Mathematics
Te Tari Pāngarau me te Tatauranga
Department of Mathematics & Statistics

Upcoming seminars in Mathematics

Research seminars
Seminars in Statistics
Gravitational collapse, cosmic censorship and the Penrose inequality: A geometrical perspective

Jörg Frauendiener

Department of Mathematics and Statistics

Date: Tuesday 26 September 2017
Time: 2:00 p.m.
Place: Room 241, 2nd floor, Science III building

In 1965 Penrose proved the first singularity theorem for gravitational fields which states that under rather general conditions too much gravitational matter and energy confined into a small volume will contract and ultimately collapse to a singularity. He formulated the cosmic censorship hypothesis according to which such singularities have no influence on the surrounding world, they are hidden behind a horizon. Assuming the validity of his hypothesis he was later able to derive an inequality relating the area of the horizon with the total mass contained in space. If there were situations in which the Penrose inequality was violated then it would show that there is no cosmic censorship. Until today, no violations were found, but it has also not been possible to give an independent proof of the Penrose inequality in full generality.
In this talk the origin of the Penrose inequality and some attempts and special cases of its proof will be discussed in more detail.
170619154610
Can't you just feel the Moonshine?

Ken Ono

Emory University; 2017 NZMS/AMS Maclaurin Lecturer

Date: Thursday 5 October 2017
Time: 11:00 a.m.
Place: Room 241, 2nd floor, Science III building

Borcherds won the Fields medal in 1998 for his proof of the Monstrous Moonshine Conjecture. Loosely speaking, the conjecture asserts that the representation theory of the Monster, the largest sporadic finite simple group, is dictated by the Fourier expansions of a distinguished set of modular functions. This conjecture arose from astonishing coincidences noticed by finite group theorists and arithmetic geometers in the 1970s. Recently, mathematical physicists have revisited moonshine, and they discovered evidence of undiscovered moonshine which some believe will have applications to string theory and 3d quantum gravity. The speaker and his collaborators have been developing the mathematical facets of this theory, and have proved the conjectures which have been formulated. These results include a proof of the Umbral Moonshine Conjecture, and Moonshine for the first sporadic finite simple group which does not occur as a subgroup or subquotient of the Monster. The most recent Moonshine (announced here) yields unexpected applications to the arithmetic elliptic curves thanks to theorems related to the Birch and Swinnerton-Dyer Conjecture and the Main Conjectures of Iwasawa theory for modular forms.
This is joint work with John Duncan, Michael Griffin and Michael Martens.
170705090104
Gems of Ramanujan and their lasting impact on mathematics

Ken Ono

Emory University; 2017 NZMS/AMS Maclaurin Lecturer

Date: Thursday 5 October 2017
Time: 5:30 p.m.
Place: Archway 2

Note venue of this public lecture
Ramanujan's work has has a truly transformative effect on modern mathematics, and continues to do so as we understand further lines from his letters and notebooks. In this lecture, some of the studies of Ramanujan that are most accessible to the general public will be presented and how Ramanujan's findings fundamentally changed modern mathematics, and also influenced the lecturer's work, will be discussed. The speaker is an Associate Producer of the film The Man Who Knew Infinity (starring Dev Patel and Jeremy Irons) about Ramanujan. He will share several clips from the film in the lecture.

Biography: Ken Ono is the Asa Griggs Candler Professor of Mathematics at Emory University. He is considered to be an expert in the theory of integer partitions and modular forms. He has been invited to speak to audiences all over North America, Asia and Europe. His contributions include several monographs and over 150 research and popular articles in number theory, combinatorics and algebra. He received his Ph.D. from UCLA and has received many awards for his research in number theory, including a Guggenheim Fellowship, a Packard Fellowship and a Sloan Fellowship. He was awarded a Presidential Early Career Award for Science and Engineering (PECASE) by Bill Clinton in 2000 and he was named the National Science Foundation’s Distinguished Teaching Scholar in 2005. In addition to being a thesis advisor and postdoctoral mentor, he has also mentored dozens of undergraduates and high school students. He serves as Editor-in-Chief for several journals and is an editor of The Ramanujan Journal. He is also a member of the US National Committee for Mathematics at the National Academy of Science.
170814094354

Gemma Mason

University of Auckland

Date: Tuesday 10 October 2017
Time: 2:00 p.m.
Place: Room 241, 2nd floor, Science III building

Title and abstract to follow
170815095609
The changing face of undergraduate mathematics education: a US perspective

Rachel Weir

Allegheny College, Pennsylvania

Date: Monday 16 October 2017
Time: 2:00 p.m.
Place: Room 241, 2nd floor, Science III building

Note day and time of this seminar
A common theme in the United States in recent years has been a call to increase the number of graduates in STEM (science, technology, engineering, and mathematics) fields and to enhance the scientific literacy of students in other disciplines. For example, in the 2012 report Engage to Excel, the Obama administration announced a goal of "producing, over the next decade, 1 million more college graduates in STEM fields than expected under current assumptions." Achieving these types of goals will require us to harness the potential of all students, forcing us to identify and acknowledge the barriers encountered by students from traditionally underrepresented groups. Over the past few years, I have been working to understand these barriers to success, particularly in mathematics. In this talk, I will share what I have learned so far and how it has influenced my teaching.
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Boriz Daszuta

Department of Mathematics and Statistics

Date: Tuesday 17 October 2017
Time: 2:00 p.m.
Place: Room 241, 2nd floor, Science III building

Title and abstract to follow
170705085535

Matthew Parry

Department of Mathematics and Statistics

Date: Tuesday 24 October 2017
Time: 2:00 p.m.
Place: Room 241, 2nd floor, Science III building

Title and abstract to follow
170619154758

Tom ter Elst

University of Auckland

Date: Tuesday 31 October 2017
Time: 2:00 p.m.
Place: Room 241, 2nd floor, Science III building

Title and abstract to follow
170802152237

Vee Liem Saw

Department of Mathematics and Statistics

Date: Tuesday 7 November 2017
Time: 2:00 p.m.
Place: Room 241, 2nd floor, Science III building

Title and abstract to follow
170922151007