Luigi Martinelli Mathematician

I am a postdoc in Mathematics at the University of Bielefeld, in Germany.




I am part of the working group of Prof. Charles Vial, and I am funded by the "TRR 358 - Integral structures in geometry and representation theory" (Deutsche Forschungsgemeinschaft).



I completed my PhD in December 2023 at Université Paris-Saclay
under the supervision of Prof. Emanuele Macrì.

Resolution of singularities
of a Kummer surface

RESEARCH INTERESTS

My research is in the domain of algebraic geometry.

More precisely, I am interested in:

 
  • K3 surfaces and holomorphic symplectic varieties
  • Moduli spaces of coherent sheaves
  • Derived categories of coherent sheaves
  • Categorical resolutions of singularities

2024

Postdoc at the University of Bielefeld

2023

PhD in Mathematics at Université Paris-Saclay. Advisor: Prof. Emanuele Macrì

2020

ALGANT double degree at Université Paris-Sud and at Università degli Studi di Padova. Advisor: Prof. Emanuele Macrì

2018

Bachelor degree at Università degli Studi di Padova. Advisor: Prof. Luisa Fiorot

2015

High school certificate in scientific studies at Istituto d’istruzione G.W. Leibniz, Bormio

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Published papers and preprints

L. Martinelli, Higher-dimensional O'Grady's resolutions and their exceptional locus, preprint 2025 (arXiv).

W. Cattani, F. Giovenzana, S. Liu, P. Magni, L. Martinelli, L. Pertusi, J. Song, Kernels of categorical resolutions of nodal singularities, Rendiconti del Circolo Matematico di Palermo Series 2 (895), 2023. 

Talks

26 March 2025

On the exceptional locus of O’Grady’s non-symplectic resolutions

Algebraic geometry seminar (IMPAN Krakow).

Details

12 March 2024

Introduction to Enriques manifolds

Workshop on Enriques manifolds (Paris).

Details

Organised events

The poster of the conference, work of Izabella M de Freitas

23-27 May 2022

Géométrie algébrique en liberté XXIX

Laboratoire de Mathématiques d’Orsay.

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Teaching

Winter 2025

Geometry and Topology II (Tutor)

Universität Bielefeld

Summer 2025

Calculus II (Tutor)

Universität Bielefeld

Winter 2024

Algebraic Geometry IV (Tutor)

Universität Bielefeld

Summer 2023

Fourier Analysis for Physics (Tutor)

Université Paris-Saclay

Winter 2022

Differential Equations for Biology (Tutor)

Université Paris-Saclay

Summer 2022

Fourier Analysis for Physics (Tutor)

Université Paris-Saclay

Winter 2021

Linear Algebra (Tutor)

Université Paris-Saclay

Summer 2021

Fourier Analysis for Physics (Tutor)

Université Paris-Saclay

Winter 2020

Linear Algebra (Tutor)

Université Paris-Saclay

Summer 2026

Algebraic Geometry I (Tutor)

Universität Bielefeld