Aline Zanardini (she/her/hers)
Bernoulli Instructor
École Polytechnique Fédérale de Lausanne
Welcome!
I am a mathematician currently working in Switzerland at EPFL as a Bernoulli Instructor in the Institute of Mathematics. My research is in (complex) algebraic geometry and, in broad terms, my interests lie at the interface of birational geometry and moduli theory.
I obtained my PhD in May 2021 from the University of Pennsylvania, under the supervision of Antonella Grassi. After graduating, I moved to The Netherlands and between July 2021 and June 2023 I was a postdoc at Leiden University, where my mentor was Federica Pasquotto.
I am originally from the south of Brazil and I did my undergraduate studies (B.Sc. in Math) at Federal University of Paraná (UFPR). I also completed a masters degree there.
You can find out more about my academic profile below.
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.
Papers and preprints:
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.
Invited talks:
--------------- Upcoming and/or recent
K-stability and moment maps workshop, INI (EMG program), May 2024
Algebraic geometry and algebraic topology seminar, Université d'Angers, April 2024
--------------- Past
2024
Algebra, Geometry and Number Theory seminar, Leiden University, February 2024
2023
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).
2022
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.
2021
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.
2019 & 2020
Young Brazilian Algebraic Geometry Seminar (Online), August 2020. (Video)
Graduate Student Seminar (MSRI), May 2019. (Abstract)
Teaching experience:
--------------- Courses taught:
As instructor
Geometry, EPFL, Spring 2024 (ongoing)
Introduction to differential geometry for civil engineering, 1st year course, 65 students, 5 TAs.
Metric and Topological Spaces, EPFL, Fall 2023
2nd year course (bachelor in Mathematics), 90 students, 3 TAs.
Representation Theory, Leiden University, Spring 2023 (together with Olga Lukina)
3rd year course (bachelor in Mathematics)
Calculus, Leiden University (LUC), Fall 2022
intensive 7-week introduction to differential and integral calculus, with 2-hour lectures twice a week
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
intensive course with 2-hour classes Monday through Thursday during 5 weeks, no TAs.
As teaching assistant
Advanced Calculus, University of Pennsylvania, Spring 2020
weekly 2-hour long recitations + office hours, 17 students
half in-person and half virtually due the pandemic, departmental good teaching award
Advanced Analysis, University of Pennsylvania, Fall 2018
weekly 2-hour long recitations (x2) + grading + office hours, 39 students divided into 2 sessions
Advanced Linear Algebra, University of Pennsylvania, Spring 2018
weekly 2-hour long recitations (x2) + grading + office hours, 51 students divided into 2 sessions
Calculus I (Active Learning), University of Pennsylvania, Fall 2017
assistance during lectures + weekly 2-hour long recitations (x2) + office hours, 33 students divided into 2 sessions
--------------- Student supervision:
Alice Foffa, supervisor, semester project (bachelor), EPFL, Spring 2024
"1,2,4 and 8: Hurwitz's theorem."
Vittoria Sofia Talia Hance, supervisor, semester project (bachelor), EPFL, Spring 2024
"On the topology of fiber bundles."
Isak Gustaf Salomon Sundelius, supervisor, semester project (master), EPFL, Fall 2023
"Constructing automorphisms of K3 surfaces via elliptic fibrations."
Stefania Vassiliadis, co-supervisor, Master's thesis, ALGANT program, Leiden University, Spring 2022
``Fano manifolds as Mori dream spaces."
Directed Reading Program (DRP) at UPenn, Department of Mathematics, Spring 2020
Supervised an undergraduate student in a semester-long reading project in Applied Topology.
--------------- Teaching training:
I hold the Dutch "Basis Kwalificatie Onderwijs" (BKO). Track completed at Leiden University. Certificate awarded July 2023.
At Penn I participated in a number of teaching related workshops organized by the CETLI such as:
Designing for equity and engagement in online teaching (2020)
Facilitating live sessions (2020)
Helping students help themselves (2020)
Making the most of recitation (2019)
I also participated and completed the SAIL TA training during Fall 2017.
Activities that I am/was involved in:
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