Sander Pieter Zwegers (born April 16, 1975) is a Dutch mathematician who made a connection between Maass forms and Srinivasa Ramanujan's mock theta functions in 2002.[1][2] He was born in Oosterhout. After a period at the Max-Planck Institute in Bonn, he became an assistant professor at the University College Dublin in 2008. Since 2011, he has been is professor of number theory at the University of Cologne.
Research
In 1976, the American mathematician George Andrews found what is nowadays known as the "Lost Notebook" of Ramanujan. It contains many remarkable results, including the mysterious mock theta functions. This notebook contains what many specialists regard as Ramanujan’s deepest work. It was Sander Zwegers who, as a PhD student, had groundbreaking ideas how to fit the mock theta functions into a broader context. His 2002 PhD thesis has led to numerous publications and international conferences.[3]
Zwegers' general area of interest is number theory. More specifically, he studies modular forms and variations thereof, such as Maass forms, mock modular forms, (indefinite) theta functions, and (Maass) Jacobi forms.
Works
- Zwegers, S. P. (2001), "Mock θ-functions and real analytic modular forms" (PDF), q-series with applications to combinatorics, number theory, and physics (Urbana, IL, 2000), Contemp. Math., vol. 291, Providence, R.I.: American Mathematical Society, pp. 269–277, ISBN 978-0-8218-2746-8, MR 1874536
- Zwegers, S. P. (2002), Mock Theta Functions, Utrecht PhD thesis, ISBN 90-393-3155-3
- Zwegers, S. P. (2008), Appell–Lerch sums as mock modular forms (PDF)
References
- ↑ 27] S. P. ZWEGERS – Mock Theta Functions. Thesis, Utrecht, 2002. Republished in 2008.
- ↑ Don Zagier Ramanujan´s Mock Theta Functions and their Applications (d'après Zwegers and Bringmann-Ono), Séminaire Bourbaki, No. 986, 2007
- ↑ Peter Lynch, Timely reminder of a mathematical genius, The Irish Times, Dec 6, 2012.
External links