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Christine Vespa is a Professor at Aix-Marseille Université affiliated with the Institute of Mathematics (I2M) in Marseille. Her research lies at the intersection of Algebra , Algebraic Topology , and Category Theory , focusing on polynomial functors , functor homology , and stable homology of group families. Education Habilitation à diriger des recherches (HDR), Université de Strasbourg, 2013. Thesis: Foncteurs polynomiaux et homologie stable à coefficients polynomiaux . Jury: William Dwyer, Vincent Franjou, Hans-Werner Henn, Nick Kuhn, Birgit Richter, Lionel Schwartz. Doctorat en Mathématiques, Université Paris 13, 2005. Thesis: La catégorie F_quad des foncteurs de Mackey généralisés pour les formes quadratiques sur F2 . Director: Lionel Schwartz. Research Interests Her work explores structural properties of polynomial functors and their applications in homology stability. She connects abstract category-theoretic frameworks with concrete algebraic and topological problems, such as stable homology for automorphism groups of free groups and orthogonal groups. Recent preprints address PROP structures , analytic exponential functors , and Jacobi diagrams , highlighting her engagement with algebraic topology and category theory. Article Trends Christine Vespa's publications and preprints emphasize algebraic topology and category theory . Recent trends include analyzing partition PROPs , exponential functors , and Jacobi diagrams in the context of stable homology. Earlier works delve into Hochschild homology , automorphism groups , and generalized Mackey functors , showcasing her contributions to homological algebra and representation theory. Advising Antoine Feltz (2020–2024): Foncteurs polynomiaux sur les catégories FI_d . Arthur Soulié (2015–2018): Foncteurs de Long-Moody et homologie stable des groupes de difféotopie . Andrea Cesaro (2012–2016): Pre-Lie algebras and operads in positive characteristic , co-supervised with Benoit Fresse. Labs & Teams She is a member of the Analyse, Géométrie, Topologie research group at I2M. She has organized academic events, including the 2014 Strasbourg workshop on Mac Lane's cubic construction and the 2015 Strasbourg Masterclass on Topological K-theory.

• Algebra
• Algebraic Topology
• Category Theory
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Yvain Bruned is a Professor of Mathematics at Université de Lorraine, Nancy, France, where he leads research in singular stochastic partial differential equations and related fields. He serves as Principal Investigator for the ERC Starting Grant LoRDeT (2023-2028), which focuses on advancing the theory of decorated trees and Hopf algebraic structures for solving singular SPDEs and dispersive PDEs at low regularity. Previously, he was a Lecturer at the University of Edinburgh (2019-2022) and completed postdoctoral work at Imperial College London and University of Warwick under Martin Hairer. His educational background includes: PhD in Mathematics (2012-2015), UPMC (Paris 6), on "Singular KPZ type equations" under Lorenzo Zambotti Master 2 in Probability and Statistics, ENS Cachan / Rennes 1, with honors Master 1 in Mathematics, ENS Cachan, with honors Bachelor in Mathematics and Computer Science, University of Rennes 1, with honors Student at ENS Cachan Brittany extension (2009-2013) Classes Préparatoires in Mathematics and Physics (2007-2009) Bruned's research centers on singular stochastic partial differential equations, with particular focus on Regularity Structures, renormalization theory, and their connections to Hopf algebras. His work bridges theoretical mathematics with applications in quantum field theory, wave turbulence, and numerical analysis. He has developed novel approaches using decorated trees to handle renormalization procedures for singular SPDEs and has extended these methods to dispersive PDEs with random initial data. His research program aims to establish existence and uniqueness results for quasilinear and dispersive SPDEs while developing algebraic tools through deformations of Hopf algebras. His extensive publication record demonstrates consistent contributions to the field of singular SPDEs, with a clear trajectory from foundational work on Regularity Structures to more recent applications in dispersive PDEs and numerical methods. The publications reveal a strong collaborative network with leading researchers in stochastic analysis, mathematical physics, and algebra. His work shows increasing sophistication in handling renormalization procedures through algebraic structures, with recent papers exploring connections between different mathematical frameworks. His major scientific recognition includes: ERC Starting Grant LoRDeT (2023-2028) Bruned actively supervises a large group of researchers, currently advising 4 PhD students and 2 postdoctoral researchers at Université de Lorraine, with several former PhD students having completed their degrees at the University of Edinburgh. His ERC grant has enabled him to organize multiple international workshops in Nancy, fostering collaboration between researchers in singular SPDEs, algebraic structures, and numerical analysis. The grant also supports the development of software platforms for decorated trees and their Hopf algebraic structures. As Principal Investigator of the ERC LoRDeT project, Bruned leads a vibrant research team based at the Elie Cartan Institute of Lorraine, which includes postdocs, PhD students, and visiting researchers. The team regularly organizes specialized workshops on topics including operads, symmetries for quantum field theory, and normal forms for singular dynamics, creating a dynamic research environment that bridges multiple mathematical disciplines.

• Singular Stochastic Partial Differential Equations
• Regularity Structures
• Renormalisation Theory
• +5 more

Fanny Kassel is a CNRS Research Director at the Institute of Advanced Scientific Studies (IHES), focusing on geometric, dynamical, and spectral aspects of discrete subgroups of Lie groups. Her work connects discrete group actions on homogeneous spaces with geometric structures on manifolds, such as pseudo-Riemannian and projective geometries, and higher Teichmüller-Thurston theory. Her research spans topics like convex projective geometry, Anosov representations, and pseudo-Riemannian hyperbolic spaces. She has been recognized with the CNRS Bronze Medal (2015), an ERC Starting Grant (2016), and the Mathematics Medal of the French Academy of Sciences (2024). She actively organizes workshops and contributes to editorial boards, including Mathematics of the IHES and Gazette de la SMF . Her recent publications highlight advancements in convex projective geometry, spectral theory, and discrete group dynamics. Awards and grants underscore her influence in geometric group theory and related fields.

• Discrete subgroups of Lie groups
• Pseudo-Riemannian geometry
• Projective geometry
• +3 more

Oliver Nash is a researcher at Imperial College London, actively engaged in the formalisation of advanced mathematical concepts. His work bridges geometry and computational logic, with a focus on rigorous proof systems. Research Interests: Oliver's research lies at the intersection of geometry and the formalisation of mathematics. He specialises in using proof assistants to verify deep mathematical results, including topics such as the h-principle, sphere eversion, and Lie algebras. His work contributes to the growing field of certified mathematics, ensuring correctness through machine-checked proofs. Publication Trends: His recent publications at the CPP conference demonstrate a consistent focus on formalising foundational results in differential geometry and algebra. These works reflect a trend toward computational trust in mathematical proofs, particularly in complex geometric transformations and algebraic structures. Professional Activities: Oliver is an active contributor to the Certified Programs and Proofs (CPP) conference, presenting cutting-edge work in formal verification. He maintains a personal website detailing both his academic contributions and early explorations in computer graphics, such as raytracing and radiosity rendering from the early 2000s. Labs and Projects: While specific lab affiliations are not mentioned, his work is closely aligned with research groups in formal methods and interactive theorem proving, likely involving tools like Lean, Coq, or Isabelle.

• Geometry
• Formalisation of Mathematics
• Mathematical Logic
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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.

• Shape Spaces and Applications
• Imaging Processing and Computational Vision
• Computational Biology
• +3 more

Maxime Fairon is an Assistant Professor (Maître de Conférences) at the Institut de Mathématiques de Bourgogne, Université Bourgogne Europe, affiliated with CNRS. He joined the institute in December 2023 and is a member of the Mathematics-Physics research team. His office is located in the Mirande Building (Office 407). Research interests include Poisson algebras, integrable systems, and non-commutative geometry, with applications to mathematical physics and representation theory. Key focus areas are: Double Poisson brackets and their algebraic/geometric generalizations Connections between quiver varieties and integrable particle systems (e.g., Ruijsenaars-Schneider models) Vertex algebras and non-commutative Hamiltonian structures His publications (2017–2025) demonstrate consistent work on unifying Poisson geometry with dynamical systems, featuring innovations in double multiplicative structures, quiver-based integrability, and morphism theories. Recent articles emphasize classification problems and geometric reductions. Current student supervision includes Master's projects on Poisson vertex algebras (A. Fotiadis, 2024) and degenerate integrable systems (J. Deshan, 2025). He coordinates graduate courses in geometry and algebra, and co-organizes workshops like the 2025 Workshop on Non-Associative Algebras. No awards or grants are mentioned in available materials.

• Poisson algebras
• Integrable systems
• Non-commutative geometry
• +3 more

Nicolas Tholozan is a Research Fellow at the CNRS — École Normale Supérieure (DMA) , where he focuses on Geometry, Topology, and Mathematical Physics . His work explores reductive homogeneous spaces, Anosov representations, and anti-de Sitter geometry. Education : Ph.D. in Mathematics from Université de Nice (2014), advised by Sorin Dumitrescu. Research Supervision : Qualified to supervise research in compact quotients of reductive homogeneous spaces and surface group representations. Research Interests : Tholozan’s research spans differential geometry, geometric group theory, and mathematical physics. He investigates geometric structures on manifolds, cohomological invariants, and dynamics of Anosov representations. His recent publications include studies on fiber bundles, maximal representations, and volume invariants in anti-de Sitter geometry. Collaborations : He has co-authored works with prominent mathematicians such as Fanny Kassel, Bertrand Deroin, and Anna Wienhard. His research involves organizing seminars and workshops like the Higher rank Geometric Structures (2025) and the Tell me about... seminar series at DMA. Advising : Tholozan has supervised doctoral students Samuel Bronstein (Max Planck Institute), Tianqi Wang (Yale University), and currently Giorgos Stamatiou at École Normale Supérieure.

• Geometry
• Topology
• Differential Geometry
• +3 more

Fanny Kassel is a CNRS Research Director at the Institut des Hautes Études Scientifiques (IHES). Her research focuses on geometric, dynamical, and spectral properties of discrete subgroups of Lie groups, particularly their actions on homogeneous spaces, geometric structures on manifolds, and connections to higher Teichmüller-Thurston theory. She has made significant contributions to pseudo-Riemannian homogeneous spaces and Anosov representations. Research Themes : Discrete subgroups of Lie groups Geometric group theory Anosov representations Higher Teichmüller theory Pseudo-Riemannian geometry Article Trends : Her recent work spans convex projective geometry, spectral analysis on non-Riemannian spaces, and dynamics of discrete group actions. Papers emphasize properness criteria for group actions, combination theorems, and spectral gaps in hyperbolic and pseudo-Riemannian contexts, often involving collaborations with experts like Jeff Danciger, François Guéritaud, and Toshiyuki Kobayashi. Scientific Honors : Mathematics Medal, French Academy of Sciences (2024) CNRS Bronze Medal (2015) ERC Starting Grant (2016) Invited speaker at ICM Rio de Janeiro (2018)

• Geometric Group Theory
• Lie Groups
• Hyperbolic Geometry
• +4 more

Nguyen-Thi Dang is an Assistant Professor in the Topology and Dynamics team at the Orsay Institute of Mathematics, University of Paris-Saclay. Her research focuses on dynamical systems, ergodic theory, and interactions with homogeneous spaces of arbitrary volume and rank. Key Research Themes: Dynamical Systems Ergodic Theory Random Walks on Lie Groups Recent work includes preprints on equidistribution of periodic tori and topological mixing of diagonal flows, alongside a 2020 publication on Weyl Chamber flow dynamics. She presented at conferences like IHES (2023) and the Henri Lebesgue Semester Conference (2023). As a founding member of the HEGL laboratory in Heidelberg, she promotes experimental geometry. Teaching duties span discrete probability, differential equations, and GeoGebra-based statistics for multiple programs. Her academic lineage includes PhD advisors Barbara Schapira and François Maucourant, with collaborations extending to Jialun Li and Olivier Glorieux.

• Dynamical Systems
• Ergodic Theory
• Homogeneous Spaces
• +1 more

Mikael de la Salle is a CNRS Senior Researcher (Directeur de recherche) at the Institut Camille Jordan, Université Claude Bernard Lyon 1. He received his PhD from Université Paris 6 in 2009 and his Habilitation from ENS de Lyon in 2016. Previously, he held positions at Institut de Mathématiques de Jussieu, DMA, Laboratoire de Mathématiques de Besançon, and École Normale Supérieure de Lyon. During 2023-2024, he was a member at the Institute for Advanced Study in Princeton. His research focuses on interactions between functional analysis and group theory, including operator algebras, harmonic analysis, ergodic theory, and geometric group theory. His publications demonstrate expertise in non-commutative functional analysis, group representations, and geometric properties of discrete groups. He has received the Prix Charles-Louis de Saulce de Freycinet (2021) and was an invited speaker at the International Congress of Mathematicians (2022). He advises or has advised several students including Ignacio Vergara, Emilie Mai Elkiaer, Guillaume Dumas, and Martin Gilabert Vio. He organizes academic events such as the Entropies School/Workshop (2018) and serves on editorial boards for Confluentes Mathematici, Mathematische Zeitschrift, and Proceedings of the London Mathematical Society.

• Functional Analysis
• Group Theory
• Operator Algebras
• +3 more

Romane Joly is a doctoral student and ATER (temporary academic) at the Institute of Urban Planning and Regional Development (IUAR), Faculty of Social Sciences, University of Strasbourg, and a member of the SAGE Laboratory (Sociétés, acteurs, gouvernement en Europe). She is conducting a joint international PhD under the supervision of Philippe Hamman (University of Strasbourg) and Philipp Späth (University of Freiburg), focusing on the socio-spatial production of dairy hinterlands in the Upper Rhine region. Her research interests lie at the intersection of urban sociology, human geography, and food system governance. She investigates how urban supply chains—particularly dairy—shape rural-urban relations, territorial identities, and spatial forms. Her work emphasizes the material and social dynamics of food flows, peri-urban transformations, and the political ecology of urban provisioning. The recent publications and conference presentations highlight a consistent focus on urban supply chains, food governance, and the socio-spatial organization of agricultural hinterlands. Her work combines qualitative fieldwork, ethnographic methods, and spatial analysis to understand how cities depend on and reshape their surrounding territories. Themes include transboundary food systems, urban-rural linkages, and democratic governance of food. Romane Joly is actively involved in teaching at the undergraduate and graduate levels, offering courses in urban policies, political sociology, urban anthropology, and sustainable development. She has presented her research at major national and international forums in sociology, geography, and urban planning. She is a member of the RT9 (Sociology of the Urban and Territories) working group of the French Association of Sociology (AFS), reflecting her engagement with critical urban scholarship.

• Urban Sociology
• Human Geography
• Urban Supply Chains
• +7 more

Pedro Alzari is a leading researcher and Head of the Structural Microbiology Unit within the Department of Structural Biology and Chemistry at the Institut Pasteur in Paris, France. He is a Principal Investigator actively leading research on the structural biology of bacterial pathogens, with a primary focus on Mycobacterium tuberculosis and other Actinobacteria. His work is central to understanding microbial physiology, pathogenesis, and cell signaling mechanisms. His research interests lie at the intersection of structural biology, biochemistry, and microbiology. Dr. Alzari's work focuses on elucidating the three-dimensional structures and functional mechanisms of proteins involved in critical bacterial processes such as cell division, cell wall synthesis, and metabolic regulation. His group employs a wide array of techniques, including X-ray crystallography, cryo-electron microscopy (cryo-EM), and biophysical methods, to study key systems like the PknA/PknB serine/threonine kinases and the divisome-elongasome machinery in Corynebacteriales. A significant theme in his recent work is the discovery of eukaryotic-like signaling and structural systems in bacteria, such as the repurposed gephyrin-like protein in cell division. The trends in Dr. Alzari's recent publications (2023-2025) reveal a strong emphasis on integrative structural biology to solve complex problems in antimicrobial resistance and infectious disease. His work bridges fundamental science with drug discovery, particularly in developing new inhibitors for M. tuberculosis DNA gyrase and Plasmodium proteases. The research consistently involves high-resolution structural analysis (cryo-EM and crystallography) to understand enzyme mechanisms, inhibitor binding, and protein-protein interactions at the atomic level, providing a rational basis for therapeutic intervention. Dr. Alzari has secured significant funding for his research, leading major projects such as the ongoing 'PknA/PknB in mycobacterial cell division' and the completed 'MM4TB' project. He mentors a dynamic team of researchers, including PhD students, postdoctoral fellows, and research engineers, fostering the next generation of scientists in the field. His laboratory is a hub for structural microbiology, contributing to a deeper understanding of bacterial cell biology. The group's work on the divisome and elongasome in Actinobacteria has revealed crucial crosstalk between these machineries, identifying potential new targets for anti-mycobacterial drugs. The team's use of the Institut Pasteur's core facilities, such as the nanoimaging Cryo-EM core facility, underscores their commitment to cutting-edge methodology.

• Structural Biology
• Molecular and Structural Biology
• Microbial Physiology
• +10 more

Thomas Cottineau is a Chargé de recherche CNRS at the Institute of Chemistry and Processes for Energy, Environment and Health (ICPEES), a joint research unit of the CNRS and the University of Strasbourg. He leads research within the Photocatalysis and Photoconversion team, focusing on the development of semiconductor nanostructures for solar energy conversion and environmental applications. His work is situated at the intersection of materials science, electrochemistry, and nanotechnology. PhD in Materials Science, Solid-State Chemistry Specialization, University of Nantes, 2007 Habilitation à Diriger des Recherches (HDR), University of Strasbourg, 2022 Postdoctoral Researcher, LMSPC, Strasbourg, 2009–2014 Postdoctoral Researcher, UQAM, Montréal, 2008–2009 Engineering Degree in Materials Science, Ecole Polytechnique de l’Université de Nantes, 2004 Thomas Cottineau's primary research interests lie in photoelectrochemistry , solid state chemistry , and photocatalysis , with a strong focus on titania (TiO₂) nanostructures . His group specializes in synthesizing and modifying 1D TiO₂ nanostructures, such as nanoparticles and aligned nanotubes, through doping, co-doping, and co-catalyst deposition. The core applications of his research are the generation of solar fuels—specifically hydrogen via photoelectrochemical water splitting—and the remediation of pollutants in aqueous and gaseous environments. He has also developed expertise in innovative photoelectrochemical analysis methods, including scanning photoelectrochemical microscopy for rapid screening of material properties. His recent publications demonstrate a consistent and evolving research trajectory into advanced photocatalytic and photoelectrochemical materials. The articles highlight a strong trend towards optimizing material performance through strategic modifications like co-doping (e.g., Nb,N-TiO₂) and co-catalyst decoration, as well as developing novel synthesis and characterization techniques. A significant portion of his work is dedicated to fundamental studies of material properties and surface interactions, such as the investigation of organophosphorus compound detection on functionalized TiO₂ microcantilevers, which bridges his core expertise with sensor development. His scientific contributions have been recognized through competitive funding, including being the coordinator of the ANR BAGETE Young Researcher Project. He has also secured funding as a partner in several major collaborative projects such as ANR OSCARE, MITI NICE, PEPR H2 HYDRO, and FRCR HyPE. His grant portfolio also includes leadership of an IdEX CoDoTiN project and co-funding of PhD grants from the Grand Est Region. Thomas Cottineau has advised doctoral students, including Thomas Favet, whose PhD was co-funded by the Grand Est Region. His collaborative network is extensive, involving partnerships with materials chemists who develop novel semiconductors and physical chemists who provide access to advanced characterization techniques. His work is conducted within the state-of-the-art facilities of ICPEES, leveraging core technical platforms for material synthesis and analysis.

• Photoelectrochemistry
• Solid State Chemistry
• Photocatalysis
• +7 more

Anne-Laure Thiel is an Associate Professor at the University of Burgundy in Dijon, France. She conducts research in fundamental mathematics at the Institute of Mathematics of Burgundy (IMB) as part of the Geometry, Algebra, Dynamics, and Topology team and teaches at the Higher Institute of Teaching and Education (INSPE). Education: PhD in Mathematics (2006-2010, University of Strasbourg), Master 2 in Mathematics (2005-2006, Louis Pasteur University of Strasbourg), Mathematics Aggregation (2004-2005), Master's in Mathematics (2002-2006, Louis Pasteur University of Strasbourg). Research Interests: Her work focuses on categorification, braid groups, Artin groups, virtual braids, Hecke and BMW algebras, quantum Schur algebras, knot theory, Khovanov homology, and virtual/welded knots. She explores algebraic and topological structures through diagrammatic methods and representation theory. Article Trends: Her publications span quantum algebra, low-dimensional topology, and representation theory, with recurring themes in categorification techniques, braid group generalizations, and diagrammatic algebraic structures. Key collaborations include Paolo Bellingeri, Thomas Gobet, Loïc Poulain d'Andecy, and Marco Mackaay. Scientific and Pedagogical Responsibilities: She has served on hiring committees, organized workshops (e.g., at Hausdorff Institute, HIM Bonn), and participated in PhD juries. She contributes to public outreach via science festivals and knot theory workshops, while supervising MEEF master's program tracks and serving on institutional commissions.

• Categorification
• Knot Theory
• Representation Theory
• +3 more

Daniele Faenzi is a Professor and Deputy Director at the Institute of Mathematics of Burgundy (IMB) , University of Burgundy. He specializes in algebraic geometry, vector bundles, moduli spaces, and related areas. Leadership: Deputy Director of IMB, responsible for ANR Fano-HK (2021-2026), EUR SupToPhAG (2021-2025), and BRIDGES (2022-2026). Collaborations: GDR GAGC (France), CAPES-COFECUB (Brazil), and Sino-French projects. Research focuses on vector bundles, moduli spaces, Fano and Hyperkähler varieties, logarithmic sheaves, and Cohen-Macaulay modules. His work connects algebraic geometry with commutative algebra, topology, and geometric invariant theory. Students: Supervised 13 PhD/post-docs (2010–2026) including Vladimiro Benedetti, Alan Muniz, and Felipe Monteiro. Teaching: Courses in algebra, mathematics for general degrees, and financial mathematics. Activities: Organized workshops in France, China, Japan, Switzerland, and Brazil (2023–2025).

• Algebraic Geometry
• Vector Bundles
• Moduli Spaces
• +5 more