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Research Interests

Research areas and interests of MSRC staff

 

Name Research areas Description of research interests
A, GT Stable and equivairant homotopy theory; higher categories and algebra; tensor-triangular geometry
A, GT Stable and equivariant homotopy theory; model categories; homotopical algebra
AA Banach algebras and Banach lattices; in particular; Banach algebras of operators
DA, S, OR Stochastic modelling; queuing; models; simulation modelling; health care systems; survival analysis; multi-level modelling
S, OR, M Stochastic modelling for decision making; health economics, survival analysis; life expectancy modelling; joint modelling; patient readmission
M, PDEs, S Dynamical systems; qualitative analysis of PDEs; spectral theory; applications to mathematical biology; survival analysis; Bayesian analysis
A, GT Finiteness conditions in algebra and topology; homological algebra; graded structures; algebraic K-theory
DDEs, ODEs, M Dynamical systems; delay equations; differential equations
DA, S, M Decision modelling; survival analysis; Markov modelling; pharmacoeconomics; longitudinal modelling; machine learning
A, AA Operator theory; operator algebras; abstract harmonic analysis and preservers
DA Machine learning and artificial intelligence;  big data analytics; text analytics; search engine
S, OR, DA Survival analysis; Bayesian modelling; data mining; Markov modelling; stochastic models
S, OR Joint modelling; longitudinal data analysis; survival analysis; Bayesian estimation; machine learning; discrete choice analysis
S, OR Joint and mixed modelling; hidden Markov models; longitudinal data; spatial data analysis
OR Operational research; discrete and continuous mathematical modelling; deterministic and stochastic optimisation; machine learning; road traffic modelling; transportation systems analysis; road traffic management and operations; road safety modelling; business intelligence
A, AA Banach spaces; quadratic algebras; locally convex spaces; hypercyclic operators
A, GT Algebraic topology; homotopy theory; differential topology; higher category theory
M, PDEs Mixed systems of parabolic PDEs and other differential equations; degenerate diffusion; chemo-/haptotaxis; multiscale modelling and upscaling; applications to cell motility modelling, particularly in cancer

 

Research areas

Area Abbreviation
Algebra A
Abstract analysis AA
Data analysis DA
Delay differential equations DDEs
Ordinary differential equations ODEs
Partial differential equations PDEs
Geometry and topology GT
Modelling M
Optimization and operational research OR
Statistics S