# Alison M Etheridge

## Research Interests:

My research can be roughly divided into the three
interconnected areas of infinite dimensional stochastic analysis,
mathematical ecology and mathematical population genetics. A
list of publications can be found on my
`official' website.
The Minerva Foundation Lectures below give an impression of some of the
problems from mathematical population genetics that interest me.
I am also a member of the
Mathematical Institute and
Magdalen College.

Slides from EPSRC/LMS short course, April 2011:

Peter's first lecture

Peter's second lecture

Peter's third lecture

Peter's fourth lecture

Amanda's lecture

Andrew's lectures

Zach O'Dowd's MMath Dissertation on voting systems

## Group Members (past and present):

Current and former graduate students (including longterm visitors)
and postdocs in the group include:

Kim Becker

Matthias Birkner,

Jochen Blath,

Marcella Capaldo,

Jono Chetwynd-Diggle

Charles Cuthbertson,

Andrej Depperschmidt,

Leif Doering,

Bjarki Eldon

Raphael Forien

Nic Freeman

Mitch Gooding

Alex Hening

Martin Hutzenthaler

Jerome Kelleher

Alex Jackson,

Jerome Kelleher

Aleksander Klimek

Bence Mélykúti,

Peter Koepernik

Imre Kvasznicza,

Cyril Labbé,

Adrian Martini

Mark Meredith,

Luke Miller

Sarah Penington

Helmut Pitters

Habib Saadi,

Saurav Sen,

Aaron Smith

Daniel Straulino,

Anja Sturm,

Daiki Tagami

Jay Taylor,

Terence Tsui

Leo Tyrpak

Amandine Véber,

Shidong Wang

Bastian Wiederhold

David Williams,

Feng Yu.

## Teaching Materials:

Below are teaching materials relating to various courses.
Lecture notes for current courses are posted on
the Mathematical Institute website.

Click here for lecture notes and problem sheets for
Stochastic calculus
for finance.
Note that these have been improved and expanded to
produce `A Course in Financial Calculus', Cambridge University Press, 2002

Click here for lecture notes and problem sheets for
Diffusion process models in mathematical genetics.
Note that these have been improved and expanded to
produce `Some mathematical models from population genetics. École d'Été
de Probabilités de Saint-Flour XXXIX-2009'; Lecture Notes in Mathematics vol. 2012. Springer.

Click here for lecture notes for
Lebesgue integration (Part A, 2011).

Click here for lecture notes for
Discrete parameter martingales (Part B, 2010).

Click here for lecture notes for
Continuous parameter martingales (Part B, 2018).

Click here for lecture notes for
Stochastic Analysis and PDE's (CDT/ Part C, 2016).

Click here for pdf files of
Minerva Foundation Lectures,
Columbia University, September 2007.

Click here for pdf files of
Orsay M2 lectures,
Note that these notes were eventually corrected and extended to produce
the St Flour Lecture Notes `Some mathematical models from population genetics',
Lecture Notes in Mathematics vol 2012, Springer (2011).

Alison Etheridge