Current Project
- Homotopy Theory and Geometric Structures (2025-2027)
PID2024-155646NB-I00, Agencia Estatal de Investigación
Description and Members
This research project aims to advance the field of Homotopy Theory and its interactions with Geometry. Its goal is to deepen our understanding of the topology of algebraic varieties and smooth manifolds endowed with additional geometric structures, such as Lie group actions and holomorphic structures. Our main homotopical techniques include stable, rational and p-adic homotopy theory, as well as higher category theory and operads.
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Principal Investigator:
- Joana Cirici
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Team Members:
- Özgür Bayındır
- João Candeias
- Carles Casacuberta
- Javier J. Gutiérrez
- Geoffroy Horel
- Pedro Magalhães
- David Martínez
- Anna Sopena-Gilboy
- Leopold Zoller
Past Projects
- Homotopical methods in geometry (2021-2024)
PID2020-117971GB-C22, Agencia Estatal de Investigación - Algebraic and low-dimensional topology (2017-2020)
MTM2016-76453-C2-2-P, Agencia Estatal de Investigación - Enhanced homotopy (2014-2016)
MTM2013-42178-P, Ministerio de Economía y Competitividad - Higher homotopy in algebra and geometry (2010-2013)
MTM2010-15831, Ministerio de Ciencia e Innovación - Higher homotopical structures (2007-2010)
MTM2007-63277, Ministerio de Educación y Ciencia - Localizations in simplicial model categories (2004-2007)
MTM2004-03629, Ministerio de Educación y Ciencia - Universal constructions in stable and unstable homotopy (2001-2004)
BFM2001-2031, Ministerio de Ciencia y Tecnología - Homological and homotopical localizations (1998-2001)
PB97-0202, Dirección General de Enseñanza Superior