# Aline Zanardini

Institute of Mathematics, EPFL

# About me

I am currently a Bernoulli Instructor at EPFL in the Institute of Mathematics. From July 2021 until June 2023 I was a postdoc at Leiden University in the Mathematical Institute.

I obtained my PhD in May 2021 from the University of Pennsylvania under the supervision of Antonella Grassi. Before that I completed B.Sc. and M.Sc. degrees in Mathematics at Federal University of Paraná (UFPR) in Brazil.

Upcoming and/or recent travel:

Leiden, The Netherlands, February 2024

Angers, France, April 2024

K-stability and moment maps, Isaac Newton Institute for Mathematical Sciences, May 2024.

## Research

I enjoy thinking about low-genus fibrations, Halphen surfaces, K3 surfaces, moduli spaces and invariants of singularities.

Preprints

On the GIT stability of linear systems of hypersurfaces in projective space. (joint with M. Hattori). ArXiv. (submitted).

Publications

Non-symplectic automorphisms of order multiple of seven on K3 surfaces. (joint with R. Bell, P. Comparin, J. Li, A. Rincón-Hidalgo and A. Sarti). JPAA Vol. 228, Issue 4, April 2024.

The moduli space of rational elliptic surfaces of index two. (joint with R. Miranda) Indag. Math. Vol. 33 (2022), Issue 5, 919-935.

A note on the stability of pencils of plane curves. Math. Z. 300 (2022), 1741–1751.

Stability of pencils of plane sextics and Halphen pencils of index two. Manuscripta Math. (2022).

Explicit constructions of Halphen pencils of index two. Rocky Mountain J. Math. Vol. 52 (2022), No. 4, 1485-1522. ArXiv version.

## Talks

Upcoming

K-stability and moment maps workshop, INI (EMG program), May 2024

Algebraic geometry and algebraic topology seminar, Université d'Angers, April 2024

Algebra, Geometry and Number Theory seminar, Leiden University, February 2024

Past

Algebra and Number Theory seminar, University of Glasgow, November 2023.

Seminários contínuos PPGM, UFPR (Online), November 2023.

Joy in algebraic geometry. A conference in honor of Rick Miranda. September 2023.

AG Seminar at Utrecht University, June 2023.

Axioma Symposium, University of Groningen, May 2023.

Algebra seminar, University of Groningen, May 2023.

Online Algebraic Geometry Seminar, Nottingham University, April 2023.

Diamant Symposium, Utrecht, April 2023.

Explicit Moduli Problems in Higher Dimensions, BIRS workshop, Banff, Canada, Feb 2023 (Video).

Algebraic Geometry Seminar, ICTP, November 2022.

Arithmetic & Algebraic Geometry seminar, University of Amsterdam, September 2022.

Seminario di algebra e geometria, Università di Bologna, June 2022.

GAeL XXIX, Paris, May 2022.

Junior Algebraic Geometry Seminar, April 2022.

Student Algebraic Geometry and Foliations Seminar at IMPA (Online), April 2022.

Groups, Arithmetic & Algebraic Geometry Seminar, EPFL, November 2021.

Seminar Algebra and Geometry, University of Basel, November 2021.

Algebra, geometry and number theory seminar, Leiden University, October 2021.

AGNES Showcase (Online), Boston College, October 2021. (Video)

Second ECOS-ANID workshop in Algebraic Geometry (Online), July 2021. (Video)

ZAG seminar (Online), July 2021. (Video)

Columbia Algebraic Geometry seminar, Columbia University (Online), May 2021.

Algebra seminar, University of Groningen (Online), May 2021.

FRAGMENT seminar (Online), March 2021.

Seminario di algebra e geometria, Università di Bologna (Online), March 2021.

Algebra and Algebraic Geometry Seminar, University of Washington (Online), February 2021.

Algebra Seminar, Rutgers University (Online), February 2021.

Young Brazilian Algebraic Geometry Seminar (Online), August 2020. (Video)

Graduate Student Seminar (MSRI), May 2019. (Abstract)

## Teaching

Instructor

Geometry, EPFL, Spring 2024

Metric and Topological Spaces, EPFL, Fall 2023

Representation Theory, Leiden University, Spring 2023 (together with Olga Lukina)

Calculus, Leiden University (LUC), Fall 2022

Representation Theory, Leiden University, Spring 2022 (together with Bart de Smit)

Calculus, Leiden University (LUC), Fall 2021

Ideas in Mathematics, University of Pennsylvania, Summer 2019

Teaching Assistant

Advanced Calculus, University of Pennsylvania, Spring 2020

Advanced Analysis, University of Pennsylvania, Fall 2018

Advanced Linear Algebra, University of Pennsylvania, Spring 2018

Calculus I (Active Learning), University of Pennsylvania, Fall 2017

## Activities

Women* at the MI meetings

Co-organizer - Spring 2022, Fall 2022, Spring 2023

Algebra, geometry and number theory (AGNT) seminar

Co-organizer- Spring 2022, Fall 2022 and Spring 2023

American Graduate Student Algebraic Geometry Seminar

Co-organizer – Fall 2020 and Spring 2021 (Webpage)

Very Short Talks at Penn

Co-organizer – Fall 2020 and Spring 2021

Directed Reading Program (DRP) at Penn

Mentor – Spring 2020

woMAN UP! – Fall 2019

I participated on a panel about grad student life on the workshop woMan UP!. This was an event aimed at undergraduate women who were applying to math graduate school.

Toric Geometry Reading Seminar

Organizer - Fall 2018

TA training - 2018, 2019, 2020

For three consecutive years I was one of the master TAs in the Math department at Penn. My duties included helping to organize and to conduct the annual TA training aimed at first time TAs. And also carrying out in-class observations of the new TAs followed by informal meetings.

## Contact me

aline [dot] zanardini [at] epfl [dot] ch