Section 3: Results by Fields of Research Code

Section 3 provides a summary of ERA 2015 results and activity by aggregated four-digit FoR code. The four-digit codes that sit within each two-digit FoR are listed at the beginning of each discipline in this section.

Comparative information is presented for each discipline at the four-digit level and includes:

• Fields of Research overview with the aggregated four-digit data for each ERA indicator
• the distribution table and chart showing the number of UoEs per rating scale score (including the two- and four-digit ratings for that FoR)
• research outputs submitted by type (chart and table)
• research income by year-all categories ($) (chart and table)
• staffing profile by academic level (chart and table)
• patent profile (where applicable) (table only)
• research commercialisation income by year ($) (chart and table)

Following these summary charts, an overview table for each individual four-digit FoR code is presented as well as doughnut charts showing the distribution of output types and the number of UoEs by rating for that four-digit code.

Notes:

• Where an indicator does not apply to a particular discipline ‘-’ is shown. A ‘0’ represents that the indicator applies to the discipline, but no data was submitted.
• Percentages <1 not shown on doughnut charts for research outputs by type.
• Totals in the doughnut charts may not sum to 100% due to rounding.

01 Mathematical Sciences

Mathematical Sciences is comprised of the following four-digit codes:

• 0101 Pure Mathematics
• 0102 Applied Mathematics
• 0103 Numerical and Computational Mathematics
• 0104 Statistics
• 0105 Mathematical Physics
• 0199 Other Mathematical Sciences

18 out of 26 two-digit UoEs and 48 out of 59 four-digit UoEs assessed were rated above world standard

FoR Overview

Mathematical Sciences (01) accounted for approximately two per cent of the research outputs submitted to ERA 2015. The most common research output type in Mathematical Sciences was journal articles. The staffing profile showed similar staffing levels and spread for Pure Mathematics (0101) and Applied Mathematics (0102) for academic levels B-E. These two four-digit codes showed the highest number of research outputs and research income. Research commercialisation income was particularly strong in Applied Mathematics (0102).

Indicator	No.
Research outputs	10,632.6
Research income	$150,725,932
FTEs	922.6
Esteem count	147.2
Patents	0.2
Research commercialisation income	$162,956

Rating	Distribution
	Two-digit	Four-digit
5	7	23
4	11	25
3	8	11
2	0	0
1	0	0
Total	26	59

Number of UoEs per rating scale score

Research outputs submitted by type

FoR code	Book	Book Chapter	Journal Article	Conference Paper	NTRO	Total
0101 Pure Mathematics	17.7	61.6	2,573.3	78.5	1.0	2,732.0
0102 Applied Mathematics	23.9	146.6	2,782.0	506.3	5.0	3,463.8
0103 Numerical and Computational Mathematics	4.5	52.9	844.8	247.1	0.0	1,149.4
0104 Statistics	16.4	91.6	1,507.5	324.4	3.3	1,943.3
0105 Mathematical Physics	1.8	28.7	670.9	19.0	0.0	720.3
0199 Other Mathematical Sciences	2.0	32.3	467.7	119.8	2.0	623.8
Total	66.3	413.6	8,846.3	1,295.2	11.3	10,632.6

Research income by year – all categories ($)

FoR code	2011 ($)	2012 ($)	2013 ($)	Total ($)
0101 Pure Mathematics	10,879,050	16,063,937	16,021,651	42,964,638
0102 Applied Mathematics	17,232,269	19,421,834	19,838,752	56,492,855
0103 Numerical and Computational Mathematics	1,996,702	1,470,959	1,175,071	4,642,731
0104 Statistics	9,649,913	11,019,106	13,165,920	33,834,938
0105 Mathematical Physics	4,342,354	4,168,538	3,786,661	12,297,553
0199 Other Mathematical Sciences	366,382	53,676	73,158	493,216
Total	44,466,669	52,198,050	54,061,213	150,725,932

Staffing profile by academic level

FoR code	Level E	Level D	Level C	Level B	Level A	Other FTE	Total
0101 Pure Mathematics	39.7	38.2	41.5	66.4	52.9	2.8	241.5
0102 Applied Mathematics	49.3	42.2	51.0	72.9	23.0	7.2	245.7
0103 Numerical and Computational Mathematics	10.0	13.2	24.0	22.8	13.5	3.1	86.5
0104 Statistics	34.8	34.6	44.3	69.6	16.7	7.8	207.8
0105 Mathematical Physics	11.6	8.2	11.9	13.7	8.4	2.9	56.6
0199 Other Mathematical Sciences	6.5	5.5	18.8	35.0	16.1	2.7	84.5
Total	151.8	142.0	191.5	280.3	130.5	26.4	922.6

Patent profile

FoR code	Australia	USA	Europe	Japan	Other International	Triadic	Total
0101 Pure Mathematics	0.0	0.0	0.0	0.0	0.0	0.0	0.0
0102 Applied Mathematics	0.0	0.0	0.0	0.0	0.2	0.0	0.2
0103 Numerical and Computational Mathematics	0.0	0.0	0.0	0.0	0.0	0.0	0.0
0104 Statistics	0.0	0.0	0.0	0.0	0.0	0.0	0.0
0105 Mathematical Physics	0.0	0.0	0.0	0.0	0.0	0.0	0.0
0199 Other Mathematical Sciences	0.0	0.0	0.0	0.0	0.0	0.0	0.0
Total	0.0	0.0	0.0	0.0	0.2	0.0	0.2

Research commercialisation income by year ($)

FoR code	2011 ($)	2012 ($)	2013 ($)	Total ($)
0101 Pure Mathematics	0	0	0	0
0102 Applied Mathematics	61,674	47,025	14,980	123,679
0103 Numerical and Computational Mathematics	0	0	0	0
0104 Statistics	39,278	0	0	39,278
0105 Mathematical Physics	0	0	0	0
0199 Other Mathematical Sciences	0	0	0	0
Total	100,952	47,025	14,980	162,956