15th of december 2021 annual meeting of the SoMaChi Number theory section. talk: Propiedades hereditarias de sumas de cuadrados. ( slides in English)
{Upcoming talk}
{Recent talks}
22 th of october 2021 USACH postgraduate seminar talk: Simetrías en grafos y (des)igualdad de genero. ( slides in English)
28th of july 2021 COMCA 2021 talk: A ruled residue theorem for curves.
{Publications}
Nonsplit conics in the reduction of an arithmetic curve.
(with K.J. Becher)
preprint (submitted): arXiv:2005.11855
Hereditarily non-pythagorean fields.
(with D. Leep)
Journal of Algebra, vol. 574 (preprint version: arXiv:2001.00618
)
On an isotropy criterion for quadratic forms over function fields of p-adic curves. Banach Center Publicactions, volume 108 .
Lower bounds for pythagoras numbers of function fields.
Commentarii Mathematici Helvetici, volume 90, issue 2
Sums of squares in algebraic function fields over a complete discretely valued field. (with K.J. Becher and J. Van Geel).
Pacific Journal of Mathematics, 267 (2).
Splitting fields of conics and sums of squares of rational functions.
Manuscripta Mathematica, 141 (3-4).
A note on the representation of positive polynomials with structured sparsity. (with T. Netzer and M. Schweighofer).
Archiv der Mathematik, volume 89 (5) (preprint version:
{Organizing}
Since 2018
Santiago Number Theory and Algebra seminar (SaNTAS)
(currently suspended due to pandemic)
with N. Garcia Fritz (PUC) and G.Lucchini Arteche (UChile)
January 2018
Quadratic forms in Chile 2018 international conference (8th-12th of january, UTalca, poster ) and summerschool (2nd - 5th of january, USACH, poster )
{Invited talks}
July 2018 (summer school)
ALGAR 2018: Sums of squares in fields (UAntwerp)
mini course: Sums of squares four squares in function fields of real surfaces.
December 2018
Annual meeting of the Chilean Mathematical Society (SoMaChi)
mini course: Curvas elípticas y sumas de cuadrados de funciones.
April 2018
Oberwolfach workshop
Quadratic forms and related structures over fields
talk: Uniform bounds on sums of squares modulos sums of 2 squares in function fields of curves.
June 2013
Oberwolfach workshop Quadratic Forms & Linear Algebraic Groups
talk: Valuations on real function fields and lower bounds for the pythagoras number