Projects per year
See my personal webpage for more information about my research and teaching.
Jonathan’s research is primarily in Model Theory, a branch of Mathematical Logic and its applications to number theory and analytic functions.
Model Theory is an approach to doing mathematics which stems from the idea of formalising, or "mathematising" the language we use when doing mathematics. It has its own collection of techniques which are related to ideas from other areas of mathematics including combinatorics (often infinite, set theoretic combinatorics), geometry, algebra, and topology.
Within Model Theory, Jonathan is particularly interested in extending the techniques to applications slightly outside the usual scope of "classical first order" model theory, such as to positive logic and abstract elementary classes.
He is particularly interested in applications to complex analytic functions, where the exponential function is the prime example.
Jonathan studied Mathematics at Cambridge University, obtaining an MA and also completing a Certificate of Advanced Study. He has an MSc in Mathematical Logic from the University of Manchester, and a DPhil from the University of Oxford. Subsequently he was a Research Assistant Professor at the University of Illinois at Chicago and an EPSRC Postdoctoral Fellow at the University of Oxford, before coming to UEA in 2009.
Research Assistant Professor, University of Illinois at Chicago, 2006-2007
EPSRC Postdoctoral Fellow, University of Oxford, 2007-2009
Lecturer in Pure Mathematics, UEA, 2009 - 2014
Senior Lecturer in Mathematics, UEA, 2014 - 2019
Reader and Associate Professor in Mathematics, UEA, 2019 -
Key Research Interests
Model theory, and applications to algebra and number theory.
Research keywords: Logic, Model theory, exponentiation
Dr Adam Harris 2014-2015
Dr Vahagn Aslanyan 2019-2022
Dr Mark Kamsma 2021-2022
Dr Francesco Gallinaro 2022
Dr Robert Henderson 2010-2014
Tim Zander 2013-2017 (joint supervision with Prof David Evans)
Abeer Al-Balahi 2015-2019
Mark Kamsma 2018-2021
Anna Dmitrieva 2021-
Jonathan has taught a variety of subjects for undergraduates including Model Theory, Mathematical Logic, Real and Complex Analysis, Calculus, Combinatorics, and Computability. He has also taught Category Theory to PhD students via the MAGIC consortium of universities.
- Deputy Director of Teaching in MTH 2022-
- LMS Departmental Representative for UEA 2013-
- Senior Advisor in MTH 2014 -2022
- Disability Liaison Officer for MTH 2014-2022
- Chairman of MTH/ENG Extenuating Circumstances Panel 2014-2021
Jonathan has also been the Student Partnership Officer for MTH, and the Director of Equality and Diversity in MTH.
Dive into details
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- 6 Finished
1/09/19 → 31/08/22
24/02/14 → 23/02/16
1/10/11 → 30/09/16
Aslanyan, V., Kirby, J. & Mantova, V., 11 Jan 2022, (E-pub ahead of print) In: International Mathematics Research Notices.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile11 Downloads (Pure)
Aslanyan, V. & Kirby, J., Jun 2022, In: The Quarterly Journal of Mathematics. 73, 2, p. 461–475 15 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile
Aslanyan, V., Eterović, S. & Kirby, J., 1 Jul 2021, (Accepted/In press) In: Israel Journal of Mathematics.
Research output: Contribution to journal › Article › peer-review
Aslanyan, V., Eterović, S. & Kirby, J., Apr 2021, In: Proceedings of the American Mathematical Society. 149, 4, p. 1417-1429 13 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile3 Citations (Scopus)10 Downloads (Pure)
Haykazyan, L. & Kirby, J., Mar 2021, In: Israel Journal of Mathematics. 241, p. 89–117 29 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile9 Downloads (Pure)