I work in fields ranging from algebraic geometry, commutative algebra to representation theory where a main interest is D-module theory. Problems are taken from mathematical physics, and in particular conformal field theory, where for instance so-called minimal models (classifying critical 2-dimensional statistical mechanical systems) can be described as certain smooth D-modules. Another interest related to physics is quantum integrable systems and its spectral theory.Here are some key words: modules over Lie algebroids on singular spaces, regular singularities, lifting derivations, homological dimension, Kashiwara´s conjecture, principal parts, compactification of quantum systems. inference.
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