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irmp | Louvain-la-Neuve
Academic staff (11)
Pierre-Emmanuel Caprace
Marino Gran
Research interests: categorical algebra, universal algebra, Galois and descent theory, non-abelian homology, Hopf algebras
Research interests: categorical algebra, universal algebra, Galois and descent theory, non-abelian homology, Hopf algebras
Pascal Lambrechts
My work is in algebraic topology. My recent theme of research are
motivated by the study of moduli spaces coming from
differential topology, like spaces of smooth embeddings and of
diffeomorphisms, using manifold functor calculus, rational homotopy
theory, configuration spaces, operads of little disks, ...
My work is in algebraic topology. My recent theme of research are
motivated by the study of moduli spaces coming from
differential topology, like spaces of s...
Timothée Marquis
Research interests: Geometric group theory; Kac-Moody groups and algebras; Groups with a BN-pair, Coxeter groups and buildings; Infinite-dimensional Lie groups and algebras; Locally compact groups
Research interests: Geometric group theory; Kac-Moody groups and algebras; Groups with a BN-pair, Coxeter groups and buildings; Infinite-dimensional Lie groups...
Heiner Olbermann
Calculus of Variations, Partial Differential Equations, applications in Materials Science
Calculus of Variations, Partial Differential Equations, applications in Materials Science
Augusto Ponce
Partial differential equations; nonlinear analysis
Partial differential equations; nonlinear analysis
Tim Van der Linden
Research in homological algebra: study of homology and cohomology of non-algebraic objects using categorical methods, such as Galois theory of higher central extensions
Research in homological algebra: study of homology and cohomology of non-algebraic objects using categorical methods, such as Galois theory of higher central extensions
Jean Van Schaftingen
I am working in mathematical analysis, on problems in the fields of partial differential equations, calculus of variations and function spaces, including endpoint L¹ estimates for differential operators, Sobolev mappings, Ginzburg-Landau functionals, vortices
in fluid dynamics, magnetic Sobolev spaces and semi-linear elliptic problems.
I am working in mathematical analysis, on problems in the fields of partial differential equations, calculus of variations and function spaces, including endpoi...
Pedro Vaz
Knot theory and quantum topology,
Higher representation theory and its applications in low-dimensional topology,
Categorification of quantum algebras and its 2-representation theory.
Knot theory and quantum topology,
Higher representation theory and its applications in low-dimensional topology,
Categorification of quantum algebras and its...
Enrico Vitale
Je participe à la recherche de l’équipe de théorie des catégories. Notre recherche se concentre sur l'algèbre catégorique: plus particulièrement, nous développons certains nouveaux aspects de la théorie des catégories utiles en algèbre homologique non abélienne, algèbre homotopique de dimension supérieur, algèbre universelle et algèbre topologique, théorie de la descente et théorie de Galois, théorie des algèbres de Hopf et des quandle.
Je participe à la recherche de l’équipe de théorie des catégories. Notre recherche se concentre sur l'algèbre catégorique: plus particulièrement, nous développo...
Professors emeriti (2)
Yves Felix
topologie algébrique, homotopie rationnelle
topologie algébrique, homotopie rationnelle
Michel Willem
nonlinear partial differential equations, global analysis, calculus of variations,
functional analysis, real analysis, history of mathematics
nonlinear partial differential equations, global analysis, calculus of variations,
functional analysis, real analysis, history of mathematics
Postdocs (12)
Marco Abbadini
I am interested in the connections between logic, algebra, order and topology that emerged starting with M. H. Stone’s celebrated representation theorem for Boolean algebras in 1936. The main topics of my research are Stone-like dualities and their applications, with a particular focus on MV-algebras and lattice-ordered groups.
I am interested in the connections between logic, algebra, order and topology that emerged starting with M. H. Stone’s celebrated representation theorem for Boo...
Oussama Bensaid
Geometric group theory and the coarse geometry of spaces of non-positive curvature.
Geometric group theory and the coarse geometry of spaces of non-positive curvature.
Arnaud Duvieusart
I work on new applications of Categorical Galois Theory in Mal’tsev and semi-abelian categories, especially in relation to internal groupoids and crossed modules.
I work on new applications of Categorical Galois Theory in Mal’tsev and semi-abelian categories, especially in relation to internal groupoids and crossed modules.
Office: B.430
Pierre-Alain Jacqmin
My main research interests lie in Category Theory, and more specifically in Categorical Algebra and Universal Algebra. My aim is to deeper understand algebraic categorical properties such as the Mal'tsev, unital or semi-abelian properties; in particular via some embedding theorems or preservation under the cofiltered limit completion. I am also interested in internal groupoids, weak equivalences and their bicategory of fractions as well as in finiteness spaces and generalized rings of power series.
My main research interests lie in Category Theory, and more specifically in Categorical Algebra and Universal Algebra. My aim is to deeper understand algebraic...
Hidde Schönberger
My main research areas are calculus of variations and partial differential equations. I work on problems motivated by modeling applications, such as materials science or image processing, and my focus lies on establishing existence results for solutions or minimizers, the convergence of parameter-dependent problems via Gamma-convergence and variational problems involving nonlocality.
My main research areas are calculus of variations and partial differential equations. I work on problems motivated by modeling applications, such as materials s...
PhD students (22)
Florent Afsa
Homological Algebra and Categorical Algebra
Homological Algebra and Categorical Algebra
Office: B.422
Email: florent.afsa@uclouvain.be
Ony Aubril
I study the categories of (right) preordered groups via different categorical approach (categorical Galois theory, internal structures, commutator theory).
I study the categories of (right) preordered groups via different categorical approach (categorical Galois theory, internal structures, commutator theory).
Office: B.404
Phone: (+32 10 4) 0650759706
Maria Bevilacqua
Categorical algebra and Hopf algebra theory
Categorical algebra and Hopf algebra theory
Office: B.405
François Cayphas
I am working on developing a categorical Galois theory for MV-algebras.
I am working on developing a categorical Galois theory for MV-algebras.
Office: B.429
Laura Constant
I am currently working on the bicategory of chain complexes of symmetric categorical groups. My first goal is to determine whether this bicategory is 2-abelian. More generally, I am investigating whether the bicategory of chain complexes of an 2-abelian bicategory is itself 2-abelian. Finally, I am studying whether this bicategory admits a model bicategory structure in the sense of Descotte.
I am currently working on the bicategory of chain complexes of symmetric categorical groups. My first goal is to determine whether this bicategory is 2-abelian....
Office: B. 428
Email: laura.constant@uclouvain.be
Robynn Corveleyn
I am interested in a wide range of topics within geometric group theory and representation theory of (locally compact) groups. Currently my focus is on understanding the finite simple quotients of Kac-Moody-Steinberg groups and their relationship to high-dimensional expanders.
I am interested in a wide range of topics within geometric group theory and representation theory of (locally compact) groups. Currently my focus is on understa...
Maxime Culot
Working in the area of homological algebra in a non-abelian context. More precisely, I am working a non-additive version of the left derived functors. This leads me to the study of homotopy of chain complex and a bit of model theory.
Working in the area of homological algebra in a non-abelian context. More precisely, I am working a non-additive version of the left derived functors. This lead...
Office: B.422
Email: maxime.culot@uclouvain.be
David Forsman
My PhD-topic is to develop a non-abelian theory of spectral sequences. Double semi-simplicial groups have certain spectral sequences associated to them. The motivating question is how much can we generalize this to the semi-abelian context.
My PhD-topic is to develop a non-abelian theory of spectral sequences. Double semi-simplicial groups have certain spectral sequences associated to them. The mot...
Office: B.404
Email: david.forsman@uclouvain.be
Maximilien Forte
I am a first year PhD student in Geometric Group Theory. I am currently working in the construction of t.d.l.c groups containing uniform lattices. Keywords : wall space, polyhedral complex, CAT(0) metric.
I am a first year PhD student in Geometric Group Theory. I am currently working in the construction of t.d.l.c groups containing uniform lattices. Keywords : wa...
Office: B.321
Logan Geenis
My research focuses on the properties of (co)commutative Hopf algebras, with a view toward studying the tensor product.
My research focuses on the properties of (co)commutative Hopf algebras, with a view toward studying the tensor product.
Office: B.428
Email: logan.geenis@uclouvain.be
Lucy Grossman
Projet principal actuel: une généralisation des théories de prétorsion aux catégories infinies.
Autres intérêts de recherche: structures supérieures et fondaments des mathématiques, K-théorie algébrique, physique mathématique.
Projet principal actuel: une généralisation des théories de prétorsion aux catégories infinies.
Autres intérêts de recherche: structures supérieures et fondam...
Office: B.402
Email: lucy.grossman@uclouvain.be
Rodrigue Haya Enriquez
I investigate a cosimplicial space retrieving the homotopy type of embedding spaces. The main objective is to compute the rational cohomology of (framed) embedding spaces of small dimensional manifolds into euclidean spaces. Side questions are also on the menu, such as the invariance under change of smooth structure or a generalization to factorization homology.
I investigate a cosimplicial space retrieving the homotopy type of embedding spaces. The main objective is to compute the rational cohomology of (framed) embedd...
Office: B.405
Email: rodrigue.haya@uclouvain.be
Alex Loué
I am interested in various aspects of discrete groups, with a focus on groups acting on low-dimensional objects. I study properties such as hyperbolicity, Kazhdan’s property (T), and residual finiteness. I am currently investigating finite quotients of 2-dimensional euclidean buildings.
I am interested in various aspects of discrete groups, with a focus on groups acting on low-dimensional objects. I study properties such as hyperbolicity, Kazhd...
Office: B.325
Email: alex.loue@uclouvain.be
Sébastien Mattenet
Did my masters thesis in topos theory.
Currently writing about Lyapunov theory in categorical terms, specifically the converse lyapunov theorem that a system with an equilibrium point must have a corresponding "energy function" (lyapunov fucntion, ie a function that decrease on trajectory and "sufficiently" smooth) that serve as a certificate for the stability.
Did my masters thesis in topos theory.
Currently writing about Lyapunov theory in categorical terms, specifically the converse lyapunov theorem that a system w...
Office: Euler a1.01
Benoît Van Vaerenbergh
My research focuses on geometric analysis, with a particular emphasis on Sobolev mappings between manifolds in the context of calculus of variations.
My research focuses on geometric analysis, with a particular emphasis on Sobolev mappings between manifolds in the context of calculus of variations.
Leon Winter
I am working on open problems regarding Sobolev mappings (valued in a manifold), in particular on their trace theory. The set of all Sobolev mappings is in general not a vector space and its study is therefore very different from a vector valued Sobolev space. Most of the linear constructions which work wonders in the vector valued case (e.g. by convolution) cannot be used in the manifold valued case.
I am working on open problems regarding Sobolev mappings (valued in a manifold), in particular on their trace theory. The set of all Sobolev mappings is in gene...
Office: B.325
Email: leon.winter@uclouvain.be
Administrative staff (3)