Experimental discovery has long played an important role in research mathematics, even before the advent of modern computational tools. Many methods of antiquity are familiar to all of us, including the drawing of pictures to gain geometric insights and exhaustively solving similar problems in order to identify patterns. I will share a variety modern computational tools and techniques which I have used for my research at CARMA. The contexts of the discoveries will be varied -- including number theory, geometry, complex analysis, and optimization -- and so the emphasis will be on the strategies employed rather than specific outcomes.
Scott B. Lindstrom received his master's degree from Portland State University. In September, 2015, he came to CARMA Priority Research Centre at University of Newcastle as a PhD student of Jonathan Borwein. Following Professor Borwein's untimely passing, he has continued as a student of Brailey Sims, Heinz H. Bauschke, and Bishnu P. Lamichhane. In October he will start a research position Hong Kong Polytechnic University. His principal area of investigation is experimental mathematics with particular emphasis in convex analysis and nonlinear optimization. He is a member of the AustMS special interest group Mathematics of Computation and Optimization (MoCaO).