In accordance with Regulation 18 for the Mathematical Tripos (Statutes and Ordinances, p. 328), the Examiners give notice that a candidate may submit an essay on any one of the following additional topics:
82. Lagrangians of hypergraphs
83. Ergodic theory and Ramsey theory
84. Gyrokinetics
85. Alternating knots
86. The h-cobordism theorem
87. Convergent sequences of graphs
88. Sparse Szemerédi regularity
89. Siegel discs and Herman rings
90. The lifetime of giant molecular clouds
91. Tate's thesis
92. Local class field theory
93. Galois representations, modularity, and Diophantine equations
94. Flow of diffeomorphisms
95. Influenza drift dynamics
96. Compact closed categories and graphical languages
97. Characterization of quantum systems
98. Adaptive learning techniques for the ultra-fast control of quantum dynamics using photonic reagents
99. Comparative analysis of control strategies
100. Shimura varieties
101. Orthonormal bases of compactly supported wavelets
102. The heat equation and the Atiyah-Singer index theorem
103. Operator K-theory
104. The renormalization Hopf algebra
Candidates are reminded that they are required to return their form giving choices of examination papers and essay (if any) to the Faculty Office, Room B1.29, Centre for Mathematical Sciences, Wilberforce Road, by Monday, 7 May 2007. PLEASE NOTE THAT THIS DEADLINE WILL BE STRICTLY ADHERED TO.