Without question, my interests in this deductive science lie squarely in the area of number theory. In particular, I've done research in algebraic number theory, Iwasawa theory, and elliptic curves. Naturally, I also have great inquisitiveness in other topics of number theory, algebra, and algebraic geometry, like continued fractions, K-theory, Dedekind schemes, function field arithmetic, and transcendental numbers. Please see my CV, slides, and papers, for more information. Moreover, I plan on doing research in the connections between number theory and physics as well as continuing research in the mathematics of social justice (i.e., quantifying social and environmental issues related to the unequal distribution of resources: see The Rincon Blog for more details).