I am a Doctoral candidate in Mathematics and Philosophy at the University of Canterbury, NZ. I will be a Visiting Research Student at the Centre for Philosophy of Natural and Social Sciences (CPNSS) at the London School of Economics (LSE) in 2021. While a lot of my work focuses on the philosophy of mathematical modeling, I am also interested in evaluating the limits of mathematical counterfactuals when applied to non-causal explanations of complex systems and their unificatory power. I work on Unification via Mathematical Explanations where I investigate three broad ways in which mathematical models and explanations can unify disparate physic…
I am a Doctoral candidate in Mathematics and Philosophy at the University of Canterbury, NZ. I will be a Visiting Research Student at the Centre for Philosophy of Natural and Social Sciences (CPNSS) at the London School of Economics (LSE) in 2021. While a lot of my work focuses on the philosophy of mathematical modeling, I am also interested in evaluating the limits of mathematical counterfactuals when applied to non-causal explanations of complex systems and their unificatory power. I work on Unification via Mathematical Explanations where I investigate three broad ways in which mathematical models and explanations can unify disparate physical phenomena: (a) unification via non-causal distinctively mathematical explanations, (b) unification via analogical models and (c) unification with partial structures approach.
My two other areas of active research include:
Understanding a Madhyamaka (Buddhist Philosophy) perspective to Mathematical Structuralism whereby mathematical models are understood as mind-dependent entities.
Building a larger epistemological history of Indian astronomical traditions and contrasting the epistemology of Indian mathematics and Indian philosophy in general with modern Western Philosophy.
