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My specialty is algebraic geometry. This means, roughly, the study of the geometric properties of solutions of systems of algebraic equations. What I love about this subject is the interplay among geometry, algebra, analysis, and number theory. I am especially interested in applying differential and integral calculus in an algebraic setting. I am also involved in "logarithmic geometry," which is a systematic way of dealing with two important phenomena in mathematics: compactification and degeneration. Currently I am studying various aspects of algebraic differential equations, especially differential equations modulo p and differential equations with log poles. |
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