Martina Iannella

I am a postdoctoral researcher at the Institute of Discrete Mathematics and Geometry of the TU Wien.

I received my PhD in October 2023 at the University of Udine under the supervision of Alberto Marcone and Vincenzo Dimonte.

My research areas are Mathematical Logic and Set Theory. My research focuses on descriptive set theory, large cardinals and generalized descriptive set theory.

Preprints:

• The complexity of wellordered- and scattered-convex embeddability
  Joint with Juan P. Aguilera
  Submitted, 2025.
• Piecewise convex embeddability on linear orders
  Joint with Alberto Marcone, Luca Motto Ros, and Vadim Weinstein
  Submitted, 2023 (arXiv copy).

Publications:

• A one-page proof of a theorem of Beleznay
  Joint with Juan P. Aguilera
  Bulletin of Symbolic Logic, in press.
• Convex embeddability and knot theory
  Joint with Alberto Marcone, Luca Motto Ros, and Vadim Weinstein
  Transactions of the American Mathematical Society, in press (arXiv copy).
• Descriptive properties of I2-embeddings
  Joint with Vincenzo Dimonte and Philipp Lücke
  The Journal of Symbolic Logic (arXiv copy, journal copy).

In preparation:

• Classification of 3-manifolds and Cantor sets of R^3
  Joint with Vadim Weinstein.

Selected Talks

• Classification of 3-manifolds, Young Topology and Set Theory Meeting, Catania (online), 30 January 2025
• Classification of 3-manifolds, Séminaire Général de Logique, Université de Paris Cité, Paris, 9 December 2024
• Descriptive consequences of rank-into-rank axioms, Conference: 120 Years of Choice, University of Leeds, 10 July 2024
• Piecewise convex embeddability on linear orders, STUK 12: Set Theory in the UK, University College London (online), 15 February 2024