Paul Breiding

Max-Planck-Institute for Mathematics in the Sciences Leipzig
Inselstr. 22
04103 Leipzig
Germany

Phone:  +49 (0) 341 - 9959 - 769
Email:  breiding-at-mis.mpg.de
Room:  F3 07

About me

I'm a Postdoc in the group Nonlinear Algebra at the Max-Planck-Institute for Mathematics in the Sciences in Leipzig.


New article on the average condition number of tensor rank decomposition problems

Together with Carlos Beltran and Nick Vannieuwenhoven I have finished the new article The average condition number of most tensor rank decomposition problems is infinite. Our results underline the high computational complexity of decomposing tensors, but also point out new directions of how algorithms for computing such decompositions could be designed.


3264 Conics in a Second

The picture on the right shows a red ellipse, which is tangent to four blue ellipses and a blue hyperbola. The question of how many conics are tangent to five given conics is known as Steiner's conic problem.
Follow this link, if you want to compute the conics that are tangent to your five personal conics:

     juliahomotopycontinuation.org/do-it-yourself/


Dichotomisation of continuous outcomes in R

My sister Janne has released the R package distdichoR for the distributional dichotomisation of continuous outcomes. Working in statistics? Check it out!


Minisymposia at SIAM AG 2019

For SIAM AG 2019 I co-organize a minisymposium on Numerical Methods in Algebraic Geometry and a minisymposium on Random Geometry and Topology.


Looking at data through the lens of algebraic geometry

Algebraic methods yield insight into the geometry of datasets: in a world where huge amounts of information are released and collected every day, it has become essential to be able to give meaning to data sets and to recognise any underlying pattern in the collected data.

Read more about this in our press release in the MPG News.


A brief history of mathematics

"A brief history of mathematics" is a podcast by Prof. Marcus du Sautoy for BBC Radio. It is also available on Spotify.