Paul Breiding
Technische Universität Berlin
Fakultät II - Mathematik und Naturwissenschaften
Institut für Mathematik
, MA 3-2
Straße des 17. Juni 136
10623 Berlin
Germany
Phone:
+49-30-314-75903
Fax:
+49-30-314-29260
Email:
breiding-at-math.tu-berlin.de
Room:
MA 319
Sprechstunde: Do 14:00-16:00 Uhr, MA 319.
About me
I'm a PhD student in Mathematics at Technische Universität Berlin under the supervision of
Peter Bürgisser
. Here you can find my
CV
.
Teaching
This summer I will be teaching assistant for
Differential Equations for Engineers
A brief history of mathematics
"A brief history of mathematics"
is a very nice podcast by Prof. Marcus du Sautoy for BBC Radio. It is also available via
Spotify
.
Dissertation
Here you can find my preliminary
dissertation
.
Research
The average number of critical rank-one-approximations to a symmetric tensor
. Preprint, 27 pages, 2017; arXiv1701.07312.
The condition number of join decompositions
(with Nick Vannieuwenhoven). Preprint, 32 pages, 2016; arXiv1611.08117.
The expected number of eigenvalues of a real gaussian tensor
. SIAGA, to appear.
An adaptive linear homotopy method to approximate eigenpairs of homogeneous polynomial systems
. Preprint, 33 pages, 2015; arXiv1512.03284.
Distribution of the eigenvalues of a random system of homogeneous polynomials
(with Peter Bürgisser). Linear Algebra and its Applications, Vol. 497, p.88-107 (2016).
On a p-adic Newton method
. Master's thesis. Submitted to the Institute of Mathematics, Georg-August Universität Göttingen, 09/2013. Under the supervision of
Preda Mihailescu
and
Peter Bürgisser
.
Kronecker's Jugendtraum
(with Detchat Samart). Student project for the
International Summer School on Number Theory
, July 29 - August 18, 2012, Göttingen, Germany.
For my research I use
Bertini
, which is a free Software for solving polynomial systems, and
TensorLab
, which is a MATLAB package for tensor computations.
Travels
My recent and near future travels are
SIAM Conference on Applied Algebraic Geometry
, July 31- August 4, 2017, Atlanta, Georgia, USA. Invited talk.
FOCM 2017
, July 10-19, 2017, Barcelona, Spain. Invited talk.
Tensors: Algebra meets numerics
, December 12-14, 2016, Leipzig, Germany. Participant.
7ECM
, July 18-22, 2016, Berlin, Germany. Constributed Talk.
Here are the
slides
I presented.
Workshop on Software and Applications of Numerical Algebraic Geometry
, May 23-25, 2016, Notre Dame, IN, USA. Participant.
TDA 2016
, January 18-22, 2016, Leuven, Belgium. Constributed
poster
.
Algorithms and Complexity in Algebraic Geometry Reunion
, December 14-16, 2015, Berkeley, CA, USA. Invited talk.
Here are the
slides
I presented.
Seminars
Here I have gathered some notes/slides of seminar talks that I gave.
The condition number of join decompositions
.
The number of real eigenvalues of a random real tensor
.
Spectral theory of tensors
.
Der Satz von Eichler
.
Server Scheduling in weighted l_p norm
.
Das quadratische Sieb
.
Der Algorithmus von Schoof
.
Gib immer dein bestes? Eine spieltheoretische Betrachtung eines Ausschreibungsproblems
. This was joint work with
Frederik Tietz
and Daphne Böcker.