I am a postdoc in geometry at the
School of Mathematics
the University of Edinburgh,
working with Arend Bayer.
I graduated from Imperial College London in September 2016, my supervisor was Paolo Cascini.
Here is my CV.
My e-mail address is: Diletta.Martinelli[at]ed.ac.uk .
My research interests are in algebraic geometry and in particular in higher dimensional birational geometry. My work aims to study effectivity questions on algebraic varieties related to their underlying topology as complex manifolds. I am also interested in positive characteristic methods, moduli spaces and Calabi-Yau manifolds. I am currently interested in the interplay between birational geometry of moduli spaces of K3s surfaces and Bridgeland stability conditions.
Here is the list of my works:
- D. Martinelli, Y. Nakamura, J. Witaszek, On the base point free theorem for log canonical threefold over the algebraic closure of a finite field. Algebra & Number Theory, Vol. 9, (2015) 725-747. arXiv:1407.5146.
- D. Martinelli, J.C. Naranjo, G.P. Pirola, Connectedness Bertini Theorem via Numerical equivalence. Advances in Geometry, Vol.17, (2017), no.1, 31-38 . arXiv:1412.1978.
- C. Fontanari, D. Martinelli, Why should a birational geometer care about Bridgeland stability conditions? To appear in BUMI volume dedicated to Workshop on algebraic surfaces.arXiv:1605.04803. (Survey.)
- C. Fontanari, S. Diverio, D. Martinelli, Rational curves on fibered Calabi-Yau manifolds. To appear in Documenta Mathematica. arXiv:1607.01561.
- D. Martinelli, S. Schreieder, L. Tasin, On the number and boundedness of log minimal models of general type. To appear in the Annales scientifiques de l'ENS. arXiv:1610.08932.
- C. Fontanari, D. Martinelli, A remark on rationally connected varieties and Mori Dream Spaces. To appear on the Proceedings of the Edinburgh Mathematical Society. arXiv:1706.05200.
- D. Martinelli, Effective bounds for the number of minimal model programs of a smooth threefold. Submitted in January 2018. arXiv:1612.05449.
- D. Martinelli, On the geometry of contractions of the moduli space of sheaves on a K3 surface. In preparation.
Other activitiesIn the academic year 2013-2014, I organised the Junior Geometry Seminar at Imperial College.
In April 2014 I co-organised the Traumatic Workshop: Birational Geometry and Fano Varieties at Imperial College.
In the academic year 2014-2015, I was the Imperial organiser for the Calf Seminar.
I co-organised the EDGE geometry seminar at the University of Edinburgh in 2017/2018.
I was one of the organisers of the winter school New Advances in Fano Manifolds at the University of Cambridge.
I was one of the organisers of the 2018 Nairobi Workshop in Algebraic Geometry at the University of Nairobi.
I support charities that help the development of mathematical education in Africa. With other PhD students, I created a Christmas Card with a photo of the Imperial Geometry Group and sold it to support the Lightyear Foundation. I am currently fundraising for SAMI, Supporting African Maths Initiative.
In February 2018 I visited AIMS South Africa in Cape Town and in November 2019 I will be teaching at AIMS Cameroon in Limbe.