After gaining several years’ practical experience to increase their knowledge and skills, research mathematicians can take on greater responsibility for projects. They may manage the work of other mathematicians before eventually becoming project managers or technical directors. It is common to be in a managerial role 10 to 15 years after graduation.
Some mathematicians undertake senior research roles as specialists, while others move into other scientific and commercial functions including sales and marketing.
Companies provide opportunities for promotion and development, although these may involve taking on more commercial roles or the management of technical teams. Career development in international companies may depend on researchers being prepared to take on projects or secondments overseas.
In academic settings, a PhD is usually followed by fixed-term postdoctoral research contracts of up to three years in length. Most newly qualified postdoctoral fellows will take up advertised positions or will apply speculatively to an established scientist with whom they wish to work. Career development at this stage can be challenging, but this is starting to change due partly to an increase in postdoctoral fellowships and other schemes offered by the Engineering and Physical Sciences Research Council (EPSRC) . In addition, funding for postdoctoral fellowships is available from other bodies such as the European Union (EU) and Research Councils UK . All awards are extremely competitive.
Academic promotion depends on research achievements. These are measured by the quality and quantity of original papers published and success in attracting funding. The presentation of material at national and international conferences remains another key career development opportunity. Further career development is into lectureships and ultimately to professorial level with managerial responsibility. Again, this is only possible with success in securing funding for research interests and the development of a group of students and researchers. Permanent research posts without teaching or administrative responsibilities are rare and highly sought after.
There are a number of highly prestigious international mathematical awards which are presented to mathematicians. Some, such the Abel prize, are presented annually. Others, like the Fields medal, are only awarded occasionally. The Fields medal is awarded every four years to a researcher under the age of 40. Some awards will only be given if a researcher is able to prove a particular hypothesis. Most notably, there are seven specific mathematical problems, each of which carries a prize fund of US $1million, which mathematicians can work to prove. See the Clay Mathematics Institute for more details. Achieving any of these awards would be the pinnacle of a mathematician’s career.
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