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PhD Student
My research interests lie at the intersection of pure mathematics and theoretical physics. I previously studied supersymmetry; together with colleagues, we examined theories with soft supersymmetry breaking and performed calculations in non-Abelian Yang-Mills theory. We proposed a regularization scheme with which we computed the contribution to the mass renormalization of the gaugino from Nielsen–Kallosh ghost loop diagrams and demonstrated that it vanishes. I then switched to studying theories where more abstract methods can be applied. Together with my advisor, we investigated applications of Deligne categories, which generalize the notion of matrices to complex rank, to the description of the center at the critical level. In the course of this work, it also became clear that these categories allow one to generalize the notion of symmetries in quantum field theory. At present, my research focuses on proving categorical theorems that generalize classical results on symmetries. I am also interested in quantum integrable systems and the dualities that arise between them.
Publications affiliated with ITMP:
