Research Project Ideas on Algebraic k-theory Math 

Research Project Ideas on Algebraic k-theory Math

1. HOMOLOGICAL STABILITY MINICOURSE LECTURE 1: THE HOMOLOGY OF SYMMETRIC GROUPS
2. On a deformation theory of finite dimensional modules over repetitive algebras
3. Connectedness in Tropical Combinatorics
4. Galois module structure of the units modulo of cyclic extensions of degree
5. Graph Schemes, Graph Series, and Modularity
6. TODAY, I LEARNED…
7. The singularity and cosingularity categories of for groups with cyclic Sylow -subgroups
8. On the Chow groups of Plücker hypersurfaces in Grassmannians
9. Existential rank and essential dimension of diophantine sets
10. ON TRACIAL Z-STABILITY OF SIMPLE NON-UNITAL C-ALGEBRAS
11. Nuclear dimension of crossed products associated to partial dynamical systems
12. A Class of Polynomial Semirings which are not B-Type Stable
13. The Fermi gerbe of Weyl semimetals
14. A Note on Invariant Basis Number and Types for Strongly Graded Rings
15. Complete curves in the moduli space of polarized K3 surfaces and hyper-K\” ahler manifolds
16. On homology of the $ MSU $ spectrum
17. Sheaves of modules on atomic sites and discrete representations of topological groups
18. Frobenii on Morava -theoretical quantum groups
19. Common physical theory for quantum/classical particles in complex vector space
20. Combinatorics of injective words for Temperley-Lieb algebra

21. Springer motives
22. A dichotomy for simple self-similar graph C⁎-algebras
23. Real motivic and ‐equivariant Mahowald invariants
24. Monopole Floer homology and integral twisted cohomology
25. Absolute Mechanics
26. Ramified class field theory and duality over finite fields
27. Algebraic spectral theory and Serre multiplicity formula
28. Geometry and physics: where are we going?
29. On localization for cubical higher Chow groups
30. Hom-pre-Malcev and Hom-M-Dendriform algebras

31. Albanese Kernel of the Product of Curves Over A p-adic Field
32. Hereditary cotorsion pairs and silting subcategories in extriangulated categories
33. Non-simple Purely Infinite Steinberg Algebras with Applications to Kumjian–Pask Algebras
34. On the distribution of prime divisors in Krull monoid algebras
35. 21st Century planar field emission theory and its role in vacuum breakdown science
36. Non-Trivial, Left-Covariant, Continuously Closed Paths over Lines
37. K-theoretic Hall algebras of quivers with potential as Hopf algebras
38. Local-global principles for homogeneous spaces over some two-dimensional geometric global fields
39. Leavitt path algebras of labelled graphs
40. Supergroup Gauge Theory
41. Hodge numbers are not derived invariants in positive characteristic
42. Finiteness properties of automorphism spaces of manifolds with finite fundamental group
43. Renormalised singular stochastic PDEs
44. The Mahler measure of a three-variable family and an application to the Boyd–Lawton formula
45. Nice group structure on the elementary orbit space of unimodular rows
46. On BiHom-associative dialgebras
47. Overgroups of subsystem subgroups in exceptional groups: inside a sandwich
48. Representation Theory of Quivers and Finite Dimensional Algebras
49. ON THE GORENSTEIN COHOMOLOGICAL DIMENSION OF GROUP EXTENSIONS
50. Ambidexterity and height
51. Donaldson–Thomas invariants of threefold flops
52. Completion of skew completable unimodular rows
53. Higher depth mock theta functions and q-hypergeometric series
54. Structure to polynomial factors in orthogonal calculus
55. Switching Spinless and Spinful Topological Phases with Projective Symmetry
56. Lifting properties of formal triangular matrix rings
57. An operadic approach to substitution in Lie-Butcher series
58. Rohlin Actions of Finite Groups on the Razak–Jacelon Algebra
59. Koszul algebras and quadratic duals in Galois cohomology
60. x1. Vvedenie

61. The R -Matrix of the Quantum Toroidal Algebra U q , t ( gl …
62. Generalized Graph Manifolds, Residually Finiteness, and the Singer Conjecture
63. Strongly Gorenstein-projective Quiver Representations
64. Spherical Tropicalization
65. Gabriel–Zisman Cohomology and Spectral Sequences
66. Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras
67. A characteristic map for the holonomy groupoid of a foliation
68. Galois Correspondence and Fourier Analysis on Local Discrete Subfactors
69. On adjoint Bloch–Kato Selmer groups and adjoint -adic -functions for
70. LIE SOLVABLE LEAVITT PATH ALGEBRAS

71. On graded primitive leavitt path algebras
72. Crystallographic interacting topological phases and equivariant cohomology: to assume or not to assume
73. Rota-Baxter operators on cocommutative Hopf algebras
74. Hodge decomposition of string topology
75. Right-angled Artin groups and enhanced Koszul properties
76. Necessary conditions for the existence of Morita Contexts in the bicategory of Landau-Ginzburg Models
77. Index of equivariant Callias-type operators and invariant metrics of positive scalar curvature
78. On finite dimensionality of Chow groups
79. Euler characteristics of Brill-Noether varieties
80. A proof of the Extended Delta Conjecture

81. Genera Of Integer Representations And The Lyndon-Hochschild-Serre Spectral Sequence
82. The Filtered Circle
83. Paschke duality and assembly maps
84. Vertical Vafa–Witten invariants
85. Topological Lattice Defects by Grupoid Methods and Kasparov’s -Theory
86. On Problems in Arithmetic Representation Theory
87. The second stable homotopy groups of motivic spheres
88. On Lie algebroid over algebraic spaces
89. ‘Real’gerbes and Dirac cones of topological insulators
90. PELUANG MENGHILIRKAN MATEMATIKA MELALUI RISET MATEMATIKA: STUDI KASUS MATEMATIKA KOMPUTASI PADA DESAIN MOTIF BATIK FRAKTAL …
91. A teoria algébrica de formas quadráticas aplicada a uma disputa entre dois orixás
92. Quantifier elimination for quasi-real closed fields
93. Topological Modular Forms and Quantum Field Theory

Algebraic k-theory Research Topics

 

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