Research outputs per year
Research outputs per year
Personal profile
Biography
Having started at the University of Portsmouth in 2014, I am a Senior Lecturer in Mathematics in the School of Mathematics & Physics. 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 postdoc, Dr Marta Dell'Atti.
I am Director for Postgraduate Studies in the School of Mathematics & Physics.
Current teaching:
M20725: Partial Differential Equations (Year 3 module - autumn term)
M20744: Real and Complex Analysis (Year 2 module - autumn term)
PhD students:
Emily Bamber (current)
Zainab Rahman (current)
Callum Waite (completed June 2021)
Abdulrahman Alsolami (completed January 2021)
Judy Thurlby (completed September 2020)
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
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Collaborations and top research areas from the last five years
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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 AccessFile10 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 AccessFile24 Downloads (Pure) -
On a regularisation of a nonlinear differential equation related to the non-homogeneous Airy equation
Filipuk, G., Kecker, T. & Zullo, F., 31 Dec 2021, Proceedings of the Conference Contemporary Mathematics in Kielce 2020, February 24-27 2021. Walczak, S. (ed.). Sciendo, p. 99-106 8 p.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
Open AccessFile47 Downloads (Pure) -
Space of initial conditions for a cubic Hamiltonian system
Kecker, T., 17 Jan 2018, (Early online) In: Complex Variables and Elliptic Equations. 12 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile94 Downloads (Pure)
Projects
- 1 Active
Activities
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10th International Congress on Industrial and Applied Mathematics
Thomas Kecker (Presented paper)
22 Aug 2023Activity: Participating in or organising an event types › Participation in conference
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Integrable systems and applications
Thomas Kecker (Presented paper)
12 Sept 2022 → 16 Sept 2022Activity: Participating in or organising an event types › Participation in conference
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Symmetry, Integrability and Geometry: Methods and Applications (Journal)
Thomas Kecker (Peer reviewer)
Aug 2022Activity: Publication peer-review and editorial work types › Publication peer-review
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Grant peer-review for EPSRC
Thomas Kecker (Reviewer)
Jun 2022Activity: Grant Peer-Review › Grant Peer-Reviewer (External)
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Applied Mathematics Letters (Journal)
Thomas Kecker (Peer reviewer)
1 Mar 2022Activity: Publication peer-review and editorial work types › Publication peer-review