# RESEARCH

CARMA renewed until 2020: read our presentation here

# EVENTS

TODAY

#### CARMA Colloquium

"Calculus of variations and the bending of carbon nanostructures"
A/Prof Duangkamon Baowan

4:00 pm, Wed, 24th Apr 2019
SR202, SR Building

These are the events in the next 7 days. For more, see the events page.

# NEWS

#### UoN mathematics recognised in ERA

Mathematics at UoN has again performed well in the ERA survey, with applied maths and statistics receiving ratings of 5 ("well above world standard"), and pure maths a rating of 4 ("abo... [READ MORE]

#### CARMA dominating Mahony-Neumann-Room Prize for best ANZIAM paper

The 2018 winner of the Mahony—Neumann—Room prize for best paper in the ANZIAM Journal was two papers and one was by F. Aragon Artacho, J. Borwein and M. Tam for one of their 2014 pa... [READ MORE]

#### Promotion success

More promotion success this year, with long-time members Jeff Hogan and Michael Coons being promoted to associate professor. Congratulations!

# HIGHLIGHTS

Selected paper from DocServer
James A. MacDougall, L. G. Sweet

ABSTRACT

An algebra $A$ is {\em homogeneous} if the automorphism group of $A$ acts transitively on the one dimensional subspaces of $A$. Suppose $A$ is a homogeneous algebra over an infinite field $k$. Let $L_a$ denote left multiplication by any nonzero element $a \in A$. Several results are proved concerning the structure of $A$ in terms of $L_a$. In particular, it is shown that $A$ decomposes as the direct sum $A = ker L_a \oplus Im L_a$. These results are then successfully applied to the problem of classifying the infinite homogeneous algebras of small dimension.

# MEMBERSHIP

Membership to CARMA offers many benefits and is available by invitation to all University of Newcastle academic staff. Associate membership, also by invitation, is available to external researchers and practitioners for three-year renewable terms. Associate members are expected to visit CARMA with some frequency, typically for a total of three to four weeks in a year, and to be involved in one or more ongoing research projects with CARMA members. CARMA is able to assist with the travel and living costs of such visits.