Professor Look gives invited presentation on mathematics education and publishes new research.
The Randolph Lecture in Mathematics Education is an invited lecture given at the fall meetings of the Seaway Section of the Mathematical Association of America. Dr. Look was selected as this year’s speaker and gave his presentation, “’Rethinking Assessment to Increase Student Engagement and Preserve Instructor Sanity.” In this talk, Dr. Look discusses alternatives to current grading and assessment practices. Link to the conference website: https://maaseaway.org/meetings/home/2023/fall
Look also published “A Bounded Sequence of Bitranstive and Capture Sierpinski Carpet Julia Sets for 3-Circle Inversion,” (Fundamenta Mathematicae, 262 (2023), 205-220). In this paper Dan creates a map by combining simple geometric actions generated by circle inversion and proves the existence of a bounded sequence of parameter values for which the Julia set, which is the locus of mathematical chaos, that are each Sierpinski Carpets. Link to paper abstract: https://www.impan.pl/en/publishing-house/journals-and-series/fundamenta-mathematicae/all/262/3/115111/a-bounded-sequence-of-bitransitive-and-capture-sierpinski-carpet-julia-sets-for-3-circle-inversions
Look received his PhD from Boston University studying Complex Dynamics, and he currently serves as the Rutherford Professor of Mathematics at St. Lawrence University. His research includes the dynamics of rational functions (with a particular interest in Sierpinski curve Julia sets and Julia sets related to the geometric action of circle inversion), text mining/stylometry, popular culture uses of mathematics in early 20th century pulp fiction, and mathematics pedagogy. Among other work, he has performed stylometric analyses of Robert E. Howard’s Conan stories and their various pastiches and written about H. P. Lovecraft’s use of non-Euclidean geometry for an invited paper in Lovecraft Annual.
Daniel LookRutherford Professor of Mathematics
Dr. Look does research on complex dynamical systems, text mining, and uses of mathematics in popular culture.