Lecturer
- About
-
- 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 online talks I have given recently:
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
- Teaching
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Teaching Responsibilities
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 2 Results 1 to 10 of 19
Comparison of equivariant cohomological dimensions
Israel Journal of MathematicsContributions to Journals: Articles- [ONLINE] https://arxiv.org/abs/2302.08574
- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2302.08574
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
Witt vectors with coefficients and characteristic polynomials over non-commutative rings
Compositio Mathematica , vol. 158, no. 2, pp. 366-408Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1112/S0010437X22007254
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/18877/1/Dotto_etal_CM_Witt_Vectors_With_VoR.pdf
- [ONLINE] View publication in Scopus
- [ONLINE] View publication in Mendeley
The spectrum of derived Mackey functors
Transactions of the American Mathematical Society, vol. 375, pp. 4057-4105Contributions to Journals: ArticlesVecteurs de Witt, lois polynôme, et homologie de Hochschild topologique réelle
Annales Scientifiques de l'École Normale Supérieure, vol. 55, no. 2, pp. 473-535Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.24033/asens.2500
- [ONLINE] View publication in Scopus
Real topological Hochschild homology
Journal of the European Mathematical Society, vol. 23, no. 1, pp. 63-152Contributions to Journals: ArticlesProper Equivariant Stable Homotopy Theory
Memoirs of the American Mathematical SocietyContributions to Journals: ArticlesWitt Vectors, Polynomial Maps, and Real Topological Hochschild Homology
Annales Scientifiques de l'École Normale SupérieureContributions to Journals: ArticlesRigidity and exotic models for v1-local G-equivariant stable homotopy
Mathematische Zeitschrift, vol. 295, pp. 839-875Contributions to Journals: Articles