Geodesic

Studies in number theory. Part 10

Preface
Participants
Seminars
p. 7-13
Program of Workshop ``New methods in Hilbert's tenth problem''
p. 16-20
Research Workshop
p. 21-23
Singular del Pezzo surfaces that are equivariant compactifications
p. 26-43
On the modularity of rigid Calabi--Yau threefolds: epilogue
p. 44-49
Representation theorems for r.e. sets and a~conjecture related to Poonen's larges subring of~$\mathbb Q$
p. 50-54
Non-singular points on hypersurfaces over $\mathbb F_q$
p. 55-62
A generalization of the Bombieri--Pila determinant method
p. 63-77
Towards finite-fold Diophantine representations
p. 78-90
The circle method with weights for the representation of integers by quadratic forms
p. 91-110
A survey on B\"uchi's problem: new presentations and open problems
p. 111-140
Curves over every global field violating the local-global principle
p. 141-147
Base change for Hilbert eigenvarieties of unitary groups
p. 148-198
Bounds for the cubic Weyl sum
p. 199-216
On the quantitative subspace theorem
p. 217-240