Chris's Homepage
Find me on MathSciNet,
ResearchGate and Google Scholar.
Research
My research is in analytic and set theoretic topology and
topological dynamics. My particular interests include (in no
particular order): generalised metric spaces and monotonicity;
the construction of counterexamples; topological dynamics; non-metric dynamics;
topologies making given mappings continuous; the structure of
omega-limit sets; symbolic dynamics of tent maps; shadowing.
I collaborate with a number of colleagues and friends around the
world including Birmingham, Oxford, Mexico, New Zealand, Poland and the US.
If you are interested in studying for a postgraduate degree with me,
please e-mail me: c.good@bham.ac.uk (my contact
details are on my
homepage ).
There is a lively postgraduate maths group in Birmingham and we
encourage applications from around the world. For details of
postgraduate courses and how to apply, see the School's Admissions web
pages.
Publications:
If you know some general topology and dynamics you can get a better idea of
the sort of things I am interested in by looking at a list of my publications and preprints. You can find pdfs of most of my papers here.
There are also some other publications listed there such as the web resource Being a Professional Mathematician
that I helped create with Tony Mann from the University of Greenwich. There is also a YouTube video of me talking about what you can do with a maths degree.
Graduate Students, Postdocs and Visitors
Lylah Haynes was awarded her PhD in 2006.
Her thesis was on Monotonizations of countable paracompactness Lylah is now a senior lecturer at Sheffield Hallam.
Tom Parker was awarded his MPhil in 2007.
His thesis was on Sharkovskii's theorem and chaotic dynamical systems.
Andrew Barwell (2007-2010): Andy's thesis, Omega-limit sets of discrete dynamical systems, looked at the topological structure of omega-limit sets. After postdocs at Birmingham and at the Heilbronn Institute in Bristol, Andy now works in the private sector.
Syahida binti Che Dzul-Kifli (March 2008-2012): Syahida's thesis title is Chaotic dynamical systems, she looks at
questions around Devaney's definition of chaos, in particular density of periodic points. Syahida is a lecturer at the National University of
Malaysia
Amna Ahmed (July 2008-2012): Amna's thesis title is Abstract topological dynamics, she looks at
topologies on a countable sets that make a given map continuous and orders on a countable set that make a given map order preserving. Amna is a lecturer at the Al-Mergeb University in Libya.
Kyriakos Papadopoulos (2008-2012): Kyriakos's completed his thesis on Set-theoretic and topological characterizations of ordered spaces, looking at characterizations of ordinal spaces, in 2012. Kyriakos was an assistant prof. in American University of the Middle East, in Kuwait and is now Assistant Professor at Kuwait University.
Mate Puljiz (2013-2017) looked at coarse grainings of complex systems. He is funded by the FP7 FET ICT grant HIERATIC. Mate held a postdoc in the Department of Electronic Systems and Information Processing at the
University of Zagreb. He is now Docent (Assistant Professor) in the Department of Applied Mathematics, University of Zagreb.
Dolores Columba Perez Flores (2013-2017) worked on countable dynamical systems and topologies that make certain maps continuous. Columba was funded by CONACyT.
Joel Mitchell (2016-present) is working on preservation of dynamical properties under inverse limits and factor maps and in the Auslander-Yorke duality.
Ziqin Feng (2012 - 2013) spent a year working with me as an FP7 Marie-Curie International Incoming Fellowship looking at Hilbert's 13th Problem. Ziqin now has a tenure track position at Auburn University.
Leobardo Fernandez Roman (2013-2016) has a postdoctoral fellowship funded by CONACyT. We are looking at the induced dynamics on symmetric products and hyperspaces. Leobardo is now a lecturer at ITAM in Mexico.
Sergio Macias (UNAM) (2014-2015) spent a year here funded by UNAM (and himself). We are working on dynamics and hyperspaces of generalised metric spaces.
Jonathan Meddaugh (2015-2017) has a H2020 Marie Sklodowska-Currie International Incoming Fellowship. We worked on shadowing, omega limits sets and chain transitivity. Jonathan is now assistant professor at Baylor University, Texas.
Rob Leek (2017) was an associate academic in the School working on topological dynamics. He is now a lecture in the School.
Mathematical Links:
If you don't know any topology then the
Topology Atlas is a good
place to find out.
I have close links with the Oxford Analytic Topology
Group.
The Galway Topology Colloquium is an annual meeting for
topologists from Eire, the United Kingdom and elsewhere. It is a
deliberately informal meeting where talks do not have to be new
research and graduates are particularly encouraged to attend and
talk.
