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. Here is my CV.

Teaching

In the winter semester 2018/2019 I teach the course Condition: the geometry of numerical algorithms. It follows the book with the same name by Bürgisser and Cucker. Here are hand-written lecture notes.

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.


Together with Sascha Timme I am developing HomotopyContinuation.jl, a polynomial equation solver for Julia. The current release is v.0.3.3. Our website is available at

     https://www.juliahomotopycontinuation.org

If you want to know what the gif on the right is about, you should read the post on computing the maximal curvature of a hypersurface.


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.


Tensorlab

TensorLab is a MATLAB package for tensor computations. I wrote a tutorial as Jupyter Notebook, which you can download here. Alternatively, you can view a HTML version.


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.


Research

You can find my dissertation here.

Here is an overview of articles I wrote.

My talk "What is... a condition number?" in the BMS student's seminar was recorded on video and you can watch it here.


Travels

My recent and near future travels are