MATH - members
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
Mes intérets de recherche se trouvent dans le domaine des équations aux dérivées partielles. Surtout je travaille sur des questions en calcul des variations. En particulier, je m'intéresse à l'élasticité non-linéaire, et à des problèmes variationels qui contiennent en même temps des aspects physiques et géométriques.
Mes intérets de recherche se trouvent dans le domaine des équations aux dérivées partielles. Surtout je travaille sur des questions en calcul des variations. En...
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 (8)
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.
Federico Campanini
My research interests are quite various and include substantially different topics in Commutative and non-Commutative Algebra, Module Theory and Category Theory. They may be listed as follows:
- Weak forms of the Krull-Schmidt Theorem in additive and module categories;
- Prüfer-like conditions in commutative rings with zero-divisors;
- Factorizations in commutative monoids;
- Homological algebra;
- Torsion and pretorsion theories in general categories.
My research interests are quite various and include substantially different topics in Commutative and non-Commutative Algebra, Module Theory and Category Theory...
Office: B428
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...
Gonzalo Emiliano Ruiz Stolowicz
Office: B.432
PhD students (16)
Florent Afsa
Homological Algebra and Categorical Algebra
Homological Algebra and Categorical Algebra
Office: B.422
Email: florent.afsa@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...
Office: B.323
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.303
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.429
Email: lucy.grossman@uclouvain.be
Alex Loué
I am interested in various aspects of discrete (finite and infinite) groups, such as combinatorial and geometric features, or representation theory. Currently, I am investigating finite quotients of lattices in exotic Euclidean buildings.
I am interested in various aspects of discrete (finite and infinite) groups, such as combinatorial and geometric features, or representation theory. Currently,...
Office: B.321
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
Corentin Vienne
Research in categorical algebra, in particular semi-abelian categories. We are studying consequences of categorical conditions, such as action representability, in varieties of non-associative algebras.
Research in categorical algebra, in particular semi-abelian categories. We are studying consequences of categorical conditions, such as action representability,...
Office: B.427
Email: corentin.vienne@uclouvain.be
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)