Christian Elsholtz
Employment:
1997/99:
Wissenschaftlicher Mitarbeiter, University of Stuttgart
1999/2003
Wissenschaftlicher Assistent, Technical University of Clausthal
2003-2006:
Lecturer in Pure Mathematics at Royal
Holloway, University of London.
2006-2009:
Senior Lecturer in Pure Mathematics at Royal
Holloway, University of London.
2009-2010:
Reader in Mathematics, University of London.
(Tenure since 2006.)
Since 2010 Associate Professor at TU Graz, Austria.
Degrees:
Diplom (M.Sc.) in Mathematics, 1996, Technical University of Darmstadt.
Ph.D., 1998, Technical University of Darmstadt.
Subject: Sums of k Unit Fractions.
My Ph.D. ancestors
Habilitation/Privatdozent 2002, Technical University of Clausthal.
Title: Combinatorial prime number theory-
A study of the gap structure of the set of primes.
Comments:
I am occasionally asked: "what is Habilitation?"
The Habilitation is a formal degree based on
postdoctoral work, (and is considered to be more significant than a Ph.D.)
In the German system it is the highest scientific qualification.
It consists of a written Thesis, a talk on current research
including an oral exam, and a lecture to demonstrate teaching skills.
For each of the latter two talks I had to submit three distinct subjects
(covering the whole range of mathematics) of which the faculty chose:
The crossing number in graph theory and its applications,
and Fair division of sandwiches and cakes.
Address:
Fields of Interest:
Combinatorial, and analytic number theory,
additive and multiplicative problems
Combinatorial group and ring theory
Graph Theory, combinatorics and geometry (in particular extremal
graph theory)
my number theoretic interests in detail:
- Applications of sieve methods, in particular of the large sieve.
- The additive structure of multiplicative sets (such as the set of primes,
or smooth numbers).
- Additive decomposition of sets, Hilbertcubes.
- Prime k tuple conjecture.
- Detection of large structures in "unstructured" sets.
- Diophantine equations.
- Sums of unit fractions.
- Sums and products of sets of integers.
- Zero sums in high dimension (Erdos-Ginzburg-Ziv-type theorems).
- Sums of two squares.
- Computational methods.
my algebraic interests detail:
- Zero sums in abelian groups Z_n^d.
- Generators of cyclic groups.
- How many elements are necessary to ensure the existence of certain
substructures?
- Combination of additive and multiplicative properties in rings.
my combinatorial interests in detail:
- Extremal graph theorey. (Forbidden substructures).
- Kovari-Sos-Turan type theorems.
- The cube lemma.
- Algorithmic approaches to the topics above.
- Crossing numbers of graphs.
- Lattice point problems, geometric problems.
- Regular structures in "unstructured" sets.
Here is a link to a list of my scientific work.
Teaching material.
This is a link (2014) about jobs, which ranks the job of a mathematician highest (i.e. as "best" job), the rank of a University professor as second...
Some old links below:
Royal Holloway, University of London
In 2010 Royal Holloway ranked worldwide 88th place in the Times
Higher Education
University ranking
What the German News magazine "Der Spiegel" wrote on studying at Royal
Holloway (30.10.2009) The article starts with "It's hard to
study in a more beautiful way:
a Castle with opulent Campus, the studies are very British")
I used to organise the Pure Maths seminar at Royal Holloway for some years.
Current Pure Maths seminars at RHUL.
At Royal Holloway I used to be director of the two Master courses
MSc in Mathematics of Cryptography & Communications
and
MSc in Mathematics for Applications
At Royal Holloway I organised talks for schools, such as
Exploring Mathematics
Collection of useful links (books, journals, dictionaries etc).
A two days workshop on the occasion of Prof. Tichy's 60th birthday
(2017, organized with Peter Grabner)
I organized ELAZ 2016 (September 5-9 2016), in Strobl.
I organized a Number theory day 2003.
I co-organised the Workshop analytische Zahlentheorie (3.-7. April
2000) Goslar (ELAZ 2000)