Lorenzo Sillari
Research Fellow in Geometry, University of Parma
Research Fellow in Geometry, University of Parma
I hold a nine-month research fellowship in Geometry at the University of Parma, from May 1, 2026 to January 31, 2027. Previously, I was a postdoctoral fellow in Geometry at the Erdős Center, Alfréd Rényi Institute of Mathematics, in Budapest from November 2025 to March 2026. I held a research appointment in Geometry at the University of Parma from November 2024 to October 2025.
My research is in complex differential geometry. In particular, I am interested in complex and almost complex structures, SU(m)-structures, special metrics, and spaces of harmonic forms. My most recent research is focused on the Kodaira dimension of almost complex 4-manifolds.
Here you find an updated list of my papers and preprints, while here is a list of talks I gave and of conferences or schools I attended.
I received my PhD in Geometry and Mathematical Physics from SISSA in Trieste on October 18, 2024, under the supervision of Prof. Adriano Tomassini. My doctoral thesis was titled Invariants of almost complex and almost symplectic manifolds. You can find the full text here.
Before my PhD, I completed both my bachelor's and master's degrees at the University of Parma under the supervision of Prof. Adriano Tomassini. My master's thesis, completed in July 2020, was titled Dolbeault cohomology and Hodge theory on almost complex manifolds.
During my Bachelor, I spent one year abroad at the University of Granada.
I was a visiting researcher at the University of Warwick in June 2026 and at the HUN-REN Alfréd Rényi Institute of Mathematics from August to October 2025.
I served as the PhD students' representative in Geometry and Mathematical Physics at SISSA. In fall 2026, I co-teach Algebra Lineare e Statistica for Management Engineering undergraduates at the University of Parma. I designed and recorded the course EDUNEXT MOOC MathRamp – Survival Kit to Mathematics. In autumn 2023, I taught a 24-hour preparatory mathematics course for first-year students in Mathematics and Artificial Intelligence and Data Analytics at the University of Trieste. In spring 2019 and 2020 I held 40 hours of tutoring sessions for Geometry 1B at the University of Parma.
I am a co-organizer of the conference Perspectives in complex differential geometry, Ricordando Paolo, to be held in Parma in December 2026. I was co-organizer of the conference Complex Differential Geometry and Special Structures, held in Parma on June 23 - 25, 2025, and of the Focused Workshop on cohomological and metric properties of Hermitian and symplectic manifolds, held in Budapest on February 23 - 27, 2026.
I was co-organizer of the Junior Geometry and Mathematical Physics Seminars for the years 2023 and 2024 and of the event Junior Math Days for the years 2022 and 2023.
You can find more details in my CV.