in the field of Mathematics. I have taught a variety of courses, ranging from remedial Algebra to Calculus. My research is primarily focused on the geometry of metric spaces in relation to bi-Lipschitz and quasisymmetric mappings. I have also dabbled in the space between math and the visual arts.
PhD in Mathematics, University of Cincinnati Cincinnati, OH, 2009 (Geometric Function Theory)
Bachelor of Science, Indiana University Bloomington, IN, 2004 (Mathematics)
Bachelor of Arts, Indiana University Bloomington, IN, 2004 (Studio Art)
Peer Reviewed Publications
Invertible Carnot Groups. Analysis and Geometry in Metric Spaces 2 (2014), 248-257.
Transitive bi-Lipschitz group actions and bi-Lipschitz parameterizations. Indiana Univ. Math. J. 62 (2013), no. 1, 311-331.
Inversion Invariant Bilipschitz Homogeneity. Michigan Math. J. 61 (2012), no. 2, 415-430.
Unbounded bilipschitz homogeneous Jordan curves. Ann. Acad. Sci. Fenn. Math. 36 (2011), no. 1, 81-99.
Bilipschitz homogeneous Jordan curves, Mobius maps, and dimension. Illinois J. Math. 54 (2010), no. 2, 753-770.
Bilipschitz homogeneity and inner diameter distance. J. Anal. Math. 111 (2010), 1-46.
Epicycloid curves and continued fractions, Journal of Mathematics and the Arts, 11 (2018), no. 2, 100-113.
Generalized Palindromic Continued Fractions, The Rocky Mountain Journal of Mathematics, 48 (2018), no. 1, 219-236.
David Freeman (09-2018. ) Quasi-Mobius Homogeneous Metric Spaces .Geometry of Metric Groups Seminar, University of Jyväskylä.
David Freeman (09-2017. ) Generalized Palindromic Continued Fractions .Special Session on Numbers, Functions, Transcendence, and Geometry - Sectional Meeting of the American Mathematical Society, University of North Texas.
David Freeman (05-2015. ) Inversion Invariant Homogeneous Metric Spaces .Modern Aspects of Complex Geometry: A Conference in Honor of Taft Professor David Minda, University of Cincinnati.
David Freeman (03-2014. ) Invertible Carnot Groups .Special Session on Complex Analysis, Probability, and Metric Geometry - Sectional Meeting of the American Mathematical Society, University of Tennessee.
David Freeman (02-2013. ) Bi-Lipschitz and Quasihomogeneous Parametrizations .Ohio River Analysis Meeting, University of Cincinnati.
David Freeman (11-2013. ) Invertible Carnot Groups .Mathematics Department Colloquium, University of Dayton.
David Freeman (01-2013. ) Inversion Invariant Homogeneous Metric Spaces .Department of Mathematics and Statistics Analysis Seminar, Bowling Green State University.