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Fachgebiet Algorithmische Algebra


Leiter des Fachgebiets:
Prof. Dr. Peter Bürgisser

Technische Universität Berlin
Institut für Mathematik
Sekretariat MA 3-2
Straße des 17. Juni 136
10623 Berlin

+49 30 314-29260



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

The 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

Felipe Cucker

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

DFG has granted the Graduiertenkolleg 2434: Facets of Complexity, which will be run jointly by FU Berlin, TU Berlin, and HU Berlin. There are openings of a postdoc position and several PhD positions. See http://www.mi.fu-berlin.de/facets for more information.

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