Alexis Marchand

Alexis Marchand

IM PAN / Universität Regensburg

amarchand@impan.pl

arXivORCIDzbMATHMathSciNet

About me

I am a mathematician, employed as an Adiunkt (Assistant Professor) at IM PAN, Warsaw, in the NCN Maestro Project Analysis on Groups of Piotr Nowak, and (for the summers of 2026 and 2027) as a Humboldt Fellow at Universität Regensburg, in the group of Clara Löh.

Before that, I was a JSPS postdoctoral fellow at Kyōto University, working with Kōji Fujiwara. I completed my PhD at the University of Cambridge in 2024, under the supervision of Henry Wilton. My research is in geometric group theory, a field concerned with understanding groups — algebraic structures encoding the symmetries of mathematical objects — by studying their actions on geometric spaces. I am generally interested in understanding connections between group-theoretical structure and non-positive curvature. Here is a poster explaining my research on stable commutator length.

Together with Piotr Nowak, Mark Pengitore, and Arturo Espinosa Baro, I am organising the Analytic and geometric group theory seminar at IM PAN. Please feel free to send me an email if you would like to give a talk!

数学者です。 2025年からポーランドの国立数学研究所で特任助教としてPiotr Nowak先生と働いています。 2026、2027年の夏、レーゲンスブルク大学Humboldt FellowとしてClara Löh先生と研究滞在します。 2025年まで、京都大学で一年間研究員として働きました。藤原 耕二先生にお世話になりました。ケンブリッジ大学では、Henry Wilton先生の指導のもと2024年に博士課程を卒業しました。専門分野は幾何学的群論です。ぜひ、日本語で話しかけてください!

Keywords: stable commutator length, bounded cohomology, quasimorphisms, topology of surfaces, hyperbolicity, CAT(0) cube complexes, group rings, free group automorphisms.

CV: in English日本語で

Statement on large language models


Considering
  1. Their resource consumption and environmental impact,
  2. Their current ownership by a handful of profit-driven oligarchs,
  3. Their relying on large amounts of stolen data,
I will not knowingly use any large language model (so-called 'artificial intelligence') in my work and private life.

This includes spellchecking and grammar-checking purposes; hence my writing will occasionally contain language mistakes as it has in the past. My research will retain its human speed rather than producing results faster than the community can verify and understand them. Fixing these does not justify the environmental cost, nor does it justify ignoring any of the other points above.

We are currently facing a climate crisis, and now is not the time to develop and adopt new destructive technology.

I do not consent to the use of any part of my papers and writing for the purpose of training large language models.
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Papers

Research articles (published / accepted in peer-reviewed journals)

Expository articles

Theses and dissertations

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Miscellaneous notes

Notes on topics related to group theory

Lecture notes

During my Bachelor's and Master's studies, I typed lecture notes for the courses I attended. I am making them available here in the hope that they will be useful to others. Please note that they may not reflect the contents of the courses, as I have made some modifications. In particular, all the responsibility for mistakes is mine. Back to top

Talk recordings

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Teaching resources

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