Announcements
Connecting Modern Research with Riemann’s Vision
Published October 8, 2025
Our scientist Jürgen Jost publishes a new edition of Bernhard Riemann — On the Hypotheses Which Lie at the Bases of Geometry, featuring expanded mathematical insights, a new section on metric geometry and machine learning, and further updates.
This volume presents William Clifford’s English translation of Riemann’s seminal text, enriched with detailed mathematical, historical, and philosophical commentary. It explores Riemann’s revolutionary conception of space and its development by later thinkers such as Helmholtz, Ricci, Weyl, and Einstein.
The second edition offers expanded mathematical insights, a new section on metric geometry and machine learning, a systematic bibliography, and numerous updates throughout.
Appealing to mathematicians, historians, and readers interested in physics or philosophy, the book connects Riemann’s 19th-century vision with modern research and highlights its enduring influence on science and beyond.
More information about the book:
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Announcements
08.10.25
Connecting Modern Research with Riemann’s Vision Connecting Modern Research with Riemann’s Vision
Our scientist Jürgen Jost publishes a new edition of Bernhard Riemann — On the Hypotheses Which Lie at the Bases of Geometry, featuring expanded mathematical insights, a new section on metric geometry and machine learning, and further updates.
Announcements
06.02.25
ϴ-Positivity: A Unifying Framework for Lie Groups ϴ-Positivity: A Unifying Framework for Lie Groups
In a paper recently published in "Inventiones mathematicae", our director Anna Wienhard and Olivier Guichard from the University of Strasbourg introduce a new mathematical framework that generalizes the influential theory of total positivity in split real semisimple Lie groups, expanding its applicability to a broader class of Lie groups.
Announcements
09.07.24
New Proof to Solve a Class of Stochastic Partial Differential Equations New Proof to Solve a Class of Stochastic Partial Differential Equations
A recent paper by Felix Otto, Markus Tempelmayr, Pablo Linares, and Pavlos Tsatsoulis
presents a new approach to solve a class of stochastic partial differential equations. The results are published in "Inventiones mathematicae".
Announcements
21.06.24
Congratulations to Daniel Kráľ on the Humboldt Professorship Congratulations to Daniel Kráľ on the Humboldt Professorship
The internationally renowned mathematician Daniel Kráľ has been nominated for the highest endowed German research prize and will enhance Leipzig's expertise in the field of discrete mathematics as a Humboldt Professor.
Announcements
26.04.24
Elliptic Curves Come to Date Night Elliptic Curves Come to Date Night
In the April Feature Column of the American Mathematical Society İrem Portakal and Bernd Sturmfels speak about game theory and the fascinating geometric structure of equilibria.
Explore the shape of decision-making in the context of a simple cooperative game: what to do for date night.
Announcements
22.04.24
Supporting Young Mathematicians in Europe Supporting Young Mathematicians in Europe
Irina Bobrova, Anna-Laura Sattelberger and Simon Telen represent young researchers in the Young Academy of the European Mathematical Society (EMYA). Discover how they would like to contribute to strengthen the role of and prospects of young mathematicians in Europe.
Announcements
14.03.24
Representing the Interests of Doctoral Researchers Representing the Interests of Doctoral Researchers
Leonie Kayser, Barbara Betti and Anton Ullrich are the new PhD representatives of our institute. Leonie also represents us in the Max Planck Society’s PhD network. Congratulations & much success!
Announcements
05.03.24
New Mathematical Tools for Studying Particle Collisions New Mathematical Tools for Studying Particle Collisions
A collaboration between the mathematicians Claudia Fevola, Simon Telen and the physicist Sebastian Mizera paves the way to more accurate predictions in the Standard Model of particle physics. Their results have just been published in Physical Review Letters.
Announcements
07.02.24
It’s all about Moduli – Journal & Workshop It’s all about Moduli – Journal & Workshop
Our director Anna Wienhard is one of the Managing Editors of the newly launched open access journal "Moduli", and an organizer of the 2024 Summer Workshop in Mathematics at the Simons Center for Geometry and Physics, which is dedicated to the theme of moduli.
Accolades
21.11.23
Anna Wienhard Appointed to Leopoldina Anna Wienhard Appointed to Leopoldina
Our director, Anna Wienhard, was recently elected to the German Academy of Sciences, Leopoldina. Acceptance into the Academy is considered one of the highest academic honors. We extend our sincere congratulations!
Press Releases
26.10.23
Positive Geometry – Millions in Funding for UNIVERSE+ Project Positive Geometry – Millions in Funding for UNIVERSE+ Project
The European Research Council (ERC) has granted a €10 million Synergy Grant to the UNIVERSE+ project. The project aims to develop a new mathematical language to describe physical phenomena at all scales, from particles to the universe's structure.
In Conversation
15.09.23
Samantha Fairchild Establishes New Research Group to Cross the Transcendental Divide Samantha Fairchild Establishes New Research Group to Cross the Transcendental Divide
Samantha Fairchild just launched her Discrete Sets in Geometry group. In our interview, she covers dynamical systems, transcendental theory, and more. She also seeks a postdoc to join her ambitious effort to explore intersections across mathematics.
Future Proof
23.05.23
Wolfram Barfuss Appointed Professor for Sustainable Futures Wolfram Barfuss Appointed Professor for Sustainable Futures
We are proud to announce that Wolfram Barfuss, a former postdoc of Jürgen Jost, has been appointed Professor in the transdisciplinary research area Innovation and Technology for Sustainable Futures at the University of Bonn. Congratulations to Wolfram on this exciting new appointment!
Press Releases
25.04.23
Social Media for More Democracy – Million-Euro Funding for Project to Study the Impact of Social Media on Society and Politics Social Media for More Democracy – Million-Euro Funding for Project to Study the Impact…
Social media is an increasingly important element of public discourse and has gained enormous influence in recent years. A research project coordinated by MiS explores the communication mechanisms in social media and their impact on political discourse and liberal democracy.
Announcements
24.03.23
Abel Laureate Luis A. Caffarelli to Speak at “Shocking Developments” Conference Abel Laureate Luis A. Caffarelli to Speak at “Shocking Developments” Conference
Congratulations to Luis A. Caffarelli for being honored with the prestigious Abel Prize!
Future Proof
13.02.23
Angkana Rüland Appointed to Hausdorff Chair Angkana Rüland Appointed to Hausdorff Chair
We are thrilled to share the news that our former Research group leader Angkana Rüland will take up a prestigious Hausdorff Chair professorship at the Hausdorff Center for Mathematics (HCM) in Bonn.
Future Proof
01.02.23
Future Proof — Raffaella Mulas on the Way to Amsterdam Future Proof — Raffaella Mulas on the Way to Amsterdam
The next step in her scientific career will take our group leader Raffaella Mulas to the Vrije Universiteit Amsterdam, where she has been appointed Assistant Professor of Applied Mathematics. Congratulations and all the best for the future!
Future Proof
16.01.23
Describing How Fluids Flow – Tristan Buckmaster Appointed Professor at University of Maryland Describing How Fluids Flow – Tristan Buckmaster Appointed Professor at University of…
Congratulations and best wishes go to our former IMPRS student Tristan Buckmaster who has to announce a great career step. In July last year he was appointed Professor of Mathematics at the University of Maryland.
Announcements
01.12.22
Congrats to our new Doctors rer. nat. Congrats to our new Doctors rer. nat.
Once again, we are happy to announce that three of our students took a big career step and successfully defended their PhD theses. Congratulations to Chiara Meroni, Henrik Eisenmann, and Daniel Schliewe!
Press Releases
02.11.22
Fascinated by Symmetries – Anna Wienhard Appointed Director at the Max Planck Institute for Mathematics in the Sciences Fascinated by Symmetries – Anna Wienhard Appointed Director at the Max Planck Institute…
We are delighted to welcome Prof. Anna Wienhard as our new Max Planck director! Her newly established research group focuses on fundamental research in the areas of geometry, group theory, and dynamics.
Press Releases
14.07.22
László Székelyhidi Is Appointed Director at the Max Planck Institute for Mathematics in the Sciences László Székelyhidi Is Appointed Director at the Max Planck Institute for Mathematics in…
The Leipzig mathematician and university professor László Székelyhidi was appointed director at the MPI MiS. Prof. Székelyhidi's research focuses on partial differential equations and the calculus of variations and their application.
Announcements
23.05.22
Center for artificial intelligence approved Center for artificial intelligence approved
We are very proud to be part of the Konrad Zuse School of Embedded Composite AI (SECAI) which will be established under the lead of TU Dresden as one of three centers for artificial intelligence in Germany.
Announcements
20.05.22
Max Planck Partner Group in Brazil Max Planck Partner Group in Brazil
We are happy to announce the launch of a new Max Planck Partner Group in Brazil with focus on geometry and probability in dynamical systems. Led by Christian S. Rodrigues, the group will work in close cooperation with our director Jürgen Jost and his group members.
Announcements
03.05.22
Welcome to the new Alexander von Humboldt Professor Sayan Mukherjee Welcome to the new Alexander von Humboldt Professor Sayan Mukherjee
We are happy and proud to welcome Sayan Mukherjee as an Alexander von Humboldt Professor at the University of Leipzig and as a Max Planck fellow at our institute.
Job Openings
25.02.22
SAXAG Algebraic Geometry initiative starts with Postdoc call SAXAG Algebraic Geometry initiative starts with Postdoc call
The joint project SAXAG plans to establish a network connecting research in algebraic geometry across Saxony. They welcome applications for three Postdoc positions in Leipzig and Chemnitz.
Accolades
15.02.22
Guido Montúfar selected as Sloan Research Fellow in Mathematics Guido Montúfar selected as Sloan Research Fellow in Mathematics
The Alfred P. Sloan Foundation has awarded Guido Montúfar a prestigious two-year $75,000 fellowship for his mathematical machine learning research.
Announcements
12.07.21
Making optimal use of mathematical research data Making optimal use of mathematical research data
Our institute will be part of the “Mathematical Research Data Initiative” MaRDI. This consortium aims to set standards for certified mathematical research data, the design of confirmable workflows, and it provides services for the scientific community.
Announcements
02.07.21
New Alexander von Humboldt Professorship for Artificial Intelligence 2022 – Sayan Mukherjee nominated New Alexander von Humboldt Professorship for Artificial Intelligence 2022 – Sayan…
The University of Leipzig, in cooperation with the MPI MiS, has attracted Germany's most valuable research award: Professor Sayan Mukherjee has been nominated for an Alexander von Humboldt Professorship 2022.
Announcements
15.04.21
Nihat Ay is the new Editor-in-Chief of INGE Nihat Ay is the new Editor-in-Chief of INGE
Congratulations to Nihat Ay! He was appointed Editor-in-Chief of the Springer journal on Information Geometry.
Events
12.03.21
International Day of Mathematics 2021 International Day of Mathematics 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.
Accolades
16.02.21
Paul Breiding Awarded Early Career Prize Paul Breiding Awarded Early Career Prize
The SIAM Activity Group on Algebraic Geometry has awarded Paul Breiding their Early Career Prize for his distinguished contributions to the field.
Women in Science
11.02.21
Let's Celebrate Women and Girls in Science Let's Celebrate Women and Girls in Science
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.
Announcements
04.08.20
Daniele Agostini Appointed as Nonlinear Algebra Group Leader This Fall Daniele Agostini Appointed as Nonlinear Algebra Group Leader This Fall
We are proud to announce that Daniele Agostini will become a Nonlinear Algebra group leader at MiS.
Miscellaneous
31.07.20
Kickoff for Linear Spaces of Symmetric Matrices Study Group Kickoff for Linear Spaces of Symmetric Matrices Study Group
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).
Announcements
17.04.20
German-Israeli Foundation Grant for Network Curvature Research German-Israeli Foundation Grant for Network Curvature Research
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.
Press Releases
14.04.20
Dr. Noémie Combe on the Fast Track to Structural Unification Dr. Noémie Combe on the Fast Track to Structural Unification
Dr. Noémie Combe was awarded a Minerva Fast Track position by the Max Planck Society. The young scientist is honored for her promising research at the intersection of algebraic geometry and topology.
Future Proof
18.03.20
Future Proof — Angkana Rüland Future Proof — Angkana Rüland
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.
Announcements
19.02.20
Lukas Geuter Honored With DMV Scholarship to Study the Dynamics of Active Systems Lukas Geuter Honored With DMV Scholarship to Study the Dynamics of Active Systems
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.
Press Releases
02.12.19
An Exceptional Enrichment for Mathematical Research in Leipzig An Exceptional Enrichment for Mathematical Research in Leipzig
Prof. Dr. Michael Joswig, Einstein-Professor of discrete mathematics and geometry at the Technical University of Berlin, was appointed Max Planck Fellow by the Max Planck Society.
Announcements
25.07.19
Max Planck Fellowship and New Group for Prof. Michael Joswig Max Planck Fellowship and New Group for Prof. Michael Joswig
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.
Announcements
03.12.18
Bernd Sturmfels Appointed as Ordinary Member of the Berlin-Brandenburg Academy of Sciences and Humanities Bernd Sturmfels Appointed as Ordinary Member of the Berlin-Brandenburg Academy of…
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.
Press Releases
12.11.18
First Steps Towards a New Mathematical Physics Center in Leipzig First Steps Towards a New Mathematical Physics Center in Leipzig
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.
Press Releases
21.08.18
Looking at Data Through the Lens of Algebraic Geometry Looking at Data Through the Lens of Algebraic Geometry
In the recent article “Learning algebraic varieties from samples”, a group of researchers from the Max Planck Institute for Mathematics in the Sciences has presented a novel approach to the analysis of datasets that possess an inherent geometric structure.
Press Releases
19.06.18
Detecting Crises with the Aid of Social Networks – International Conference Connects Scientists in Leipzig Detecting Crises with the Aid of Social Networks – International Conference Connects…
Communication mechanisms in social networks are at the centre of the international conference currently taking place at the Max Planck Institute for Mathematics in the Sciences.
Press Releases
07.06.18
Meaningful Relationships – Mathematical Insights into the Geometry of Complex Networks Meaningful Relationships – Mathematical Insights into the Geometry of Complex Networks
Mathematicians from the MPI MiS, in cooperation with the Santa Fé Institute, USA and scientists from India, China, and Israel, have provided concrete proof of the effectiveness of geometrical tools in describing the variety of relationships in complex networks.
Press Releases
29.09.17
Conference in Memory of the Great Leipzig Mathematician Eberhard Zeidler Conference in Memory of the Great Leipzig Mathematician Eberhard Zeidler
On October 6 at 10 a.m., a conference will be held in honor of the mathematician and founding director of the Max Planck Institute for Mathematics in the Sciences, Prof. Dr. Dr. h.c. Eberhard Zeidler.
Press Releases
05.09.17
2017 Sofja Kovalevskaja Award Winner Conducting Research at MPI 2017 Sofja Kovalevskaja Award Winner Conducting Research at MPI
The 2017 Sofja Kovalevskaja Award winner Dr. Matteo Smerlak will be conducting research on the topic of “Structure of Evolution” at the Max Planck Institute for Mathematics in the Sciences starting in December 2017.
Press Releases
11.05.17
Bernd Sturmfels Appointed New Director Bernd Sturmfels Appointed New Director
Bernd Sturmfels has joined the board of directors of the Max Planck Institute for Mathematics in the Sciences. He will head a new working group on “Nonlinear Algebra” at the institute.
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