Fachgebiet Algorithmische Algebra
- © Martin Lotz
Leiter des Fachgebiets:
Prof. Dr. Peter Bürgisser 
Technische Universität Berlin
Institut für Mathematik
Sekretariat MA 3-2
Straße des 17. Juni 136
10623 Berlin Fax
+49 30 314-29260 Web
Invited Talk by Peter Bürgisser at STACS 2021 
Donnerstag, 11. März 2021
On March 16, Peter Bürgisser will give an invited talk at the 38th International Symposium on Theoretical Aspects of Computer Science . He will speak about Optimization, Complexity and Invariant Theory , based on recent research with Cole Franks, Ankit Garg, Rafael Oliveira, Michael Walter and Avi Wigderson. The corresponding extended abstract / survey article is publicly available at the Dagstuhl Publication Server .
SIAG/AG Early Career Prize for Paul Breiding! 
Freitag, 26. Februar 2021
We are very proud to announce that our group member Paul Breiding  will receive the Early Career Prize  of the SIAM Activity Group on Algebraic Geometry. The prize will be awarded at the SIAM Conference on Applied Algebraic Geometry  in August 2021.
Congratulations on this great achievement, Paul!
Paper on the eigenvalue problem in JEMS 
There is a nice Youtube-Video  available, which gives a short summary of the paper
"A stable, polynomial-time algorithm for the eigenpair problem" by Armentano, Beltrán, Bürgisser, Cucker and Shub
that appeared in the Journal of the European Mathematical Society.
Nachholklausur für Algebra 1 (Ersatztermin für den 02.04.2020) 
Dienstag, 19. Mai 2020
Der neue Termin für die Algebra 1 Klausur (2. Prüfungstermin) steht inzwischen fest. Für weitere Informationen wird auf die Webseite von Dirk Kussin  verwiesen.
Invariant Theory for Maximum Likelihood Estimation 
Dienstag, 05. Mai 2020
case study Invariant Theory for Maximum Likelihood Estimation
is published at the website of the University of
Oxford, https://www.maths.ox.ac.uk/node/35937 . It is based
on a recent preprint (arXiv:2003.13662 ), that connects notions of
stability from Invariant Theory with maximum likelihood estimation
from (Algebraic) Statistics.
This is a joint research project of our group member Philipp Reichenbach  and his collaborators Carlos Améndola (TU Munich), Kathlén Kohn (KTH Stockholm) and Anna Seigal (University of Oxford).
An Algebraic Geometry Perspective on Topological Data Analysis 
Montag, 27. Januar 2020
Our group member Paul Breiding  recently wrote an article about topological data analysis from an algebraic-geometric point of view. It was published in SIAM News, Issue January/February 2020. Please find in the following the linked online version  of the article including a short demonstration video, as well as the corresponding issue of SIAM News as a pdf-file .
3264 Conics in a Second 
Donnerstag, 09. Januar 2020
The article "3264 Conics in a Second" by our group member Paul Breiding  and his co-authors Bernd Sturmfels  and Sascha Timme  was recently published in the Notices of the AMS  (issue January 2020). Moreover, one image of the article is used prominently for the cover design!
Please consider the following pdf  for the full press release on this subject. It also contains a link to the article. For a website version, we refer to the following linked page  on the website of the Max Planck Institute for Mathematics in the Sciences, Leipzig.
Efficient algorithms for geometric invariant theory 
Dienstag, 16. Juli 2019
Recently the SIAM Conference on Applied Algebraic Geometry 2019 took place. The presentations of the minisymposium "Efficient algorithms for geometric invariant theory" as well as additional material are now available under the following link .
Thematic Einstein Semester: Varieties, Polyhedra, Computation 
Donnerstag, 21. Februar 2019
In the winter term 2019/20 there will be a Thematic Einstein Semester on (Applied) Algebraic Geometry, called Varieties, Polyhedra, Computation.
As a preparation there will be several courses and seminars at FU, HU and TU in the summer semester 2019. In particular, at TU Berlin the three lectures Real Algebra , Condition: The Geometry of Numerical Algorithms  and Variations on Bezout's theorem  as well as the software seminar Numerical Nonlinear Algebra  will be offered. Moreover, right before the start of the winter term there will be a fall school and an opening conference.
We are very much looking forward to this exciting program, that shall intensify the collaboration of the three Berlin universities in (Applied) Algebraic Geometry. Please stay tuned via the homepage  of the Thematic Einstein Semester.
Erratum for a paper
Montag, 17. Dezember 2018
There is an erratum  for Theorem 5.7 in the paper The Complexity of Factors of Multivariate Polynomials by Peter Bürgisser, which was published in 2004 in Foundations of Computational Mathematics.
New Application Deadline
Mittwoch, 24. Oktober 2018
The time to apply for our open postdoc positions has been extended. The new application deadline is 30.11.2018.
Open PostDoc Positions
Mittwoch, 10. Oktober 2018
Our research group has an opening for
two five year postdoc positions within Prof. Bürgisser's ERC
Advanced Grant "COCAN: Complexity and Condition in Algebra and
Numerics". For more information click here.
Likely, there will be an opening for a PhD position in the near future.
Felipe's Fest: Celebrating Felipe Cucker's 60th Birthday 
Samstag, 29. September 2018
- © Peter Bürgisser & Josué Tonelli-Cueto
The workshop "Complexity of Numerical Computation: A workshop in honor of Felipe Cucker" (or simply Felipe's Fest) will take place in Berlin from the 19th to the 23rd of August 2019. Colleagues and friends of Felipe Cucker will celebrate his 60th birthday presenting talks on the complexity of numerical computation and related topics. Additionally, the conference will have a lecture by Felipe on art and mathematics and an exhibition of the art project Approximation Theory in which Felipe took part. Every person in Berlin with an interest in mathematics is welcome to attend the conference. More information in this link .
This workshop is organized by Peter Bürgisser, Teresa Krick, Javier Peña and Steve Smale and will be funded by the Einstein Foundation Berlin and the European Research Council (ERC) (agreement grant No 787840).
Facets of Complexity 
Donnerstag, 02. August 2018
The Graduiertenkolleg 2434: Facets of Complexity, which is run jointly by FU Berlin, TU Berlin, and HU Berlin, has a new webpage!
ERC Advanced Grant for Peter Bürgisser 
Donnerstag, 03. Mai 2018
We are happy to report that Peter Bürgisser has been awarded an ERC Advanced Grant for his project COCAN: Complexity and Condition in Algebra and Numerics. This provides funding for basic research in the amount of 2.3 million Euro for five years.
Workshop "Optimization, Complexity and Invariant Theory" at Princeton 
Dienstag, 20. Februar 2018
From the 4th until the 8th of June, it will take place at the Institute of Advanced Study at Princeton the workshop "Optimization, Complexity and Invariant Theory" organized by Prof. Avi Widgerson. This workshop will explore "the connections between complexity and optimization with algebra and analysis, which have emerged from the works on operator scaling". Registration is for free. More information in this link .
Facets of Complexity
Montag, 29. Januar 2018