Department of Mathematics |
|
Research interests: Applied
Harmonic Analysis, Wavelet
Analysis, Frame Theory, Biomedical Image Analysis (Neuroscience Imaging,
Metastatic Liver Cancer Detection in Abdominal CT with contrast). More recently,
I work on local oscillation normalization in unconstraint
illumination conditions (this area
of research directly applies to
unconstraint illumination normalization for face recognition), on
Extension Principles and on Directional Representations with applications to
neuroscience imaging. To get a
taste of our group’s recent work on 3D-textures and on the detection of
metastatic liver cancer please click here
Interesting Links:
Center for Mathematical
Biosciences
Mathematics Collaborators:
Nikolaos Atreas, Robert Azencott,
Bernhard G. Bodmann, Saurabh
Jain
MATH 4397-01 Mathematics of General Insurance NEW COURSE
FALL 2016 TU-TH 230-4PM
Prerequisites:
Math 2431 (Calculus III), Math 3338
Description of the course:
The course
begins with a quick review of the concept of moments for discrete and
continuous random variables. Mathematical expectation, multidimensional
random variables and conditioning of random variables, Distributions of
claim sizes, fitting models to claim number and size data, short-term risk
models, premium calculation principles (EVP, SDP, VP, ZUP, QP),
maximum and minimum premiums, Bayesian credibility history, mixed random
variables, reinsurance.
The
course will require the use of R for statistical computations. The
expectation is for students to build the mathematical background required
for the actuarial
workplace.
Recommended textbook:
Risk Modelling in General Insurance:
From Principles to Practice (International Series on Actuarial Science), 1st
edition.
by
Gray,
Roger J. and Pitts, Susan M.
published by Cambridge,
ISBN-13: 978-0521863940
Math 3331, Ordinary Differential Equations (Summer schedule, daily 2-4pm)
Syllabus and grading policies
BRING A BLUE EXAM NOTEBOOK WITH YOU FOR EACH EXAM
Math 3339, Statistics for the Sciences (Summer schedule, daily 10am-12pm)
.
Syllabus and grading policies
BRING A BLUE EXAM NOTEBOOK WITH YOU FOR EACH EXAM
OFFICE HOURS:
Please don't ask
me questions by e-mail. In the case, we have to explain several
things to you. We may not be able to supply a satisfactory answer via e-mail.
Meeting with us is always more helpful. Besides UH is a university with a real,
not a virtual campus. However, if time is an issue, please, submit
your question by e-mail and wait for our response.
CASA (222,
former Garrison Gym). Ask for someone who can offer
you help for the course material you study.
Hours of
operation
Monday through Thursday: 9:00
a.m. to 7:00 p.m.
Friday: 9:00 a.m. to 2:00 p.m.
Selected
List of Recent Publications and Preprints
Last updated: 7/7/2016