About
"The pursuit of truth and beauty is a sphere of activity in which we are permitted to remain children all our lives." A. Einstein.
Current Position
Since September 2017, I am a Postdoctoral Researcher in Algebraic Geometry at the University of Warsaw · MIMUW.
Research Interest
My research interests are in Birational Geometry. In particular, I work over the field of the complex numbers, with projective varieties, smooth or with some mild singularities and mainly on the following subjects: Fano varieties, Mori Dream Spaces, Mori Program for divisors in Mori Dream Spaces, extremal contractions, with particular regard to fiber type contractions, cone of curves, relative cone of a contraction, and cone of divisors. Actually I am also interested in torus actions on projective manifolds.
News
Together with A. Borowka, J. Koncki, and J. A. Wiśniewski, I am organizing the Autumn School " Homogeneous Spaces, Characteristic Classes " at the Warsaw University pension in Łukęcin in the period 9-13/09/2019.
On 25/09/2019 I will take part at the Workshop on Fano Varieties , at the University of Udine.
In the period 7/10--30/11/2019 I will be at the Freie Universität Berlin in occasion of the Einstein Semester on Algebraic Geometry: Varieties, Polyhedra, Computation.
Curriculum Vitae
Here there is my Curriculum Vitae
Not only Math
..and sometimes the most amazing places are source of inspiration for Mathematics and not only... This is my land
Education
Here you can find all information about my education as mathematician and you can download my Master Degree thesis and PhD thesis.
2011 - 2013
Master Degree in Mathematics
Dept. of Mathematics, University of Palermo
Thesis: Hurwitz spaces and the regular inverse Galois problem
Supervisor: Prof. Vassil Kanev
Grade: 110/110 cum laude et mentione
2014 - 2017
Phd Student
Dept. of Mathematics, University of Turin
Thesis: Non-elementary Fano conic bundles
Advisor: Prof. Cinzia Casagrande
Research Field: Algebraic Geometry
Research
This is the section concerning my scientific research: you can find all information about my papers, works in progress and given talks.
Pubblications and Preprints
- Non-elementary Fano conic bundles , Collectanea Mathematica 70(1), 33-50, 2019.
- Positivity of anticanonical divisors from the view-point of Fano conic bundles , arXiv:1703.02953, Osaka J. Math., 56, 65-74, 2019.
- A characterization of some Fano 4-folds through conic fibrations , with Pedro Montero, arXiv:1803.09129v1, 21 pages.
- Adjunction for varieties with one-dimensional torus action , with Jarosław A. Wiśniewski , arXiv:1904.01896v1, 44 pages.
- A note on flatness of some fiber type contractions , arXiv:1906.10911
- On some Fano 4-folds with Lefschetz defect 3 , arXiv:1907.01213
Works in progress
- Small bandwidth one-dimensional torus actions and birational Geometry, with G. Occhetta, L. E. Solá Conde, J. A. Wiśniewski .
- Torus actions on contact manifolds and Freudenthal magic square, with G. Occhetta, L. E. Solá Conde, J. A. Wiśniewski .
International Conferences and Invited Talks
- Adjunction for varieties with one-dimensional torus action, 02/05/2019, Dept. of Mathematics, University of Torino, Italy.
- Bandwidth 3 varieties and contact manifolds in dimension 11 and 13, 28/03/2019, MIMUW, University of Warsaw, Poland.
- Adjunction for varieties with one-dimensional torus action, 22/11/2018, Institute of Mathematics, Polish Academy of Science, Warsaw, Poland.
- Adjunction for varieties with one-dimensional torus action, 09/11/2018, Dept. of Mathematics, University of Trento, Italy.
- On the LeBrun-Salamon conjecture: new developments in dimensions 7,9,11, and 13, 31/10/2018, Institute of Mathematics, Polish Academy of Science, Warsaw, Poland.
International Conferences and Invited Talks
- A characterization of some Fano 4-folds through conic fibrations, 30/05/2018, Dept. of Mathematics, University of Genova, Italy.
- A characterization of some Fano 4-folds through conic fibrations, 25/05/2018, Dept. of Mathematics, University of Bologna, Italy.
- Torus actions and Combinatorics, 11/04/2018, MIMUW, University of Warsaw, Poland.
- An overview on Fano conic bundles, 18/12/2017, Dept. of Mathematics, University of Milano, Italy.
- Mori Dream Spaces from the viewpoint of Birational Geometry, 13/12/2017, Institute of Mathematics, Polish Academy of Sciences, Krakow, Poland.
International Conferences and Invited Talks
- An overview on Fano conic bundles, 11/12/2017, Dept. of Mathematics, Jagiellonian University of Krakow, Poland.
- Mori Dream Spaces and blow-ups of the Projective space, 09/11/2017, MIMUW, University of Warsaw, Poland.
- Conic bundles: an introduction and work in progress, 18/10/2017, MIMUW, University of Warsaw, Poland.
- The Positivity Problem: an introduction and recent developments, 24/02/2017, Dept. of Mathematics, University of Genova, Italy.
- The Positivity Problem: an introduction and recent developments, 01/02/2017, Dept. of Mathematics, Politecnico di Torino, Italy.
International Conferences and Invited Talks
- Non-elementary Fano conic bundles, 10/05/2016, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland.
- Non-elementary Fano conic bundles, 16/03/2016, Dept. of Mathematics, University of Torino, Italy.
Contacts
I work at MIMUW, University of Warsaw, Faculty of Mathematics, Informatics and Mechanics, Banacha 2, Warsaw, Poland. Office: 5430.
elrom@mimuw.edu.pl