Notices By Faculty Boards, etc.

1.

Cliques of primes in Noetherian rings

2.

Braid groups

3.

Groups of piecewise linear jomeomorphisms of the real line

4.

The main conjecture of Iwasawa theory for cyclotomic fields

5.

The enigmatic Tate-Shafarevich group

6.

Abelian varieties over finite fields

7.

Wellquasiorders and betterquasiorders

8.

D-modules, Representation Theory, Hodge Theory

9.

Cochains

10.

Geometry of the flag variety, combinatorics of the Weyl group

11.

Blocks with a cyclic defect group

12.

Groups characters and symmetric functions

13.

Modular representation theory of finite groups of lie type in the defining characteristic

14.

Two-descent on the Jacobians of hyperelliptic curves

15.

Parametric families of solutions

16.

Birational geometry in positive characteristic

17.

Stable differential forms

18.

Harmonic forms

19.

The Weinstein conjecture

20.

Arnold’s cord conjecture

21.

Representations of knot groups in SU(2)

22.

Contact structures and symplectic filling

23.

Heegaard Floer homology and knots

24.

Extremal hypergraph theory

25.

Colouring triangle-free graphs

26.

The cone conjecture for Calabi-Yau surfaces

27.

The theory of K3 surfaces

28.

Analysis of a large and complex data set

29.

Random motions in spacetime

30.

Scaling limit of the long-range contact process

31.

Sorting networks and the exclusion process

32.

Entanglement manipulation under finite resources

33.

Random Fouriers series with applications to statistics

34.

Brownian motion and complex analysis

35.

Markov modelling in biology

36.

Shape-constrained density estimation

37.

Functional data analysis

38.

High-dimensional variable selection

39.

Problems in optimal investment

40.

Put–call symmetry

41.

Utility maximization with correlation

42.

Duality between risk models and queues

43.

Regret minimization

44.

Stability of queueing systems

45.

Mixing efficiency in stratified fluids

46.

Natural ventilation

47.

Meanderings rivers

48.

The fluid dynamics of stable long-term CO₂ sequestration

49.

Fluid flow and crystal growth

50.

Global modes in shear flow

51.

Can an internal wave attractor form on a stair case?

52.

How many puffs does it take to make a jet?

53.

Jets and turbulence in atmosphere and ocean

54.

Stretching, bending, folding, and coiling

55.

Wave scattering from rough surfaces

56.

Sampling methods in inverse scattering

57.

Elasto-capillarity

58.

The magnetic buoyancy instability and solar magnetic fields

59.

Dynamo action due to the magneto-rotational instability

60.

Computation of hamiltonian problems

61.

Landau-Kolmogorov inequalities

62.

Statistical mechanics without ignorance

63.

Localization in relativistic quantum theories

64.

Decoherence and the Everett interpretation of quantum theory

65.

Quantum computation on Fermionic chains

66.

How fast can information come out of a black hole?

67.

Jet algorithms

68.

Observational tests of primordial (non-)Gaussianity

69.

Integrability in large-N gauge theory

70.

Affine geometry in mirror symmetry

71.

Spontaneous symmetry breaking and effective field theory

72.

Cosmic superstrings

73.

From topological strings to matrix models

74.

The AdS/CFT correspondence

75.

The first law of black hole mechanics

76.

Critical phenomena in gravitational collapse