Professional Summary
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 (bi-)Lipschitz geometry of metric spaces. I am also interested in connections between math, history, philosophy, and the arts.
Education
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)
Publications
Peer Reviewed Publications
Freeman D.M. (2011). Unbounded bilipschitz homogeneous Jordan curves. Annales Academiae Scientiarum Fennicae Mathematica, 36 (1) , 81More Information
Freeman D.M. (2013). Transitive bi-Lipschitz group actions and bi-Lipschitz parameterizations. Indiana University Mathematics Journal, 62 (1) , 311More Information
Freeman D.; Gartland C. (2023). Lipschitz functions on unions and quotients of metric spaces. Studia Mathematica, 273 (1) , 29More Information
Freeman D.M. (2017). Epicycloid curves and continued fractions. Journal of Mathematics and the Arts, 11 (2) , 100More Information
Freeman D.M. (2014). Invertible carnot groups. Analysis and Geometry in Metric Spaces, 2 (1) , 248More Information
Freeman D.M. (2010). Bilipschitz homogeneous Jordan curves, Möbius maps, and dimension. Illinois Journal of Mathematics, 54 (2) , 753More Information
Freeman D.M. (2022). A Belief Expressionist Explanation of Divine Conceptualist Mathematics. Metaphysica, 23 (1) , 15More Information
Freeman D.; Le Donne E. (2021). Toward a quasi-Möbius characterization of invertible homogeneous metric spaces. Revista Matematica Iberoamericana, 37 (2) , 671More Information
Freeman D.M. (2012). Inversion invariant bilipschitz homogeneity. Michigan Mathematical Journal, 61 (2) , 415More Information
Freeman D.M.; Herron D.A. (2010). Bilipschitz homogeneity and inner diameter distance. Journal d'Analyse Mathematique, 111 (1) , 1More Information
Freeman D.M. (2018). Generalized palindromic continued fractions. Rocky Mountain Journal of Mathematics, 48 (1) , 219More Information
Freeman D.; Gartland C. (2023). Lipschitz functions on quasiconformal trees. Fundamenta Mathematicae, 262 (2) , 153More Information
Presentations
Invited Presentations
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.