Anastasiia Trofimova
Anastasiia Trofimova
I am a postdoctoral researcher in mathematical physics at the Gran Sasso Science Institute (GSSI), specializing in stochastic interacting particle systems, integrable models, and representation theory. My work is inspired by the rich interplay and challenging problems arising at the intersection of these fields.
I got my education in Math departement of NRU Higher School of Economics, Moscow. During my PhD, under the supervision of Prof. Pavel Pyatov, I worked on the classification of low dimensional irreducible representations of the braid group on three strings. Another subject of the research was stochastic integrable particle systems. Together with Alexander M. Povolotsky we studied the particle current for the q-boson zero range and avalanche processes on a ring.
My research interests are representation theory of the braid group and theory of quantum integrable systems, in particular, lattice models of statistical physics and stochastic interacting particle systems.
The directions of my research are
large time behaviour of one-dimensional periodic stochastic interacting models (asymmetric simple exclusion model, q-boson zero range model, asymmetric avalanche model)
behaviour of zero-range process or processes with particles of zero-range type on the open segment
search of relationships between the stochastic interacting models and construction of a new integrable models