After defending my PhD in 2012 at Universitat de Barcelona, I held several postdoctoral positions in Berlin, Münster and Barcelona, including a Marie Curie Fellowship at FU-Berlin and a research position as PI from the German Research Foundation at WWU-Münster. In 2019, I became Serra Húnter Lecturer at Universitat de Barcelona, and Associate Professor in 2024.
Algebraic Topology and its interactions with Algebraic Geometry and Complex Geometry
Topology of algebraic varieties and mixed Hodge theory;
Multiplicative structures in homotopical algebra and cohomological operations;
Rational and p-adic homotopy theory, operads and formality;
Topology of complex and almost complex manifolds.
• Homotopical Methods in Geometry (PID2020-117971GB-C22), AEI, Spain.
• Geometry and Topology at UB (GiT-UB), (2021 SGR 00697), AGAUR, Government of Catalonia.
• Europa Excelencia "Homotopical Invariants of Almost Complex Manifolds" (EUR2023-143450), AEI, Spain.
• J. Cirici and S. O. Wilson. Homotopy BV-algebras in Hermitian geometry. Journal of Geometry and
Physics, Vol 204, 105275 (2024).
• J. Cirici and B. Saleh. Weight decompositions on algebraic models for mapping spaces and
homotopy automorphisms. Mediterranean Journal of Mathematics, Vol. 21, art. nr. 156, (2024).
• J. Cirici. Cup and Massey products on the cohomology of compact almost complex manifolds.
Rivista di Matematica della Università di Parma, Vol 13, n.2 (2022).
• J. Cirici and G. Horel. Étale cohomology, purity and formality with torsion coefficients. Journal of
Topology, (2022).
• J. Cirici and S. O. Wilson. Hodge-de Rham numbers of almost complex 4-manifolds. Expositiones
Mathematicae, (2022).
• J. Cirici and A. Sopena. Filtered A-infinity structures in complex geometry. Proceedings of the
American Mathematical Society 150 no. 9, 4067-4082. (2022).
• D. Chataur and J. Cirici. Sheaves of E-infinity algebras and applications to algebraic varieties and
singular spaces. Transactions of the American Mathematical Society 375, no. 02, 925-960 (2022).
• J. Cirici and S. O. Wilson. Dolbeault cohomology for almost complex manifolds. Advances in
Mathematics. Volume 391 (2021).
• J. Cirici, J. Salvadó and J. Tarón. Characterization of quantum entanglement via a hypercube of
Segre embeddings. Quantum Information Processing 20, no. 7, Paper No. 252, 28 pp (2021).
• J. Cirici, Daniela Egas Santander, Muriel Livernet and Sarah Whitehouse. Model category structures
and spectral sequences. Proceedings A of the Royal Society of Edinburgh, 150(6), 2815--2848
(2020).
• J. Cirici and G. Horel. Mixed Hodge structures and formality of symmetric monoidal functors.
Annales Scientifiques de l’École Normale Supérieure, 53(4):1071--1104 (2020).
• J. Cirici and S. O. Wilson. Almost Hermitian Identities. Mathematics, Special issue: Inequalities in Geometry and Applications, 8 1357 (2020) .
• J. Cirici and S. O. Wilson. Topological and geometric aspects of almost Kähler manifolds via
harmonic theory. Selecta Mathematica 26, 35 (2020).
• U. Buijs, F. Cantero and J. Cirici. Weight decompositions of Thom spaces of vector bundles in
rational homotopy theory. Journal of Homotopy and Related Structures, 15, 1--26 (2020).
• J. Cirici and A. Roig. Sullivan minimal models of operad algebras. Publicacions Matemàtiques, 63, no 1, 125--154 (2019).