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  1. ; ; ; ; ; ; (, Bulletin of the London Mathematical Society)
    Abstract On a projective variety defined over a global field, any Brauer–Manin obstruction to the existence of rational points is captured by a finite subgroup of the Brauer group. We show that this subgroup can require arbitrarily many generators. 
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  2. ; ; ; ; (, Algebraic Geometry)
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  3. ; (, Algebra & Number Theory)
    We prove that a smooth complete intersection of two quadrics of dimension at least $$2$$ over a number field has index dividing $$2$$, i.e., that it possesses a rational $$0$$-cycle of degree $$2$$. 
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