Speaker
Dr. Bharath Sriraman, Professor of Mathematics, Department of Mathematical Sciences, University of Montana - Missoula
Title
Mathematics Seminar Series
Subtitle
The Dialectics of Uncertainty in Mathematics Research
Physical Location
Allen 14
Abstract:
Mathematics as a research domain is characterized by uncertainty- with resolution ranging from the mundane (learning the right technique) to the creative (where something new needs to be invented). The construct of ‘Uncertainty’ in professional mathematics in relation to mathematical creativity is the focus of this talk with specific focus on ‘Big C’ research mathematicians’ conceptions of what uncertainty means and ways in which it influences their research. The talk will report on a 4-year study involving 18 research mathematicians who were at the forefront of their research domains. The study revealed a dialectic or tension between (1) logic versus heuristics (analytic versus synthetic), (2) learner-researcher and researcher-learner transition, (3) axiom tweaking versus constraints. The findings also indicated that textbooks, unexpected moments, risk taking, and a community of support play a crucial role and characterize the interplay of uncertainty with mathematical creativity
Note:
Contact Prof. Shantia Yarahmadian at syarahmadian@math.msstate.edu or (662) 325-7143 for additional information.