**THE UNIVERSITY OF NOTTINGHAM**

*JIM LANGLEY'S RESEARCH PAGE*

Prof. J.K. Langley,
School of Mathematical Sciences, University of
Nottingham, NG7 2RD.

back to Jim Langley's home page

**RESEARCH **

My research is on the value distribution of meromorphic
functions, with particular reference to zeros of derivatives,
and occasionally to iteration and to
differential equations in the complex domain.
Here are PDF versions of some recent talks I have given:

Bank-Laine functions and complex DEs (various seminars 1998-99)

Meromorphic functions and their derivatives (British Mathematical
Colloquium 1997)

Second order differential equations and a question of Rubel concerning
asymptotic paths
(Function Theory and Function Spaces Meeting, Nottingham,
September 2000).

A question of Rubel concerning asymptotic paths (IC, October 2000)

QC surgery and critical points of certain potentials (Warwick 2001)

Nichtreelle Nullstellen der Ableitungen
ganzer Funktionen (TU Berlin 2005)

Integer points of entire functions (CMFT and One Day
Function Theory Meeting 2005)

Equilibrium points of logarithmic potentials on convex
domains (Tag der Funktionentheorie, Aachen, June
2006)

Zeros of derivatives in the plane and off the real line
(Paris-London Analysis Seminar, October 2009: a similar talk given at CMFT,
Ankara, June 2009)
Non-real zeros of derivatives of real meromorphic functions
(Oktoberfest, Cardiff 2010)

Integer points of entire functions
(Frontiers of Nevanlinna Theory I, London March 2011)

An introduction to
Nevanlinna theory (ICMS Workshop on The role of
complex analysis in complex dynamics,
Edinburgh, May 2013)
A lot of these talks concern the former Wiman conjecture,
for which more details can be found below:

The former Wiman conjecture: some background

More remarks on the former Wiman conjecture
Some numerical investigations by Fangzhao Liu, supported by a grant from the
Nuffield Foundation, can be found here:

Numerical investigations related to problems in
mathematical analysis
You can also read a brief introduction to some of my research
from ca. 2002 in

PDF file jklresearch.pdf
and a description of some of my research ca. 2007 in

PDF file
My postgraduate notes are
in PDF:
postgraduate notes

You can find a list of my publications,
in some cases with dvi and/or PDF files, at

Jim Langley's publications
Here is a photo from the
2012 One Day Function Theory Meeting:

Poem by Wolfgang Fuchs:
Oberwolfach 1986

Here are some links to some function theory pages and other useful
sources:

Alex Eremenko's
home page
Walter
Bergweiler's home page
Norbert Steinmetz' home page
Katsuya Ishizaki's home page
The Finnish Annals
XXX archive
MathSciNet
Mandelbrot and Julia set explorer
The Mandelbrot /Julia set Applet
Goettingen archive
Goettingen archive (search)
**Measure and Integration notes:**
my notes for this former module (no longer taught at Nottingham) are viewable in a
PDF version.

Here are some further notes on measure theory, again viewable in a
PDF version.

**first year Real Analysis:** I taught first year
Real Analysis for many years and my lecture
notes (from a long-discontinued module) are available here in

PDF format .

Note that not all pdf viewers will display these notes correctly, but they
seem to be fine with Adobe Acrobat (e.g. on Windows IE).
All these notes are Copyright © J.K. Langley, but freely available
for personal use.