Promotor: H.W. Lenstra

This thesis provides explicit expressions for the density functions of absolutely continuous invariant measures for general families of interval maps, that include random maps and infinite measure transformations, not necessarily number systems.

This dissertation consists of two parts, each of which considers a different research area related to random interval maps. In the first part we are interested in random interval maps that are critically intermittent.

Het onderzoek binnen het Algebra, Geometry and Number Theory programma varieert van fundamentele wiskundige theorie tot algoritmes en toepassingen.

Promotores: P. Stevenhagen, A. Enge Co-Promotor: T.C. Streng

In de masterspecialisatie Algebra, Geometry and Number Theory verbreed je je kennis van de zuivere wiskunde met onderwerpen als getaltheorie, algebraïsche meetkunde, algebraïsche topologie en cryptologie.

Promotor: S.J. Edixhoven Co-promotor: L. van Geemen, P. Parent

Promotores: P. Stevenhagen, E. Fouvry (Univeriste Paris Saclay)

Quantum critical metals at vanishing fermion flavor number.

Promotie

This thesis is is made of three parts. The first part describes a generalization of the Chabauty's method, that can be used to determine the rational points of a curve such that s+g>r+1, where g is the genusof the curve, r is the rank of the Mordell-Weil group of the jacobian of the curve and s is…

Promotor: Prof.dr. P. Stevenhagen, Prof.dr. K. Belabas (Univ. de Bordeaux)

Met grote verslagenheid hebben wij kennisgenomen van het overlijden van prof. dr. Hans Daalder (4 mei 1928 – 4 april 2016).

Ambtenaren en militairen mogen bij het afleggen van de eed zweren bij Allah, maar voor raadsleden zijn de regels anders. Toch is het niet voor het eerst dat moslimpolitici de Naam van God proberen te vervangen door Allah.

This thesis consists of three chapters, the first two of which concern division points of elements of the multiplicative group of a number field.

As part of the lecture series 'Religion Matters', Sven Gins (RUG) will speak about moving statues and other ingenuous devices in late medieval France. The lecture will take place on Wednesday, March 13, 17:00-18:00.

We show that Kirchhoff ’s law of conservation holds for non-commutative graph flows if and only if the graph is planar. We generalize the theory of (Euclidean) lattices to infinite dimension and consider the ring of algebraic integers as such a lattice.

Promotoren: R. Tijdeman, A.K. Lenstra, Co-promotor: H.J.J. te Riele

This thesis consists of three chapters. Each chapter is on a different subject. However, all three chapters address issues that arise in counting arithmetically interesting objects.

Promotor: P. Stevenhagen, Co-promotor: R.M. van Luijk

Promotor: Prof.dr. P. Stevenhagen, Jan-Hendrik Evertse, Co-promotor: Pascal Autissier

Promotor: S.J. Edixhoven

This dissertation is a collection of four research articles devoted to the study of Kummer theory for commutative algebraic groups.

To an algebraic curve C over the complex numbers one can associate a non-negative integer g, the genus, as a measure of its complexity.

Promotor: Prof.dr. P. Stevenhagen, Co-Promotor: J.H. Evertse

In verband met de brand in studentenflat De Struyck aan het Rijswijkseplein in Den Haag hebben we een noodnummer ingesteld: 071-5271132. (English below)

Promotor: Robert Tijdeman, Co-promotor: Cornelis Kraaikamp

Promotores: S.J. Edixhoven, P.Parent

The unit residue group, to which the present thesis is devoted, is defined using the norm-residue symbol, which Hilbert introduced into algebraic number theory in 1897.

Collectie beeldmateriaal Instituut Kern

Promotor: Peter Stevenhagen

Promotor: S.J. Edixhoven, Co-promotor: R.S. de Jong

Most of current public-key cryptography is considered insecure against attacks from sufficiently powerful quantum computers. Post-quantum cryptography studies methods to secure information resistant against such attacks. One proposal is isogeny-based cryptography, which bases its security on computational…

Oratie

For many system in statistical physics the microcanonical and canonical ensemble are equivalent in the thermodynamic limit, but not for all.

In this thesis three different topics in number theory are studied.

Nadia Bouras, 'Het Land van Herkomst, Perspectieven op verbondenheid met Marokko, 1960-2010' (2012) Uitgeverij Verloren.

Tot deze subcollectie behoren:

In de Nederlandse natuur verdwijnen plantensoorten die afhankelijk zijn van bestuiving door insecten. Milieuwetenschapper Kaixuan Pan toont dat aan na analyse van 87 jaar aan metingen van meer dan 365.000 locaties. Verschillende media in binnen- en buitenland berichtten over de studieresultaten. Hieronder…

This thesis is devoted to an in-depth examination of the various effects of disorder in the cuprate high-temperature superconductors.

Assuming everywhere good reduction we generalize the class number formula of Taelman to Drinfeld modules over arbitrary coefficient rings.

In my research, we developed a method to distinguish knots. A knot is a mathematical depiction of the everyday knot that occurs in ropes and cords.

The basic program comprises a total of thirteen courses organized by the Research School, that have been purpose-developed for training and support of PhD students and Research MA students who specialize in Medieval Studies (history, art history, and literary history, in particular). The courses have…

Hoe heeft migratie de Ierse en Italiaanse samenleving sinds 1945 beïnvloed?

Despite being the object of intense study, embryonic development has been difficult to model due to a number of reasons. First, complex tissues can be comprised of many cell types, of which we probably only know a subset.

Effectiveness and Side-effects.

Fundamental research in the ALgebra, Geometry And Number Theory