Mengyuan Zhang is a PhD student at University of California, Berkeley and is visiting MPI MiS for the summer.
He is interested in algebraic geometry in a broad sense. Recently he used the techique of liaison to give a characterization of eigenschemes of tensors in the plane. This summer, he devotes himself to learning new techniques in real algebraic geoemtry, hoping to gain new insights to a reality problem about eigenschemes. During the upcoming Real Algebraic Geometry workshop, he will present a paper by Scheiderer on the counterexamples to the Helton-Nie conjecture.
Mengyuan enjoys conversations with other memebers at the institute about many other topics in related ﬁelds: the geometry of syzygies, free resolutions, intersection theory, real solutions to systems of equations, and computations in Macaulay2.
June 28, 2017