eine Woche, ein Beispiel
This is a simple program for learning mathematics by focusing on the concrete examples. I try to understand math in my own perspective, and I benefit a lot from collecting my thoughts. By doing so, I can keep going and focus on the real difficulty. (Last update: March 8th, 2026)
For a complete and updated list of this program, see my Github page.
- Big pictures and settings
- Langlands program
- Langlands
- Field
- Group
- Representations
- Geometrical representations: Flag variety, MF and EC
- Classical algebraic geometry object
- Topology
- Basic algebra
- Miscellaneous
- Fancy languages
- arithmetic AG objects
- Just for fun
- Wait for classification
- domains_in_Cn
- dual_spaces_of_inf_dim_vs
- basics_of_fields
- more_combinatorics_in_AR-quiver
- (co)homology_of_simplicial_set
- compactifications_of_N
- Steenrod_algebra
- trace_theorem_and_Sovolev_embedding
- Kottwitz_set
- diagonalizable_group
- alg_de_Rham_cohomology
- basic_sheaf_calculation
- calculation_of_Perv_CP1
- cheating_sheet_for_six_functors
- calculation_of_double_point
- calculation_of_NMD
- calculation_of_Perv_CP1 ------------2024-----------
- reminder_on_Morse_theory
- complex_multilinear_algebra
- conormal_bundle
- special_complex_manifolds
- Beilinson_gluing
- Weierstrass_point
- roof_structure_for_moduli_of_pairs
- from_curve_to_abelian_variety
- starting_functions
- special_irr_rep_of_simple_Lie_alg
- Chow_group_notation
- grading_rules
- Schur_functor_basic_formulas
- Schur_functor_for_Hodge_module
- normalization_of_a_plane_curve
- 5_indec_reps
- weights_of_type_E
- weights_outside_type_E
- Young_diagram_with_vectors ------------2025-----------
- monodromy_of_the_Gauss_map
- structure_theorems_of_f.p._modules
- Numerical_Chern_class
- lines_passing_a_point
- Schubert_calculus_coh_of_Grassmannian
- lines_on_cubics
- semi-orthogonal_dec_outside_Kuznetsov_component
- Schubert_calculus_subvariety_with_vb
- Schubert_calculus_Chern_class_over_Grassmannian
- special_loci_of_A_g
- curve_in_P^r
- lattices_defining_abelian_variety
- hyperelliptic_curves_in_abelian_varieties
- homomorphism_between_Jacobians
- line_bundles_on_abelian_varieties
- genus_of_generalized_Fermat_curve
- theta_functions
- cyclic_coverings
- Betti_diagram
- tangent_space_of_Hilbert_scheme_of_points
- cotangent_bundle_and_ideal_sheaf
- stability_manifold_of_P^1
- wall_examples
- toric_variety
- tropical_hypersurface
- coh_of_Ag_and_Mg
- Coble_cubic
- rationality_in_AG
- Kuranishi_deformation
- Hodge_structure
- binary_quadratic_form
- Langlands program