Hausdorff Center for Mathematics

Hausdorff Center for Mathematics The Hausdorff Center for Mathematics is a Cluster of Excellence at the University of Bonn. Also on Instagram, LinkedIn, and YouTube!

The Hausdorff Center for Mathematics is a Cluster of Excellence that was established in 2006 at the University of Bonn under the title "Mathematics: Foundations, Models, Applications" within the Excellence Initiative by the German federal and state governments. It has been successfully renewed for a second funding period in 2012. Its work thematically comprises a broad spectrum of mathematics as w

ell as mathematical economics: from topics from the classical core areas of mathematics through mathematical modeling and numerical simulation in the natural and social sciences to industrial applications in chip design.

Two weeks ago, the Bonn Mathematical Society ("Bonner Mathematische Gesellschaft") organized a fairy-tale evening “Alice...
17/06/2026

Two weeks ago, the Bonn Mathematical Society ("Bonner Mathematische Gesellschaft") organized a fairy-tale evening “Alice and Bob in Wonderland” in the Poppelsdorf Mensa in cooperation with the "Studierendenwerk" and us. During the event, mathematics professor "R. Can-That", lured by a geometry puzzle, fell into the trap of the evil dragon Calculus. To free him, a series of mystical mathematical and moral challenges had to be solved. Together with Alice and Bob, the audience embarked on a fairy-tale journey during which all the virtues of studying mathematics were put to the test, moderated by the storyteller ("Märchenonkel") Thoralf Räsch. In the end, they succeeded in freeing the professor. We had so much fun with the puzzles and riddles, and with all the many wordplays and references. 😀 Thank you so much to all people involved, so many helping hands - fantastic! 🫶

Pictures: Ronny Bittner / BMG

Today, a “Stolperstein” was laid at the former residence of Otto Toeplitz, at Wittelsbacher Ring 1. Two of Otto Toeplitz...
15/06/2026

Today, a “Stolperstein” was laid at the former residence of Otto Toeplitz, at Wittelsbacher Ring 1. Two of Otto Toeplitz’s grandchildren, Tamar Vital and Ronnie Toeplitz, were in attendance; they had traveled from Israel especially for the occasion. In addition, many students from the nearby Ernst-Moritz-Arndt-Gymnasium and numerous professors and students from the Hausdorff Center for Mathematics took part.

A Stolperstein (“stumbling block”) is a ten-centimeter cube bearing a brass plate inscribed with the name and dates of birth and death of victims of N**i extermination or persecution. The Stolpersteine project aims to commemorate individuals at the last place they freely chose to live, work, or study before they fell victim to N**i terror, forced euthanasia, eugenics, or deportation to a concentration or extermination camp, or escaped persecution through emigration or su***de.

Special thanks go to the students of the Ernst-Moritz-Arndt-Gymnasium (which will be renamed the Felix-Hausdorff-Gymnasium in a few months). In May 2024, students there published a special edition of the school newspaper titled “Stolpersteine – Frieden durch Erinnerung.” The editorial team researched biographies, reviewed historical sources, conducted interviews with experts, and brought to light the fates of people who lived in Bonn and were disenfranchised, displaced, or murdered as a result of N**i persecution. This journalistic commitment eventually led to something more: the student editorial team wanted not only to remember, but also to make their own contribution to the culture of remembrance in our city. Through the sale of the special edition and additional donations, a total of 2,520 euros was raised. This sum will now be used to fund 22 Stolpersteine, which will be laid today and in three days’ time in the Bonn city area.

Otto Toeplitz was born in Breslau in 1881, the son of mathematician Emil Toeplitz and his wife Pauline. He studied mathematics in Berlin and Breslau, where he earned his doctorate in 1905 with a dissertation on algebraic geometry. In 1907, he qualified as a professor in Göttingen, became a full professor in Kiel in 1920, and was appointed to Bonn in 1928. In Bonn, he was friends with Felix Hausdorff. After the National Socialists came to power, everything changed in the Toeplitz family’s life as well. Otto Toeplitz was forced into retirement in 1935 at the age of 53. The family had to leave their home on Wittelsbacher Ring and move in 1936 to a small apartment in the house of the widow of a Jewish colleague at 102 Koblenzer Straße. In 1938, Otto Toeplitz had been invited to give a lecture at the University of Jerusalem in order to secure a position there. Prior to this, the Gestapo had summoned him and pressured him to return to Bonn. After the November pogrom, he received a renewed job offer from the University of Jerusalem. Consequently, the Toeplitz couple left Bonn in 1939 and traveled via Switzerland to Jerusalem. Otto Toeplitz soon fell ill with typhus and died in 1940.

Following his dissertation, his main area of research became the theory of linear operators (which he still treated as infinite matrices) in normed spaces. Today, this field is part of functional analysis. Furthermore, Toeplitz made significant contributions to function theory. His conjecture that a square can be inscribed in every closed Jordan curve has to date neither been proven nor refuted (Toeplitz conjecture). The conjecture holds for a class of special Jordan curves. Three of his works in functional analysis have gained particular significance and should therefore be mentioned separately here. For the five-year period 1988–1992, Peter Lax (Courant Institute, New York) analyzed the data from the “Mathematical Reviews” and found that 394 papers from this period mention Toeplitz in the title and that Toeplitz is cited in the text of 1,191 papers. The vast majority of all these references pertain to Toeplitz’s nearly two-page article “On the Fourier Expansion of Positive Functions” from 1911. In this article, Toeplitz introduced the matrices that are now named after him and used these matrices to solve a problem posed by Constantin Carathéodory (1873–1950). The theory of these matrices and their generalizations found application in various branches of mathematics such as Fourier analysis, particle differential equations, time series analysis, random walks, and the development of fast algorithms, but also far beyond mathematics into crystallography, statistical mechanics, quantum mechanics, and quantum chromodynamics.

Bonn PhD student Daniel Ebert receives first prize at the heureka Student AwardDaniel Ebert, a PhD student at the Resear...
04/06/2026

Bonn PhD student Daniel Ebert receives first prize at the heureka Student Award

Daniel Ebert, a PhD student at the Research Institute for Discrete Mathematics, has been awarded the first prize at the 2025 heureka Student Award for his master’s thesis “Better Cost Allocations in Vehicle Routing” (advisor: Jens Vygen), along with a cash prize of 2,000 euros. In his thesis, he developed a new mathematical concept for the fair distribution of costs in delivery transport and demonstrated its practical utility in an industrial application.

The Student Award from the heureka Foundation aims to support young researchers by honoring outstanding master’s theses on the topics of “Mobility and the Environment” or “Mobility and Optimization,” with prizes of €2,000 (1st prize), €1,000 (2nd prize), and €500 (3rd prize). For the 2025 Student Award, 23 high-quality theses were submitted from 17 universities in Germany and Austria, covering a broad interdisciplinary spectrum of mobility-related topics ranging from mathematical optimization to engineering and the social sciences. The awards were presented at the Forum Neue Mobilitätsformen (FONEMO) conference.

Picture (c) heureka: Daniel Ebert (right) at the awards ceremony

Yesterday, Paul Klemperer (Edgeworth Professor of Economics at the University of Oxford) gave a public lecture at our Ma...
03/06/2026

Yesterday, Paul Klemperer (Edgeworth Professor of Economics at the University of Oxford) gave a public lecture at our Mathematics Center titled “What Really Matters in Auction Design,” as part of the trimester program “Advances in Mechanism Design,” which is currently running at the Hausdorff Research Institute for Mathematics. Paul Klemperer explained to the audience in the fully-booked Lipschitz Hall that an auction is essentially just another market to which the normal rules of economics apply. Since it is particularly simple, it serves as a sort of “model organism” for economics, similar to Drosophila in biomedicine. On the other hand, it also quickly became clear that auction design has not a “one-size-fits-all” solution and that the devil is in the details. For instance, the UK generated revenue of 650 euros per capita in its 3G auction, while the Netherlands achieved only 170 euros per capita. And this despite the fact that the Netherlands had copied the UK’s design! The situation was quite different, however: In the UK, 5 licenses were auctioned, and there were 4 strong bidders (incumbent operators). As a result, at least one license had to go to a new entrant. 9 new entrants bid, driving up the prices of all 5 licenses. The Netherlands, however, auctioned 5 licenses but had 5 strong bidders (incumbent operators). So why would any new entrant bother bidding? Instead of an ascending auction, the Netherlands should have preferred to choose a sealed-bid auction. Later in his presentation, Paul Klemperer showed us additional auction designs, including the product-mix auction, which he developed and wich is now regularly used by the Bank of England. Thank you for the very interesting lecture!

Over the past few days, 15 children from our Bonner Matheclub (Bonn Math Club) competed in the final round of the FEMO I...
01/06/2026

Over the past few days, 15 children from our Bonner Matheclub (Bonn Math Club) competed in the final round of the FEMO International Math Olympiad in Antalya, Turkey (grade 1-6). They made up the entire German team. The children had an incredible time and came home with many cultural and social experiences — as well as a few medals. 😎 In the individual competition, the following children from the Bonn Math Club recieved awards:

🥇Gold: Oliver Roubal (Grade 5)
🥈Silver: Linus Jender (Grade 4)
🥈Silver: Alexander Didenko (Grade 4)
🥈Silver: Larion Nett (Grade 2)
🥉Bronze: Platon Maslinkov (Grade 4)
🥉Bronze: Victor Liu (Grade 3)
🥉Bronze: Hannah Alashwal (Grade 2)
🥉Bronze: Michel Berk (Grade 2)

Congratulations!!🎊🎉🎈

Special recognition goes to Oliver Roubal, who achieved one of the best results in Grade 5 with 25 out of a possible 30 points — an awesome performance!! 👏🙏

26/05/2026

Please watch this beautiful video portrait about Gert Faltings and listen what Peter Scholze says about him and his impact. 💛

Gert Faltings was awarded the Abel Prize in Oslo today. Congratulations once again to our HCM associate member! 👏Great p...
26/05/2026

Gert Faltings was awarded the Abel Prize in Oslo today. Congratulations once again to our HCM associate member! 👏Great pictures! Thank you Abel Prize

Exciting!
25/05/2026

Exciting!

Great, thank you! 🙏
23/05/2026

Great, thank you! 🙏

Oh, look what we got! A small mathematical lecture before the main event next week: The Abel Prize Week in Oslo. Thank you for sending us this and letting us publish it on Abel Prize YouTube channel!

As a warm-up to the Abel Prize celebration, join the Math+ Special Talk at the XXIX. Berlin Day of Mathematics, where number theory meets geometry through one of the most profound breakthroughs in modern mathematics.

Watch it on YouTube! https://youtu.be/ukQYjIfAf7Y?si=WF4zg1XM3Kkp8979
Why do seemingly simple equations lead to deep mysteries?
And how did Abel Prize laureate Gerd Faltings change the field forever?

With Jürg Kramer, president of the German Mathematical Society, this accessible talk explores Diophantine equations, arithmetic geometry, and the ideas behind Faltings’s theorem.

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Math+ Special Talk given at the XXIX. Berlin Day of Mathematics. This is a Math+ Special Talk cohosted by the Berlin Mathematical School. It is supported by the Berlin Mathematics Center of Excellence Math+.

Photo by Peter badge / Typos1 / The Abel Prize🙏🇩🇪
A perfect prelude to the Abel Prize festivities.
Hausdorff Center for Mathematics Deutsche Mathematiker-Vereinigung
Berlin Mathematical School

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