Transactions of the American Mathematical Society, Vol. 362, No. 2 (FEBRUARY 2010), pp. 897-932 (36 pages) The Kodaira-Thurston manifold M is a compact, 4-dimensional nilmanifold which is symplectic ...

We define theta functions attached to indefinite quadratic forms over real number fields and prove that these theta functions are Hilbert modular forms by regarding them as specializations of ...

A pair of mathematicians has solved a problem that had tantalized number-theory researchers for more than 8 decades. It is the so-called final problem of the legendary Indian mathematical genius ...

Discover how the Humm brain stimulation device uses theta waves to enhance memory and cognitive function through transcranial stimulation. This week I came across a brain stimulation device called ...