Witt vectors with coefficients and TR
2025 - Accepted/In press
Dotto, E., Krause, A., Nikolaus, T., Patchkoria, I.
Proceedings of the London Mathematical Society
Contributions to Journals: Articles
On the cyclic homology of certain universal differential graded algebras
2024 - Accepted/In press
Davis, C., Frank, J., Patchkoria, I.
Homology, Homotopy and Applications
Contributions to Journals: Articles
On the geometric fixed-points of real topological cyclic homology
2024 - Published
Dotto, E., Moi, K. J., Patchkoria, I.
Journal of the London Mathematical Society , vol. 109, no. 2, e12862
Contributions to Journals: Articles
Comparison of equivariant cohomological dimensions
2023 - Accepted/In press
Grant, M., Li, K., Meir Ben Efraim, E., Patchkoria, I.
Israel Journal of Mathematics
Contributions to Journals: Articles
Comparison of equivariant cohomological dimensions
2023 - Published
Grant, M., Li, K., Meir, E., Patchkoria, I.
Working Papers: Preprint Papers
Equivariant dimensions of groups with operators
2022 - Published
Grant, M., Meir, E., Patchkoria, I.
Groups, Geometry and Dynamics , vol. 16, no. 3
Contributions to Journals: Articles
On the de Rham-Witt complex over perfectoid rings
2022 - Published
Davis, C., Patchkoria, I.
International Mathematics Research Notices , vol. 2022, no. 18, pp. 13897-13983
Contributions to Journals: Articles
Witt vectors with coefficients and characteristic polynomials over non-commutative rings
2022 - Published
Dotto, E., Krause, A., Nikolaus, T., Patchkoria, I.
Compositio Mathematica , vol. 158, no. 2, pp. 366-408
Contributions to Journals: Articles
The spectrum of derived Mackey functors
2022 - Published
Patchkoria, I. , Sanders, B., Wimmer, C.
Transactions of the American Mathematical Society , vol. 375, pp. 4057-4105
Contributions to Journals: Articles
Witt Vectors, Polynomial Maps, and Real Topological Hochschild Homology
2022 - Published
Dotto, E., Moi, K. J., Patchkoria, I.
Annales Scientifiques de l'École Normale Supérieure , vol. 55, no. 2, pp. 473-535
Contributions to Journals: Articles
Real topological Hochschild homology
2021 - Published
Dotto, E., Moi, K. J., Patchkoria, I. , Reeh, S. P.
Journal of the European Mathematical Society , vol. 23, no. 1, pp. 63-152
Contributions to Journals: Articles
Proper Equivariant Stable Homotopy Theory
2020 - Accepted/In press
Degrijse, D., Hausmann, M., Lück, W., Patchkoria, I. , Schwede, S.
Memoirs of the American Mathematical Society , vol. 288, no. 1432
Contributions to Journals: Articles
Rigidity and exotic models for v 1G -equivariant stable homotopy
2020 - Published
Patchkoria, I. , Roitzheim, C.
Mathematische Zeitschrift , vol. 295, pp. 839-875
Contributions to Journals: Articles
Equivariant dimensions of groups with operators
2020 - Published
Grant, M., Meir, E., Patchkoria, I.
Working Papers: Working Papers
Comparing cyclotomic structures on different models for topological Hochschild homology
2019 - Published
Dotto, E., Malkiewich, C., Patchkoria, I. , Sagave, S., Woo, C.
Journal of Topology , vol. 12, no. 4, pp. 1146-1173
Contributions to Journals: Articles
On exotic equivalences and a theorem of Franke
2017 - Published
Patchkoria, I.
Bulletin of the London Mathematical Society , vol. 49, no. 6, pp. 1085-1099
Contributions to Journals: Articles
Stable finiteness properties of infinite discrete groups
2017 - Published
Bárcenas, N., Degrijse, D., Patchkoria, I.
Journal of Topology , vol. 10, no. 4, pp. 1169-1196
Contributions to Journals: Articles
The derived category of complex periodic K-theory localized at an odd prime
2017 - Published
Patchkoria, I.
Advances in Mathematics , vol. 309, pp. 392-435
Contributions to Journals: Articles
Rigidity in equivariant stable homotopy theory
2016 - Published
Patchkoria, I.
Algebraic & Geometric Topology , vol. 16, no. 4, pp. 2159-2227
Contributions to Journals: Articles
Topological Hochschild homology and the cyclic bar construction in symmetric spectra
2016 - Published
Patchkoria, I. , Sagave, S.
Proceedings of the American Mathematical Society , vol. 144, pp. 4099-4106
Contributions to Journals: Articles
Cubical approach to derived functors
2012 - Published
Patchkoria, I.
Homology, Homotopy and Applications , vol. 14, no. 1, pp. 133-158
Contributions to Journals: Articles
On the algebraic classification of module spectra
2012 - Published
Patchkoria, I.
Algebraic & Geometric Topology , vol. 12, pp. 2329-2388
Contributions to Journals: Articles
