Number Theory Down Under 2015

The aim of this focussed conference is to bring together Australian number theorists to share ideas and to discuss current work. This conference will cover far ranging areas of number theory and provide opportunities for both established and emerging Australian researchers to interact with top international experts in number theory. The focus of this conference is to explore the interactions between Diophantine geometry, Diophantine approximation, transcendence theory, and analytical computations.

Invited Speakers

Prof. Manjul Bhargava
Manjul Bhargava is Professor of Mathematics at Princeton University. He graduated from Harvard under the supervision of Andrew Wiles. He has made profound contributions in the study of elliptic curves and the geometry of numbers. His numerous awards include the SASTRA Ramanujan Prize in 2005, the Cole Prize in 2008, and the Fields Medal in 2014.

L/Prof. Jon Borwein
Jon Borwein is renowned for his creative work in almost all fields of mathematics. He has more than 400 international journal articles and more than 15 books. After decades at various university positions in North America, Professor Borwein was awarded an ARC Laureate Fellowship. He established CARMA at the University of Newcastle. In 2010 he was elected Fellow of the Australian Academy of Sciences.

A/Prof. Shaun Cooper
Shaun Cooper obtained his PhD in 1995 under the supervision of the renowned mathematician Richard Askey. He is a leading number theorist from New Zealand, whose work on elliptic modular functions and theta functions overlaps with and reinforces the central themes of the conference.

Dr. Alex Ghitza
Alex Ghitza obtained his PhD from MIT in 2003. He moved to Melbourne in 2008 where he is now a Senior Lecturer. In 2012, he was awarded an ARC Discovery Project, joint with Professor Arun Ram, on Hecke algebras.

Dr. Alan Haynes
Alan Haynes is an expert in analytic number theory, Diophantine approximation, probability theory, dynamical systems, and ergodic theory. He obtained his PhD in 2006 from the University of Texas at Austin under the supervision of Jeffrey Vaaler. He is currently an EPSRC research fellow at the University of York.

Prof. Yasuo Ohno
Yasuo Ohno obtained his PhD in 1998 from the University of Osaka. He has collaborated extensively with Wadim Zudilin. He is one of the leading number theorists in Japan and has been a consistent contributor to many interconnected areas within number theory. His area of expertise lies in modular forms and special values of zeta functions.

A/Prof. Sinai Robins
Sinai Robins is based at NTU in Singapore, and has a visiting fellowship at Brown University. He has varied research interests in mathematics including discrete geometry and its connections with harmonic analysis, analytical number theory, and modular forms. He has recently completed running an intensive programme at ICERM.

Dr. Tim Trudgian
Tim Trudgian obtained his DPhil from the University of Oxford in 2010. After a post-doctoral position in Canada, he returned to the ANU in 2012 as an ARC Discovery Early Career Researcher. His area of expertise is on explicit bounds in number theory and, in particular, on the Riemann zeta-function.

Prof. S. Ole Warnaar
Ole Warnaar is Chair and Professor in Pure Mathematics at the University of Queensland. He is a fellow of the Australian Academy of Science. He obtained his PhD from the University of Amsterdam in 1993. His research interests mainly centre around solvable lattice models, algebraic combinatorics, basic and elliptic hypergeometric series, representation theory, and special functions.