Alessio Pellegrini
About me
My name is Alessio.
In May 2023 I successfully defended my PhD thesis "Generalized Novikov homology theory and growth rates in contact dynamics" in pure mathematics at ETH Zürich under the supervision of Will Merry and Paul Biran.
Looking for jobs
As of now, I am on the job market. I'm looking to make an impact in the industry with a good cause (e.g. sustainable and ecological products) by using my mathematical- and problem solving skills (for instance, machine learning, differential geometry, dynamical systems...).
If you have an offer and/or want to know more about me, feel free to reach out to me via mail: alessio.a.pellegrini at gmail dot com.
Research
I used to work in the area of symplectic topology and geometry. I'm especially interested in Floer- and symplectic homology and their respective Novikov flavoured variations.
Papers & thesis
Generalized Novikov Homology Theory and Growth Rates in Contact Dynamics (2023), PhD thesis 2023, available here. Advised by Will Merry and Paul Biran.
A Bangert-Hingston Theorem for Starshaped Hypersurfaces (2022), published in Journal of Modern Dynamics , also available here.
Polytope Novikov Homology (2020), published in Journal of Fixed Point Theory and Applications, available here.
Products and Spectral Numbers in Novikov-Morse Homology (2018), MSc thesis 2018. Advised by Will Merry.
Invited talks
March 2023: Junior Symplectic Seminar, ETH Zürich
December 2022: Junior Symplectic Seminar, ETH Zürich
December 2022: Symplectic Geometry Seminar (SGS), Universität Heidelberg
November 2022: Symplectic Geometry Seminar, ETH Zürich
October 2022: Séminaire de systèmes dynamiques, UniNe Neuchâtel
October 2022: Séminaire Géométrie et applications, IRMA Strasbourg
May 2022: Geometry, groups and Dynamics Seminar, ENS Lyon
October 2021: Geometry Graduate Colloquium, ETH Zürich
May 2021: Informal Junior Symplectic Geometry (Virtual) Seminar, ETH Zürich
October 2020: Symplectic Geometry Seminar, ETH Zürich
Organization
I coorganized an informal seminar aimed towards master students and early PhDs interested in symplectic geometry:
Fall 2022, Spring 2023: Junior Symplectic Geometry Seminar, ETH Zürich
May 2021: Informal Junior Symplectic Geometry (Virtual) Seminar, ETH Zürich
Teaching
Autumn semester 2016: Teaching assistant for the course Analysis III (D-MAVT),
June 2017: Teaching assistant for a one week course on Analysis I and II (D-MATH),
Autumn semester 2017: Teaching assistant for the course Analysis III (D-MAVT),
January 2018: Teaching assistant for a one week course on Linear Algebra I (D-MATH),
Spring semester 2018: Teaching assistant for the course Topology (D-MATH),
Autumn semester 2018: Course coordinator for the course Differential Geometry I (D-MATH),
Spring semester 2019: Course coordinator for the course Differential Geometry II (D-MATH),
Autumn semester 2019: Course coordinator for the course Dynamical Systems I (D-MATH),
Spring semester 2020: Course coordinator for the course Dynamical Systems II (D-MATH),
Autumn semester 2020: Course coordinator for the course Differential Geometry I (D-MATH),
Spring semester 2021: Course coordinator for the course Analysis I (D-INFK),
Autumn semester 2021: Course coordinator for the course Analysis II (D-INFK) and teaching assistant for Differential Geometry I (D-MATH),
Spring semester 2022: Course coordinator and teaching assistant for Mass und Integral (D-MATH),
Fall semester 2022: Course coordinator for the course Mathematik I: Analysis I und Lineare Algebra (D-ERDW, D-HEST, D-USYS) and
teaching assistant for Differential Geometry II (D-MATH),Spring semester 2023: Course coordinator for the course Mathematik II: Analysis II und Lineare Algebra (D-ERDW, D-HEST, D-USYS).
Contact
My email adress is alessio.a.pellegrini at gmail dot com
Trivia
Outside of mathematics I like to cook (Italian and Chinese cuisine), do sports (cycling, (trail) running, gym, bouldering, football, snowboarding, and crossfit)...
...and of course enjoy math memes!
Climb to Colle Dell'Agnello (Italian-French border)