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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

June 2023

We organize an Intercity Number Theory Seminar on June 30. See https://pub.math.leidenuniv.nl/~brightmj/ic/current.html for the program.

Cecília Salgado wins the prize for the best teacher of the year in the RUG mathematics programs.

Jaap Top gives a talk at the Bas Edixhoven Memorial Symposium on June 2.

Timo Keller joins our group as a postdoc, funded by a Marie Skłodowska-Curie postdoctoral fellowship. Welcome!

February 2023

Pınar Kılıçer co-organizes the conference COUNT, COmputations and their Uses in Number Theory at CIRM from February 27 to March 3.

Sergio Troncoso Igua visits our group until May 2023. Welcome!

November 2022

There are up to two open PhD positions in arithmetic geometry in our group. The positions are part of the NWO-XL project Rational Points: New Dimensions.

October 2022

There is an open postdoc position in coding theory in our group. The position is part of the NWO-XL project Rational Points: New Dimensions.

September 2022

Manoy Trip starts as a PhD student in our group. Welcome!

The exhibition Women of Mathematics throughout Europe is displayed in the Bernoulliborg between September 12 and September 23. The organizers of the display are Cecília Salgado and Steffen Müller from the Algebra group and Anne-Men Huijzer from the Systems and Control group.

Cecília Salgado is co-organizing the workshop Diophantine Geometry and L-functions: Hindry 65 in Bordeaux from September 26 to September 30.

August 2022

There is a workshop Curves over finite fields and arithmetic of K3 surfaces happening at the Bernoulli Institute from August 30 to September 1. The occasion for this is the 62nd birthday of Jaap Top.

July 2022

Marc Paul Noordman defends his thesis on July 5. Congratulations!

Stevan Gajović defends his thesis on July 7. Congratulations!

Steffen Müller gives a talk at the Mathematical Colloquium of the University of Bayreuth on July 21.

A team of researchers led by Martin Bright (Leiden) and including Cecília Salgado and Steffen Müller is awarded an NWO-XL grant for the project Rational Points: New Dimensions.

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.

February 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. Congratulations!

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 ...