Omar Mohsen is a Lecturer at the University of Paris-Saclay since 2021, specializing in mathematics with a focus on partial differential equations and sub-Riemannian geometry. He completed his PhD in 2018 at the University of Paris-Cité under Georges Skandalis, where his work centered on noncommutative geometry. Notably, he advanced the study of maximally hypoelliptic differential operators by proving the Helffer-Nourrigat conjecture using C*-algebras of singular foliations and deriving a topological formula for their analytic index. His research bridges noncommutative geometry with sub-Riemannian structures, leveraging operator algebras to address hypoellipticity. He has been recognized with the prestigious Peccot Course award from the Collège de France (2024-2025), proposed by Professor Nalini Anantharaman. As a guest speaker, he will deliver a lecture series titled On Maximal Hypoellipticity and Sub-Riemannian Geometry at the Mireille Delmas-Marty Amphitheater in March-April 2025.
Frédéric JEAN is a Professor and Director of the Unité de Mathématiques Appliquées (UMA) at ENSTA Paris. His expertise lies in nonlinear control theory and geometric control, with applications in neurophysiology modeling. He holds an HDR (Habilitation à Diriger des Recherches) and advises doctoral students across multiple domains. Research Interests: Frédéric’s research focuses on geometric control theory, sub-Riemannian geometry, optimal control, and nonholonomic systems. His work bridges theoretical advancements with practical applications in neurophysiology and aerospace engineering. Recent studies include trajectory planning for planetary landings and robust control strategies under uncertainty. Teaching: He teaches courses on applied differential geometry, dynamical systems analysis, and control systems at ENSTA Paris. Publications: His recent work emphasizes sub-Riemannian geometry, stochastic control, and aerospace applications. Key trends include optimal control in constrained systems and geometric approaches to robotic and biological movement. Students: Co-supervised over 10 doctoral theses, including those by Clara Leparoux (2023), Meryem Kafnemer (2022), and Sofya Maslovskaya (2018). Labs/Teams: Active within the Optimization and Commande team at UMA, contributing to interdisciplinary research in control systems and applied mathematics.
Alain Trouvé is a Professor at the Center for Mathematics and Their Applications (CMLA) within the Ecole Normale Supérieure de Cachan , France. His research focuses on Shape Spaces , Computational Anatomy , Imaging Processing , and Biological Imaging , with applications in medical and computational fields. He directs the Mathematics Department at ENS Cachan and contributes to neuroanatomical studies through diffeomorphometry techniques. Key roles include membership in the Conseil National des Universités (Section 26) and teaching responsibilities such as courses on Geometry and Shape Spaces and Probability Theory . His work spans from theoretical frameworks (e.g., Hamiltonian modeling of shape evolution) to practical applications like 3D cell imaging and white matter fiber analysis. Publications emphasize interdisciplinary methods, including diffeomorphic registration, varifold-based image analysis, and stochastic shape evolutions. Current projects explore multi-scale modeling of biological systems and AI-driven medical diagnostics. Key Research Themes: Diffeomorphic mappings, computational vision, and functional shape analysis. Teaching: Courses on geometric modeling and probability at undergraduate and graduate levels. Tools Developed: xIV-LDDMM Toolkit for multi-modal biomedical data analysis.
Ludovic Sacchelli is an Inria researcher (CR) affiliated with the McTAO team at the Centre Inria d'Université Côte d'Azur and the Laboratoire J.A. Dieudonné of Université Côte d'Azur. His research spans control theory, sub-Riemannian geometry, and mathematical neuroscience, focusing on optimal control, observers, and estimation problems. His work on sub-Riemannian manifolds and control systems includes stabilization techniques for non-uniformly observable systems and applications to UAV control, neural fields, and bioprocess modeling. He has contributed to heat kernel analysis, line fields interpolation, and geometric models for sound processing. His recent publications address topics like distributed state estimation in neural models, polynomial state-affine control systems, and geometric algorithms for orientation field interpolation. He has also explored observability singularities in bilinear systems and stabilization of weakly contractive systems. Teaching roles include instructing Measure Theory , Stochastic Processes , and applied mathematics at institutions such as Université Côte d'Azur, Polytech Nice, Lehigh University, and École Polytechnique. His mentorship includes supervising a Masters research project on numerical implementation of line fields interpolation in 2019.
Ludovic Rifford is a Professor of Mathematics at University Côte d'Azur and holds the CNRS-AIMS Chair in Mathematics at AIMS Senegal. He serves as Secretary for Policy of the Commission for Developing Countries within the International Mathematical Union and previously as Executive Director of CIMPA (2016-2020). Education: PhD in Mathematics, Université Lyon I (2000) Habilitation à diriger des recherches, Université Paris XI (2005) Rifford's research focuses on Sub-Riemannian Geometry, Optimal Transport, and Geometric Control Theory. His work addresses the Sard Conjecture for sub-Riemannian structures, measure contraction properties, and regularity of solutions to Hamilton-Jacobi equations. Recent projects explore convex integration techniques and singular minimizing geodesics. The 15 most recent publications highlight advancements in geometric analysis, including the Sard Conjecture, optimal transport on manifolds, and dynamics of geodesic flows. Key subtopics include curvature analysis, mixed convex integration, subanalytic distributions, and applications to dynamical systems. Scientific Honors: Distinguished invited Professor at Universidad de Chile (2015) Eisenbud Professor at Mathematical Sciences Research Institute (2013) Junior member of Institut Universitaire de France (2011-2016) Rifford actively supports international collaborations through workshops and research schools in Africa, organizing funding for conferences like the Workshop on Geometry and Topology at AIMS-Cameroon (2025) and mentoring mathematicians across sub-Saharan universities.
Rachida EL ASSOUDI is a lecturer at the INSA Rouen Normandie , specializing in Mathematical Engineering . Her research focuses on control theory, geometric control, and sub-Riemannian geometry. Research Themes: Controllability and optimal control, integrability of geodesic equations, classification of nilpotent sub-Riemannian spaces. Teaching: Involved in the Génie Mathématique program (GM3, GM4, GM5). Administrative Roles: Member of CNU Section 26 since November 2019. LMI representative for INSA Euro-Mediterranée. Member of INSA Rouen’s Council of Studies and Quality Commission since 2014. LMI mediator at Doctoral School SPMII. Her publications highlight interdisciplinary work at the intersection of control theory, Lie algebras, dynamical systems, and chemical engineering. She collaborates with researchers such as W. Respondek and A. Maciejewski (Poland).
Dario Prandi is a Researcher at the Laboratoire des Signaux et Systèmes (L2S) within CentraleSupélec, located in Gif-sur-Yvette, France. His work bridges mathematical analysis, control theory, and neuroscience, with a focus on geometric models of vision and auditory processing. He holds a PhD from École Polytechnique (2013) and has authored numerous high-impact publications in journals like SIAM and IEEE conferences. Research interests span sub-Riemannian geometry, neural field equations, and mathematical neuroscience. Notable contributions include cortical-inspired models explaining visual illusions (e.g., MacKay and Poggendorff effects), sound reconstruction via bio-inspired geometric frameworks, and the application of control theory to image processing and neural dynamics. His work often combines advanced mathematical techniques with applications in biomedical engineering and artificial perception. Recent activities include developing homogeneous observers for cortical activity models and analyzing decay rates in nonlinear systems. He collaborates extensively with institutions like Inria and the University of Paris-Saclay, contributing to transversal research axes in energy, Industry 4.0, and health technologies. Labs/Teams: Member of L2S's research groups Modélisation et Estimation, Problèmes Inverses, and the Automatique et Systèmes department. His research aligns with interdisciplinary projects in geometric science of information and hypoelliptic diffusion processes.
Ludovic Rifford is a Professor of Mathematics at Université Côte d'Azur and holds the CNRS-AIMS Chair in Mathematics at AIMS-Senegal (2023-2027). He has held visiting positions at institutions including Universidad de Chile, Mathematical Sciences Research Institute (Berkeley), and Centro de Modelamiento Matemático. His research focuses on Sub-Riemannian Geometry, Optimal Transport, and Control Theory. Education: PhD in Mathematics, Université Lyon I (2000) Habilitation à Diriger des Recherches, Université Paris XI (2005) Rifford's work addresses fundamental problems in geometric control theory, including the Sard Conjecture for sub-Riemannian structures, regularity of optimal transport maps, and Hamilton-Jacobi equations. His 2025 preprints explore mixed convex integration and analytic minimal rank Sard conjectures. Scientific Awards: Junior Member, Institut Universitaire de France (2011-2016) He has organized numerous international workshops in Africa, including the Conference at the Frontiers of Sub-Riemannian Geometry (2024) and Differential Geometry at AIMS-Senegal (2024), emphasizing his commitment to scientific collaboration between France and Africa.
Cyril Letrouit is a Research Fellow at the CNRS (recruited in 2022) affiliated with the Orsay Mathematics Laboratory. He earned his PhD in 2021 under the supervision of Emmanuel Trélat and Yves Colin de Verdière at the École Normale Supérieure (ENS), followed by postdoctoral research at MIT (2022-2023). His work bridges geometry and partial differential equations to study physical properties, focusing on wave propagation and control in sub-Riemannian geometries, standing waves on manifolds and graphs, and analytical tools for artificial intelligence applications. His research intersects pure mathematics and applied fields, collaborating with institutions in France, Switzerland, Italy, Canada, and the U.S. He is currently delivering a lecture series at the Collège de France (2025) on Quantitative Stability of Optimal Transport , addressing sensitivity of transport maps to perturbations of target measures, with applications to machine learning. Academic Background : École Normale Supérieure (ENS), PhD in Mathematics (2021). Postdoctoral Experience : Massachusetts Institute of Technology (MIT), 2022-2023. Research Themes : Geometry's influence on physical properties, PDEs, wave dynamics, AI applications. Scientific Awards : Peccot course (Collège de France), 2024-2025.
Jean-Baptiste Caillau is a Professor of Applied Mathematics at Université Côte d'Azur, where he holds positions with CNRS, Inria, and the Laboratoire J.A. Dieudonné (LJAD). He is an active member of the CNRS research team Géométrie, Dynamique & Topologie and the Inria team McTAO in Sophia-Antipolis. His academic work spans multiple institutions including Polytech Nice Sophia where he teaches in the Department of Applied Mathematics and Modeling. Caillau's research focuses on optimization and control theory, with particular expertise in geometric control, orbital mechanics, and applications to aerospace engineering and systems biology. His work bridges theoretical mathematics with practical applications, especially in spacecraft trajectory optimization, bacterial resource allocation models, and computational methods for optimal control problems. He has developed significant software tools including the control-toolbox project, HamPath, and cotcot, which have become important resources in the optimal control community. Analysis of his recent publications reveals a strong trend toward interdisciplinary applications of control theory, particularly in biological systems (bacterial growth models, resource allocation) and aerospace engineering (solar sails, orbital mechanics). His work consistently combines deep mathematical analysis with practical computational methods, demonstrating expertise in both theoretical developments and numerical implementations. Recent publications show increasing focus on applications in systems biology while maintaining strong connections to geometric control theory and aerospace applications. best paper award at the 18th IFAC Workshop on Control Applications of Optimization, Paris, July 2022 Caillau actively participates in the academic community through seminar organization (Analyse & dynamique seminar, OptAzur), conference participation, and collaborative projects including the PDE-AI project (PEPR IA). His research has evolved from fundamental geometric control theory toward increasingly interdisciplinary applications while maintaining strong theoretical foundations. His GitHub activity shows ongoing development of computational tools for optimal control, reflecting his commitment to making theoretical advances accessible through practical software implementations. Caillau leads or participates in multiple research teams including the McTAO Inria team and the Géométrie, Dynamique & Topologie CNRS team at LJAD. His work connects mathematical theory with practical applications through collaborations with researchers across disciplines, particularly in aerospace engineering and systems biology.
Michel Rumin is a Lecturer at the Orsay Institute of Mathematics, University of Paris-Sud, France, with his office located in Building 307, Office 2N22 at the Orsay campus. He teaches advanced mathematics courses for engineering and physics students, including the Master M2 MSV deterministic modeling module and first-year Polytech engineering pathway covering linear algebra, differential equations, and numerical integration using Scilab practical work. Rumin's research centers on differential geometry and spectral theory, with specialized expertise in contact manifolds, sub-Riemannian geometry, and Carnot groups. His work explores cohomology, spectral invariants, and analytic torsions, bridging geometric structures with analytical methods. Key contributions include foundational results on differential forms for contact manifolds (1990) and recent advances in topological aspects of spectral invariants (2024). Analysis of his 13 publications from 1990-2024 reveals a consistent trajectory in geometric analysis: early work established frameworks for contact geometry, evolving through Carnot group cohomology (2018) toward dynamical/topological investigations of spectral invariants (2024). His research demonstrates persistent focus on non-Riemannian geometric structures, with increasing integration of topological and dynamical systems perspectives in recent years. Scientific awards: No awards or fellowships are documented in the available materials. Rumin actively mentors students through structured teaching materials including worksheets, test annals (2014-2016), and Scilab practical sessions for linear algebra and differential equations. His S2 PMCP course prepares students for physics competitive exams with comprehensive notes on vector spaces and matrix calculus. No research grants or laboratory affiliations are specified in the provided documentation.
EL ASSOUDI Rachida is affiliated with INSA Rouen Normandie, where she contributes to the Department of Mathematical Engineering. Her research focuses on Control Theory, Dynamical Systems, and Sub-Riemannian Geometry, with applications to Automatics and Chemical Engineering. She co-advised doctoral student Khaled Dahamna (2011) and collaborates internationally, notably with A. Maciejewski (Poland). Administratively, she holds roles including Member of the CNU 26 section (since 2019), INSA Rouen Studies Council (since 2014), and represents LMI in multiple committees. Her teaching includes Mathematical Engineering courses (GM3, GM4, GM5). Recent publications emphasize geometric control theory and chemical reactor analysis. She actively engages in institutional governance and academic coordination.
Eugenio Pozzoli is a CNRS permanent researcher (chargé de recherche) since 2023, jointly affiliated with the Rennes Institute of Mathematical Research (IRMAR) at the University of Rennes and the École Normale Supérieure de Rennes (ENS Rennes). His research bridges advanced mathematics and quantum physics, focusing on control theory for partial differential equations and quantum mechanical systems with applications in quantum computing and molecular dynamics. Education: PhD in Mathematics, Sorbonne University and INRIA team CAGE (2021), supervised by Ugo Boscain and Mario Sigalotti Research Focus: Professor Pozzoli's work centers on small-time controllability problems using geometric control theory and sub-Riemannian geometry . His investigations span quantum control of molecular systems (rotors, chiral molecules), bilinear Schrödinger equations , and nonlinear PDE control (heat, wave equations). Recent breakthroughs include enhancing controllability via static fields and solving enantiomer-selective state transfer in degenerate quantum systems, demonstrating exceptional mathematical rigor with experimental relevance. Publication Trends: Analysis of his 15 most recent publications (2024-2025) reveals a dominant focus on quantum control applications (60% of articles), particularly for molecular rotation and chirality, combined with fundamental advances in geometric control theory (30%) and PDE controllability (10%). His work consistently addresses the critical challenge of achieving control in minimal time frames, with increasing emphasis on experimentally feasible strategies for quantum technologies. Grants and Leadership: Principal Investigator of ANR JCJC project QUEST (Quantum and ensemble control in small times) Co-organizer of 'Applications of Mathematics' research seminars at ENS Rennes Lab Environment: As part of IRMAR's mathematics research ecosystem, Professor Pozzoli leads a dynamic group focused on geometric control methods. The QUEST project provides substantial resources for computational modeling and theoretical development, with active recruitment for postdoctoral researchers. His lab emphasizes interdisciplinary collaboration between mathematicians and quantum physicists, maintaining strong ties with Sorbonne University and INRIA while fostering international partnerships through co-authored publications in leading physics and mathematics journals.
