Mura Yakerson
Welcome to my home page!
I'm a Hermann-Weyl-Instructor at ETH Zürich,
at the Institute for Mathematical Research (FIM).
My mentor is Rahul Pandharipande.
The focus of my research is motivic homotopy theory,
which applies powerful methods of algebraic topology
to shed light on mysteries of algebraic geometry.
I did my PhD under supervision of Marc Levine
at the
Duisburg-Essen University.
And here is a story how my PhD program started: Jail-dreaming
"The more I learned, the more conscious did I become of the fact that I was ridiculous. So that for me my years of hard work at the university seem in the end to have existed for the sole purpose of demonstrating and proving to me, the more deeply engrossed I became in my studies, that I was an utterly absurd person."
Fyodor Dostoevsky, The Dream of a Ridiculous Man
My News
- It's bragging time: someone was awarded SwissMAP Innovator Prize 2021, for her joint work on Hilb(A∞)!
- On my YouTube channel "Math-life balance" I post my interviews with colleagues about their experience in math.
New interviews appear on Fridays at 6 pm CEST!
-
New paper: hermitian K-theory obtains a new geometric model (which works even
in characteristic 2).
- On September 10th I will give a talk at Stanford Algebraic Geometry seminar.
Abstract: In this talk, we will speak about algebraic K-theory of vector bundles twisted by a Brauer class, and its place in motivic homotopy theory. In particular, we will discuss a new approach to the motivic spectral sequence for twisted K-theory, constructed earlier by Bruno Kahn and Marc Levine. The talk is based on joint work in progress, with Elden Elmanto and Denis Nardin.
- On September 16th I will give a talk at the Nonlinear Algebra seminar in MPI MiS Leipzig.
Title: The beauty of the beast: the Hilbert scheme of infinite affine space
Abstract: Various invariants have been computed for Hilbert schemes of surfaces, however our knowledge about Hilbert schemes (of points) of higher dimensional schemes is quite limited. In particular, Hilbert schemes of n-dimensional affine spaces have very complicated geometry for high n. In this talk we will discuss the homotopy type of the Hilbert scheme of infinite dimensional affine space, which turns out to be surprisingly simple. We will also mention the motivation for this result, coming from algebraic K-theory. Based on joint work with Marc Hoyois, Joachim Jelisiejew, Denis Nardin, and Burt Totaro.
Events
- In October-November I will take part in "Moduli and Algebraic Cycles" at the Mittag-Leffler Institute.
- In June-July 2022 I will be part of "K-theory, algebraic cycles and motivic
homotopy theory" at the Newton Institute.
- ICM 2022 will happen in St. Petersburg, with visa-free entry for all participants!