Dependency map
Curriculum prerequisite graph from manifests/deps.json. 6425 edges across 1488 shipped and 27 pending units.
Section adjacency
How many prerequisite edges flow from one section to another. Rows are the prereq (from); columns are the dependent (to). Diagonal cells (intra-section) and off-diagonal cells (cross-section) are coloured by edge density.
| Precalculus foundations | Algebra & linear algebra | Analysis | Modern geometry | Algebraic geometry | Symplectic geometry | Riemann surfaces | Representation theory | Numerical analysis & PDE | Classical mechanics | Electromagnetism & special relativity | Statistical mechanics | Quantum mechanics & QFT | General relativity & cosmology | Organic chemistry | Inorganic chemistry | Molecular & cellular biology | Organismal biology | Ecology & evolution | Philosophy | Psychology | unsectioned | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Precalculus foundations | 26 | 3 | 1 | 1 | 1 | 4 | 4 | 74 | ||||||||||||||
| Algebra & linear algebra | 66 | 5 | 19 | 12 | 2 | 8 | 4 | 4 | 4 | 8 | 4 | 23 | 144 | |||||||||
| Analysis | 220 | 29 | 4 | 3 | 1 | 17 | 15 | 3 | 5 | 21 | 3 | 1 | 1 | 4 | 12 | 299 | ||||||
| Modern geometry | 2 | 18 | 603 | 12 | 41 | 5 | 17 | 12 | 1 | 2 | 1 | 19 | 9 | 1 | 270 | |||||||
| Algebraic geometry | 5 | 242 | 1 | 1 | 10 | 106 | ||||||||||||||||
| Symplectic geometry | 8 | 4 | 222 | 1 | 10 | 1 | 4 | 1 | 106 | |||||||||||||
| Riemann surfaces | 3 | 4 | 186 | 1 | 14 | 110 | ||||||||||||||||
| Representation theory | 1 | 6 | 1 | 1 | 104 | 2 | 10 | 1 | 58 | |||||||||||||
| Numerical analysis & PDE | 1 | 2 | 141 | 2 | 9 | 1 | 74 | |||||||||||||||
| Classical mechanics | 2 | 2 | 2 | 14 | 8 | 5 | 3 | 5 | 13 | |||||||||||||
| Electromagnetism & special relativity | 1 | 2 | 7 | 2 | 3 | 2 | ||||||||||||||||
| Statistical mechanics | 10 | 5 | ||||||||||||||||||||
| Quantum mechanics & QFT | 3 | 2 | 3 | 1 | 157 | 2 | 1 | 2 | 106 | |||||||||||||
| General relativity & cosmology | 6 | 52 | 41 | |||||||||||||||||||
| Organic chemistry | 11 | 1 | 1 | 8 | ||||||||||||||||||
| Inorganic chemistry | 1 | 1 | 19 | 28 | ||||||||||||||||||
| Molecular & cellular biology | 9 | 7 | 1 | 8 | ||||||||||||||||||
| Organismal biology | 1 | 15 | 30 | |||||||||||||||||||
| Ecology & evolution | 4 | 2 | ||||||||||||||||||||
| Philosophy | 16 | 38 | ||||||||||||||||||||
| Psychology | 1 | 1 | 1 | 79 | 92 | |||||||||||||||||
| unsectioned | 2 | 9 | 2 | 1 | 15 | 2013 |
Shipped units (1488)
00.01.0100.01.0200.01.0300.01.E100.02.05— function — Wave 4 Strand A unit #1, SHIPPED00.02.0600.03.0100.03.0200.03.E100.04.0100.04.0200.09.0200.10.0200.14.0100.15.0101.01.01— field — Wave 4 Strand A unit #2, SHIPPED01.01.0201.01.03— vector space — Wave 2 Phase 2.1 unit #1, SHIPPED01.01.0401.01.0501.01.0601.01.0701.01.0801.01.0901.01.1001.01.1101.01.1201.01.1301.01.1401.01.15— bilinear form / quadratic form — Wave 2 Phase 2.2 unit #1, SHIPPED01.01.1601.01.1701.01.1801.01.1901.01.E101.02.01— group — Wave 3 Phase 3.2 unit #1, SHIPPED01.02.0901.02.1301.02.1401.02.1501.02.1801.02.3001.02.3101.02.3201.02.3301.02.3501.03.0101.04.0101.05.0101.06.0102.01.01— Topological space — Wave 3 Phase 3.1 unit #3, SHIPPED 2026-04-2802.01.02— continuous map — Wave 3 Phase 3.2 unit #4, SHIPPED02.01.05— Metric space — Wave 3 Phase 3.1 unit #5, SHIPPED 2026-04-2802.01.0602.01.0702.01.0802.01.0902.01.1002.01.E102.02.0102.02.0202.03.0102.03.0202.04.0202.05.0102.05.0302.05.0402.05.0502.05.E102.06.E102.07.0902.07.1002.07.1102.07.1202.07.E102.10.0602.10.0702.10.E102.11.01— Bounded linear operators — Wave 2 Phase 2.3 catch-up unit, SHIPPED 2026-04-2802.11.03— unbounded self-adjoint operators — Wave 2 Phase 2.4 unit #1, SHIPPED02.11.04— Banach spaces — Wave 2 Phase 2.2 unit #3, SHIPPED02.11.05— Compact operators — Wave 2 Phase 2.3 catch-up unit, SHIPPED 2026-04-2802.11.06— normed vector space — Wave 3 Phase 3.2 unit #5, SHIPPED02.11.07— inner product space — Wave 3 Phase 3.2 unit #6, SHIPPED02.11.08— Hilbert space — Wave 2 Phase 2.2 unit #4, SHIPPED02.11.1002.11.1102.12.E102.13.0502.13.0602.13.0702.13.1102.13.E102.14.0102.14.0202.14.0302.14.0402.14.0502.15.0102.15.0202.15.0302.15.0402.15.0502.16.0102.16.0202.16.0302.16.0402.16.0502.17.0102.17.0202.17.0302.17.0402.17.0502.17.0602.17.0702.17.0802.17.0902.18.0102.18.0202.18.0302.18.0402.18.0502.18.0602.19.0102.19.0202.19.0302.19.0402.19.0502.20.0102.20.0202.20.0302.20.0402.20.0502.21.0102.21.0202.21.0302.21.0402.21.0502.21.0603.01.01— tensor product — Wave 4 Strand A unit #3, SHIPPED03.01.02— associative algebra — Wave 4 Strand A unit #4, SHIPPED03.01.03— ideal in an algebra — Wave 4 Strand A unit #5, SHIPPED03.01.04— tensor algebra — Wave 2 Phase 2.5 unit #1, SHIPPED03.01.05— quotient algebra — Wave 2 Phase 2.5 unit #2, SHIPPED03.02.01— Smooth manifold — Wave 3 Phase 3.1 unit #1, SHIPPED 2026-04-2803.02.1603.02.1703.02.1803.02.1903.02.2003.02.2103.02.2203.02.2303.02.2403.02.2503.02.2603.02.2703.02.2803.02.2903.02.3003.02.3103.02.3203.02.3303.02.3403.02.3503.02.3603.02.3703.02.3803.02.3903.02.4003.02.4103.02.4203.02.4303.02.4403.02.4503.03.01— Lie group — Wave 3 Phase 3.1 unit #4, SHIPPED 2026-04-2803.03.02— group action — Wave 3 Phase 3.2 unit #2, SHIPPED03.03.03— orthogonal group — Wave 3 Phase 3.2 unit #3, SHIPPED03.03.0703.03.1003.03.1103.03.1203.03.1303.04.01— Lie algebra — Wave 2 Phase 2.3 catch-up unit, SHIPPED 2026-04-2803.04.02— Differential forms — Wave 3 Phase 3.1 unit #2, SHIPPED 2026-04-2803.04.03— integration on manifolds — Wave 2 Phase 2.4 unit #4, SHIPPED03.04.04— Exterior derivative — Wave 4 Strand B unit #3, SHIPPED 2026-04-2803.04.05— Stokes' theorem — Wave 4 Strand B unit #4, SHIPPED 2026-04-2803.04.06— de Rham cohomology — Wave 2 Phase 2.1 unit #4, SHIPPED03.04.07— Mayer-Vietoris sequence for de Rham cohomology — v0.6 Bott-Tu pilot Agent A, SHIPPED 2026-04-2903.04.08— variational calculus on manifolds — Wave 2 Phase 2.4 unit #5, SHIPPED03.04.09— Compactly-supported / compactly-vertical cohomology + Thom isomorphism via global angular form — v0.6 Bott-Tu pilot Agent A, SHIPPED 2026-04-2903.04.10— Good covers, finite-dimensionality, Mayer-Vietoris induction — v0.6 Bott-Tu pilot Agent A, SHIPPED 2026-04-2903.04.11— Čech-de Rham double complex and the tic-tac-toe principle — v0.6 Bott-Tu pilot Agent A, SHIPPED 2026-04-2903.04.12— Künneth formula via dual proof — v0.6 Bott-Tu pilot Agent B, SHIPPED 2026-04-2903.04.13— Singular cohomology and de Rham theorem (three routes) — v0.6 Bott-Tu pilot Agent B, SHIPPED 2026-04-2903.04.1503.04.1603.04.1703.04.1803.04.1903.04.2003.04.2103.04.2203.04.2303.04.2403.04.2503.04.E1— Mayer-Vietoris + degree-theory exercise pack (Bott-Tu Ch I supplement) — v0.6 Bott-Tu pilot Agent B, SHIPPED 2026-04-2903.04.E203.05.01— principal bundle — Wave 2 Phase 2.1 unit #2, SHIPPED03.05.02— vector bundle — Wave 2 Phase 2.1 unit #3, SHIPPED03.05.03— orthogonal frame bundle — Wave 2 Phase 2.6 unit #1, SHIPPED03.05.04— connection on a vector bundle — Wave 2 Phase 2.2 unit #5, SHIPPED03.05.05— double cover — Wave 2 Phase 2.5 unit #5, SHIPPED03.05.07— principal bundle with connection — Wave 2 Phase 2.2 unit #6, SHIPPED03.05.08— Complex vector bundle — Wave 2 Phase 2.3 catch-up unit, SHIPPED 2026-04-2803.05.09— Curvature of a connection — Wave 2 Phase 2.3 catch-up unit, SHIPPED 2026-04-2803.05.10— Sphere bundle and Hopf index theorem — v0.6 Bott-Tu pilot Agent D, SHIPPED 2026-04-2903.05.2103.05.2203.05.2303.06.03— Stiefel-Whitney classes — Wave 4 Strand B unit #5, SHIPPED 2026-04-2803.06.04— Pontryagin and Chern classes — pilot unit #5, SHIPPED03.06.05— Invariant polynomial on a Lie algebra — Wave 2 Phase 2.3 catch-up unit, SHIPPED 2026-04-2803.06.06— Chern-Weil homomorphism — pilot unit #4, SHIPPED03.06.2103.06.2303.06.2403.06.2603.07.05— Yang-Mills action — pilot unit #8, SHIPPED03.07.0603.07.0803.07.1203.07.1703.07.1803.07.1903.07.2003.07.2103.07.2203.07.2303.07.2403.07.2503.07.2603.07.2703.07.2803.07.2903.07.3003.07.3103.07.3203.07.3303.07.3403.08.01— topological K-theory — Wave 2 Phase 2.5 unit #4, SHIPPED03.08.04— classifying space — Wave 2 Phase 2.5 unit #3, SHIPPED03.08.05— Universal bundle and Borel presentation — v0.6 Bott-Tu pilot Agent E, SHIPPED 2026-04-2903.08.06— stable homotopy — Wave 2 Phase 2.6 unit #2, SHIPPED03.08.07— Bott periodicity — pilot unit #7, SHIPPED03.08.0803.08.0903.08.1303.08.2003.09.02— Clifford algebra — SHIPPED 2026-04-2703.09.03— spin group Spin(n) — Wave 2 Phase 2.2 unit #2, SHIPPED03.09.04— spin structure on an oriented Riemannian manifold — pilot unit #203.09.05— Spinor bundle — Wave 3 unit, SHIPPED 2026-04-28; closes Dirac apex pending_prereqs flag03.09.06— Fredholm operators — pilot unit #3, SHIPPED03.09.07— symbol of a differential operator — Wave 2 Phase 2.4 unit #2, SHIPPED03.09.08— Dirac operator on a spin manifold — pilot unit #6, SHIPPED03.09.09— elliptic operators on a manifold — Wave 2 Phase 2.4 unit #3, SHIPPED03.09.10— Atiyah-Singer index theorem — pilot unit #10, SHIPPED03.09.11— Clifford chessboard classification — v0.6 Lawson-Michelsohn pilot Agent A, SHIPPED 2026-04-2903.09.12— KR-theory and (1,1)-periodicity — v0.6 Lawson-Michelsohn pilot Agent A, SHIPPED 2026-04-2903.09.13— Triality on Spin(8) and exceptional Lie groups — v0.6 Lawson-Michelsohn pilot Agent A, SHIPPED 2026-04-2903.09.14— Generalised Dirac bundle and Bochner-Weitzenböck — v0.6 Lawson-Michelsohn pilot Agent B, SHIPPED 2026-04-2903.09.15— Cl_k-linear Dirac operator and KO-valued index — v0.6 Lawson-Michelsohn pilot Agent B, SHIPPED 2026-04-2903.09.16— Positive scalar curvature obstruction theory — v0.6 Lawson-Michelsohn pilot Agent E, SHIPPED 2026-04-2903.09.17— Witten positive-mass theorem via spinors — v0.6 Lawson-Michelsohn pilot Agent E, SHIPPED 2026-04-2903.09.18— Berger holonomy classification + parallel spinors — v0.6 Lawson-Michelsohn pilot Agent E, SHIPPED 2026-04-2903.09.19— Calibrated geometries (Harvey-Lawson) — v0.6 Lawson-Michelsohn pilot Agent E, SHIPPED 2026-04-2903.09.20— Heat-kernel proof of Atiyah-Singer index theorem — v0.6 Lawson-Michelsohn pilot Agent C, SHIPPED 2026-04-2903.09.21— Family / equivariant / Lefschetz fixed-point index — v0.6 Lawson-Michelsohn pilot Agent C, SHIPPED 2026-04-2903.09.22— Sobolev / pseudodifferential / parametrix analytic foundations — v0.6 Lawson-Michelsohn pilot Agent C, SHIPPED 2026-04-2903.09.2703.09.2803.09.2903.09.E1— Clifford and spin algebra exercise pack (LM Ch I supplement) — v0.6 Lawson-Michelsohn pilot Agent D, SHIPPED 2026-04-2903.09.E2— Chapter IV applications exercise pack — v0.6 Lawson-Michelsohn pilot Agent E, SHIPPED 2026-04-2903.10.02— CFT basics — pilot unit #9, SHIPPED03.10.0303.10.0403.10.0503.11.01— central extension of a Lie algebra — Wave 2 Phase 2.4 unit #6, SHIPPED03.11.02— infinite-dimensional Lie algebra representations — Wave 2 Phase 2.5 unit #6, SHIPPED03.11.03— Virasoro algebra — Wave 2 Phase 2.6 unit #3, SHIPPED03.11.0403.11.0503.12.0003.12.01— Homotopy and homotopy group — Wave 4 Strand B unit #1, SHIPPED 2026-04-2803.12.02— Covering space — Wave 4 Strand B unit #2, SHIPPED 2026-04-2803.12.03— Suspension — Wave 5 unit #1, SHIPPED 2026-04-2803.12.04— Spectrum — Wave 5 unit #2, SHIPPED 2026-04-2803.12.05— Eilenberg-MacLane space — Wave 5 unit #3, SHIPPED 2026-04-2803.12.06— Sullivan minimal models and rational homotopy theory — v0.6 Bott-Tu pilot Agent E, SHIPPED 2026-04-2903.12.07— Whitehead tower and rational Hurewicz — v0.6 Bott-Tu pilot Agent E, SHIPPED 2026-04-2903.12.0803.12.0903.12.1003.12.1103.12.1203.12.1303.12.1403.12.1503.12.1603.12.1703.12.1803.12.1903.12.2003.12.2103.12.2303.12.3403.12.4103.12.4203.12.4303.12.4403.12.4603.12.4703.12.4803.12.5003.12.5103.12.5203.12.5303.12.5403.12.5503.12.5603.12.5703.12.5803.12.5903.12.6003.12.6103.12.E1— Rational-homotopy exercise pack — v0.6 Bott-Tu pilot Agent E, SHIPPED 2026-04-2903.12.E203.12.E303.12.E403.12.E503.13.01— Spectral sequences — exact couples, filtered complexes, double complexes — v0.6 Bott-Tu Pass 4 Agent C, SHIPPED 2026-04-2803.13.02— Leray-Serre spectral sequence and the Gysin sequence — v0.6 Bott-Tu Pass 4 Agent C, SHIPPED 2026-04-2803.13.03— Leray-Hirsch theorem and the splitting principle for vector bundles — v0.6 Bott-Tu Pass 4 Agent C, SHIPPED 2026-04-2803.13.0503.13.0603.13.0703.13.0803.13.E1— Spectral-sequence computation exercise pack (Bott-Tu Ch. III supplement) — v0.6 Bott-Tu Pass 4 Agent C, SHIPPED 2026-04-2803.15.0103.15.0203.15.0303.15.0403.15.0503.15.0603.15.0703.15.0803.15.0903.15.1003.15.1103.15.1203.15.E103.16.0103.16.0203.16.0303.16.0403.16.0503.16.0603.17.0104.01.01— Sheaf — v0.5 Strand A unit #1, SHIPPED 2026-04-2804.01.02— Stalk of a sheaf — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.01.03— Sheafification — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.01.04— Direct and inverse image of sheaves — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.02.01— Scheme — v0.5 Strand A unit #2, SHIPPED 2026-04-2804.02.02— Affine scheme — v0.5 Strand A supporting unit #2, SHIPPED 2026-04-2804.02.03— Projective scheme — v0.5 Strand A supporting unit #3, SHIPPED 2026-04-2804.02.04— Morphism of schemes — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.02.0504.02.0704.03.01— Sheaf cohomology — v0.5 Strand A unit #3, SHIPPED 2026-04-2804.03.02— Local systems and monodromy — v0.6 Bott-Tu pilot Agent B, SHIPPED 2026-04-2904.03.0304.03.0404.03.0504.03.0804.03.1004.03.1104.03.1204.03.1304.03.1404.03.1504.03.1604.03.1704.03.1804.03.1904.03.2004.03.2104.03.2204.03.2304.03.E104.04.01— Riemann-Roch theorem for curves — v0.5 Strand A unit #4, SHIPPED 2026-04-2804.04.0204.04.0304.04.0404.04.1404.04.E104.05.01— Weil divisor — v0.5 Strand A supporting unit #6, SHIPPED 2026-04-2804.05.02— Picard group — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.05.03— Line bundle on a scheme — v0.5 Strand A supporting unit #7, SHIPPED 2026-04-2804.05.04— Cartier divisor — v0.5 Strand A supporting unit #8, SHIPPED 2026-04-2804.05.05— Ample and very ample line bundle — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.05.0604.05.0704.05.0804.05.1004.05.1104.05.1204.05.E104.06.01— Quasi-coherent sheaf — v0.5 Strand A supporting unit #4, SHIPPED 2026-04-2804.06.02— Coherent sheaf — v0.5 Strand A supporting unit #5, SHIPPED 2026-04-2804.07.01— Projective space — v0.5 Strand A supporting unit #1, SHIPPED 2026-04-2804.07.02— Blowup — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.07.0304.07.0404.08.01— Sheaf of differentials — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.08.02— Canonical sheaf — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.08.03— Serre duality — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.09.01— Hodge decomposition — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.09.02— Kodaira vanishing theorem — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.09.0304.10.01— Moduli of curves — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.10.02— Geometric invariant theory — v0.5 Strand A supporting unit, SHIPPED 2026-04-2804.10.0704.10.1104.10.1204.10.1304.10.1404.10.1504.10.1604.10.2004.10.2204.10.2604.10.2904.10.3004.10.3104.10.3204.10.3304.10.3404.10.3504.11.1104.11.1204.11.1304.11.1404.11.1504.11.1604.12.0704.12.0804.12.1004.12.11— Slab function and structure of a tropical manifold — Cycle 12 tropical/mirror-symmetry T1 cluster, Gross-Siebert 2010 JAG 19 originator, SHIPPED 2026-05-2004.12.1204.12.13— Period integral and the mirror map (pointer) — Cycle 13 Gross pointer, Candelas-de la Ossa-Green-Parkes 1991 + Morrison 1993 + Gross 2011 CBMS Lecture 7 anchors, SHIPPED 2026-05-2004.12.1404.12.15— Log Gromov-Witten invariants (pointer) — Cycle 13 Gross pointer, Gross-Siebert 2013 JAMS 26 + Abramovich-Chen 2014 Asian JM 18 originators, SHIPPED 2026-05-2004.12.1604.12.1704.15.0104.16.0104.17.0104.18.0104.19.0105.00.0105.00.0205.00.0305.00.0405.00.0505.00.0605.00.E105.01.01— symplectic vector space — v0.5 Strand B symplectic unit, SHIPPED05.01.02— symplectic manifold — v0.5 Strand B symplectic unit, SHIPPED05.01.03— symplectic group — v0.5 Strand B symplectic unit, SHIPPED05.01.04— darboux's theorem — v0.5 Strand B symplectic unit, SHIPPED05.01.0505.02.01— hamiltonian vector field — v0.5 Strand B symplectic unit, SHIPPED05.02.02— poisson bracket and Poisson manifold — v0.5 Strand B symplectic unit, SHIPPED05.02.03— integrable system — v0.5 Strand B symplectic unit, SHIPPED05.02.04— action-angle coordinates — v0.5 Strand B symplectic unit, SHIPPED05.02.05— cotangent bundle as canonical symplectic manifold — v0.5 Strand B symplectic unit, SHIPPED05.02.0605.02.0705.02.0805.02.0905.02.1205.02.E105.03.01— coadjoint orbit — v0.5 Strand B symplectic unit, SHIPPED05.03.0305.04.01— moment map — v0.5 Strand B symplectic unit, SHIPPED05.04.02— marsden-Weinstein symplectic reduction — v0.5 Strand B symplectic unit, SHIPPED05.04.0305.04.0405.04.0505.04.0605.05.01— lagrangian submanifold — v0.5 Strand B symplectic unit, SHIPPED05.05.0205.05.0305.05.0405.05.0505.05.0605.05.0705.05.0805.05.0905.05.1005.05.1105.06.01— almost-complex structure on a symplectic manifold — v0.5 Strand B symplectic unit, SHIPPED05.06.02— pseudoholomorphic curve — v0.5 Strand B symplectic unit, SHIPPED05.06.0305.07.01— gromov non-squeezing theorem — v0.5 Strand B symplectic unit, SHIPPED05.07.02— symplectic capacity — v0.5 Strand B symplectic unit, SHIPPED05.07.0405.08.01— arnold conjecture and Floer homology setup — v0.5 Strand B symplectic unit, SHIPPED05.08.02— floer homology — v0.5 Strand B symplectic unit, SHIPPED05.08.03— maslov index — v0.5 Strand B symplectic unit, SHIPPED05.08.04— conley-Zehnder index — v0.5 Strand B symplectic unit, SHIPPED05.09.0105.09.0205.09.0305.09.0405.09.0505.09.0605.09.0805.09.0905.09.1005.09.1105.09.1205.09.E105.10.0105.10.0205.10.0305.10.0405.11.0105.11.0305.11.0405.11.0505.11.0905.12.0105.12.0305.12.0405.14.0105.14.0205.14.0305.14.0405.14.0505.14.0605.14.0705.14.0805.15.0105.15.0206.01.01— Holomorphic function — v0.5 Strand C unit #1, SHIPPED 2026-04-2806.01.02— Cauchy integral formula — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.01.03— Residue theorem — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.01.04— Analytic continuation — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.01.05— Meromorphic function — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.01.06— Riemann mapping theorem — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.01.0706.01.0806.01.1006.01.1106.01.1206.01.1306.01.3106.01.E106.01.E206.02.01— Branch point and ramification — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.02.0206.02.0306.03.01— Riemann surface — v0.5 Strand C unit #2, SHIPPED 2026-04-2806.03.02— Genus of a Riemann surface — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.03.03— Uniformization theorem — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.03.0406.03.0506.04.01— Riemann-Roch theorem for compact Riemann surfaces — v0.5 Strand C unit #3, SHIPPED 2026-04-2806.04.0206.04.03— Hodge decomposition on a compact Riemann surface — v0.6 Donaldson Riemann-surfaces P1 batch 13, SHIPPED 2026-05-0706.04.04— Serre duality on a curve — v0.6 Donaldson Riemann-surfaces P1 batch 12, SHIPPED 2026-05-0706.04.0506.04.0706.05.01— Divisor on a Riemann surface — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.05.02— Holomorphic line bundle on a Riemann surface — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.05.03— Riemann-Hurwitz formula — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.06.01— Holomorphic 1-form / abelian differential — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.06.02— Period matrix — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.06.03— Jacobian variety — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.06.04— Abel-Jacobi map — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.06.05— Theta function — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.06.0606.06.0706.06.0806.06.0906.07.01— Holomorphic functions of several variables — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.07.02— Hartogs phenomenon — v0.5 supporting Strand C unit, SHIPPED 2026-04-2806.08.0106.08.0206.08.0306.09.0106.09.0206.09.0306.09.0406.09.0506.10.0106.10.0206.10.0306.10.0406.10.0506.10.0606.10.0706.10.0806.10.0906.10.1006.10.1106.10.1206.10.1306.10.1406.10.1506.10.1606.10.1706.10.1806.10.1906.10.2006.10.2106.10.2206.10.E106.11.0106.11.0206.11.0306.11.0406.11.0506.11.0607.01.01— Group representation — v0.5 Strand D unit #1, SHIPPED 2026-04-2807.01.02— Schur's lemma — v0.5 Strand D unit #2, SHIPPED 2026-04-2807.01.03— Character — v0.5 Strand D supporting unit, SHIPPED 2026-04-2807.01.04— Character orthogonality — v0.5 Strand D supporting unit, SHIPPED 2026-04-2807.01.05— Regular representation — v0.5 Strand D supporting unit, SHIPPED 2026-04-2807.01.06— Tensor product of representations — v0.5 Strand D supporting unit, SHIPPED 2026-04-2807.01.07— Induced representation — v0.5 Strand D supporting unit, SHIPPED 2026-04-2807.01.08— Frobenius reciprocity — v0.5 Strand D supporting unit, SHIPPED 2026-04-2807.01.1307.02.01— Maschke's theorem — v0.5 Strand D supporting unit, SHIPPED 2026-04-2807.02.0207.02.E107.03.01— Highest weight representation — v0.5 Strand D unit #3, SHIPPED 2026-04-2807.04.01— Cartan-Weyl classification — v0.5 Strand D unit #4, SHIPPED 2026-04-2807.04.0507.04.1107.04.1307.05.01— Symmetric group representation — v0.5 Strand D supporting unit, SHIPPED 2026-04-2807.05.02— Young diagram and tableau — v0.5 Strand D supporting unit, SHIPPED 2026-04-2807.05.03— Specht module — v0.5 Strand D supporting unit, SHIPPED 2026-04-2807.05.0607.05.1507.05.1607.05.E107.06.01— Lie algebra representation — v0.5 supporting Strand D unit, SHIPPED 2026-04-2807.06.02— Universal enveloping algebra — v0.5 supporting Strand D unit, SHIPPED 2026-04-2807.06.03— Root system — v0.5 supporting Strand D unit, SHIPPED 2026-04-2807.06.04— Weyl group — v0.5 supporting Strand D unit, SHIPPED 2026-04-2807.06.05— Dynkin diagram — v0.5 supporting Strand D unit, SHIPPED 2026-04-2807.06.06— Verma module — v0.5 supporting Strand D unit, SHIPPED 2026-04-2807.06.07— Weyl character formula — v0.5 supporting Strand D unit, SHIPPED 2026-04-2807.06.08— Weyl dimension formula — v0.5 supporting Strand D unit, SHIPPED 2026-04-2807.06.09— Borel-Weil theorem — v0.5 supporting Strand D unit, SHIPPED 2026-04-2807.06.1307.06.1507.06.2307.06.2407.06.2507.06.2607.06.2707.06.2807.06.2907.06.E207.07.01— Compact Lie group representation — v0.5 supporting Strand D unit, SHIPPED 2026-04-2807.07.02— Peter-Weyl theorem — v0.5 supporting Strand D unit, SHIPPED 2026-04-2807.07.03— Haar measure — v0.5 supporting Strand D unit, SHIPPED 2026-04-2807.07.0507.07.0607.07.0707.07.0807.07.0907.07.1007.08.0108.01.01— partition function (statistical mechanics) — v0.5 Strand E stat-mech unit, SHIPPED08.01.02— ising model — v0.5 Strand E stat-mech unit, SHIPPED08.01.03— boltzmann distribution and canonical ensemble — v0.5 Strand E stat-mech unit, SHIPPED08.01.04— free energy — v0.5 Strand E stat-mech unit, SHIPPED08.02.01— mean-field theory and Curie-Weiss model — v0.5 Strand E stat-mech unit, SHIPPED08.02.02— spontaneous symmetry breaking — v0.5 Strand E stat-mech unit, SHIPPED08.02.03— mermin-Wagner theorem — v0.5 Strand E stat-mech unit, SHIPPED08.03.01— onsager solution of the 2D Ising model (transfer matrix) — v0.5 Strand E stat-mech unit, SHIPPED08.03.02— transfer matrix — v0.5 Strand E stat-mech unit, SHIPPED08.04.01— renormalisation group (real-space block decimation) — v0.5 Strand E stat-mech unit, SHIPPED08.04.02— wilson-Fisher fixed point and universality — v0.5 Strand E stat-mech unit, SHIPPED08.04.03— beta function (renormalisation group) — v0.5 Strand E stat-mech unit, SHIPPED08.04.04— block-spin decimation — v0.5 Strand E stat-mech unit, SHIPPED08.04.0508.05.01— critical exponents and scaling laws — v0.5 Strand E stat-mech unit, SHIPPED08.05.02— correlation functions (statistical mechanics) — v0.5 Strand E stat-mech unit, SHIPPED08.06.01— gaussian field theory and free boson — v0.5 Strand E stat-mech unit, SHIPPED08.06.02— conformal symmetry at criticality — v0.5 Strand E stat-mech unit, SHIPPED08.07.01— path integral formulation of statistical mechanics — v0.5 Strand E stat-mech unit, SHIPPED08.08.01— wilson's lattice gauge theory — v0.5 Strand E stat-mech unit, SHIPPED08.08.02— wilson action — v0.5 Strand E stat-mech unit, SHIPPED08.08.03— effective field theory — v0.5 Strand E stat-mech unit, SHIPPED08.08.0408.09.01— quantum-classical correspondence (Wick rotation) — v0.5 Strand E stat-mech unit, SHIPPED08.10.0108.10.0208.10.0708.10.0808.10.0908.10.1008.10.1108.10.1208.10.1308.10.1408.10.1508.11.0208.11.0308.11.0408.12.0108.12.0208.13.0108.13.0208.13.0308.13.0408.13.0508.13.0708.13.0808.14.0108.14.0208.14.0308.14.0408.14.0508.14.0608.14.0708.14.0808.15.0108.15.0208.15.0309.03.0309.04.0710.07.0611.04.0211.07.0212.02.0312.05.0412.05.0512.05.0612.05.0712.06.0412.07.0312.07.0412.07.0512.08.0212.08.0312.08.0412.09.0212.09.0312.09.0412.09.0512.11.0212.11.0312.11.0412.11.0512.12.0212.12.0312.12.0412.12.0512.12.0612.13.0312.14.0112.14.0212.15.0112.15.0212.16.0112.16.0212.16.0312.16.0412.16.0512.16.0612.18.0112.18.0212.18.0312.18.0412.18.0512.18.0612.18.1312.18.1612.19.0112.19.0212.19.0312.19.0412.19.0512.19.0612.20.0112.20.0212.20.0312.21.0113.01.0213.02.0313.04.0213.04.0313.04.0413.07.0213.08.0213.08.0413.09.0113.09.0213.09.0313.09.0413.09.0513.09.0613.09.0713.09.0813.09.0913.09.1013.09.1113.09.1215.07.0615.15.0115.16.0115.17.0116.01.0416.02.0416.04.0516.05.0416.06.0416.07.0516.07.0616.08.0116.08.0216.08.0316.09.0116.09.0316.10.0116.10.0217.11.0117.11.0217.11.0317.12.0118.02.0518.03.0418.04.0518.06.0418.07.0418.08.0418.09.0418.10.0418.11.0418.12.0118.12.0318.13.0118.13.0218.13.0318.13.0419.06.0420.01.0420.02.0420.03.0420.04.0320.05.0520.06.0420.08.0420.09.0420.11.0120.11.0220.11.0320.12.0120.12.0320.13.0120.13.0220.14.0120.14.0320.15.0120.15.0220.15.0321.02.0121.02.0221.02.0321.02.0421.02.0521.02.0621.02.0721.02.0821.02.0921.03.01— Riemann zeta function ζ(s) — Cycle 13 Manin IMNT number-theory chapter-opener, Riemann 1859 originator-prose, SHIPPED 2026-05-2021.03.0321.03.0421.04.0121.04.0221.04.0321.04.0421.04.0521.05.0121.06.0221.07.0121.07.02— p-adic L-functions and the Iwasawa Main Conjecture — Cycle 14 Manin IMNT Iwasawa-theory chapter, Kubota-Leopoldt 1964 + Mazur-Wiles 1984 originators, SHIPPED 2026-05-2021.09.0121.09.0221.09.0321.10.0121.11.0121.11.0221.11.0321.11.0421.11.0521.12.0121.12.0221.12.0321.12.0421.13.0121.13.0221.13.0321.13.0421.13.0521.14.0121.14.0221.14.0321.14.0421.14.0521.15.0121.15.0221.15.0321.15.0421.15.0521.16.0121.16.0221.17.0121.18.0122.05.0122.06.0122.06.0222.07.0124.01.0024.01.0224.01.0324.01.0424.02.0224.03.0224.03.0324.03.0424.03.0524.03.0624.03.0724.04.0224.04.0324.04.0424.04.0524.04.0624.04.0724.04.E125.01.0125.02.0125.03.0125.04.0126.01.0126.02.0126.03.0127.01.0427.02.0427.03.0427.04.0427.05.0427.07.0527.08.0427.09.0127.10.0127.10.0328.01.0428.02.0528.03.0428.04.0528.05.0428.06.0428.07.0128.07.0228.08.0128.08.0228.09.0128.09.0228.10.0129.01.0229.02.0529.03.0429.04.0529.05.0429.06.0529.07.0129.07.0529.08.0429.09.0529.10.01— Therapy and treatment approaches — psychology therapy-treatment unit, SHIPPED 2026-05-2329.10.0429.11.0429.12.0229.13.0129.13.0329.13.0429.14.0129.15.0129.15.0230.09.0130.10.0132.02.0232.03.0232.04.0232.05.0232.07.0332.08.01— Classical India: Mauryan Empire, Gupta Golden Age, and South Indian Kingdoms — Wave 1 world-history seed, SHIPPED 2026-05-2232.11.0232.12.0232.13.0232.15.0232.15.0332.16.0132.16.0232.20.0332.21.0132.21.0232.22.0232.23.0232.24.0232.25.0233.01.0133.01.0333.02.0133.03.0133.04.0133.05.0133.06.0133.07.0133.08.0134.01.0134.01.0434.02.0134.02.0434.03.0134.03.0334.04.0134.04.0334.05.0134.05.0234.06.0134.06.0334.07.0134.07.0334.08.0134.08.0234.09.0134.09.0334.10.0134.10.0335.01.0135.01.0335.02.0135.02.0535.03.0135.03.0535.04.0135.04.0435.05.0135.05.0435.06.0135.06.0435.06.0535.07.0135.07.0435.08.0135.08.0435.09.0135.09.0435.10.0135.10.0235.10.0337.01.0137.02.0137.02.0237.02.0337.03.0137.03.0237.03.0337.04.0137.04.0237.04.0337.04.0437.05.0137.05.0237.05.0337.05.0437.05.0537.05.0637.05.0737.05.0837.05.0937.05.1037.05.1137.05.1237.06.0137.06.0237.06.0337.07.0137.07.0237.07.0337.07.0437.07.0537.07.0637.07.0737.07.0837.07.0937.07.1037.07.1137.08.0137.08.0237.08.0337.08.0437.08.0537.08.0637.08.0737.08.0837.08.0938.01.0138.01.0238.01.0338.01.0438.01.0538.02.0138.02.0238.02.0338.03.0138.03.0238.03.0338.03.0438.04.0138.04.0238.05.0138.05.0238.06.0138.06.0238.06.0338.06.0438.07.0138.07.0238.07.0338.07.0439.01.0139.01.0239.01.0339.01.0439.02.0139.02.0239.02.0339.03.0139.03.0239.03.0339.03.0439.03.0539.04.0139.04.0239.04.0339.04.0439.05.0139.05.0239.05.0339.05.0439.05.0539.05.0639.05.0739.05.0839.05.0939.05.1039.06.0139.06.0239.06.0339.06.0439.06.0539.06.0639.07.0139.07.0240.01.0140.01.0240.01.0340.01.0440.01.0540.01.0640.01.0740.02.0140.02.0240.02.0340.03.0140.03.0240.03.0340.03.0440.03.0540.03.0640.03.0740.03.0840.04.0140.04.0240.04.0340.04.0440.04.0540.04.0640.04.0740.04.0840.04.0940.04.1040.04.1140.05.0140.05.0240.05.0340.05.0440.06.0140.06.0240.06.0340.06.0440.06.0540.06.0640.06.0740.06.0840.06.0940.06.1040.07.0140.07.0240.07.0340.07.0440.07.0540.07.0640.07.0740.07.0840.07.0940.08.0140.08.0240.08.0340.08.0440.08.0540.08.0640.08.0741.01.0141.01.0241.02.0141.02.0241.02.0341.03.0141.03.0241.03.0341.04.0141.04.0241.04.0341.05.0141.05.0241.06.0141.06.0241.07.0142.01.0142.01.0242.01.0342.01.0442.01.0542.01.0642.01.0742.01.0842.01.0942.01.1042.02.0142.02.0242.02.0342.02.0442.02.0542.02.0642.02.0742.02.0842.02.0942.03.0142.03.0242.03.0342.03.0442.03.0542.03.0642.03.0742.03.0842.03.0942.03.1042.04.0142.04.0242.04.0342.04.0442.04.0542.04.0642.04.0742.04.0842.05.0142.05.0243.01.0143.01.0243.01.0343.02.0143.02.0243.02.0343.03.0143.03.0243.03.0343.03.0843.04.0143.04.0843.05.0843.06.0143.06.0243.06.0343.06.0443.06.1043.06.1143.06.1243.07.0143.07.0243.07.0343.07.0443.07.0543.08.0143.08.0243.08.0343.08.0443.08.0543.09.0143.09.0243.09.0343.10.0143.10.0243.10.0343.10.0443.10.0543.10.0643.11.0143.11.0243.11.0343.11.0443.11.0544.01.0144.01.0244.01.0344.01.0444.01.0544.02.0144.02.0244.02.0344.02.0444.02.0544.03.0144.03.0244.03.0344.03.0444.03.0544.03.0644.03.0744.03.0844.03.0944.03.1044.04.0144.04.0244.04.0344.04.0444.05.0144.05.0244.05.0344.05.0444.06.0144.06.0244.06.0344.06.0444.06.0544.06.0644.06.0744.06.0844.06.0944.07.0144.07.0244.07.0344.07.0444.08.0144.08.0244.08.0344.08.0444.08.0544.08.0645.01.0145.01.0245.01.0345.01.0445.01.0545.01.0645.01.0745.02.0145.02.0245.02.0345.02.0445.02.0545.03.0145.03.0245.03.0345.03.0445.03.0545.04.0145.04.0245.04.0345.04.0445.04.0545.04.0645.04.0745.04.0845.04.0945.04.1045.04.1145.05.0145.05.0245.05.0345.05.0445.05.0545.05.0645.05.0745.05.0845.05.0945.06.0145.06.0245.06.0345.06.0445.06.0545.06.0645.06.0745.06.0845.06.0945.06.1045.07.0145.07.0245.07.0345.07.0445.07.0545.07.0645.07.0745.07.0845.07.0945.08.0145.08.0245.08.0345.08.0445.08.0545.08.0645.08.0745.08.0845.08.0945.08.1045.08.1145.08.1248.01.0148.01.0248.01.0349.01.0149.02.0149.03.0149.04.0150.13.0151.01.0151.02.0151.03.0151.04.0151.05.0151.06.0151.06.0251.07.0151.07.0252.01.0152.01.0252.01.0352.02.0152.03.0152.04.0152.04.0252.05.0152.06.0152.06.02
Pending units (27)
Declared as a prerequisite or successor by a shipped unit but not yet produced.
08.10.1120.02.0120.05.0102.13.0122.03.0122.03.0322.03.0622.03.0822.04.0332.14.0132.15.01— Colonialism and imperialism: colonizer and colonized — Wave 2 world-history, SHIPPED 2026-05-2232.19.0129.09.0129.08.0103.13.0507.05.0603.16.0103.16.0203.16.0403.04.2204.07.0307.06.1324.03.0703.10.0446.08.0347.01.0247.01.05