Oihana Garaialde Ocaña
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Postdoctoral Research Fellow
Heinrich Heine Universität Düsseldorf
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Mathematisches Institut
Heinrich Heine Universität
Universitätstr. 1
40225 Düsseldorf
Germany
Office: Building 25.22 Room 03.56
Phone: +49 211 81-15862
Email: garavald[at]uni-duesseldorf.de / oihana.garayalde[at]ehu.es
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About me
After being awarded a fellowship by the Basque Government, I did my Ph.D. at the University of the Basque Country under the supervision of Jon González-Sánchez and Antonio Díaz Ramos. I finished my Ph.D. studies in October, 2016.
In January 2017, I obtained a postdoctoral research fellow from the Basque Government and since then, I have been member of the Algebra and Number Theory
research group to collaborate with
Benjamin Klopsch at the University of Düsseldorf.
In January 2019, I will start working at the University of the Basque Country with the same postdoctoral research fellowship.
I consider myself an algebraic topologist. My current research interests lie in the interplay of group theory and homological algebra. More precisely, I am interested in using cohomological methods and spectral sequences to study algebraic properties of groups.
I am also involved with profinite groups.
Publications & Preprints
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(with J. González-Sánchez) Cohomology of finite p-groups of fixed nilpotency class. Preprint. (arxiv)
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(with A. Díaz Ramos, J. González-Sánchez ) Cohomology of p-groups of nilpotency class smaller than p. Journal of Group Theory (2018).(published version)
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Cohomology of uniserial p-adic space groups with cyclic point group. Journal of Algebra (2018). (published version)
- (with A. Díaz Ramos, J. González-Sánchez) Cohomology of uniserial p-adic space groups.
Trans. of the American Math. Soc. (2017). (published version)
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(with J. González-Sánchez) Transporting cohomology in Lazard Correspondence. Journal of Algebra and its applications (2016). (published version)
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(with A. Díaz Ramos) The cohomology of the sporadic group J2 over F3. Forum Mathematicum (2014). (published version)
Other publications:
- p-nilpotentzia talde finituetan (p-nilpotency in finite groups). Ekaia (scientific magazine) (2013). (published version)
Teaching Experience
Seminars:
Lecture courses:
- Linear Algebra and Geometry I (Mathematics degree)
- Mathematics I (Geology and Engineer Chemistry degrees)
Exercise classes:
- Linear algebra and Geometry II (Mathematics degree)
- Algebraic Equations (Mathematics degree)
- Algebraic structures (Mathematics degree)
Recent talks
- Algebra Seminar, University of the Basque Country, 1 October 2018, Spain.
Hausdorff dimension of finitely generated pro-p groups.
- Algebra Seminar, University of the Basque Country, 20 February 2018, Spain.
Hausdorff dimension of pro-p groups.
- Oberseminar in Algebra, University of Jena, 5 December 2017, Germany.
Cohomology of finite p-groups and coclass.
- Geometry and Topology Seminar, University of Malaga, 9 November 2017, Spain.
Hausdorff dimension of pro-p groups.
- Oberseminar Groups and Geometry, University of Bielefeld, 25 October 2017, Germany.
Counting problem in cohomology algebras of finite groups.
- Miniworkshop: p-groups and coclass theory, University of Braunschweig, 18 September 2017, Germany.
Cohomology of groups and coclass theory.
- 4° congreso de jóvenes investigadores, University of Valencia, 4-8 September 2017, Spain.
Cohomology of finite abelian p-groups via algebraic Morse theory.
- Groups St. Andrews in Birmingham, University of Birmingham, 5-13 August 2017, UK.
Cohomology of finite p-groups and coclass theory.
- Geometric and Asymptotic Group Theory with Applications, University of the Basque Country, 26 June-7 July, 2017, Spain.
Applications of (co)homology of (pro)finite groups in group theory.
- Fusion systems and equivariant algebraic topology, Hausdorff Research Institute for Mathematics, Bonn, 21-24 November 2016, Germany.
Cohomology of the J2 group over F3 using a spectral sequence in fusion systems (invited speaker).
- XI. Encuentro en Teoría de grupos, FME-UPC, Barcelona, 8-10 September 2016, Spain.
Counting problems in cohomology algebras.
- Barcelona Topology workshop, Autonomous University of Barcelona, Barcelona, 27-28 November 2015, Spain.
Realizing the cohomology ring of abelian p-groups and applications (invited speaker).
More mathematical activities
Organization of (past) seminars and conferences:
Maths from a different prespective:
Thanks to a grant from Waves of Energy, to promote mathematics and science within the cultural programme of Donostia-San Sebastian Cultural Capital City of Europe 2016, we form a non-profit association called Matematika-txokoa. This project allowed us to enjoy maths in a different way!