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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

Clément Delcamp is a CNRS Researcher in Physics at the Institut des Hautes Études Scientifiques (IHES), a position he has held since February 2025. Previously, he served as a Junior Professor of Physics at IHES from October 2023. His research bridges condensed matter theory, algebraic topology, and quantum field theory, focusing on symmetry, duality, and topological phases in quantum lattice models. He translates abstract category theory into physical frameworks using tensor networks. His educational background includes undergraduate studies in France, an MSc in Quantum Fields and Fundamental Forces from Imperial College London (2013–2018, supported by a Walter-Zellidja fellowship), and a PhD from the Perimeter Institute for Theoretical Physics and the University of Waterloo (2018). Delcamp investigates algebraic structures underlying quantum lattice many-body systems, leveraging tensor networks to develop classifying schemes and construct novel physical models. His work addresses how generalized symmetries and dualities manifest in systems ranging from (1+1)d to (3+1)d, with implications for quantum simulation and phase classification. Recent efforts include revisiting real-space renormalization group flows and formalizing the SymTFT proposal on lattices. His publications reveal a trajectory from foundational work on string-like excitations and ϕ4 theory to cutting-edge explorations of non-abelian dualities and entanglement in the generalized Landau paradigm. Key themes include topological field theory applications, categorical symmetries, and tensor network methodologies across dimensions, emphasizing connections between mathematical structures and physical phenomena. Award highlights include: Walter-Zellidja fellowship for graduate studies FWO Postdoctoral Fellowship from the Research Foundation – Flanders (2022) Delcamp has held postdoctoral positions at the Max Planck Institute of Quantum Optics (Munich, 2018–2021) and the Max Planck Institute for the Physics of Complex Systems (Dresden, 2021–2022), followed by a postdoc at Ghent University (2022–2023). He actively recruits postdocs for theoretical physics research at IHES and collaborates internationally on topics including topological order and symmetry classification. His work integrates seminars, lectures, and workshops to advance lattice-based approaches to quantum phases. He operates within IHES's theoretical physics group, leading projects that connect category theory with quantum many-body systems. Current initiatives involve developing tensor network frameworks for duality circuits and exploring electromagnetic duality in higher-dimensional topological models, supported by institutional resources and collaborative networks.

• Condensed Matter Theory
• Algebraic Topology
• Quantum Field Theory
• +4 more

Matteo D'Achille is an Associate Professor (maître de conférences) of Probability at the Institut Élie Cartan de Lorraine , Université de Lorraine, France, since September 2025. He previously held post-doctoral positions at Laboratoire de Mathématiques d’Orsay (2022-2025) and at LAMA, Université Paris-Est Créteil (2020-2022), and obtained his PhD from Paris-Saclay University in 2020. Education: Ph.D. in Mathematics, Paris-Saclay University, 2020 M.Sc. in Physics (110/110 cum laude), University of Milan, 2016 B.Sc. in Physics (110/110), University of Milan, 2012 Research interests: D’Achille’s work lies at the interface of probability theory, statistical mechanics and random combinatorial optimisation . He investigates random geometric structures such as ideal Poisson–Voronoi tessellations in hyperbolic spaces, massive spanning forests , and random assignment problems on manifolds. A recurrent theme is the study of Gibbs measures and their stability under renormalisation transformations, exemplified by his analyses of decimated Ising and rotator models. Publications trend: His 13 papers (9 published, 4 submitted) display a steady trajectory from early works on one-dimensional random matching to recent deep contributions on hyperbolic random tessellations and extremal Gibbs states on Lobachevsky lattices . The research spans pure probability, rigorous statistical physics and discrete geometry, often combining exact computations with probabilistic limit theorems. Grants & recognition: He was awarded a €2.25k travel grant (2023-2025) from the Fondation Mathématique Jacques Hadamard and serves as a peer reviewer for leading journals including Ann. Inst. Henri Poincaré B , Prob. Theory Rel. Fields , Electronic J. Probability , IEEE Trans. Information Theory and Phys. Rev. X . Supervision & seminars: D’Achille currently advises PhD students and co-organises three recurring seminar series in the Paris area: the SuPerGRandMa Weekly Seminar (Orsay), The Probabilities of Tomorrow (IHP), and the Seed Seminar of Mathematics and Physics (IHP/IHES).

• Probability theory
• Random geometry
• Statistical mechanics
• +6 more