About
I am a predoctoral fellow of the Research Foundation Flanders - Fonds Wetenschappelijk Onderzoek (FWO) based at University of Antwerp (UA), completing my PhD under the supervision of Wendy Lowen.Research interests
Operads // Noncommutative Algebraic Geometry // Deformation TheoryMy interests lie at the intersection of algebraic topology, noncommutative algebraic geometry and homotopical algebra. I study all kinds of higher structures and their deformations theories, with a main focus on applying combinatorial and homological methods. This includes operads and their variations, higher categories and prestacks, deformation complexes, Koszul duality and Gerstenhaber-Schack cohomology.
PhD project (October 2019 - Present)
under the supervision of Wendy Lowen.“Operadic Approaches to Deforming Higher Categories and Prestacks”
Funding
I was hired as part of the ERC Project “Foundations for Higher and Curved Noncommutative Geometry” with principal investigator Wendy Lowen. Thereafter, I was awarded a 1-year umbrella grant by University of Antwerp (UA) and succesfully applied for a 4-year PreDoc grant with Research Foundation Flanders (FWO).
Grants
FWO Travel grant (2023)FWO PreDoc grant (2021 - 2025)
UA umbrella grant (2020 - 2021)
Publications
- Operadic
structure on the Gerstenhaber-Schack complex for prestacks, Selecta Mathematica
– New Series 28 Vol 3 (2022)[Doi] [ArXiv]
(with Hoang Dinh Van and Wendy Lowen)
Preprints
- Box operads and higher Gerstenhaber brackets, ArXiv Preprint (2023), Submitted [ArXiv]
(with Hoang Dinh Van and Wendy Lowen)
- A minimal model for prestacks via Koszul duality for box operads, ArXiv Preprint (2023), Submitted [ArXiv]
- A Deligne conjecture for prestacks, ArXiv Preprint (2024), Submitted [ArXiv] (with Ricardo Campos)
Talks
November 2024
Fourth International Conference on Operad Theory and Related Topics [slides]
Tianjin, China
O
April 2024
Oberwolfach, Germany
May 2022
HYDRA
Antwerp, Belgium
Poster sessions
February 2024
Introductory workshop trimester “Noncommutative algebraic geometry” at SLMath (former MSRI)
[Pdf]
Berkeley, US
February 2024
Connections workshop trimester “Noncommutative algebraic geometry” at SLMath (former MSRI)
[Pdf]
Berkeley, US
Research visits
Research visits
During May and June 2023 I visited Bruno Vallette at Université Paris Sorbonne Nord.
Reading groups
Reading groups
From spring 2019 until spring 2022, we ran a reading seminar on J. Lurie’s
Kerodon, together with
Matt Booth, Violeta Borges Marques, Francesco Genovese, Alessandro Lehmann, Arne Mertens and Piergiorgio Panero.
Since spring 2023, we are running a reading seminar on algebraic deformation theory, together with Violeta Borges Marques, Alessandro Lehmann, Carl Mazzanti, Arne Mertens and Julie Symons. In particular, we are reading Barmeier-Wang’s work on deformation of path algebras and quivers with relations applied to categories of coherent sheaves.
Teaching
2023 - 2024
- Getallen en verzamelingen (Numbers and sets)
University of Antwerp - 1st year bachelor in Mathematics
first semester - exercise sessions - Algebra II: Ringen (Algebra II: Rings)
University of Antwerp - 2nd year bachelor in Mathematics
first semester - exercise sessions
2022 - 2023
- Getallen en verzamelingen (Numbers and sets)
University of Antwerp - 1st year bachelor in Mathematics
first semester - exercise sessions
- Ringen en modulen (Rings and modules)
University of Antwerp - 2nd year bachelor in Mathematics
first semester - exercise sessions
2021 - 2022
- Getallen en verzamelingen (Numbers and sets)
University of Antwerp - 1st year bachelor in Mathematics
first semester - exercise sessions
- Ringen en modulen (Rings and modules)
University of Antwerp - 2nd year bachelor in Mathematics
first semester - theory sessions
2020 - 2021
- Getallen en verzamelingen (Numbers and sets)
University of Antwerp - 1st year bachelor in Mathematics
first semester - exercise sessions
2019 - 2020
- Getallen en verzamelingen (Numbers and sets)
University of Antwerp - 1st year bachelor in Mathematics
first semester - exercise sessions
Contact
Lander Hermans
Departement Wiskunde - Faculteit Wetenschappen
Universiteit Antwerpen
Middelheimlaan 1,
2020 Antwerpen
België
lander dot hermans at uantwerpen dot be
my UA webpage