Jason HancoxPhD student
- Noncommutative Probability
- Quantum Groups
- Functional Analysis
Noncommutative mathematics is an attempt at generalizing already existing mathematical objects in a satisfying and mathematically significant way. Loosely speaking, this is achieved by considering the algebra of complex valued functions on these objects with suitable structure and removing commutativity.
A short list of exceptional examples are C*-algebras, von Neumann algebras and compact quantum groups which correspond to locally compact Hausdorff topological space, sigma finite measure spaces and compact topological groups respectively.
I am currently investigating stochasic processes on quantum groups which include generalized notions of random walks and Lévy processes. Questions that are ever present include: "What properties from the well established classical theory can be translated over to this broader notion?" and "What results can be discovered from this abstract formulation that would not have been possible in the classical setting?".
I can regularly be found in office B49 Fylde.
Homework box #:36
Workshops 2017/2018 :
MATH210 Real Analysis (Weeks:1,3,5,7,9)
- Thursday 14:00-16:00 Bowland SR26
- Thursday 16:00-18:00 Bowland SR26
MATH220 Linear Algebra (Weeks: 2,4,6,8,10)
- Tuesday 13:00-15:00 George Fox LT3
MATH313/413 Lebesgue Integration
- Wednesday 11:00-12:00 Charles Carter A17 (Weeks: 1-4)
- Wednesday 11:00-12:00 Faraday SR4 (Week 5)
MATH332/432 Stochastic Processes (Weeks: 6-10)
- Friday 11:00-12:00 Fylde LT2
Problem Solving classes MATH110 (Weeks: 2-4, 7-9, 12-14, 17-19)
- Tuesday 10:00-11:00 Bowland SR1
- Tuesday 12:00-13:00 Fylde C48
- Wednesday 10:00-11:00 Fylde C48
- Analysis and Probability