Personal profile
Biography
Having started lecturing at the University of Portsmouth in 2014, I am now Associate Professor in Mathematics in the School of Mathematics & Physics, where I am also Director for Postgraduate Studies. Before coming to Portsmouth, I obtained my PhD in Mathematics from University College London (2010 - 2014), under the supervision of Professor Rod Halburd.
Research:
My research is currently funded by the EPSRC grant EP/W012251/1: ‘Geometric Aspects of Complex Differential Equations'. This project is about classifying nonlinear differential and difference equations in the complex plane via a geometric approach, using the Okamoto's space of initial conditions. I work on this project with one Senior Research Associate, Dr Marta Dell'Atti.
If you would like to gain more insight into my research you may want to watch the Zoom recording of a talk I gave recently at the CAvid online seminar (organised by UCL).
I recently organised the international workshop on 'Algebraic and Geometric Aspects of Differential and Difference Equations' at the University of Portsmouth (together with M. Dell'Atti).
Links to my publications:
Preprints (arXiv)
ResearchGate profile
Pure portal (Portsmouth)
ORCID
Teaching:
M20739: Mathematical Foundations (Year 1 module, from 2015 -- 2022)
M20725: Partial Differential Equations (Year 3 module - from 2016 -- present)
M20744: Real and Complex Analysis (Year 2 module, from 2017 -- present)
M31448: Topics in Algebra and Geometry (Year 4 module, from 2020 -- )
PhD students:
Kyriakos Kefalas (current)
Emily Bamber (current)
Callum Waite (completed June 2021)
Education/Academic qualification
Ph.D., On the singularity structure of differential equations in the complex domain, University College London
27 Sept 2010 → 11 Dec 2014
Award Date: 11 Dec 2014
Fingerprint
- 1 Similar Profiles
Collaborations and top research areas from the last five years
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Spaces of initial conditions for quartic Hamiltonian systems of Painlevé and quasi-Painlevé type
Kecker, T. & Dell'Atti, M., 14 Jan 2026, In: Nonlinearity. 39, 1, 43 p., 015007.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Geometric approach for the identification of Hamiltonian systems of quasi-Painlevé type
Kecker, T. & Dell'Atti, M., 28 Feb 2025, In: Journal of Physics A: Mathematical and Theoretical. 58, 9, 43 p., 095202.Research output: Contribution to journal › Article › peer-review
Open AccessFile92 Downloads (Pure) -
Non-standard discretizations of a Hamiltonian system related to the fourth Painlevé equation
Filipuk, G. & Kecker, T., 1 Feb 2022, Formal and Analytic Solutions of Differential Equations. Filipuk, G., Lastra, A. & Michalik, S. (eds.). World Scientific, p. 105-124 20 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review
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On singularities of certain non-linear second-order ordinary differential equations
Filipuk, G. & Kecker, T., 1 Feb 2022, In: Results in Mathematics. 77, 1, 20 p., 41.Research output: Contribution to journal › Article › peer-review
Open AccessFile119 Downloads (Pure) -
Regularising transformations for complex differential equations with movable algebraic singularities
Kecker, T. & Filipuk, G., 6 Mar 2022, In: Mathematical Physics, Analysis and Geometry. 25, 1, 43 p., 9.Research output: Contribution to journal › Article › peer-review
Open AccessFile82 Downloads (Pure)
Projects
- 1 Finished
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Geometric Aspects of Complex Differential Equations
Kecker, T. (PI) & Dell'Atti, M. (Team Member)
Engineering and Physical Sciences Research Council
1/09/22 → 31/08/24
Project: Research
Activities
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15th conference on Symmetries and Integrability of Difference Equations
Kecker, T. (Presented paper)
16 Jun 2025 → 20 Jun 2025Activity: Participating in or organising an event types › Participation in conference
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Invited workshop talk at ISIN2025, Northumbria University
Kecker, T. (Speaker)
Jun 2025Activity: Talk or presentation types › Invited talk
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Invited talk at the Geometry and Mathematical Physics seminar at Loughborough University
Kecker, T. (Speaker)
30 Apr 2025Activity: Talk or presentation types › Invited talk
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Qualitative Theory of Dynamical Systems (Journal)
Kecker, T. (Peer reviewer)
Sept 2024Activity: Publication peer-review and editorial work types › Publication peer-review
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Symmetry, Integrability and Geometry: Methods and Applications (Journal)
Kecker, T. (Peer reviewer)
Aug 2024Activity: Publication peer-review and editorial work types › Publication peer-review