გურამ დონაძე
მათემატიკის მეცნიერებათა დოქტორი (PhD) 2011 წლიდან.
2018 წლიდან — მათემატიკური კიბერნეტიკის განყოფილების უფროსი მეცნიერ თანამშრომელი ვლადიმერ ჭავჭანიძის სახელობის კიბერნეტიკის ინსტიტუტში.
2013–2018 წლებში — ინდოეთის მეცნიერების განათლების და კვლევების ინსტიტუტის მოწვეული მეცნიერი.
განათლება
1989–1994 წწ. — ივანე ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტის მექანიკა მათემატიკის ფაკუთეტი (მათემატიკის მასწავლებლი).
2008–2010 წწ. — სანტიაგო დე ცომპოსტელას უნივერსიტეტის დოქტორანტურა.
დისერტაცია — 2011 წ. მათემატიკის მეცნიერებათა დოქტორი.
დისერტაციის თემა: ალგებრული ობიექტების ციკლური ჰომოლოგია და წარმოებული ფუნქტორები.
პუბლიკაციები
1. Cyclic homologies of smooth algebras containing Z, Proc. A. Razmadze Math. Institute 119, (1999) 13-20
2. (with N. Inassaridze, T. Porter) N-fold Cech derived functors and generalised Hopf type formulas, K-Theory 35, (2005), no. 3-4, 341-373 .
3. (with A. Bak, N. Inassaridze, M. Ladra) Homology of multiplicative Lie rings, J. Pure Appl. Algebra 208, (2007), no. 2, 761-777
4. (with M. Ladra) More on five commutator identities, J. Homotopy Relat. Struct. 2, (2007), no. 1, 45-55
5. (with M. Ladra) Hochschild homology with coefficient in an H-unital ideal, Homology, Homotopy and Applications 11, (2009), no. 2, 1-4
6. (with M. Ladra) On the groups with isomorphic integral group rings, Int. J. Algebra 3 (2009), no. 9-12, 525-529
7. (with N. Inassaridze, M. Ladra) Cyclic homology via derived functor, Homology, Homotopy and Applications 12, (2010), no. 2, 321-334
8. (with M. Ladra) More on the Hochschild and cyclic homologies of crossed modules of algebras, Communications in Algebra 39, (2011), 4447-4460
9. On a Statement Equivalent to the Riemann Hypothesis, Matematicheskie Zametki 91, (2012), no. 3, 347--352
10. (with N. Inassaridze, E. Khmaladze, M. Ladra) Cyclic homologies of crossed modules of algebras}, J. Non-Comm. Geometry 6, (2012), no. 4, 749-771
11. (with M. Ladra) On the nonexistence of a cyclic homology theory with coefficients, Math. Research Letters 19, (2012), no. 4, 837-845
12. (with M. Ladra) Cotriple homology of crossed 2-cubes of Lie algebras, Journal of Algebra and its Applications 12, (2013), no. 6, 1350007-1350027
13. (with M. Ladra) Chevalley-Eilenberg homology of crossed modules of Lie algebras, Homology, Homotopy and Applications 15, (2013), no.2, 185-194
14. (with M. Ladra) Excision Theorems in Hochschild and cyclic homologies, Proceedings of the Royal Society of Edinburgh Section A Mathematics 144A, (2014), 305-317
15. (with V. Thomas) Bazzoni-Glaz conjecture, Journal of Algebra 420, (2014), 141-160
16. The Anderson-Badawi conjecture for commutative algebras over infinite fields, Indian J Pure Appl Math 47, (2016), 691-696
17. (with N. Inassaridze M. Ladra) Non-abelian tensor and exterior product of multiplicative Lie rings, Forum Math. 29 (2017) no. 3, 563–574
18. (with M. Ladra, V. Thomas) On some closure properties of the non-abelian tensor product, Journal of Algebra 472, (2017), 399-413
19. (with A. Antony, V. Prasad, V.Z. Thomas) Second stable homotopy group of the Eilenberg-Maclane space, Math. Z. 287 no. 3-4, (2017) 1327-1342
20. (with X. García-Martínez, E. Khmaladze) A non-abelian exterior product and homology of Leibniz algebras, Rev. Mat. Complut. 31, (2018), no. 1, 217-236
21. (with N. Inassaridze, M. Ladra, A. M. Vieites) Exact sequences in homology of multiplicative Lie rings and a new version of Stallings theorem, J. Pure Appl. Algebra 222 (2018) 1786-1802
22. A proof of the Anderson-Badawi rad(I) ^n < I formula for n-absorbing ideals, Proceedings-Mathematical Sciences, 128, (2018), no. 1, 1-6.
23. (with T. Van Der Linden) A comonadic interpretation of Baues–-Ellis homology of crossed modules, J. Homotopy Relat. Struct. 14, (2019), no. 3, 625–646.
24. (with M. Ladra, P. Páez-Guillán) Schur's theorem and its relation to the closure properties of the non-abelian tensor product, Proceedings of the Royal Society of Edinburgh Section A Mathematics, 150, (2020), no. 2, 993–1002.
25. (with E. Detomi M. Morigi, P. Shumyatsky) On finite-by-nilpotent groups, Glasgow Mathematical Journal, 63 (2021) 54–58.
26. (with X. García-Martínez) Some generalisations of Schur' and Baer's theorem and their connection with homological algebra, Mathematische Nachrichten, 294, (2021), no. 11, 2029–2039.
27. (with R. Bastos, R. Oliveira, N. Rocco) q-tensor and exterior centers, related degrees and capability, Applied Categorical Structures, 31 (2023) no. 2, doi.org/10.1007/s10485-022-09701-0
28. (with T. Van der Linden) Schur- and Baer-type theorems for Lie and Leibniz algebras, Bull. Belg. Math. Soc. Simon Stevin 30 (2023), 386–398
29. (with T. Pirashvili) On low dimensional cohomology of crossed modules, Advanced Studies: Euro-Tbilisi Mathematical Journal 16 (4) (2023), 143–173.
30. (with T. pirashvili) On k-invariants of crossed modules corresponding to dihedral groups, Advanced Studies: Euro-Tbilisi Mathematical Journal 18 (3) (2025), 41-59.