Juan Paucar
Mail: jlpaucar
@
pucp.edu.pe
I am a lecturer at
Pontificia Universidad Catolica del Peru. Previously I was a lecturer at
Universidad Nacional de Ingeniería. I defended my PhD thesis on June 2
nd, 2025 at
Université Paris Cité,
under the supervision of
Romain Tessera,
at the
IMJ-PRG,
within the
Operator Algebras Team.
I am mainly interested on measured group theory and the large scale geometry of locally compact groups, as well as isometric actions of groups on Banach spaces.
Here is a detailed
CV actualized in December 2024. .
Teaching
- Exercise Sessions of "Algèbre et Analyse Fondamentales 1" (L2 MIASHS 2024)
- Colles Mathematical Reasoning and Algebra (2024-2025)
Research
-
Isoperimetric Profile and Regular Embeddings of Locally compact groups,
preprint.
arXiv.
-
On growth of cocycles of isometric representations on Lp-spaces . Joint work with Antonio Lopez Neumann
preprint.
arXiv . Accepted in Journal of Functional Analysis.
-
Obstructions for quantitative measure equivalence between locally compact groups . Joint work with Corentin Correia
preprint.
arXiv .
-
Quantitative polynomial cohomology and applications to Lp-measure equivalence . Joint work with Antonio Lopez Neumann
preprint.
arXiv .
Talks
-
27-03-2025: Workshop "Rigidity of isometric actions" at CIRM (Marseille, France)
-
03-03-2025: Séminaire "Groupes et Actions" (Orsay, France)
-
30-01-2025: Operator Algebras Seminar IMJ-PRG (Paris, France)
-
12-12-2024: Arbre de Noël 2024 en Géométrie Non Commutative (Orléans, France)
-
15-11-2024: Working group on Ergodic Theory at the IMJ-PRG (Paris,France)
-
11-07-2024: Workshop "Orbit equivalence" (Besse-en-Chandesse, France)
-
13-04-2023: Operator Algebras Seminar IMJ-PRG (Paris, France)
-
15-03-2022: ENS Group Theory Seminar (Paris, France)
-
13-12-2021: Working Group Geometric Measure Theory (Orsay, France)
Notes