Rate My Professor Arthur Baragar

Baragar is a number theorist with research interests in arithmetic and algebraic geometry, particularly the study of K3 surfaces, including their Picard groups, groups of automorphisms, ample cones, counting rational points or curves with bounded height in orbits, and vector heights and canonical vector heights. These problems connect to counting integer points with bounded height on hyperbolic hypersurfaces, counting lattice points in hyperbolic geometries, and the study of multi-branch linear trees and their Hausdorff dimensions. He maintains interests in classical problems in geometry involving constructions with traditional tools. Baragar authored the textbook A Survey of Classical and Modern Geometries: With Computer Activities (Prentice Hall, 2001), with an updated version available through AMS Open Math Notes (revised 2020). His key publications include "The Ample Cone for a K3 Surface" (Canadian Journal of Mathematics), "On the Unicity Conjecture for Markoff Numbers" (Canadian Mathematical Bulletin, 2018), "A game of packings" with Daniel Lautzenheiser (arXiv, 2020), and "Efficiently Constructing Tangent Circles" (Mathematics Magazine, 2020).