- Mathematical models and experimentation in pattern (e.g., letter) and face recognition, and visual display and memory search
- Mathematical investigations of the testability of issues in information processing, such as parallel vs. serial processing
- Human decision making from an approach based on psychologically oriented stochastic process theories
- Dynamics and process models in clinical phenomena
Development of general mathematical theory and methodologies for human perception and cognition:
- Stochastic processes, probability theory, and mathematical statistics.
- Differential geometry and topology.
Cognitive psychology and psychophysics including:
- Visual pattern perception and signal detection.
- Face perception.
- Configurality and gestalt perception vs. separable and independent dimensions and features.
- Human decision and planning behavior.
- Short-term memory search.
Development and application of mathematical models to clinical research phenomena:
- Schizophrenia
- Autism
- General methodological approaches to clinical science
Development of general mathematical approaches to human information processing in cognitive and clinical psychology including:
- Identification of cognitive systems
- Configural perception
- Inter-modality interactions
- Visual and memory scanning
- Decision theory
- Attentional capacity
- Applications to schizophrenia and autism
