Discrete Mathematics
Research Article
ON THE HARD SPHERE MODEL AND SPHERE PACKINGS IN HIGH DIMENSIONS
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 Published online by Cambridge University Press: 14 January 2019, e1

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Foundations
Research Article
MONOID ACTIONS AND ULTRAFILTER METHODS IN RAMSEY THEORY
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 Published online by Cambridge University Press: 29 January 2019, e2

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Analysis
Research Article
REGULARIZATION OF NONNORMAL MATRICES BY GAUSSIAN NOISE—THE BANDED TOEPLITZ AND TWISTED TOEPLITZ CASES
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 Published online by Cambridge University Press: 13 February 2019, e3

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Number Theory
Research Article
COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$
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 Published online by Cambridge University Press: 06 February 2019, e4

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Algebra
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GLEQUIVARIANT MODULES OVER POLYNOMIAL RINGS IN INFINITELY MANY VARIABLES. II
 Published online by Cambridge University Press: 12 March 2019, e5

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Algebraic and Complex Geometry
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OBSTRUCTIONS TO ALGEBRAIZING TOPOLOGICAL VECTOR BUNDLES
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 Published online by Cambridge University Press: 21 March 2019, e6

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Mathematical Physics
Research Article
DONALDSON–THOMAS INVARIANTS OF LOCAL ELLIPTIC SURFACES VIA THE TOPOLOGICAL VERTEX
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 Published online by Cambridge University Press: 21 March 2019, e7

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Probability
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RANDOM MATRICES WITH SLOW CORRELATION DECAY
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 Published online by Cambridge University Press: 26 March 2019, e8

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Discrete Mathematics
Research Article
FORCING QUASIRANDOMNESS WITH TRIANGLES
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 Published online by Cambridge University Press: 02 April 2019, e9

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Computational Mathematics
Research Article
VARIETIES OF SIGNATURE TENSORS
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 Published online by Cambridge University Press: 04 April 2019, e10

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Algebraic and Complex Geometry
Research Article
$F$SIGNATURE UNDER BIRATIONAL MORPHISMS
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 Published online by Cambridge University Press: 17 April 2019, e11

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Algebra
Research Article
$A_{1}$TYPE SUBGROUPS CONTAINING REGULAR UNIPOTENT ELEMENTS
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 Published online by Cambridge University Press: 24 April 2019, e12

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Mathematical Physics
Research Article
CLUSTER STRUCTURES ON HIGHER TEICHMULLER SPACES FOR CLASSICAL GROUPS
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 Published online by Cambridge University Press: 08 May 2019, e13

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Topology
Research Article
SIMPLY CONNECTED, SPINELESS 4MANIFOLDS
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 Published online by Cambridge University Press: 17 May 2019, e14

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Number Theory
Research Article
GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS
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 Published online by Cambridge University Press: 27 May 2019, e15

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ENLARGED MIXED SHIMURA VARIETIES, BIALGEBRAIC SYSTEM AND SOME AX TYPE TRANSCENDENTAL RESULTS
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 Published online by Cambridge University Press: 27 May 2019, e16

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A PROOF OF ANDREWS’ CONJECTURE ON PARTITIONS WITH NO SHORT SEQUENCES
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 Published online by Cambridge University Press: 30 May 2019, e17

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Algebraic and Complex Geometry
Research Article
A FILTRATION ON EQUIVARIANT BOREL–MOORE HOMOLOGY
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 Published online by Cambridge University Press: 04 July 2019, e18

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Number Theory
Research Article
ENDOSCOPY AND COHOMOLOGY IN A TOWER OF CONGRUENCE MANIFOLDS FOR $U(n,1)$
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 Published online by Cambridge University Press: 15 July 2019, e19

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DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS
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 Published online by Cambridge University Press: 18 July 2019, e20

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