Professor Karl Schmidt

Biography

Qualifications

• 1990 Dipl. phys. (Ludwig-Maximilians-Universität München)
• 1992 Dr. rer. nat. (Ludwig-Maximilians-Universität München)
• 1999 Habilitation (Ludwig-Maximilians-Universität München)

Previous academic positions

• 1992-1993 Research fellow (Mathematisches Institut, LMU München)
• 1993-2000 Lecturer (Mathematisches Institut, LMU München)
• 1994-1995 Visiting Associate (Dept Mathematics, California Institute of Technology, Pasadena)
• 2000-2003 Lecturer (School of Mathematics, Cardiff)
• 2003-2009 Senior Lecturer (School of Mathematics, Cardiff)
• 2009-2017 Reader (School of Mathematics, Cardiff)

Honours

• 2020 Elected Fellow of the Learned Society of Wales

Publications

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Teaching

Undergraduate - Spring semester

• MA1001 Elementary Differential Equations / MA1051 Hafaliadau Differol Elfennol
• MA3005 Functional and Fourier Analysis

Postgraduate - Autumn semester

• MAGIC057 Spectral Theory of Ordinary Differential Operators

Research interests

• Spectral Theory, Differential Operators and Mathematical Physics
• Asymptotic Analysis of Differential Equations
• Linear Algebra, Additive Combinatorics
• Analysis in Probability Theory
• Mathematical Methods in Medical Genetics

Research group

• Mathematical Analysis Research Group

Supervision

Postgraduate students

Current

• A Law (joint supervision with M C Lettington) - Additive Combinatorics
• G S Jameel - Spectral Theory

Graduated

• S Monaquel (joint supervision with W D Evans) - Some Problems Associated with Differential and Difference Equations, PhD 2004
• S Aumann (joint supervision with B M Brown) - A Hardy-Littlewood-Type Inequality for the p-Laplacian, MPhil 2007
• M Ghodsi (joint supervision with V Moskvina) - Analysis of Dynamical Processes for Test Assessment in Medical Genetics, PhD 2012
• D Hughes - Spectral Analysis of Dirac Operators under Integrability Conditions, PhD 2012
• M Vronskaya (joint supervision with A Zhigljavsky) - Stability of Singular Spectrum Analysis and Causality in Time Series, Phd 2014
• S Hill (joint supervision with M Lettington) - Problems Related to Number Theory: Sum-and-Distance Systems, Reversible Squares Matrices and Divisor Functions, PhD 2018
• E Baker (jointly with V Escott-Price (main supervisor) et al, MEDIC) - Investigation of New Strategies for Identifying Causal Mechanisms in Alzheimer's Disease Taking Bioinformatics Approaches Beyond GWAS, PhD 2018
• T Phillips (joint supervision with A Zhigljavsky) - On Positive and Conditionally Negative Definite Functions with a Singularity at Zero, and their Applications in Potential Theory, PhD 2018
• M Lewis (joint supervision with K Cherednichenko, Bath) - Stability of Solutions of a One-dimensional p-Laplace Equation with Periodic Potential, PhD 2019

Past projects