Since 2007, I am working and teaching at the University of Nottingham; and more precisely I am an associate professor at the school of mathematical sciences.
My research interests are centred around the arithmetic of elliptic curves.
I am organising the Northern Number Theory Seminar, which is a joint seminar with Durham, Manchester, Sheffield and York.
In September 2019, we hosted an LMS Regional meeting at Nottingham, which consisted of the meeting day on September 11 and a workshop the two following days.
To get in touch with me send an email to christian wuthrich aaat nottingham ac uk with dots in between. Or find my postal address here.
Papers and preprints
This is a list of published and yettobepublished articles.

Integrality of twisted Lvalues of elliptic curves
joint with Hanneke Wiersema
Preprint or on arxiv, (2020). 
The subleading coefficient of the Lfunction of an elliptic curve
Publ. Math. Besançon Algèbre Théorie Lab. Math. Besançon, Besançon, (2016), 9596.
Preprint or on arxiv or published. 
Numerical modular symbols for elliptic curves
Mathematics of Computation 87 (2018), no. 313, 2393–2423.
Published version, preprint or on arxiv.
The code for the computations is available here. 
Vanishing of some Galois cohomology groups for elliptic curves
joint with Tyler Lawson
in Elliptic Curves, Modular Forms and Iwasawa Theory edited by David Loeffler and Sarah Livia Zerbes, Springer Proceedings in Mathematics & Statistics, Volume 188, Springer, (2017), 373  399
Preprint or on the arxiv or the published version. 
Book review: "Fermat's Last Theorem" by T. Saito (two volumes).
Bull. London Math. Soc. (2015) 47 (5): 892894.
draft or the published version. 
A moduli interpretation for the nonsplit Cartan modular curve
joint with Marusia Rebolledo
Glasgow Mathematical Journal 60 (2018), no. 2, 411–434.
Published version, preprint or on the arxiv. 
On the Galois structures of Selmer groups
joint with David Burns and Daniel Macias Castillo.
International Mathematics Research Notices 22 (2015), 11909  11933.
Preprint or the published version 
On MordellWeil groups and congruences between derivatives of twisted HasseWeil Lfunctions
joint with David Burns and Daniel Macias Castillo.
Journal für die reine und angewandte Mathematik 734 (2018), 187–228.
Published version or preprint.
The sage code to compute that was used to compute numerical examples. etnc.py 
Overview of some Iwasawa theory
in Iwasawa Theory 2012; State of the Art and Recent Advances edited by Athanasios Bouganis and Otmar Venjakob, Contributions in Mathematical and Computational Sciences, Volume 7, Springer, (2014).
preprint or the published version 
On the integrality of modular symbols and Kato's Euler system for elliptic curves
Documenta Mathematica 19 (2014), 381  402.
Preprint or the published version 
The class group pairing and pdescent on elliptic curves
joint with Jean Gillibert.
Proceedings of the London Mathematical Society (3) 106 (2013), no. 2, 345–374.
Preprint (pdf) or on the arXiv. The two Sage files class_group_pairing.py and pdescent.py can be used to do numerical computations using the logarithmic class group pairing and isogeny via a pisogeny. 
Algorithms for the Arithmetic of Elliptic Curves using Iwasawa Theory
joint with William Stein.
Mathematics of Computation 82 (2013), 17571792.
See here for a preprint version and here for the published version. 
Parity conjectures for elliptic curves over global fields
of positive characteristic
joint with Fabien Trihan. Compositio Mathemtica, 147 (2011), issue 04, 11051128.
Available at compositio or on the arXiv. 
Some remarks on selfpoints on elliptic curves
joint with Christophe Delaunay.
Actes de la Conférence "Fonctions L et Arithmétique", 6984, Publ. Math. Besançon Algèbre Théorie Nr., Lab. Math. Besançon, Besançon, 2010.
(pdf) 
Selfpoints on elliptic curves
Algebra and Number Theory 3 (2009), 283315.
(pdf) 
Selfpoints on elliptic curves of prime conductor
joint with Christophe Delaunay.
International Journal of Number Theory 5 (2009), 122.
(pdf) 
Selfpoints on an elliptic curve of conductor 14
RIMS Kôkyûroku Bessatsu 4 (2007), 189195.
(pdf) 
On padic elliptic logarithms and padic approximation lattices
no longer intended for publication.
(pdf) 
Extending Kato's result to curves with pisogenies
Mathematical Research Letters 13 (2006), no. 5, p. 713718
(pdf)
Tadashi Ochiai found an important error in the paper. The paper "On the integrality of modular symbols ... " contains, among other things, the correction and generalisation of the main result of this paper. 
Iwasawa theory of the fine Selmer group
Journal of Algebraic Geometry 16 (2007), p. 83108.
(pdf) 
The fine TateShafarevich group
Mathematical Proceedings of the Cambridge Philosophical Society 142 (2007), no. 1, p. 112.
(pdf) 
On padic heights in families of elliptic curves
J. London Math. Soc. (2) 70 (2004) p. 2340
(pdf) 
Sur la hauteur padique dans une famille de courbes elliptiques
Ann. Sci. Math. Québec 28 (2004), no 12, 219223
(pdf) 
Une quintique de genre 1 qui contredit le principe de Hasse
Enseign. Math. (2) 47 (2001), p. 161172
(pdf) Errata
Here my PhD and two essays I wrote before.

The fine Selmer group and height pairings
PhDthesis in Cambridge, 2004, under the supervision of John Coates. 
The Hare and the Wolf
An essay on padic heights on elliptic curves.
Smithprize essay in Cambridge, 2003. 
Letters to an Egyptian princess
An essay on the Distribution of Prime Numbers, Including the Prime Number Theorem and Dirichlet's Theorem on Primes in Arithmetic Progressions.
Thirdyear essay at the University of Warwick, 1999.
Teaching
These are lecture notes and other material for the courses i am or was teaching. if interested in the LaTeX source or problem sheets, please email me.

Elliptic curves
I started to teach a course on elliptic curves in 2017. It is aimed at third year student here at Nottingham that have never seen any algebraic geometry. In that it is rather different than other courses on elliptic curves.
Nottingham students can find all information on this module on its moodle page.
here are the complete lecture notes on this module as I give it in 2018. The students were given a version without the pictures.

Elementary number theory
Since 2015 I am teaching a course on number theory as the second part of a year 2 module called algebra and number theory.
Again Mottingham students can find all information on this module on its moodle page.
Here are the complete lecture notes on this module as I gave it in 2017.

Group theory
Between 2012 and 2016 I was teaching a course on group theory.
Here are the complete lecture notes on this module as I gave it in 2016.

Coding and cryptography
For many years I was teaching a course on coding and cryptography.
The lecture notes with all problem sheets are here.

Further number theory
I was teaching the course called further number theory for a number of years. It contained the following chapters:
Prime numbers, Quadratic reciprocity, Bernoulli numbers, Lfunctions, Gaussian integers , and padic numbers.

Algebraic number theory
In 2005/6 I was teaching a course on algebraic number theory in the masters program at the ÉPFL. The course covered both the classical approach via ideals as well as an introduction to the theory of valuations and adèles.
Here are the lecture notesin french: I am indebted to Sébastien Nobs for having written up the notes of the full course. These notes are not corrected, and probably never will.
Talks
This is a loose list of talks given at various occasions for various publics.
 In July 2012, I gave a series of lectures at the Iwasawa conference in Heidelberg entitled "An overview of some topics in Iwasawa theory".
 Here is a talk on the Birch and SwinnertonDyer conjecture that I gave at the Open University in January 12.
 During a cold, snowy, but very pleasant week in Montréal in 10, I gave a talk with the title 'Why iwasawa theorists need padic Lfunctions'. That was not my choice of title and the task was not an easy one. So don't expect too much. Moreover, I said many things that are not on the slides.
 In spring 08, I spend a wonderful week in Barcelona talking about Iwasawa theory of elliptic curves. There is a long standing project of mine to turn this into a book. Not sure it will ever happen.
 In southampton in 07, i gave a undergraduate seminar talk about elliptic curve cryptography.
 Half of a talk (the first part was oldfashined blackboard presentation) in Banff in 07 about shark. I gave more or less the same talk in leiden, too.
 A very short presentation of a picture about selfpoints in basel in 07.
 In 07, i gave a lecture in Les Diablerets winter school on the computation of heegner points. In french.