MSC2020 index · openai/math · 7 October 2026

OpenAI preprints by MSC primary classification

The 722 manuscripts in the openai/math repository, grouped by the three-character class of their primary MSC2020 code: 116 classes in 41 of the 63 MSC areas. Each title links to the PDF; the code beside it is the full primary code.

Codes were assigned by Claude from each paper’s title and abstract in the repository’s manuscript map; they are not author-supplied. Hover over a code to see its MSC2020 description.

See also: Preprints by primary or secondary classification

03Mathematical logic and foundations5 preprints

03BGeneral logic1

03CModel theory2

03DComputability and recursion theory1

03ESet theory1

05Combinatorics36 preprints

05BDesigns and configurations3

05CGraph theory26

05DExtremal combinatorics5

05EAlgebraic combinatorics2

06Order, lattices, ordered algebraic structures3 preprints

06EBoolean algebras (Boolean rings)3

08General algebraic systems2 preprints

08AAlgebraic structures2

11Number theory46 preprints

11AElementary number theory2

11BSequences and sets4

11DDiophantine equations1

11FDiscontinuous groups and automorphic forms6

11GArithmetic algebraic geometry (Diophantine geometry)10

11JDiophantine approximation, transcendental number theory3

11LExponential sums and character sums1

11MZeta and L-functions: analytic theory3

11NMultiplicative number theory9

11PAdditive number theory; partitions1

11RAlgebraic number theory: global fields3

11UConnections of number theory and logic2

11YComputational number theory1

12Field theory and polynomials3 preprints

12FField extensions3

13Commutative algebra5 preprints

13CTheory of modules and ideals in commutative rings1

13DHomological methods in commutative ring theory3

13HLocal rings and semilocal rings1

14Algebraic geometry86 preprints

14BLocal theory in algebraic geometry3

14CCycles and subschemes22

14DFamilies, fibrations in algebraic geometry10

14EBirational geometry28

14F(Co)homology theory in algebraic geometry6

14GArithmetic problems in algebraic geometry; Diophantine geometry2

14HCurves in algebraic geometry3

14JSurfaces and higher-dimensional varieties5

14KAbelian varieties and schemes1

14MSpecial varieties1

14NProjective and enumerative algebraic geometry2

14RAffine geometry3

15Linear and multilinear algebra; matrix theory1 preprint

15BSpecial matrices1

16Associative rings and algebras8 preprints

16EHomological methods in associative algebras3

16KDivision rings and semisimple Artin rings1

16SAssociative rings and algebras arising under various constructions4

17Nonassociative rings and algebras1 preprint

17BLie algebras and Lie superalgebras1

18Category theory; homological algebra3 preprints

18MMonoidal categories and operads1

18NHigher categories and homotopical algebra2

19K-theory4 preprints

19AGrothendieck groups and K02

19EK-theory in geometry2

20Group theory and generalizations30 preprints

20CRepresentation theory of groups5

20EStructure and classification of infinite or finite groups1

20FSpecial aspects of infinite or finite groups17

20GLinear algebraic groups and related topics5

20JConnections of group theory with homological algebra and category theory2

28Measure and integration7 preprints

28AClassical measure theory7

30Functions of a complex variable5 preprints

30CGeometric function theory4

30LAnalysis on metric spaces1

32Several complex variables and analytic spaces13 preprints

32EHolomorphic convexity2

32JCompact analytic spaces3

32LHolomorphic fiber spaces1

32MComplex spaces with a group of automorphisms1

32QComplex manifolds3

32SComplex singularities3

34Ordinary differential equations2 preprints

34CQualitative theory for ordinary differential equations2

35Partial differential equations16 preprints

35JElliptic equations and elliptic systems3

35PSpectral theory and eigenvalue problems for partial differential equations4

35QPartial differential equations of mathematical physics and other areas of application4

35RMiscellaneous topics in partial differential equations5

37Dynamical systems and ergodic theory18 preprints

37AErgodic theory10

37BTopological dynamics1

37CSmooth dynamical systems: general theory5

37DDynamical systems with hyperbolic behavior2

42Harmonic analysis on Euclidean spaces17 preprints

42AHarmonic analysis in one variable5

42BHarmonic analysis in several variables12

43Abstract harmonic analysis3 preprints

43AAbstract harmonic analysis3

46Functional analysis54 preprints

46BNormed linear spaces and Banach spaces; Banach lattices21

46ELinear function spaces and their duals2

46LSelfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.)31

47Operator theory5 preprints

47AGeneral theory of linear operators4

47HNonlinear operators and their properties1

49Calculus of variations and optimal control; optimization8 preprints

49QManifolds and measure-geometric topics8

52Convex and discrete geometry25 preprints

52AGeneral convexity8

52CDiscrete geometry17

53Differential geometry42 preprints

53AClassical differential geometry3

53CGlobal differential geometry26

53DSymplectic geometry, contact geometry9

53EGeometric evolution equations4

55Algebraic topology14 preprints

55NHomology and cohomology theories in algebraic topology1

55PHomotopy theory10

55QHomotopy groups3

57Manifolds and cell complexes8 preprints

57KLow-dimensional topology in specific dimensions7

57STopological transformation groups1

58Global analysis, analysis on manifolds3 preprints

58JPartial differential equations on manifolds; differential operators3

60Probability theory and stochastic processes58 preprints

60BProbability theory on algebraic and topological structures5

60CCombinatorial probability2

60DGeometric probability and stochastic geometry4

60EDistribution theory2

60GStochastic processes1

60JMarkov processes20

60KSpecial processes24

65Numerical analysis3 preprints

65CProbabilistic methods, stochastic differential equations1

65TNumerical methods in Fourier analysis2

68Computer science67 preprints

68QTheory of computing49

68WAlgorithms in computer science18

76Fluid mechanics9 preprints

76DIncompressible viscous fluids9

80Classical thermodynamics, heat transfer2 preprints

80AThermodynamics and heat transfer2

81Quantum theory17 preprints

81PFoundations, quantum information and its processing, quantum axioms, and philosophy6

81QGeneral mathematical topics and methods in quantum theory2

81TQuantum field theory; related classical field theories3

81VApplications of quantum theory to specific physical systems6

82Statistical mechanics, structure of matter63 preprints

82BEquilibrium statistical mechanics59

82CTime-dependent statistical mechanics (dynamic and nonequilibrium)4

83Relativity and gravitational theory15 preprints

83CGeneral relativity15

90Operations research, mathematical programming7 preprints

90BOperations research and management science1

90CMathematical programming6

91Game theory, economics, finance, and other social and behavioral sciences5 preprints

91AGame theory5

94Information and communication theory, circuits3 preprints

94ACommunication, information3