Trends in Mathematical Sciences

From June 10 – 14, 2024, our FAU MoD, Research Center for Mathematics of Data at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg is hosting the first “Trends in Mathematical Sciences” conference (in hybrid mode: on-site/online). This event is made possible thanks to the support of our FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship, the Alexander von Humboldt Stiftung (Humboldt Foundation), and the São Paulo Research Foundation (FAPESP). The conference will be organized in Erlangen – Bavaria, Germany.

Opening by the President of FAU, Joachim Hornegger: “On the role of Mathematics for AI at FAU”.

The Trends in Mathematical Sciences’ primary objective is to establish a collaborative platform for researchers from Latin America and Europe, fostering networks and strengthening scientific and technological cooperation in mathematical sciences. Emphasizing optimization, control and inverse problems, data science, and applied mathematics, the event aims to explore contemporary challenges and emerging applications within these domains.

NEW! Check all resources after event:

The event has two main goals:
– To provide a platform for in-depth exploration of mathematical sciences, encouraging interdisciplinary collaboration and highlighting diverse theoretical foundations and transformative applications.
– To gather leading researchers in applied mathematics, presenting the state of the art and exploring future horizons within the discipline.

The multidisciplinary nature of the conference will address various applied topics, including population dynamics, material homogenization, stochastic differential equations, random growth models, computational fluid mechanics, optimization, and the application of artificial intelligence in mathematical modeling. Thus, the range of topics to be addressed is wide and this is evident in the people who are confirmed to participate in the conference. These are just a few glimpses into the diverse facets of mathematical sciences that will be explored at this congress.

[Online] Live-streaming link:


#TrendsInMaths2024 Watch the video teaser | (Full version)



Registration is free but mandatory.
Registration is closed.
*After the event, an attendance certificate will be sent by email (Non-academic credits).



Fernanda Andrade da Silva. University of São Paulo (Brazil)
Lecture: Unifying stability theory for stochastic equations

Maria Soledad Aronna. School of Applied Mathematics, Getulio Vargas Foundation, Rio de Janeiro (Brazil)
Lecture: Control of disease dynamics

Octavio Arizmendi Echegaray. Centro de Investigación en Matemáticas, A.C. (Mexico)
Lecture: Spectral Deconvolution of Random Matrices via Free Probability

Carlos Conca. University of Chile (Chile)
Lecture: A multiscale inverse problem approached via homogenization: A numerical method

Everaldo de Mello Bonotto. University of São Paulo (Brazil)
Lecture: Impulsive evolution processes: abstract results and an application to a coupled wave equations

Joachim Escher. Vice-president of Leibniz University and President of the DMV, German Mathematical Society (Germany)
Lecture: The Rayleigh–Taylor Condition for the Muskat Problem

Jaqueline Godoy Mesquita. University of Brasília. President of the Brazilian Mathematical Society (Brazil)
Lecture: Neutral functional differential equations with state-dependent delays and applications

Matthias Hieber. Technical University of Darmstadt (Germany)
Lecture: Analysis of Geophysical Flows

Joachim Hornegger. President of FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Lecture: On the role of Mathematics for AI at FAU

Ansgar Jüngel. Institute of Analysis and Scientific Computing, Vienna University of Technology (Austria)
Lecture: Memristor drift-diffusion systems for brain-inspired neuromorphic computing

Ludmil Katzarkov. University of Miami (USA)
Lecture: Atoms, electrons and birational invariants

Carlile Lavor. University of Campinas (Brazil)
Lecture: Different Models for 3D Space in Molecular Geometry

Günter Leugering. FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Lecture: Domain decomposition for space-time fractional optimal control problems on metric graphs

Frauke Liers. FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Lecture: Trends in Optimization under Uncertainty

Juan Límaco. UFF, Federal Fluminense University (Brazil)
Lecture: Controllability of the N-dimensional Ladyzhenskaya-Boussinesq model

Alexander Martin. Vice-President Research, Innovation and Entrepreneurship, Technical University of Nürnberg (Germany)
Lecture: Mixed Integer Optimization Problems on Networks with PDE Constraints

Wladimir Neves. Federal University of Rio de Janeiro (Brazil)
Lecture: The Hele-Shaw free boundary limit of Buckley-Leverett System

Juan Pablo Ortega. School of Physical and Mathematical Sciences, Nanyang Technological University (Singapore)
Lecture: A Structure-Preserving Kernel Method for Learning Hamiltonian Systems

Diego Samuel Rodrigues. School of Technology, UNICAMP, Limeira, SP (Brazil)
Lecture: Accessing the Pharmacokinetics of Magnetic Nanoparticles in Cirrhosis-Associated Hepatocarcinogenesis by Ordinary Differential Equation Modeling and AC Biosusceptometry

Hermann Schulz-Baldes. FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Lecture: Mathematics for topological materials

Yongcun Song. FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship. Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Lecture: Physics-informed neural networks for non-smooth PDE-constrained optimization problems

Angela Stevens. Institute for Applied Mathematics: Analysis and Numerics, University of Münster, (Germany)
Lecture: A view on the ‘physics’ of Covid-19 through data and invariants of kinetic equations

Marius Tucsnak. Bordeaux Institute of Mathematics, University of Bordeaux (France).
Lecture: A general theory of norm and time optimal control problems for linear PDE systems

Karsten Urban. Institute of Numerical Mathematics, Ulm University (Germany).
Lecture: Model reduction of parametric PDEs – Advances, trends, and challenges

Yue Wang. FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship / FAU MoD, Research Center for Mathematics of Data. Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany).
Lecture: Networked Hyperbolic Systems: Modeling, Control and Efficient Simulation

Jorge Zubelli. Mathematics Department, Khalifa University, Abu Dhabi (United Arab Emirates)
Lecture: Local Volatility Estimation in the Presence of Jumps


See the poster of the conference



This event is open to: Public, Students, Postdocs, Professors, Faculty, Alumni


The event revolves around two primary types of activities:
• Plenary lectures: Two to three per day, featuring distinguished experts who will provide an up-to-date view of their respective fields, pose open questions and outline future lines of research.

• Thematic sessions: Tailored to smaller groups with common interests, these informal sessions provide a platform for numerous participants to present their work and foster collaborative dynamics.

Schedule of the conference

*Last update: June 11, 2024


Round-table EU-Latin America

• FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg: Patrik Stör
• SBM, Brazilian Society of Mathematics: Jaqueline Godoy Mesquita (President)
• BAYLAT, Bavarian University Center for Latin America: Irma de Melo-Reiners (Managing Director) and Ricardo Hagn (Public Relations and Scholarships)



Enrique Zuazua. FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Jaqueline Godoy Mesquita. University of Brasília. President of the Brazilian Mathematical Society (Brazil)
Yue Wang. FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Everaldo de Mello Bonotto. Coordinator from the University of São Paulo (Brazil)



Sebastián Zamorano Aliaga. University of Santiago of Chile. Humboldt Fellow (Chile)
Duván Cardona. FWO, Research Foundation – Flanders, Ghent University (Belgium)
Magaly Roldán Plumey. BAYLAT (Germany)
Darlis Bracho Tudares. FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)



Mon. – Fri. June 10 – 14, 2024 • 09:00H
This event at your local time



On-site / Online

[On-site] Universitätsstraße 15, 91054 Erlangen, Bavaria (Germany)
KH 1.011 Senatssaal (Senate Hall) im Kollegienhaus
How to get to Erlangen?

[Online] Live-streaming link:


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The event is finished.


Mon. - Fri. Jun 10 - 14, 2024


09:00 - 18:00



Other Organizers

Alexander von Humboldt Stiftung
Alexander von Humboldt Stiftung
FAPESP. The São Paulo Research Foundation
FAPESP. The São Paulo Research Foundation