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

TitleUniversality of hermitian 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.

TitleUniversality 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.