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
- "Math-life balance" is back, hurrah! New videos appear on Fridays at 6 pm
CET.
-
New paper: we compute slices of the motivic spectrum of twisted algebraic K-theory.
"Let's twist again!"
- It's bragging time: someone was awarded SwissMAP Innovator Prize 2021, for her joint work on Hilb(A∞)!
- On November 24th I will give a talk at the Topology Oberseminar in Münster.
Abstract: In this talk, we will discuss algebraic K-theory of vector bundles twisted by a Brauer class. The main aspect of our interest will be the twisted version of the motivic spectral sequence, which in turn is an algebro-geometric analogue of the Atiyah-Hirzebruch spectral sequence in topology. Time permitting, we will summarize a strategy for computing slices of the twisted algebraic K-theory spectrum, generalizing a computation by Bruno Kahn and Marc Levine. This is joint work with Elden Elmanto and Denis Nardin.
- On November 25th I will give a talk at Algebraic Geometry seminar in Hannover.
Title: Hilbert schemes of affine spaces
Abstract: Hilbert schemes of smooth surfaces are well-studied objects, however not much is known about Hilbert schemes of higher dimensional varieties. In this talk, we will speak about topological properties of Hilbert schemes of affine spaces. In particular, we will compute the homotopy type of the Hilbert scheme of infinite affine space. Time permitting, we will discuss a generalization of this computation for certain Quot schemes. This is 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!