Mathematics supports new medical imaging techniques

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While MRI, CT and x-ray already provide valuable insights into the interior of the body, the technology involving so-called magnetic particle imaging now promises new possibilities with high resolution, less acquisition time and no harmful radiation. In order to be able to draw conclusions about biological processes based on the observation of magnetic particles in a magnetic field, research has to rely on mathematics. Tram Thi Ngoc Nguyen is completing her doctoral thesis on this topic at the University of Klagenfurt.

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Daniel Krenn and Annika Wille received their habilitation certificate

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This year, two colleagues at our faculty defended successfully their habilitation thesis. Daniel Krenn, Department of Mathematics, received the venia docendi in Mathematics, and Annika Wille, Department of Mathematics Education, the venia docendi for Mathematics Education. The certificate was presented on June 17 by the Dean Gerhard Friedrich and the Vice Dean Clemens Heuberger.

Congratulations to our young colleagues for their excellent work and contributions to the field of Mathematics and Mathematics education!

Habilitation colloquium of Daniel Krenn

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On January 25, 2019, the habilitation colloquium of Daniel Krenn took place. The talk titled

“Research in the spirit of analytic combinatorics explained on the example ʽQuicksort algorithmʼ”

revealed Daniel’s research endeavour and showed his technical proficiency and scientific maturity.

Daniel managed to explain key issues of his research so that it was accessible to the general audience, and at the same time he impressed the experts by his highly nontrivial and interesting work. The presentation was followed by a vivid discussion which covered theoretical issues along with algorithmic aspects all the way to purely didactical questions, for instance how to communicate complicated mathematical topics to children.

We wish Daniel Krenn all the best and many more results that advance the state-of-the-art in Analysis of Algorithms and Analytic Combinatorics!

Using mathematics to improve rail cargo planning

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Every year, around 8,400 employees transport more than 100 million tonnes of goods on behalf of Rail Cargo Austria. 620 traction units and 21,500 goods wagons are required purely for rail cargo operations. In the case of highly complex logistics tasks such as this, the deployment of man and machine requires careful planning. Mathematicians working on a project funded by FFG are now developing algorithms designed to significantly enhance the planning process.

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The AAU Delegation to the European Women in Mathematics General Meeting 2018

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The European Women in Mathematics association (EWM) held its general meeting at the Institute for Mathematics of the Karl Franzens University Graz during September 3-7, 2018, celebrating 30 years of existence. The conference was co-organised by Elena Resmerita (Institute for Mathematics of the AAU), who was re-elected as deputy convenor for the period 2018-2020 together with Carola Schönlieb (Cambridge University) as an EWM convenor. More than one hundred female mathematicians from all over Europe met for excellent scientific lectures, minisymposia and posters presentations, discussions and networking:

https://sites.google.com/site/ewmgm18/

Laurenz Kohlbach qualifies again for the International Mathematical Olympiad

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Laurenz Kohlbach (Stiftsgymnasium St. Paul) has attended the course of Mathematical Olympiad of the Alpen-Adria-University Klagenfurt for several years now. This year he again qualified for the International Mathematical Olympiad, which takes place in Romania this year.

 

He has mastered the way there brilliantly. After winning the first prize in the regional competition for advanced students, he solved all problems and got the first place in the first part of the national competition. He also won the first place in the second part of the national competition (two days on May 31 and June 1) together with Veronika Schreitter. This year’s International Mathematical Olympiad will take place from July 3 to 14 in Cluj-Napoca, Romania. There Laurenz Kohlbach and 5 other Austrians will compete for medals.

 

Laurenz Kohlbach already took part in the International Mathematical Olympiad in Brazil last year and received a silver medal there.

14th Austrian Numerical Analysis Day 2018

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On May 3 and 4, the 14th ANADay took place at the AAU, organized by Barbara Kaltenbacher und Elena Resmerita (Institut für Mathematik, Alpen-Adria-Universität Klagenfurt) as well as Mechthild Thalhammer (Institut für Mathematik, Leopold–Franzens Universität Innsbruck).

The aim of this annual workshop is to inform about activities in the fields of numerical analysis and applied mathematics. Scientists from Austrian universities and other research institutions in particular present their research, exchange ideas, and start new collaborations. With more than 70 participants, this year’s workshop was very successful.

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From energy to logistics: controlling complex systems more effectively thanks to new algorithms

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The new European Training Network “MINOA” is looking for doctoral students for four years of international training and research in applied mathematics

Nuremberg/Germany – Developing effective algorithms for unresolved problems and at the same time training future mathematicians and IT experts: with this mission in mind, the European Training Network “MINOA”[1] was launched by an international team at the beginning of the year.  Over the next four years, the team, together with twelve early-stage researchers, will work in a cutting-edge field of mathematics research – non-linear mixed-integer optimisation – exploring new methods that could contribute, for example, to electricity networks being able to cope better with fluctuating supplies from solar or wind energy sources or to disruptions in public transport being managed more efficiently. The European Union is financing the project with around three million euros. The network is coordinated at the Friedrich-Alexander University Erlangen-Nürnberg (FAU), Germany, and is now looking for students who would like to do a PhD within the frame of the network.

Whether in logistics or in energy management – extremely short-term decisions are seldom made by humans today. Highly intelligent machines that can control processes and systems in real time take care of this instead. This is all due to the underlying software, which determines the best possible results in fractions of seconds by using complex mathematical calculations. Finding out how to achieve this is the task of “mathematical optimisation”. Optimising a complex system can be extremely challenging if uncertainties come into play, for example due to future projections or because of seasonally varying requirements. This kind of situation frequently arises in practice, but because of its enormous complexity, it often cannot be handled by existing solution methods. While enormous progress has been made with research at a theoretical level, practical implementation and application of new mathematical findings to real-life problems is still in its infancy. This is the point where the MINOA network comes into play.

“Thanks to this EU grant, we will on the one hand develop new and effective algorithms, which can be integrated into numerous applications, and, on the other hand, we will train a new generation of early-stage researchers who will be able to use these new technologies and be at home both in science and industry”, announced MINOA coordinator Frauke Liers, FAU, on the occasion of the kick-off meeting in Nuremberg. “This is something that cannot be achieved by working alone. To solve these complex problems, we have to improve existing mathematical methods that we need to combine cleverly. In order to achieve this, we need an international team of colleagues who can offer expertise in their respective specialist areas. Interdisciplinary collaboration is essential in this respect.”

Wanted: Highly motivated PhD candidates 

The researchers will train a total of twelve early-stage researchers from the fields of applied mathematics, optimisation and computer science by the end of 2021. They will be supported in this endeavour by a number of small and medium-sized enterprises as well as large companies, which will participate in the training and apply the new methods. Students who are interested in obtaining a PhD degree in applied mathematics, operations research, engineering and computer science can apply until 4 May, 2018 – the deadline might be extended until all positions are filled. Within the network, every PhD student will work autonomously on a project, further developing existing research results or implementing them in five specific fields of application.

From basic research to implementation in five fields of application

The MINOA team can build upon the results of a predecessor network that has already studied several theoretical questions: the “MINO” Training Network, which was also funded by the EU, laid the mathematical foundations between 2012 and 2016 and has already developed new solution methods. The new project will look in greater depth at the research started in MINO and will also work on the “A”, in other words the “Application”. “MINOA” involves enhancing the theories and implementing them in specific solution algorithms, which represents a major step forward. That is because the reality can at times differ significantly from abstract computer programs. The special challenges that can arise in terms of practical application, and on which the team will focus, can be found in large systems that are subject to uncertainty and in real-time applications among others. International aviation is a good example: every day in Europe alone, more than 20,000 aircraft must be routed in such a way as to ensure on the one hand that safety distances are maintained and, on the other hand, that airspace is used optimally. Changing weather conditions are among the factors that make planning more difficult and require a rapid response in order to determine the optimum route for the individual aircraft and thus minimise delays and kerosene consumption.

The applications targeted by the new algorithms being developed include energy management systems and energy markets, transport systems (logistics), quantum mechanics and big data analysis. Yet this is only the start: “We expect that the knowledge gained will help to resolve optimisation problems and enable practical implementation in real systems, also above and beyond the applications examined”, said Liers.


About MINOA

The EU-funded MINOA project (“Mixed-Integer Non-Linear Optimisation Applications” – Grant Agreement No. 764759) started on 1 January 2018 and will receive funding of about 3 million euros by 31 December 2021 from Horizon 2020, the European framework programme for research and innovation. As an Innovative Training Network (ITN), its mission is on the one hand to gain new insights into the field of applied mathematics (non-linear mixed-integer optimisation); on the other hand, the network focuses on training twelve Ph.D. students in science and industry. Ten scientific institutions as well as two companies from five European states are involved in MINOA. This consortium is supported additionally by five associated companies as well as three associated universities. The network is coordinated at the Friedrich-Alexander University Erlangen-Nürnberg in Germany. Other partners include

  • From France: French National Center for Scientific Research and International Business Machine Corporation;
  • From Italy: Italian National Research Council, Management Artificial Intelligence Operations Research, and University of Bologna;
  • From the Netherlands: Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands, and Tilburg University;
  • From Germany: University of Heidelberg, Technical University of Dortmund, and University of Cologne;
  • From Austria: University of Klagenfurt.

Associated partners:

  • From Germany: Bavarian Research Alliance GmbH and Siemens AG;
  • From Switzerland: CRAY Computer GmbH;
  • From Italy: Optit, University of Pisa, and University of Rome;
  • From the Netherlands: Ortec Logistics Holding B.V.;
  • From France: University of Paris Saclay.

For further information, please refer to https://minoa-itn.fau.de.

Contact

Prof. Dr. Angelika Wiegele
University of Klagenfurt
Phone: +43 463 2700 3119
E-mail: angelika [dot] wiegele [at] aau [dot] at

 

 

[1]                      MINOA: „Mixed-Integer Non-Linear Optimisation Applications“

5th Alpen-Adria-Workshop on Optimization (December 6 to 9, 2017)

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From December 6 to 9, 2017 26 scientists from Germany, Italy, Slovenia, the Netherlands and Austria gathered in Klagenfurt to present and discuss latest results on various combinatorial optimization problems.

 

The plenary lectures were given by Frank Vallentin and Gerhard Woeginger.

Frank Vallentin talked about colourings of infinite graphs, where harmonic analysis and convex optimization is used to obtain bounds. In Gerhard Woeginger’s we learned about hard voting problems.

 

The program consisted also of an open problem session where many of us posted and discussed questions they are currently working on. 13 speakers contributed to the workshop program by presenting their work on topics like bundle methods, matrix factorization ranks, or several types of quadratic problems.

 

Socializing, discussing problems and optimizing also took place beyond the lecture halls: at dinners we had together, with the hot wine punch at the Christkindlmarkt, during a boat trip at lake Wörthersee and during a hike through a winter wonderland to the top of Pyramidenkogel.

 

More information: https://aawo2017.aau.at

Prof. Bruno Buchberger visits “Algebraic Methods for Discrete Optimization” (taught by Visiting Fulbright Professor Susan Margulies)

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The distinguished mathematician Bruno Buchberger was a key note speaker in the workshop “Mind, Culture and Behavior in the Digital Age” conducted in Klagenfurt last week. Despite his busy schedule, he accepted Susan Margulies’ invitation to attend the last day of her class, and listen to the students present their final projects.

Groebner Bases (discovered by Buchberger, but named after his thesis advisor Wolfgang Groebner) and Buchberger’s Algorithm were principal topics in the course “Algebraic Methods for Discrete Optimization”. The final student presentations included topics such as “Improvements to Buchberger’s Algorithm”, “Set Cover and Groebner Bases”, “Hamiltonian Cycle and Groebner bases”, and “A Bridge between the Ideal World and the SDP World”.

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