Research brief on investigating Terao's freeness conjecture with computer algebra (21.04.2021)
Lukas Kühne, who works in the Sturmfels group on hyperplane arrangements, matroids and tropical geometry has just published a new research brief. This brief deals with a problem from computational mathematics, the problem of scanning (ﬁnite but) large sets of certain objects. Based on a database of such objects with some of their invariants, recognized patterns and questions may lead to working hypotheses or even proofs by inspection. Lukas describes an instance of this principle in an ongoing research project with Mohamed Barakat in which they investigate hyperplane arrangements through a database.
Episode 3 - "This institute is an essential piece of my life" Interview with Prof. Dr. Jürgen Jost (08.04.2021)
Prof. Dr. Jürgen Jost founded our institute in 1996 together with Prof. Dr. Eberhard Zeidler and Prof. Dr. Stefan Müller and accompanied it as director and working group leader through the entire 25 years. We are very pleased that he shares some memories, thoughts and inspirations with us in this interview as part of our 25 years of MiS column.
We dedicate today's article to an outstanding scientist, warm-hearted human being, leadership mentor, and extraordinary communicator of mathematics - our founding director, Prof. Dr. Dr. h.c. Eberhard Zeidler.
Take a look back at our history and let’s share some memories in our 25 years of MiS column.
International Day of Mathematics 2021 (12.03.2021)
Coming Sunday, March 14, is the International Day of Mathematics – a worldwide celebration of the essential role that mathematics and mathematics education plays in breakthroughs in science and technology, improving the quality of life, empowering women and girls and much more.
Mathematical highlights of this year's International Women's Day (08.03.2021)
We would like to celebrate the International Women's Day by featuring a variety of mathematical news and events dedicated to this occasion. There is a special column on female pioneers in science by the MPG, featuring an interview with Noémie Combe. You can also attend a panel discussion on gender balance in mathematics by the EWM.
Future proof - Career step towards Portugal for Eliana Duarte (05.03.2021)
A big step in her scientific career awaits our former postdoc Eliana Maria Duarte Gelvez. In Portugal, she was able to acquire one of five highly coveted fellowships in the field of mathematics and computer science. This now gives her the opportunity to continue her research in the field of algebraic geometry at a host institution of her choice - the Centro de Matemática of the Universidade do Porto.
Research brief on the magnetization ripple (03.03.2021)
Tobias Ried and Pavlos Tsatsoulis, who work in the Otto group on stochastic quantisation and singular SPDEs among other things have just published a new research brief on the magnetization ripple. They describe the basics of the micromagnetic model and explain the mathematics of the 'universality' in the structural pattern.
25 years of MiS - That’s how we started (01.03.2021)
25 years ago to this day, our first research group, "Methods of Mathematical Physics" led by Professor Eberhard Zeidler, was launched.
Warmest thanks to all the excellent scientists, guests and staff members who made our MPI one of the most renowned mathematical research institutions worldwide.
Take a look back at our history and let’s share some memories in our 25 years of MiS column.
Paul Breiding awarded early career prize (16.02.2021)
The SIAM Activity Group on Algebraic Geometry has awarded Paul Breiding their Early Career Prize for his distinguished contributions to the field. The selection committee recognizes the current substitute Professor of Computer algebra at the University of Kassel for his "extraordinary work on geometric, statistical, and algorithmic aspects of tensors and their applications". The prize will be officially awarded at the 2021 SIAM Conference on Applied Algebraic Geometry in August.
We’d like to congratulate Paul on this outstanding achievement and would like to take the opportunity to announce his return to the institute as Emmy Noether group leader coming April.
Congrats on Successful Dissertation Defense (12.02.2021)
Congratulations to Mahsa Sayyary Namin on the successful defense of her PhD thesis “Real Algebraic Geometry of the Sextic Curves” which took place online at the University of Leipzig. We are very proud and wish her all the best and much success in her new position as a postdoc at the Mathematical Institute at Goethe Universität Frankfurt.
Let's celebrate Women and Girls in Science (11.02.2021)
Today on February 11 is the International Day of Women and Girls in Science – a perfect day to celebrate the achievements of all ladies working in science related fields. And it is a perfect day for us to announce our institutional membership in the European Women in Mathematics (EWM). We are very proud to be part of this association promoting the role of women in mathematics and invite you to join a variety of events happening today.
Polarization in social media - MPG Interview with Eckehard Olbrich & Sven Banisch (09.02.2021)
Eckehard Olbrich and Sven Banisch were interviewed as part of an MPG focus issue on online hate speech. The two scientists are investigating how opinions are formed in social media and to what extent this leads to increased polarization as part of the Odycceus project (Opinion Dynamics and Cultural Conflict in European Space). The interview (only available in German) goes into the goals of the project, the possibilities of analyzing social processes using mathematical methods and artificial intelligence, and the difficulties they face.
Quadratisch Praktisch Gut, die mathematische Weihnachtsvorlesung (10.12.2020)
Leider konnten wir in diesem Schuljahr keine Projekttage und Veranstaltungen an unserem Institut anbieten. Mit der quadratisch-praktisch-guten Weihnachtsvorlesung unseres Direktors Prof. Bernd Sturmfels möchten wir aber gern ein wenig Wissenschaft in die Schulen bringen.
Wir wünschen eine frohe und besinnliche Weihnachtszeit und wir bedanken uns bei allen Lehrkräften für die großartige Arbeit!
Successful autumn (02.12.2020)
During the last weeks, our IMPRS students Tim Seynnaeve, Paul Görlach, Konstantinos Zemas and Orlando Marigliano successfully defended their dissertations at the University of Leipzig. We are very proud and happy that all of them already left us for attractive academic Postdoc positions. Congratulations!
The mathematics behind the Corona news coverage (05.05.2020 | Last update 25.11.2020)
Our director Felix Otto and Professor Silvia Schöneburg-Lehnert (Mathematical institute, Leipzig University) have started a short video series (in German) with the aim of providing a basic introduction for some mathematical terminology that comes up in the news coverage regarding Corona.
Congrats to our "Woman of Science" Raffaella Mulas (09.11.2020)
Raffaella Mulas, who successfully finished her PhD studies at our institute recently, has been honored in her home of Sardinia with a special award. In 2020 she was declared “Donna di Scienza giovani”. Raffaella dedicates this award to her PhD supervisor Prof. Jürgen Jost and to her Master's thesis supervisor Prof. Ngoc Mai Tran who are “the best guides and sources of inspiration I could wish for during my studies.”
Future proof — Mateusz Michałek (19.10.2020)
After countless publications, the composition of an extensive book on Nonlinear Algebra and many fruitful mathematical discussions Mateusz Michałek has left the institute for a new position at the University of Konstanz. More than three years of exemplary science as research group leader in “Combinatorial Algebraic Geometry” under his belt, he now took on the function of professor of Geometry (Real Geometry and Algebra). We would like to extend our heartfelt congratulations on his well-deserved success and wish him all the best in his new position. Mateusz gives us a wonderful insight into his mathematical uprising and features his research at the institute in our Future proof column.
Congratulations to Ivan Yaroslavtsev! His dissertation on Martingales and Stochastic Calculus in Banach Spaces was awarded the Stieltjes Prize for the best mathematical dissertation published in the academic year 2018/2019 in the Netherlands.
Congratulations to Sven Banisch and Eckehard Olbrich. They have been awarded this year's Anatol Rapoport Prize by the German Society for Sociology for their research on the influence of social feedback on opinion polarization. The prize is awarded every two years by the section „Modellbildung und Simulation“ (DGS-ModSim) for original sociological work in the field of modeling and simulation.
Anatol Rapoport was an American mathematical psychologist. He contributed to general systems theory, mathematical biology, the mathematical modeling of social interaction and stochastic models of contagion.
Discover how opinion polarization in networks propagates via social feedback in this interactive online model and read our previous news on the role of social feedback in opinion polarization.
Future Proof – ERC Starting Grants for Martina Hofmanová and Julian Fischer (07.09.2020)
We would to like to congratulate our former scientists Martina Hofmanová and Julian Fischer who rank among Europe's best young researchers. For their excellent work they have each been awarded an ERC Starting Grant.
Newest research briefs treat combinatorics and opinion models (18.08.2020)
José Alejandro Samper and Alexander Heaton, both part of the Nonlinear Algebra group, provide a brief glimpse into their work on algebraic combinatorics. Their research brief on The ubiquity of linear orders in combinatorics >>> discusses the switch to a language of matroids to capitalize on combinatorial and geometrical structures.
As members of the complex systems group Sven Banisch and Eckehard Olbrich detail some of their work within the Horizon 2020 project Odycceus. They elucidate the use of mathematical models in the opinion formation under social influence in agent-based networks in their research brief on Opinion Models in Odycceus: Social Feedback and Polarization >>>.
Daniele Agostini appointed as Nonlinear Algebra group leader this fall (04.08.2020)
We are proud to announce that Daniele Agostini will become a Nonlinear Algebra group leader at MiS. Agostini already made a name for himself at the institute during his postdoc stay in 2018, coming October he will continue his research on algebraic geometry with a focus on Riemann's theta function.
Kickoff for Linear Spaces of Symmetric Matrices study group (31.07.2020)
Scientists at MiS and other institutes around the globe have just established a collaborative project that aspires to advance the understanding of linear spaces of symmetric matrices (LSSM).
In English, please! (23.07.2020)
From now on the MaxPlanckJournal employee magazine of the Max Planck Society is available in English. Stay informed about the latest news from the Max Planck world in the printed gazette found around the institute, alternatively you can access the PDF here or at max.mpg.de (sorry, only MPG internal).
María Ángeles García-Ferrero awarded with the José Luis Rubio de Francia prize (09.07.2020)
Our former postdoc María Ángeles García-Ferrero was just honored by the Royal Spanish Mathematical Society (RSME) with the José Luis Rubio de Francia prize 2019. Having been selected from the eight nominated young researchers, she is only the second woman to ever receive this prestigious recognition. The jury selected María for her theory of global approximation for the heat equation and its application to the study of hot spots and isothermal surfaces, because "to prove something genuinely new and in such generality about an object as simple and classical as the heat equation is an achievement worthy of the Rubio de Francia prize". The honor is accompanied with a start-up grant of 35,000 € over the next three years.
Research brief on the geometry of optimal design (24.06.2020)
Frank Röttger, who joined the group of Bernd Sturmfels in April 2020 and works on algebraic statistics, just published a new research brief on the geometry of optimal design. He details how information gain can be maximized in the experimental planning phase on the example of ranking players in a chess tournament.
Congratulations on first successful virtual PhD defenses (22.06.2020)
Congratulations to Raffaella Mulas and Pau Vilimelis Aceituno on the successful defense of their PhD theses which took place under special circumstances as online sessions at the University of Leipzig. We are very proud and wish them all the best for their future careers.
Research briefs — Providing insights into recent scientific progress (29.04.2020)
Our institute represents a great variety of research topics that affect current developments both within the natural sciences as well as social and economic life. In our new column research briefs MiS scientists are sharing key ideas and giving insights into recent developments of their research.
The first articles cover:
- Probabilistic outcomes and radical uncertainty in the Corona pandemic
- The intriguing question of curvature
Future proof — South China Sea Masters and Glushko dissertation prize awarded to former MiS Ph.D. students (23.04.2020)
Tinggui Zhang and Damián Blasi, both former Ph.D. students of Jürgen Jost, have been awarded the "South China Sea Masters" youth project funding and the Robert J. Glushko dissertation prizes in cognitive science, respectively.
German-Israeli foundation grant for network curvature research (17.04.2020)
With a grant from the German-Israeli Foundation for Scientific Research and Development (GIF) our director Jürgen Jost and Emil Saucan from the Braude College Israel will continue their successful scientific collaboration for the next three years. Their research focus lies on discrete curvatures for networks, their comparison and applications. Congratulations!
Introducing our regular COVID-19 Data Analysis Update (27.03.2020)
The growing number of people infected with the SARS-CoV-2 virus and the enormous scale of the pandemic pose immense challenges for society and science worldwide. As an international mathematical research institute, we wish to contribute to the discussion by providing a statistical analysis of the growth rates underlying this pandemic.
Future proof — Angkana Rüland (18.03.2020)
After more than two years of excellent research at the institute, Angkana Rüland is leaving us to become a professor of applied mathematics at the Ruprecht-Karls-University in Heidelberg. We would like to congratulate Angkana on her position and wish her all the best in Heidelberg. Learn more about Angkana and her research at the institute in our new Future proof column.
Information regarding COVID-19 (16.03.2020)
Given the current developments and incoming updates about coronavirus (COVID-19), we have decided to reduce access to our institute substantially. However, the MPI MiS is totally alive and operating in an online fashion now.
Read more >>>
Max Planck India Partner Group successfully reviewed and extended (13.03.2020)
Congratulations to the head of our Max Planck India Partner Group Areejit Samal on the successful outcome of the mid-term review and extension of the group until March 2022. The Max Planck Society underlines “The excellent research work in network theory and its applications to biology during the first three years since the inception of the partner group.” We wish Areejit and all group members much success and all the best for the next two years.
Lukas Geuter honored with DMV scholarship to study the dynamics of active systems (19.02.2020)
We would like to give a warm welcome to Lukas Geuter from TU Berlin. Lukas was awarded a study visit scholarship by the German Mathematical Society (DMV) last year. He is in the first year of his PhD and studies the mathematical properties of active systems. During his four week stay in the group of Felix Otto he plans to gain insights into the existence, uniqueness and regularity of solutions for systems of complex fluids and microswimmer suspensions.
This year's DMV student conference (StuKon 2020) will be held at our institute on July 16-17 and offers recent graduates of the mathematical sciences an overview of job perspectives in the field.
Future proof — Tim Laux appointed Bonn Junior Fellow (07.02.2020)
We would like to congratulate our former IMPRS and PhD student Tim Laux on his appointment as Bonn Junior Fellow at the Hausdorff Center for Mathematics (HCM) in January of this year. He continues to be interested in problems of geometric analysis with his current research group on variational methods and mathematical aspects of materials science. At the end of July Tim will be hosting his first workshop at the HCM on the topic of geometric and applied analysis (registration is open until May 31, respectively March 31, 2020, for funding opportunities).
Tim wrote his dissertation under the supervision of Felix Otto on the topic of "Convergence of phase-field models and thresholding schemes via the gradient-flow structure of multi-phase mean-curvature flow". In 2018 he was awarded the prestigious Otto Hahn medal for his outstanding performance as a junior scientist. After his post-doc at the institute, he became a Morrey Visiting Assistant Professor at the University of California, Berkeley.
Interview with Max Planck Fellow Michael Joswig (22.01.2020)
After joining the Max Planck Fellow Programme in December 2019 Michael Joswig sat down with us to talk about his aspirations as a new group leader, his career leading up to this point and where he sees the future of mathematics.
If you feel inspired by his words or would like to know more about his brainchild, you should register for the 11th Polymake conference on January 24th at our institute.
Successful Defense by Pradeep Banerjee (16.01.2020)
Congratulations to Pradeep Kumar Banerjee on the successful defense of his PhD thesis “Unique information and the Blackwell order”.
We wish him all the best and much success in his new positions as a postdoc in Guido Montúfar’s group on “Mathematical Machine Learning”.
Yassine El Maazouz honored with Research internship award (29.11.2019)
Yassine El Maazouz received the Prix du stage de recherche (Research internship award) from the École polytechnique in Paris.
He earned this distinction for his work on the tropicalization of discrete rational maximum likelihood estimation models under the supervision of Professor Bernd Sturmfels of the Nonlinear Algebra group during his summer internship at our institute.
Through the eyes of a woman (23.10.19)
The exhibition “Women of Mathematics throughout Europe” offers a glimpse into the world of mathematics through the eyes of female mathematicians.
- From October 28 to 30 at the MPI / Inselstrasse 22 / Leipzig
- From November 4 at the University of Leipzig / Augusteum / Augustusplatz 10
- Exhibition opening on October 29, 17:45 at the MPI
Renan Assimos Martins successfully defended his PhD Thesis "The Geometry of Maximum Principles and a Bernstein Theorem in Codimension 2".
Congratulations and our best wishes for the future!.
to Nidhi Kaihnsa on her successful doctoral defense! In her dissertation she studies "Algebraic Methods for Dynamical Systems and Optimisation".
With best wishes for her future career.
Spanish Science award for María Ángeles García-Ferrero
María Ángeles García-Ferrero, postdoc in the research group “Rigidity and Flexibility in PDEs” is one of the laureates of this year’s Vicent Caselles Award. This Spanish Science award goes to outstanding young mathematicians recognizing creativity and originality of their scientific results. María Ángeles is especially honored for her PhD thesis studying geometric problems in partial differential equations and the development of global approximation theorems to answer them.
Yue Ren wins Future Leaders Fellowship and will start a research project at Swansea University
A big career step opens for our Dr. Yue Ren, postdoc in the Nonlinear Algebra group. He is one of the laureates of this year’s Future Leaders Fellowship program awarded by UK Research and Innovation. This cross-UK scheme supports early career researchers and innovators with outstanding potential. From January 2020, Yue Ren will conduct a research project “Computational tropical geometry and its applications” at the Swansea University.
Nicolas Perkowski honored with Von Kaven-Award of DFG
The 2019 von Kaven Award of the Deutsche Forschungsgemeinschaft (DFG) is granted to our group leader Prof. Dr. Nicolas Perkowski in recognition for his excellent work in the field of probability theory. The prize ceremony takes place on September 23 at the annual meeting of the German Mathematical Association in Karlsruhe. Congratulations!
Pressreport of the DFG (in German)
Congratulations on successful habilitation
Keyan Ghazi-Zahedi successfully defended his habilitation on “Morphological Intelligence: Information-theoretic quantifications of the morphological contribution to intelligence”. Congratulations and our best wishes for the future! Information about his research projects and publications on embodied intelligence and robotics can be found at:
We are happy to announce that Prof. Michael Joswig from TU Berlin will join our institute as Max Planck Fellow and set up a new group on Mathematical Software starting in December.
The Max Planck Fellow Programme promotes cooperation between outstanding university professors and Max Planck Society researchers.
Michael Joswig works as Einstein Professor of Discrete Mathematics and Geometry at TU Berlin in the fields of polyhedral combinatorics, optimisation and tropical geometry. In particular, he is interested in developing software for research in mathematics and beyond like polymake.
Please apply for open positions!
Mensch Maschine Moral
Wissenschaftskino zu künstlicher Intelligenz und Robotik mit Prof. Nihat Ay und Experten der HTWK Leipzig lockte rund 160 Gäste an.
Die Sieger der diesjährigen HHL-MPI-Leibniz-Matheolympiade sind gekürt.
HERZLICHEN GLÜCKWUNSCH! Wir danken allen teilnehmenden Schülerinnen und Schülern und allen Partnern und Unterstützern des Wettbewerbs.
The well-known representation of chemical elements is just one example of how objects can be arranged and classified. MPI researchers describe a formal mathematical structure that could provide many different periodic systems – not only for chemistry, but also for many other fields of knowledge.
Research News of the Max Planck Society: https://www.mpg.de/13566273/periodic-system-elements
Wilmer Leal and Guillermo Restrepo: “Formal structure of periodic system of elements”
Proceedings of The Royal Society A
A new data-driven approach to a more sophisticated and detailed investigation of the history of chemistry is presented by a research team from MPI MiS and the Interdisciplinary Center for Bioinformatics at the University of Leipzig.
Publication in PNAS on June 11, 2019
Exploration of the chemical space and its three historical regimes
Eugenio J. Llanos, Wilmer Leal, Duc H. Luu, Jürgen Jost, Peter F. Stadler, and Guillermo Restrepo
Künstliche Intelligenz und Robotik als Deus EX MACHINA?
(inkl. gleichnamigem Spielfilm GB 2015)
Dienstag, 4. Juni 2019, 19.00 Uhr
Zeitgeschichtliches Forum Leipzig, Grimmaische Straße 6
Since May 16th the exhibition ship „MS Wissenschaft“ (MS Science) travels through Germany and Austria. On board are two interactive exhibits focusing on embodied AI (artificial intelligence) made by our research group on “Information Theory of Cognitive Systems” led by Prof. Nihat Ay. They visualise the interplay between of the brain, the body and the surrounding environment.
You can find further information about the MS Wissenschaft and the tour plan at: www.ms-wissenschaft.de
Our Sofja Kovalevskaja research group leader Dr Matteo Smerlak has been awarded one of the prestigious Young Investigators Grants from the Human Frontier Sciences Program Organisation (HFSPO). In a collaborative research project he will investigate processes of RNA based evolution.
Tobias Ried was awarded the KIT Doctoral Award for his outstanding doctoral thesis and his scientific work at Karlsruhe Institute of Technology KIT. In his PhD thesis Tobias Ried studied equations from kinetic theory and non-linear optics. Tobias is working now in the research group of Felix Otto.
Professor Bernd Sturmfels, director at the Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany, has been appointed as an ordinary member of the Berlin-Brandenburg Academy of Sciences and Humanities on Friday, November 30th 2018. The official announcement took place at the ceremony on occasion of the Einstein Day 2018.
The interplay between mathematics and theoretical physics is at the center of a new joint initiative of the Faculties of Mathematics and Computer Science, Physics and Geosciences of the University of Leipzig and the Max Planck Institute for Mathematics in the Sciences. The initiative intensifies existing cooperations in these fields and offers students and scientists ample opportunities for scientific exchange. The project is financially supported by the Max Planck Society.
What are the mechanisms and conditions that lead to such polarized political landscapes as the one we live in today? In the article “Opinion polarization by learning from social feedback”, which recently appeared in the Journal of Mathematical Sociology, MPI researchers Sven Banisch and Eckehard Olbrich were able to explain the role of social feedback in the phenomenon of polarization, using mathematical tools from game theory.
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During the first week of October, the Max Planck Institute for Mathematics in the Sciences hosted a conference on “Progress and visions in quantum theory in view of Gravity”, dedicated to the memory of the institute’s founding director Eberhard Zeidler, who sadly passed away in 2016.
With the goal of bringing together physicists, mathematicians and philosophers working in foundations of mathematical physics and of facilitating the exchange of ideas, the workshop had an innovative format with talks in the morning and detailed discussion sessions in the afternoon.
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How do people’s opinions on related topics evolve over time? Why do groups of like-minded people tend to agree on different issues? These and other questions concerning the interdependence of political statements are at the center of a recent preprint by MPI researcher Sven Banisch and Eckehard Olbrich. Their research will be presented during the 2018 Conference on Complex Systems in Thessaloniki, in the Cognition and Linguistic session.
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Researchers from the nonlinear algebra group at MPI MiS and at TU Berlin have been developing a Julia package for solving systems of polynomial equations by numerical homotopy continuation.
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MPI MiS postdoc Ivan Yamshchikov recently appeared on the ARD show Campus Talks, where he gave a presentation on the challenges of bringing creativity into artificial intelligence. In an inspiring presentation, Ivan reported on a project with Aleksei Tikhonov and CreAIted, where they were able to teach artificial intelligence how to write poetry and music lyrics.
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Picture on the right: Portrait of Ivan Yamshchikov © Henrik Jordan
Professor Felix Otto, director at the Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany, has been awarded the Prof. Luigi Tartufari International Prize for Mathematics from the Accademia Nazionale dei Lincei in Rome in the presence of the Italian President. Felix Otto was honored for his numerous contributions to continuum mechanics and to materials science. In particular, his analysis of partial differential equations modelling the flow of a gas in a porous rock or those describing a particle under frictional and random forces, was praised.
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The 1998 paper "The Variational Formulation of the Fokker--Planck Equation", authored by our Director Felix Otto together with Richard Jordan and David Kinderlehrer, is the most downloaded paper of the SIAM Journal on Mathematical Analysis. On the occasion of the Journal's 50th volume, Felix Otto authored a short piece for the SIAM news, offering some insight as to why the paper continues to spark so much interest today. You can read his contribution here.
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Last month, our institute hosted a dedicated Macaulay2 workshop organized by former MPI MiS postdoc Eliana Duarte Gelvez (now at the Otto-von-Guericke Universität Magdeburg), together with Heather Harrington (University of Oxford) and Thomas Kahle (Magdeburg). Around 60 participants from around the world took part in the program, which offered them a unique opportunity to develop their coding skills by getting in touch with the experts.
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Former MPI MiS postdoc Eliana Duarte Gelvez recently met with Gudrun Täter from the Karlsruhe Institute of Technology to record an episode of their Modellansatz Podcast. In their inspiring conversation, they discussed the role of algebraic geometry and polynomial equations in applications as well as Eliana’s personal experience as a mathematician.
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Former IMPRS Ph.D. students Deepan Basu and Tim Laux were amongst 36 young scientists awarded with prizes for their excellent research at the annual meeting of the Max Planck Society in Heidelberg. We congratulate with Deepan and Tim on receiving those prizes and wish them good luck with their career!
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