Welcome to the homepage of the Research Group Computer Algebra and Number Theory

Everything at a glance

News

01.02.2024

Math­em­at­ics of Com­pu­ta­tion - Prof. Dr. Jür­gen Klün­ers elec­ted to the Ed­it­or­i­al Board Com­mit­tee as As­so­ci­ate Ed­it­or

Read more
27.09.2023

New Dean's Of­fice elec­ted for the Fac­ulty of Com­puter Sci­ence, Elec­tric­al En­gin­eer­ing and Math­em­at­ics

Read more
09.12.2022

New col­lab­or­at­ive re­search centre for in­teg­ral struc­tures

Read more
17.05.2021

Forschung­sarbeit ver­ändert sich – The New Nor­mal is on a Hy­brid Spec­trum!

Read more
28.01.2020

Fach­gruppe Com­puter­al­gebra – Prof. Dr. Jür­gen Klün­ers in die Fach­grup­pen­lei­tung gewählt

Read more
14.03.2018

GDMV 2018: Gelebte In­ter­d­iszip­lin­ar­ität bei Deutsch­lands größter Math­et­a­gung an der Uni­versität Pader­born

Read more
14.03.2018

Math­em­atikel­ite trifft sich in Pader­born – Über 1.100 Teil­nehmer an der Uni­versität er­war­tet

Read more
28.03.2017

GDMV 2018 in Pader­born 05.03.-09.03.2018

Read more
13.10.2013

Fak­ultät­s­rat wählt neuen Dekan - Prof. Dr. Jür­gen Klün­ers ist Leit­er der Fak­ultät für Elektro­tech­nik, In­form­atik und Math­em­atik

Read more
17.06.2013

Wei­er­straß-Pre­is für aus­gezeich­nete Lehre 2013

Read more
More news

The main goal of computer algebra is the symbolic solution of mathematical problems on a computer. Therefore, on the one hand, new algorithms are theoretically developed and reviewed and on the other hand implemented into existing computer algebra systems, like Kant or Magma. For many years, a database for number fields has been provided via web-interface, which contains of more than 3 million number fields with "interesting" Galois groups. The developed algorithms and its calculated data are used to establish hypotheses for mathematical problems or to verify them experimentally. Several members of our work group are working on so called asymptotic problems, e.g. the distribution of fields with a given Galois group or the distribution of class groups in algebraic (of algebraic) number fields. In this case, using the computer for experiments has turned out to be very useful.