Academic home page of Gregor Botero

Gregor Botero

Contact

Mail address:

firstname.lastname[-atsymbol-]gmail.com

Work

I work for the National Association of Statutory Health Insurance Funds, GKV-Spitzenverband.

Before I was a PhD student at Humboldt University Berlin. My advisor was Gavril Farkas. I was part of the IRTG "Moduli and automorphic forms", of the Berlin Mathematical School and of the SFB Space – time – matter. My research interest was in algebraic geometry, specifically in moduli spaces of curves and syzygies of curves and abelian varieties.
From September 2015 until February 2016 I was staying at Utrecht University, the Netherlands. My advisor there was Carel Faber.

From November 2016 to February 2017 I was a guest researcher at the Riemann Center in Hannover.

Publications and preprints

Twists of Mukai bundles and the geometry of the level 3 modular variety over M_8, Trans. Amer. Math. Soc. (2018), to appear, pdf, arXiv, DOI: 10.1090/tran/7239
R_15 is of general type, Algebra Number Theory 10:9 (2016), pp. 1949–1964, pdf, arXiv, DOI: 10.2140/ant.2016.10.1949
The normal bundle of canonical genus 8 curves, (2017), pdf, arXiv

Notes

A poster on the birational geometry of modular varieties that I presented at the AMS Summer Institute 2015 in Salt Lake City: pdf (created using TikZposter)
An updated poster, presented during the onsite visit of the scientific evaluation committee of the IRTG 1800 in Berlin: pdf
A more introductory poster on the same topic, presented at the 4th Heidelberg Laureate Forum: pdf

Some (lecture) notes that I have typed up over the years. If you find mistakes (including typos) I would be happy to hear about them.

Decompositions of the diagonal and applications, pdf
Reading seminar on Cubic Hypersurfaces at Leibniz Universität Hannover
Rigid spaces and analytification, pdf
IRTG college seminar "Berkovich spaces"
Singularities of hypersurfaces and theta divisors, pdf
Reading seminar on Multiplier ideals and Siu's theorem
The Tate module and finiteness theorems for abelian varieties, pdf
IRTG college seminar "Faltings' theorem"
Orlov's criterion, pdf
IRTG college seminar "Abelian varieties and Fourier–Mukai transforms"
The Shimura construction and the Taniyama–Shimura conjecture, pdf
IRTG college seminar "Fermat's last theorem"
Deformation theory of algebras, pdf
Lecture notes for the course given by Timo Schürg at HU Berlin

2016 IRTG Student Conference

Miguel Grados and me organized the first student conference of the IRTG 1800 on 3 September 2016 at the Mathematical institute of Leiden University.
The official webpage of the conference can be found here.

"What is ...?" seminar

The "What is ...?" seminar is a weekly seminar organized by students for students. The goal is to make accessible ideas from all over mathematics, often as an introduction to subsequent colloquium talks. Students also have a chance to train their presentation skills in a relaxed atmosphere.
Visit our vimeo channel here. Don't hesitate to contact us if you want to give a talk or join the organizational team.