On Euler’s Rotation Theorem

The College Mathematics Journal

2023 | journal-article

Non-connected Lie groups, twisted equivariant bundles and coverings

Geometriae Dedicata

2023 | journal-article

On the classification of the rigid motions of the plane

The College Mathematics Journal

2022 | journal-article

Stratifications on the nilpotent cone of the moduli space of Hitchin pairs

Revista Matemática Complutense

2022 | journal-article

Unramified covers and branes on the Hitchin system

Advances in Mathematics

2021 | journal-article

Quiver bundles and wall crossing for chains

Geometriae Dedicata

2019 | journal-article

Homotopy type of moduli spaces of G-Higgs bundles and reducibility of the nilpotent cone

BULLETIN DES SCIENCES MATHEMATIQUES

2019 | journal-article

SO(p,q)-Higgs bundles and Higher Teichmuller components

INVENTIONES MATHEMATICAE

2019 | journal-article

Topological mirror symmetry for parabolic Higgs bundles

JOURNAL OF GEOMETRY AND PHYSICS

2019 | journal-article

Exotic components of SO(p, q) surface group representations, and their Higgs bundle avatars

COMPTES RENDUS MATHEMATIQUE

2018 | journal-article

Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles

Geometry and Physics: A Festschrift in Honour of Nigel Hitchin

2018 | book-chapter

Birationality of moduli spaces of twisted U(p, q)-Higgs bundles

REVISTA MATEMATICA COMPLUTENSE

2017 | journal-article

Stratifications on the moduli space of Higgs bundles

PORTUGALIAE MATHEMATICA

2017 | journal-article

Hitchin Pairs for non-compact real Lie groups

Travaux Mathématiques 24 (2016), Special issue based on School GEOQUANT at the ICMAT Madrid, Spain, September 2015.

2016 | conference-paper

Higgs bundles for the non-compact dual of the special orthogonal group

GEOMETRIAE DEDICATA

2015 | journal-article

Representations of surface groups and Higgs bundles

Moduli Spaces

2014 | other

From singularity theory to finiteness of Walrasian equilibria

Mathematical Social Sciences

2013 | journal-article

Higgs bundles and surface group representations in the real symplectic group

Journal of Topology

2013 | journal-article

Deformations of maximal representations in Sp(4, R)

Quarterly Journal of Mathematics

2012 | journal-article

Rank two quadratic pairs and surface group representations

Geometriae Dedicata

2012 | journal-article

The Singular Fiber of the Hitchin Map

2012 | journal-article

Higgs bundles and the real symplectic group

AIP Conference Proceedings

2011 | conference-paper

On moduli spaces of Hitchin pairs

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

2011 | journal-article

Direct perturbations of aggregate excess demand

Journal of Mathematical Economics

2010 | journal-article

Homotopy groups of moduli spaces of representations

Topology

2008 | journal-article

Betti numbers of the moduli space of rank 3 parabolic Higgs bundles

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

2007 | journal-article

What is a Higgs bundle?

Notices of the American Mathematical Society

2007 | other

Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces

Geometriae Dedicata

2006 | journal-article

Homological algebra of twisted quiver bundles

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

2005 | journal-article

Moduli spaces of holomorphic triples over compact Riemann surfaces

Mathematische Annalen

2004 | journal-article

Representations of surface groups in the general linear group

Publicaciones de la RSME

2004 | conference-paper

Surface group representations and U(p, q)-Higgs bundles

JOURNAL OF DIFFERENTIAL GEOMETRY

2003 | journal-article

Topology of U(2,1) representation spaces

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY

2002 | journal-article

Components of spaces of representations and stable triples

TOPOLOGY

2001 | journal-article

Representations of the fundamental group of a surface in PU(p,q) and holomorphic triples,Représentations du groupe fondamental d'une surface dans PU(p,q) et triplets holomorphes

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

2001 | journal-article

The topology of Higgs bundle moduli spaces

1995 | other

THE BETTI NUMBERS OF THE MODULI SPACE OF STABLE RANK 3 HIGGS BUNDLES ON A RIEMANN SURFACE

1994 | journal-article