Dr Anna Pachol
Lecturer in Maths
Email: firstname.lastname@example.orgTelephone: +44 (0)20 7882 7310Room Number: Room 6.02, Fogg building
Currently I am Lecturer in Maths at the School of Biological and Chemical Sciences, QMUL and just before joining SBCS I was Postdoctoral Research Assistant within Marie Sklodowska-Curie Individual Fellowship at the School of Mathematical Sciences, QMUL.
Until January 2016 I was a Junior Principal Investigator at the Dipartimento di Matematica “Giuseppe Peano” (Università degli Studi di Torino) in Italy, within the Marie Sklodowska Curie COFUND Fellowship –“2020 Researchers : Train 2 Move”(T2M).
Previously I was a Postdoc at Mathematics Division of Science Institute University of Iceland, where I moved after finishing my PhD studies at the Institute of Theoretical Physics at University of Wroclaw and obtaining PhD degree in mathematical physics in 2011.
Find out more on my personal website.
Science and Engineering Foundation Programme:
- Principles of Mathematics (SEF014)
- Mathematics I (SEF001)
- Mathematics II (SEF002)
A standard technique in physics and engineering is to replace continuous geometric backgrounds by discrete approximations such as a lattice or graph, so that systems become more calculable. In recent years it has become clear that this can be handled by noncommutative geometry, where differentials and functions do not commute. Noncommutative (quantum) geometry turns out to be especially helpful when considered as one of the approaches to Quantum Gravity, the physical regime at which gravitational and quantum interactions are equally strong: this occurs at either very high energies, or at very small distances, and is commonly referred to as the Planck scale. The fundamental assumption is that quantum gravity effects at the Planck scale modify the structure of space-time itself, leading to its noncommutativity. Space-time coordinates are no longer the classical variables, but become elements of a noncommutative ’co-ordinate algebra’ as observables of position and momenta in quantum mechanics. Such modification of space-time has influence on physical solutions, e.g. gravitational and cosmological effects, and it would allow us to model these quantum gravitational corrections in an effective description without full knowledge of quantum gravity itself. Noncommutative geometry, as the generalised notion of geometry, can be used as the quantisation scheme for spaces.
In my research I use the quantum groups and noncommutative geometry framework in application to quantum gravity. My work is focused on quantum space-times and their deformed relativistic symmetries. Currently I am interested in the noncommutative differential geometry and in studying the consequences of noncommutativity on gravitational physics in relation to the quantisation of space-time.
I have an interest in promoting the role of women in sciences. Recently I have been presenting as an invited speaker at the conference “Women Count” organised within the International Women's Week at SMS QMUL.
I am actively looking for opportunities to increase the visibility of female role models in sciences.