gheorghiu

Education
2022: Visiting research student at the University of Southampton, UK from August to December
2019–2024: Doctor of Philosophy in Mathematics, University of British Columbia, Vancouver
2018–2019: MSc in Mathematical Sciences, University of Oxford, UK
2015–2018: Mathematics BSc, ETH Zurich, Switzerland

Research Interests
My general research area is group theory. More specifically, I have written a paper on right-angled Artin groups and a thesis on a generalisation of Tate cohomology that has appeared in the form of two preprints. On the one hand, I am applying condensed mathematics to address a question about cohomology of pro-p groups for which my thesis work is relevant. On the other hand, I am applying it to establish Poincaré duality for profinite groups. The underlying theme of all my projects is the quest of understanding the structure of groups. For this I like to employ homological, geometric or combinatorial methods or to look at the topology of a group.

Papers
"Loose ear decompositions and their applications to right-angled Artin groups"
Max Gheorghiu, To Appear
Posted July 2023, arXiv: http://arxiv.org/abs/2307.08459

Preprints
"On a completion of cohomological functors generalising Tate cohomology I"
Max Gheorghiu, May 2024
arXiv: https://arxiv.org/abs/2405.03610

"On a completion of cohomological functors generalising Tate cohomology II"
Max Gheorghiu, May 2024
arXiv: https://arxiv.org/abs/2405.03634

Contributed presentations
-) August 2023: "Condensed mathematics and group cohomology"
Early Career Symposium for Topology, Actions and Symmetry,
University of Southampton, UK
-) November 2022: "Group cohomology through condensed mathematics"
Pure Mathematics Lunchtime Seminar, University of Southampton, UK
-) November 2022: "Tate cohomology for profinite groups"
Algebra Seminar, University of Lincoln, UK
-) November 2022: "Right-angled Artin groups and graph subdivisions"
Pure Postgraduate Research Student Seminar, University of Southampton, UK