Projects per year
Personal profile
Biography
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.
Follow this link for details of current PhD opportunities in Mathematics. But feel free to email me to discuss projects outside these areas and alternative sources of funding.
Career
Research Assistant Professor, University of Illinois at Chicago, 20062007
EPSRC Postdoctoral Fellow, University of Oxford, 20072009
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
Postdocs supervised:
Dr Adam Harris 20142015
Dr Vahagn Aslanyan 20192022
Dr Mark Kamsma 20212022
Dr Francesco Gallinaro 2022
PhD students:
Dr Robert Henderson 20102014
Tim Zander 20132017 (joint supervision with Prof David Evans)
Abeer AlBalahi 20152019
Mark Kamsma 20182021
Anna Dmitrieva 2021
Teaching Interests
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.
Key Responsibilities
 Deputy Director of Teaching in MTH 2022
 LMS Departmental Representative for UEA 2013
 Senior Advisor in MTH 2014 2022
 Disability Liaison Officer for MTH 20142022
 Chairman of MTH/ENG Extenuating Circumstances Panel 20142021
Jonathan has also been the Student Partnership Officer for MTH, and the Director of Equality and Diversity in MTH.
Network
Projects
 6 Finished

The Galois Theory of Exponential Fields
London Mathematical Society (The)
13/06/22 → 22/07/22
Project: Training

Exponentially Algebraically closed fields.
Engineering and Physical Sciences Research Council
1/09/19 → 31/08/22
Project: Research


Model Theory Around the JInvariant.
Engineering and Physical Sciences Research Council
24/02/14 → 23/02/16
Project: Research

MAGIC  MAthematics Access Grid Instruction and Collaboration (Agreement Only  No Funds to UEA)
1/10/11 → 30/09/16
Project: Research

A geometric approach to some systems of exponential equations
Aslanyan, V., Kirby, J. & Mantova, V., 11 Jan 2022, (Epub ahead of print) In: International Mathematics Research Notices.Research output: Contribution to journal › Article › peerreview
Open AccessFile11 Downloads (Pure) 
Blurrings of the jfunction
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 › peerreview
Open AccessFile 
A closure operator respecting the modular jfunction
Aslanyan, V., Eterović, S. & Kirby, J., 1 Jul 2021, (Accepted/In press) In: Israel Journal of Mathematics.Research output: Contribution to journal › Article › peerreview

Differential existential closedness for the jfunction
Aslanyan, V., Eterović, S. & Kirby, J., Apr 2021, In: Proceedings of the American Mathematical Society. 149, 4, p. 14171429 13 p.Research output: Contribution to journal › Article › peerreview
Open AccessFile3 Citations (Scopus)10 Downloads (Pure) 
Existentially closed exponential fields
Haykazyan, L. & Kirby, J., Mar 2021, In: Israel Journal of Mathematics. 241, p. 89–117 29 p.Research output: Contribution to journal › Article › peerreview
Open AccessFile9 Downloads (Pure)