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