︎
Lander Hermans

About

 Publications
& Preprints

Talks
& Posters
& Seminars
& Conferences

Teaching

Contact


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 Theory

My 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)

Education

2017 - 2019
Master in Pure Mathematics
  • Graduated Magna Cum Laude
  • Fall Semester 2018-2019 spent at Université Paris Diderot VII (Paris) as part of Erasmus program
University of Antwerp (UA)
2013 - 2017
Bachelor in Mathematics
  • 2015 - 2017 Continuation at Free University Brussels
  • 2014 - 2015 Gap year in Berlin
  • 2013 - 2014 First year at University of Antwerp
University of Antwerp (UA), Free University Brussels (VUB)
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Publications


  1. 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)
  2. A Deligne conjecture for prestacks, Proceedings of the American Mathematical Society (To appear)  [ArXiv]
    (with Ricardo Campos)


Preprints


  1. Box operads and higher Gerstenhaber brackets, ArXiv Preprint (2023), Submitted [ArXiv]
    (with Hoang Dinh Van and Wendy Lowen)
  2. A minimal model for prestacks via Koszul duality for box operads, ArXiv Preprint (2023), Submitted [ArXiv]

Talks

November 2024
Workshop on Koszul duality of box operads at East China Normal University
Shanghai, China
November 2024
Fourth International Conference on Operad Theory and Related Topics [slides]
Tianjin, China
October 2024
Online


April 2023
Montpellier, France
May 2022
HYDRA
Antwerp, Belgium
February 2022
Antwerp, Belgium


Poster sessions

February 2024
Berkeley, US

February 2024
Berkeley, US

May 2023
GAPXXIII at IHP [Pdf]
Paris, France


Research visits


During May and June 2023 I visited Bruno Vallette at Université Paris Sorbonne Nord. During November 2024 I visited Guodong Zhou at East China Normal University.

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

2022 - 2025
2021 - 2022
2019 - 2021

Contact


Lander Hermans
Departement Wiskunde - Faculteit Wetenschappen
Universiteit Antwerpen

Middelheimlaan 1,
2020 Antwerpen
België

lander dot hermans at uantwerpen dot be

my UA webpage