José Pedro Quintanilha

Photo credit: Stefan Friedl

Institut für Mathematik IMa
Im Neuenheimer Feld 205
69120 Heidelberg

E-mail: jquintanilha [at] mathi [dot] uni-heidelberg [dot] de (note the "i" in "mathi")
Office: 3 / 407

I am a postdoctoral researcher at the Institute of Mathematics of the University of Heidelberg, in the working group of Petra Schwer. Here is its webpage: Geomety and Group Theory.

I am interested in low-dimensional topology and geometric group theory, especially with a combinatorial flavor.

Here is my CV (last updated Nov 2023).

ORCID: 0000-0001-6636-3400

Articles

• Preprint: Geometric invariants of locally compact groups: the homological perspective, joint with Kai-Uwe Bux and Elisa Hartmann.
  arXiv:2411.13272 [math.AT].
• Preprint: Algorithms in 4-manifold topology, joint with the participants of the workshop with the same title, which took place in Regensburg, September 2024.
  arXiv:2411.08775 [math.GT].
• Preprint: Geometric invariants of locally compact groups: the homotopical perspective, joint with Kai-Uwe Bux and Elisa Hartmann.
  arXiv:2410.19501 [math.GR].
• Preprint: Writhe invariants of 3-regular spatial graphs, joint with Stefan Friedl and Tejas Kalelkar.
  arXiv:2404.09649 [math.GT].
• Canonical decompositions and algorithmic recognition of spatial graphs, joint with Stefan Friedl, Lars Munser and Yuri Santos Rego.
  Published in Proceedings of the Edinburgh Mathematical Society (2024). Preprint: arXiv:2105.06905 [math.GT].
• The complex of hypersurfaces in a homology class, joint with Gerrit Herrmann.
  Published in Michigan Mathematical Journal (2023). Pre-print: arXiv:2007.00522 [math.GT].
• An algorithm to calculate generalized Seifert matrices, joint with Stefan Friedl and Chinmaya Kausik.
  Published in Journal of Knot Theory and its Ramifications (2022). Pre-print: arXiv:2204.10004 [math.GT].
  Try out Chinmaya's Clasper!
• Stable integral simplicial volume of 3-manifolds, joint with Daniel Fauser, Clara Löh and Marco Moraschini.
  Published in Journal of Topology (2021). Pre-print: arXiv:1910.06120 [math.GT].

Additional written work

• My reviews for zbMATH Open.
• Extended abstract, Computing the topological volume of some three-manifolds, joint with several other participants of the MATRIX-MFO Tandem Workshop 2439a. See p. 20 of the Oberwolfach Report (2024).
• Extended abstract for my talk, Canonical decompositions and algorithmic recognition of spatial graphs, on the Oberwolfach Workshop 2303. See p. 37 of the Oberwolfach Report (2023).
• My PhD thesis, Three slices of 3-manifold topology: spatial graphs, surface complexes and simplicial volumes, supervised by Stefan Friedl and Clara Löh (2022).
• My Master's thesis, Curves on the boundary of handlebodies, supervised by Sebastian Hensel (2017).
• Notes for a summer school for highschool students (in Portuguese): Jogos binários (2015).

Organized events

• GoTh Workshop: Groups of Thompson and their relatives, OvGU-Magdeburg, 18 - 22 September 2023. Co-organized with Kai-Uwe Bux, Ilaria Castellano and Yuri Santos Rego. Webpage.

Invited talks

• An observation about 3-regular spatial graphs, LKS Seminar, Universität Regensburg (25 Jul 2023).
• Canonical decompositions and algorithmic recognition of spatial graphs, Oberwolfach Workshop 2303: Low-dimensional Topology, Mathematisches Forschungsinstitut Oberwolfach (19 Jan 2023).
  
• Computing generalized Seifert matrices for closures of colored braids, Geometry Seminar, Universidade de Coimbra (5 Jan 2023). Abstract and notes.
• An overview of Sigma-invariants, LKS Seminar, Universität Regensburg (2 Dec 2022).
• An overview of Sigma-invariants, Tea Seminar, Universität Münster (14 Nov 2022). Abstract and notes.
• Studying 3-manifolds through the finite quotients of their fundamental groups, Geometry Graduate Colloquium, ETH Zürich (22 Oct 2020). Slides.
• Hypersurfaces representing a codimension-1 homology class, AG Seminar, Karlsruher Institut für Technologie (23 Jan 2020). Abstract.
• Uma introdução à topologia e à teoria de nós, Encontro Nacional de Estudantes de Matemática, Universidade do Porto (15 Apr 2019). Slides (in Portuguese).

Teaching

• Winter sem. 2024: Teaching assistant for Geometric Group Theory, by Petra Schwer.
• Summer sem. 2024: Teaching assistant for Coxeter Groups and Buildings, by Petra Schwer.
• Winter sem. 2023: Teaching assistant for Operations Research, by Werner Hoffmann.
• Summer sem. 2023: Teaching assistant for Geometry and Topology, by Stefan Bauer.
• Winter sem. 2020: Organizer of a student seminar on L²-invariants, jointly with Lars Munser. Here is the program.
• Summer sem. 2019: Teaching assistant for Group Cohomology, by Clara Löh.
• Summer 2015: Monitor for a summer school for highschool students at the University of Porto.

Short CV

• 2022 - 2024: Postdoctoral researcher at the Universiy of Bielefeld, with Kai-Uwe Bux.
• 2018 - 2022: PhD at the University of Regensburg, with Stefan Friedl and Clara Löh.
• 2015 - 2017: MSc in Mathematics a the University of Bonn.
• 2012 - 2015: BSc in Mathematics at the University of Porto.
• 2007 - 2012: MSc in Bioengineering at the University of Porto.