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
- Our online seminar on algebraic K-theory eAKTS will take a winter break. We'll continue in spring!
- New title, new author, many new results: "The Hilbert scheme of infinite affine space and algebraic K-theory"
-
Motives and What Not: videos of our four mini-conferences are available here.
- On 26th November I gave a talk at the EIMI Seminar on A1-topology, motives and K-theory.
Abstract: In this talk, we will give a new model of the motivic hermitian K-theory spectrum, which can be interpreted as a new universality property of hermitian K-theory in terms of its structure of transfers. In addition, we will explain the connection with the analogous property of algebraic K-theory. This is joint work in progress with Marc Hoyois, Joachim Jelisiejew, and Denis Nardin.
- On 8th October I gave a talk on the Midwest Topology seminar.
Title: Universality of cohomology theories in algebraic geometry
Abstract: Motivic homotopy theory provides a framework for studying various cohomology theories of algebraic varieties. In this talk, we
will discuss how many interesting examples of these cohomology theories, such as algebraic K-theory or algebraic cobordism, acquire universality properties, which are based on certain covariance
structures of these cohomology theories. This is a summary of joint projects with Tom Bachmann, Elden Elmanto, Marc Hoyois, Joachim Jelisiejew, Adeel Khan, Denis Nardin, Vladimir Sosnilo and Burt
Totaro.
Events
- During 16 March - 10 April I would take part in the program "K-theory,
algebraic cycles and motivic homotopy theory" at INI.
- During 10 February - 6 March I was a research member of the program "Higher Categories
and Categorification" at MSRI.
- ICM 2022 will happen in St. Petersburg, with visa-free entry for all participants!