Lecturer
- About
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- Email Address
- irakli.patchkoria@abdn.ac.uk
- Telephone Number
- +44 (0)1224 272749
- Office Address
Department of Mathematics
University of Aberdeen
Fraser Noble Building
Office 161
- School/Department
- School of Natural and Computing Sciences
Biography
I am a keen tennis player. Here is my British Tennis profile with the recent statistics and results.
- Research
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Current Research
Morava K-theory of classifying spaces, Algebraic models for homotopy theories, Witt vectors, de Rham-Witt complex, computations in TC and THH, (proper) equivariant stable homotopy theory
Here are some talks I have given recently:
Chromatic congruences and Bernoulli numbers
Morava K-theory of infinite groups and Euler characteristic
Classification of module spectra and Franke's algebraicity conjecture
Knowledge Exchange
I am responsible for public outreach of our Department. Here is a popular science talk about my research area Topology organised by Aberdeen Science Centre and Maths Week Scotland:
I am also the organiser of Aberdeen Topology Seminar
Funding and Grants
EPSRC Grant: Classifying spaces, proper actions and stable homotopy theory
- Teaching
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Teaching Responsibilities
Spring term 2024: MX3536 Differential Equations
Winter term 2023: MX3036 Metric and Topological spaces
Spring term 2023: MA1510 Combinatorics, MX3536 Differential Equations
Winter term 2022: MX3036 Metric and Topological spaces
Spring term 2022: MA1510 Combinatorics, MX3536 Differential Equations
Winter term 2021: MX3036 Metric and Topological spaces
Spring term 2021: MA1510 Combinatorics, MX3536 Differential Equations
Winter term 2020: MX3036 Metric and Topological spaces, Exercises for MA2010 Probability
Spring term 2020: MA1510 Combinatorics
Winter term 2019: MX3036 Metric and Topological spaces
Spring term 2019: MA1510 Combinatorics
- Publications
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Page 1 of 3 Results 1 to 10 of 24
Adams spectral sequences and Franke's algebraicity conjecture
American Mathematical SocietyBooks and Reports: BooksWitt vectors with coefficients and TR
Proceedings of the London Mathematical SocietyContributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1112/plms.70047
On the cyclic homology of certain universal differential graded algebras
Homology, Homotopy and ApplicationsContributions to Journals: ArticlesOn the geometric fixed-points of real topological cyclic homology
Journal of the London Mathematical Society, vol. 109, no. 2, e12862Contributions to Journals: ArticlesComparison of equivariant cohomological dimensions
Israel Journal of MathematicsContributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2302.08574
On the cyclic homology of certain universal differential graded algebras
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2308.12369
Proper Equivariant Stable Homotopy Theory
Vol. 288, American Mathematical SocietyBooks and Reports: BooksComparison of equivariant cohomological dimensions
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2302.08574
- [ONLINE] BIMSA- Advances in Homotopy Theory IV Workshop
Equivariant dimensions of groups with operators
Groups, Geometry and Dynamics, vol. 16, no. 3Contributions to Journals: Articles- [ONLINE] https://arxiv.org/pdf/1912.01692.pdf
- [ONLINE] DOI: https://doi.org/10.4171/GGD/686
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/20122/2/Grant_EquivariantDimensionsOfGroupsWithOperators_VOR.pdf
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/20122/1/Grant_GGD_EquivariantDimensionsOf_AAM.pdf
On the de Rham-Witt complex over perfectoid rings
International Mathematics Research Notices, vol. 2022, no. 18, pp. 13897-13983Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1093/imrn/rnab092
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/18297/1/Davis_etal_On_The_Dehram_Witt_AAM.pdf
- [ONLINE] View publication in Scopus