Welcome! I am a PhD student in mathematics. My field of study is Operator Algebras, which, interestingly, makes me an analyst! At times various times, however, I am reluctant to consider myself an analyst, because Operator Algebras doesn't always feel like analysis.
This is a link to my blog containing solutions to past mathematics preliminary exams which were held at Ualbany.
Philosophical Interests: Indispensability arguments for (mathematical) Realism, Epistemology and Metaphysics of Modality/Possibility/Necessity, Truthmaker Theory, Philosophy of Language, explanatory scope/power of Theism, Natural Theology/Atheology, Philosophical Theology, All things Plantinga,
Areas of interest in mathematics/physics: Operator Algebras (more specifically von Neumann Algebras), Model Theory of Operator Algebras, Geometric Group Theory, Algebraic Topology, Quantum Information/Field Theory, Noncommutative Algebraic Geometry
Problems/conjectures I ponder: Connes' Embedding Conjecture, Sofic Group Conjecture, Tsireslon's Problem, Baum-Connes Conjecture, Novikov's Conjecture
Philosophers whose works I am particularly fond of (in no specific order): Saul Kripke, Alvin Plantinga, W.V.O. Quine, Bertrand Russell, GE Moore, GW Leibniz, Rudolf Carnap, Alexander Pruss, Brian Leftow
"Physics is becoming to difficult for the physicists" --David Hilbert
"You have to be fast only to catch fleas." --Israel Gelfand