Speakers
Speakers March to July 2022
Abraham Rojas Vega
Automorphism group of Artin-Schreier
Slides & Video
During my Master studies, I worked with algebraic curves in positive characteristic, using the theory of Algebraic Function Fields. Now, during my PhD studies, I work with Intersection Homology for singular varieties and applications to String Theory.
Aline Zanardini
A survey on non-symplectic automorphisms on K3 surfaces
My research interests lie at the interface of Birational Geometry and Moduli Theory. I am also generally interested in algebraic and topological invariants of singularities.
A unifying theme in my research has been the study of the geometry of genus one fibrations, mostly in dimensions two and three.
Felipe Espreafico Guelerman Ramos
Enumerative Geometry and Physics
Talk in person without slides and video
My current research interests center around Algebraic and Complex Geometry. Lately, I have been working in Mirror Symmetry, specifically on open Gromov Witten invariants from the B-model point of view. I am trying to contribute to the project Gauss Manin Connection in Disguise (GMCD). I am also interested in Singularity theory, Hodge theory and Symplectic Geometry.
Yulieth Prieto
Quotients of K3 Surfaces vs Quotients of 2-Complex Tori
My main areas of interest cover K3 surfaces, Hyperkähler manifolds, and their Moduli Spaces. In particular, I work on Automorphisms on K3 surfaces, birational maps on Hyperkähler manifolds and Moduli spaces of sheaves on K3 surfaces. Recently, I am also interested on Ulrich bundles of smooth projective manifolds.
Wodson Mendson
Polynomial maps and unimodular domains
I am working with codimension one foliations defined over a field of positive characteristic and application to problems of characteristic zero. In particular, applications to the problem of detecting irreducible components of the space of codimension one holomorphic foliations in projective spaces.
Speakers Summer 2022
Eduardo Vital
Degenerations of linear series to curves with three components, using quiver representations
General degenerations of linear series to nodal curves with n+1 components yield exact linked nets of vector spaces with finite support, which are special quiver representations of pure dimension. We study some properties of linked net and their linked projective spaces.
Lucas da Silva Reis
A group action on multivariate polynomials over finite fields
I work primarily in the theory of finite fields, with focus on its connections to number theory, algebra (linear and commutative) and discrete mathematics. In general I explore questions regarding existence, description, construction and enumeration of objects related to finite fields.
Lucas Henrique Rocha de Souza
0-dimensional compactifications are spectra
I work in Geometric Group Theory. In particular, I am interested in well behaved compactifications of groups. The topology of the boundaries of such compactifications gives algebraic information about the group and also gives geometric and topological information about spaces that the group acts on (e.g. if a group is the fundamental group of a compact Riemannian manifold with negative curvature, then it is 1-ended, i.e. some compactification of the group is trivial).
Speakers September to December 2021
John Alexander Cruz Morales
Thirty years of mirror symmetry
I work in geometry in a very broad sense (including differential, complex, symplectic and algebraic aspects). In particular, I am interested in mirror symmetry and noncommutative Hodge structures and their relations with other branches of mathematics like integrable systems and representation theory.
Jorge Armando Duque Franco
Hodge Locus
I am interested in the relation between periods, topology and geometry of complex varieties as well as the superlative role that periods have in transcendence theory. My current research focuses on Hodge cycles and their periods which provide a rich source of these relations.
Cláudia Rodrigues da Silveira
The Conjectures of Mahler and Viterbo
I'm working in the interplay between Convex Geometry and Symplectic Geometry, how two seemingly unrelated conjectures of Mahler and Viterbo, in each geometry respectively, have a lot to say from each other. We study billiards and how they can help us unravel this mistery.
Walter Andrés Páez Gaviria
Gauss-Manin connection in Disguise: K3 surfaces
I work in Hodge Theory and modular forms. As secondary interests, I like model theory and categorical logic.
