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

  • I started collecting essays and blogposts related to Math Empathy, send me more if you wish!

  • 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).

  • Our seminar on algebraic K-theory eAKTS has restarted! We meet biweekly on Tuesdays at 6 pm CEST, videos appear here.

  • On 25th May I will give a talk at the workshop "K-theory & related topics".
Title Twisted K-theory in motivic homotopy theory
Abstract: Algebraic K-theory of vector bundles twisted by a Brauer class is represented by a motivic space. We will discuss some properties of these motivic spaces, as well as the corresponding motivic spectra. Time permitting, we will summarize a strategy for computing slices of twisted K-theory spectra, generalizing a computation by Bruno Kahn and Marc Levine. This work is very much in progress, joint with Elden Elmanto and Denis Nardin.
  • On 6th June I will give a talk at the MIT workshop "Viva Talbot!".

TitleAvatars for algebraic K-theory in the motivic 

Abstract: In this talk, we will design the motivic, invite algebraic K-theory to join the game and discuss different geometric avatars that we can offer. Warning: the game uses a lot of imagination, so bring your charger with you!