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Email: gheorghiu.max@gmail.com
Research Interests
Research Interests
My general research area is group theory. More specifically, I have written a paper on right-angled Artin groups and a PhD thesis on a generalisation of Tate cohomology that has appeared in two preprints. I am applying condensed mathematics to establish Poincaré duality for profinite groups. Further, I am investigating representation growth of finitely generated nilpotent 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.
Positions
Positions
2025–2027
Research assistant at the Heinrich-Heine-Universität Düsseldorf, Germany
2024–2025
Research visitor at the University of the Basque Country, Spain
Education
Education
2019–2024
Doctor of Philosophy in Mathematics, University of British Columbia, Vancouver, Canada
2022
Visiting postgraduate research student at the University of Southampton, UK from August to December
2018–2019
MSc in Mathematical Sciences, University of Oxford, UK
2015–2018
Mathematics BSc, ETH Zurich, Switzerland
Papers
Papers
"Loose ear decompositions and their applications to right-angled Artin groups"
Max Gheorghiu. International Journal of Algebra and Computation, 34(7):1111–1129, 2024.
DOI: 10.1142/S0218196724500449
Preprints
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
To come…
To come…
I am applying condensed mathematics to establish Poincaré duality for profinite groups.
Awards
Awards
2022
Globalink Research Award, financial support for the above mentioned academic stay in Southampton, Mitacs
2022
Financial support for the academic stay in Southampton, Else v. Sick Foundation
2020
British Columbia Graduate Scholarship, excellence scholarship, Province of British Columbia
2018–2019
Financial support for studying abroad from the Swiss Study Foundation
Contributed Conference Talks
Contributed Conference Talks
April 2026
"Loose ear decompositions in right-angled Artin groups"
Ischia Group Theory 2026, Ischia, Italy
December 2025
"On a generalisation of Tate cohomology"
Nikolaus Conference 2025, RWTH Aachen, Germany
September 2025
"On a generalisation of Tate cohomology"
Young Researchers Algebra Conference 2025, Università degli Studi di Firenze, Florence, Italy
June 2025
"On a generalisation of Tate cohomology"
Groups in the Midlands 2025, University of Lincoln, UK
August 2023
"Condensed mathematics and group cohomology"
Early Career Symposium for Topology, Actions and Symmetry, University of Southampton, UK
Seminar Talks
Seminar Talks
November 2025
"Poincaré duality for profinite groups via condensed mathematics"
Tea Seminar of the research group "Geometry, Topology and Group Theory", University of Münster, Germany
December 2024
"Loose ear decompositions in right-angled Artin groups"
Group Theory Seminar, Universitat Politècnica de Catalunya, Spain
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
Posters Presented at Conferences
Posters Presented at Conferences
March 2026
"Poincaré duality for profinite groups via condensed mathematics"
Topological and Homological Methods in Group Theory 2026, Bielefeld University, Germany
July 2025
"Poincaré duality for profinite groups via condensed mathematics"
Regensburg GAP Days 1, University of Regensburg, Germany
June 2024
"Loose ear decompositions and their applications to right-angled Artin groups"
Modern Methods in Infinite Groups, University of Bristol, UK
Service
Service
July 2026
Organiser of the session on geometric group theory for the conference "Regensburg GAP Days 2" at the University of Regensburg, Germany
November 2024–May 2025
Co-organising the Algebra Seminar at the University of the Basque Country, Spain together with Iker de las Heras
Teaching Experience
Teaching Experience
2023
Instructor from January to April
Conducting calculus small classes for first-year physics and engineering undergraduate students
University of British Columbia
2021–2022
Teaching assistant
Conducting calculus workshops for first-year commerce and social science undergraduate students
University of British Columbia
2021
Completion of the course "MATH 599: Mathematics Teaching Techniques" designed to give experience in teaching first-year undergraduate students
University of British Columbia
2019–2021
Teaching assistant
Working in the "Mathematics Learning Centre" to help students on a one-to-one basis (among other duties)
University of British Columbia
Languages
Languages
German (native), English (proficient), French (basic)
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