Panin Ivan Alexandrovich

Publications in Math-Net.Ru

1. Weak elementary fibrations
   
   Algebra i Analiz, 37:1 (2025),  32–56
2. On Grothendieck–Serre conjecture in mixed characteristic for $\operatorname{SL}_{1,D}$
   
   Izv. RAN. Ser. Mat., 89:2 (2025),  105–113
3. Pfister forms and a conjecture due to Colliot–Thélène in the mixed characteristic case
   
   Izv. RAN. Ser. Mat., 88:5 (2024),  174–186
4. Nice triples in the DVR context
   
   Zap. Nauchn. Sem. POMI, 538 (2024),  129–144
5. Framed motivic $\Gamma$-spaces
   
   Izv. RAN. Ser. Mat., 87:1 (2023),  3–32
6. Surjectivity of the Étale Excision Map for Homotopy Invariant Framed Presheaves
   
   Trudy Mat. Inst. Steklova, 320 (2023),  103–127
7. Triangulated categories of framed bispectra and framed motives
   
   Algebra i Analiz, 34:6 (2022),  135–169
8. On the algebraic cobordism spectra $\mathbf{MSL}$ and $\mathbf{MSp}$
   
   Algebra i Analiz, 34:1 (2022),  144–187
9. An extended form of the Grothendieck–Serre conjecture
   
   Izv. RAN. Ser. Mat., 86:4 (2022),  175–191
10. Quaternionic Grassmannians and Borel classes in algebraic geometry
    
    Algebra i Analiz, 33:1 (2021),  136–193
11. Goldie ranks of primitive ideals and indexes of equivariant Azumaya algebras
    
    Mosc. Math. J., 21:2 (2021),  383–399
12. Proof of the Grothendieck–Serre conjecture on principal bundles over regular local rings containing a field
    
    Izv. RAN. Ser. Mat., 84:4 (2020),  169–186
13. Two purity theorems and the Grothendieck-Serre conjecture concerning principal $\mathbf G$-bundles
    
    Mat. Sb., 211:12 (2020),  123–142
14. A purity theorem for quadratic spaces
    
    Zap. Nauchn. Sem. POMI, 490 (2020),  98–103
15. Nice triples and moving lemmas for motivic spaces
    
    Izv. RAN. Ser. Mat., 83:4 (2019),  158–193
16. On the Relation of Symplectic Algebraic Cobordism to Hermitian $K$-Theory
    
    Trudy Mat. Inst. Steklova, 307 (2019),  180–192
17. A short exact sequence
    
    Zap. Nauchn. Sem. POMI, 485 (2019),  176–186
18. Notes on a Grothendieck–Serre conjecture in mixed characteristic case
    
    Zap. Nauchn. Sem. POMI, 484 (2019),  138–148
19. A short proof of a theorem due to O. Gabber
    
    Zap. Nauchn. Sem. POMI, 479 (2019),  131–136
20. On the motivic commutative ring spectrum $\mathbf{BO}$
    
    Algebra i Analiz, 30:6 (2018),  43–96
21. A moving lemma for motivic spaces
    
    Algebra i Analiz, 29:6 (2017),  178–181
22. On Grothendieck–Serre's conjecture concerning principal $G$-bundles over reductive group schemes: II
    
    Izv. RAN. Ser. Mat., 80:4 (2016),  131–162
23. On the Grothendieck–Serre conjecture concerning principal $G$-bundles over semi-local Dedekind domains
    
    Zap. Nauchn. Sem. POMI, 443 (2016),  133–146
24. Rationally isotropic quadratic spaces are locally isotropic. III
    
    Algebra i Analiz, 27:6 (2015),  234–241
25. A variant of the Levine–Morel moving Lemma
    
    Zap. Nauchn. Sem. POMI, 435 (2015),  163–167
26. Duality theorem for motives
    
    Algebra i Analiz, 21:2 (2009),  205–213
27. A variant of a theorem by Springer
    
    Algebra i Analiz, 19:6 (2007),  117–125
28. The Equicharacteristic Case of the Gersten Conjecture
    
    Trudy Mat. Inst. Steklova, 241 (2003),  169–178
29. On a theorem of Grothendieck
    
    Zap. Nauchn. Sem. POMI, 272 (2000),  286–293
30. Splitting principle and $K$-theory of simply connected semisimple algebraic groups
    
    Algebra i Analiz, 10:1 (1998),  88–131
31. On a conjecture of Grothendieck concerning Azumaya algebras
    
    Algebra i Analiz, 9:4 (1997),  215–223
32. A splitting principle and the algebraic $K$-theory of some homogeneous varieties
    
    Zap. Nauchn. Sem. LOMI, 198 (1991),  49–64
33. Stabilization for orthogonal and symplectic algebraic $K$-theories
    
    Algebra i Analiz, 1:3 (1989),  172–195
34. Algebraic $K$-theory of Grassmann varieties and their convoluted forms
    
    Funktsional. Anal. i Prilozhen., 23:2 (1989),  71–72
35. Comparison of Quillen's and Volodin's $K$-theories
    
    Zap. Nauchn. Sem. LOMI, 175 (1989),  93–105
36. Homological stabilization for the symplectic and orthogonal groups
    
    Zap. Nauchn. Sem. LOMI, 160 (1987),  222–228
37. On a theorem of Hurewicz and $K$-theory of complete discrete valuation rings
    
    Izv. Akad. Nauk SSSR Ser. Mat., 50:4 (1986),  763–775
38. Fields with vanishing $K_2$. Torsion in $H^1(X,K_2)$ and $Ch^2(X)$
    
    Zap. Nauchn. Sem. LOMI, 116 (1982),  108–118
39. Rationality of bundles of conies with a degeneration curve of degree five and even theta-characteristic
    
    Zap. Nauchn. Sem. LOMI, 103 (1980),  100–105


40. Nikolai Aleksandrovich Vavilov
    
    Zap. Nauchn. Sem. POMI, 531 (2024),  7–40
41. Alexey Nikolaevich Parshin (obituary)
    
    Uspekhi Mat. Nauk, 78:3(471) (2023),  165–169
42. Anatoly Vladimirovich Yakovlev
    
    Zap. Nauchn. Sem. POMI, 513 (2022),  5–8
43. 80 anniversary of Professor Anatolii Vladimirovich Yakovlev
    
    Zap. Nauchn. Sem. POMI, 492 (2020),  5–9
44. Vladimir Aleksandrovich Voevodsky (obituary)
    
    Uspekhi Mat. Nauk, 73:3(441) (2018),  157–168
45. To the anniversary of Sergei Vladimirovich Vostokov
    
    Algebra i Analiz, 27:6 (2015),  3–5
46. Valentin Evgen'evich Voskresenskii (obituary)
    
    Uspekhi Mat. Nauk, 69:4(418) (2014),  177–178
47. Anatolii Vladimirovich Yakovlev
    
    Zap. Nauchn. Sem. POMI, 272 (2000),  5–13