Guillermo Peñafort Sanchis

Guillermo Peñafort Sanchis is a permanent faculty member in the Department of Mathematics at the Faculty of Mathematics, University of Valencia. His research is centered on singularity theory, complex analytic geometry, and global analysis, with a focus on finite holomorphic maps, multiple point spaces, and disentanglements. He is affiliated with the research group GEOSING (Singularities, Generic Geometry and Applications).

• Ph.D., University of Valencia, 2016
• Thesis: Multiple point spaces of finite holomorphic maps
• Supervisors: Dr. Washington Luiz Marar, Dr. Juan José Nuño-Ballesteros

His research interests lie at the intersection of algebraic geometry, complex analysis, and topology. He investigates the geometric and topological properties of singularities of mappings, particularly in low-dimensional complex spaces. His work often involves computing invariants such as the image Milnor number and analyzing stability and versality conditions in the context of the Mond conjecture. He employs tools from commutative algebra, differential geometry, and singularity theory to derive structural results about map-germs and their multiple point loci.

The most recent articles reflect a sustained focus on disentanglements, reflection maps, and invariants of weighted-homogeneous map-germs. These works contribute to foundational questions in singularity theory, particularly concerning the topology of images and multiple point spaces. The recurring themes include Jacobian modules, stability, and the classification of singularities under equivalence relations.

No scientific awards or prizes are listed in the provided sources.

Guillermo Peñafort Sanchis has collaborated with prominent mathematicians such as Juan José Nuño-Ballesteros, Washington Luiz Marar, Farid Tari, and Matthias Zach. While no advisees are listed, his collaborative research suggests an active role in the mathematical community. There is no mention of grants in the provided texts.

He is a member of the GEOSING research group, which focuses on singularities and their applications in geometry. This group likely involves collaborative projects, seminars, and joint publications centered on singularity theory and its interactions with other areas of mathematics.