João Lobo Fernandes | João Lobo Fernandes

Address

Institute of Mathematics
Johannes Gutenberg-Universität Mainz
Staudingerweg 9, 4. OG, 55128 Mainz
Germany
Email: jlobopire [at] uni - mainz . edu

Short Bio

I’m a postdoctoral researcher originally from Portugal at the Johannes Gutenberg-Universität Mainz in the group of Markus Land. I finished my Ph.D. in Mathematics in May 2026 at the Karlsruhe Institute of Technology, under the supervision of Manuel Krannich. Previously, I studied at the University of Coimbra and the University of Copenhagen.

Research Interests

I am broadly interested in the interactions between homotopy theory and geometric topology. More precisely, I am currently interested in the study of the homotopy type of moduli spaces of manifolds, automorphism groups and embedding spaces. During my Ph.D., I have focused on finding analogs of well-established results about even-dimensional manifolds in the context of odd dimensions.

For more on my academic background and contact information, please see my CV.

I was a part of the organising team of the European Talbot Workshop for the 2025 and 2026 editions.

Preprints:

Diffeomorphism groups of solid tori and the rational pseudoisotopy stable range (arXiv) (2026) — with Samuel Muñoz-Echániz
Stable moduli spaces of odd-dimensional manifold triads (arXiv) (2025)

Talks:

Nov 2026 - tba - AGZT Seminar, Mainz.
Nov 2026 - tba - Topology Seminar, Bonn.
Jan 2026 - Stable moduli spaces of odd-dimensional manifold triads - MHTRT Online Seminar.
Jan 2026 - Stable moduli spaces of odd-dimensional manifold triads - Topology Seminar, Bielefeld.
Jan 2026 - Stable moduli spaces of odd-dimensional manifold triads - Topologie Oberseminar, Münster.
Dec 2025 - Stable characteristic classes of odd-dimensional manifold bundles - Geometry Seminar, Coimbra.
Nov 2025 - Stable moduli spaces of odd-dimensional manifold triads - Topological Activities, Stockholm.
Aug 2025 - Stable moduli spaces of odd-dimensional triads - Infinity Operads and Applications to Geometry, Copenhagen.
June 2025 - Stable moduli spaces of odd-dimensional triads - Young Topologists Meeting 2025, Stockholm.
May 2025 - Stable moduli spaces of high-dimensional manifolds - AG Seminar, Karlsruhe.

Writing:

My Thesis - Published at the KIT Bibliothek.
A conjecture by Galatius and Randal-Williams - Report for a project from 2021 on the work of Burklund, Hahn and Senger, joint with Jan McGarry and supervised by Søren Galatius.
Synthetic spectra - Notes from my talk for the course Topics in Algebraic Topology 2021 at the University of Copenhagen.