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.

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.

#TrendsInMaths2024 Watch the video teaser | (Full version)


LECTURES • Mon. June 10, 2024

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


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


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 (Slides)


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 (Slides)


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


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


LECTURES • Tue. June 11, 2024

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 (Slides)


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


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 (Slides)


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


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


LECTURES • Wed. June 12, 2024

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


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


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


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


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


LECTURES • Thu. June 13, 2024

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
Recording (FAU only):


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


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


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


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


LECTURES • Fri. June 14, 2024

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


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


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


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


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


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


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)



Kevin-Martin Aigner, FAU – Friedrich-Alexander-Universität Erlangen-Nürnberg
A Framework for Data-driven Explainability in Mathematical Optimization

Antonio Álvarez López, UAM, Universidad Autónoma de Madrid
Optimized classification with neural ODEs

Maykel Boldrin Belluzi, Universidade de São Paulo
Some results on the asymptotic dynamics of non-dissipative problems: unbounded attractors

Robson Ricardo de Araujo, Federal Institute of Education, Science and Technology of São Paulo
Lattices for reliable and secure communications: recent advances and new possibilities

Erick Delgado Moya, FT-UNICAMP
A Mathematical Study of a Simplified Kinetic Model for the Tropospheric Ozone Cycle
A mathematical model for the impact of PrEP use and its increase in coverage on the transmission of HIV/AIDS: Study in Brazil.

Maria Filipkovska, FAU DCN-AvH Chair for Dynamics Control, Machine Learning and Numerics – Alexander von Humboldt Professorship
Dissipativity and stability of higher-index abstract differential-algebraic equations and applications

Andre Gomes, UNICAMP
On Rigidity of Horizontal Curvature Bounds of Isometric Actions

Jonas Knoch, FAU – Friedrich-Alexander-Universität Erlangen-Nürnberg
Efficient Numerical Simulation of Effective Micro-Macro Models for Reactive Transport in Elastic Perforated Media

Marina Lima Morais, University of São Paulo
Mathematical Modelling and Simulations of Successive Waves of COVID-19 in Brazil

Heraclio Lopez Lazaro, University of São Paulo
Attractors with finite fractal dimension for evolution equations acting on families of time-dependent phase spaces

Hugo Luis Oliveira, Universidade Estadual de Campinas
Theoretical-computational investigation of the in- service behaviour of the Wheatley Aortic Valve

Oscar Sierra Fonseca, School of Applied Mathematics, Getulio Vargas Foundation
Proximal Solutions of the Hamilton-Jacobi-Bellman Equation for a Riemann-Stieltjes Control Problem

Carlos Roberto Takasessu, University of São Paulo / Complutense University of Madrid
Shadowing on Hilbert Spaces



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



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:


Photo Gallery


This event at LinkedIn


#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).
(!) Certificates will be sent (by email) on the next days; thank you for your participation!
Last update: July 11, 2024

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