For certain cubics, we use elliptic (that is, doubly-periodic) functions. When we come to curves of higher orders we need theta functions, which are multiply-periodic.

Theta functions are also "super-symmetric," meaning that if a specific type of mathematical function called a Moebius transformation is applied to the functions, they turn into themselves.

Heegner divisors play an important role in number theory. However, little is known on whether a modular form has Heegner zeros. In this paper, we start to study this question for a family of classical ...

Theta functions are also "super-symmetric," meaning that if a specific type of mathematical function called a Moebius transformation is applied to the functions, they turn into themselves.

Shortly before his death, Ramanujan wrote about his discovery of mock theta functions, functions with interesting analytic properties. Recently, Zweger showed that mock theta functions could be ...

This useful study shows that stimuli of a certain size elicit theta oscillations in V1 neurons both in spikes and local field potentials, and monkeys performing a dot detection task on these stimuli ...

My research interests lie primarily in number theory and combinatorics, in particular the theory of partitions, special functions in the orbit of modular forms (q-series mock theta functions, quantum ...

Ramanujan’s discoveries, including the Ramanujan prime, mock theta functions, and his efficient series for calculating π, continue to influence mathematics.