Dr Irakli Patchkoria
Lecturer
- About
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Department of Mathematics
University of Aberdeen
Fraser Noble Building
Office 161
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
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:
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
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 17
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: ArticlesOn the de Rham-Witt complex over perfectoid rings
International Mathematics Research Notices, rnab092Contributions to Journals: ArticlesReal topological Hochschild homology
Journal of the European Mathematical Society, vol. 23, no. 1, pp. 63-152Contributions to Journals: ArticlesEquivariant dimensions of groups with operators
Groups, Geometry and DynamicsContributions 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: ArticlesEquivariant dimensions of groups with operators
Working Papers: Working PapersComparing cyclotomic structures on different models for topological Hochschild homology
Journal of Topology, vol. 12, no. 4, pp. 1146-1173Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1112/topo.12116
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/12417/1/Dotto_et_al_2019_Journal_of_Topology.pdf
- [ONLINE] View publication in Scopus