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Algebra research group

We are part of the Bernoulli Institute at the University of Groningen.

Our research focuses on geometry and its applications to number theory, mathematical physics and differential equations. In particular, this includes algebraic and arithmetic geometry, as well as supergeometry and quantisation. Some of our research is concerned with explicit methods in arithmetic geometry and complex multiplication theory.

Seminars

Clusters

We take part in the NWO clusters

Student projects

If you are interested in a Bachelor or Master project in one of the research areas of our group, contact one of the members of the group. See our teaching page for recent bachelor and master projects in our group.

  1. !!Profile
  2. The following key words give an impression of the areas of research:
  3. Algebraic geometry, Algebraic theory of differential equations, (super)geometry #and quantisation, Arithmetic of elliptic curves, elliptic surfaces and higher #genus curves, Galois representations, eational Points, explicit and #computational arithmetic geometry and algebraic number theory
  4. Some specific topics include:
  5. *Differential equations having the Painlevé property
  6. *Grothendieck's conjecture in differential Galois theory
  7. *Moduli of Drinfeld modules
  8. *Arithmetic and ranks of elliptic surfaces
  9. *Nonselfdual Galois representations
  10. *Homologically trivial cycles on threefolds
  11. *The number of points on a curve over a finite field
  12. *Canonical heights and p-adic heights
  13. *Non-abelian extensions of Chabauty's method

!!News

DO NOT edit the news here, edit it on the Resources.News page

Current News

April 2022

Cecília Salgado gives a talk at the Nationale Wiskunde Dagen on April 8th.

March 2022

Cecília Salgado gives a talk at the Heilbronn seminar at the University of Bristol on March 30th.

Februrary 2022

Francesca Bianchi gives a talk at the Oberseminar Arithmetische Geometrie at the University of Bayreuth on February 10.

January 2022

Steffen Müller gives a talk at the Number Theory Seminar at the University of Copenhagen on 28-01.

December 2021

Francesca Bianchi and Cecília Salgado give talks at the Nordic Number theory Network Days XV on December 11 and December 12.

November 2021

Steffen Müller gives a talk at the Workshop on non-Archimedean and tropical geometry at the University of Frankfurt on 12-11-21.

Jaap Top gives a colloquium talk on 16-11-21.

Martin Lüdtke gives a talk at the Diamant Symposium.

October 2021

Dino Festi (Milano) will teach a lecture series on K3 surfaces and their Picard lattice starting October 26 for 8 weeks on a weekly basis.

Jaap Top & Marius van der Put give a talk in the Web-seminar on Painlevé Equations and related topics on October 29.

Francesca Bianchi gives a talk at the 5th Torino Number Theory Meeting on October 26.

There is a PhD position in arithmetic geometry in our group, under the supervision of C. Salgado. The deadline is October 15.

Martin Lüdtke and Felipe Zingali Meira join our group. Welcome!

Enis Kaya defends his thesis on October 1.

September 2021 On September 30, we have three talks on the occasion of Enis Kaya's PhD defense.
August 2021 Enis Kaya co-organizes a conference Branching from number theory: p-adics in the sciences at MPI Leipzig. One of the invited speakers is Stevan Gajović.
July 2021 Enis Kaya gives a talk at the Oberseminar Arithmetische Geometrie at the University of Bayreuth on July 8.
June 2021

Cecília Salgado gives a talk at Arithmétique, Géométrie, Cryptographie et Théorie des Codes 2022 on June 2.

May 2021 Francesca Bianchi and Steffen Müller give talks at the virtual conference Rational Points and Galois Representations hosted by the University of Pittsburgh.
February 2021 There is a 3-year postdoc position in our group, starting in the fall of 2021 or later.

Cecília Salgado (UFRJ) joins our group. Welcome! DO NOT edit the news here, edit it on the Resources.News page More news ...