(Former) homepage of Yuri Santos Rego
About
I defended my PhD at the Universität Bielefeld under the supervision of Prof. Kai-Uwe Bux. Starting in June I will be a postdoc at the OvGU Magdeburg working with Prof. Petra Schwer.
I got my Master's degree from the Universidade Estadual de Campinas (Unicamp), advised by Prof. Dessislava Kochloukova, and my Bachelor degree from the Universidade de Brasília (UnB). In Brasília I was also a member of the groups PETMat-UnB and Theory of Computation under the guidance of Profs. Mauro Rabelo and Maurício Ayala-Rincón, respectively.
I got my Master's degree from the Universidade Estadual de Campinas (Unicamp), advised by Prof. Dessislava Kochloukova, and my Bachelor degree from the Universidade de Brasília (UnB). In Brasília I was also a member of the groups PETMat-UnB and Theory of Computation under the guidance of Profs. Mauro Rabelo and Maurício Ayala-Rincón, respectively.
Research interests
My research is mostly in combinatorial group theory, with particular interest in presentations and higher (homological and homotopical) finiteness properties. So I am very fond of topological, geometric, homological, and combinatorial aspects of groups as well as related topics. Groups that I like include (but are not limited to) matrix groups (algebraic, Lie, (S-)arithmetic...), R. Thompson's groups and their relatives, locally compact groups, and Artin--Tits groups. I am also interested in formal methods in mathematics.
Keywords: Group (co)homology; topological finiteness conditions; combinatorial and geometric group theory; matrix groups; Thompson groups; low-dimensional topology; pro-p groups; formal methods; proof assistants.
Keywords: Group (co)homology; topological finiteness conditions; combinatorial and geometric group theory; matrix groups; Thompson groups; low-dimensional topology; pro-p groups; formal methods; proof assistants.
Preprints, publications, and theses
- Finiteness properties of split extensions of linear groups, PhD thesis, Universität Bielefeld, 2019. pdf
- On the finiteness length of some soluble linear groups, preprint, 2019. arXiv:1901.06704
- Split-braid-merge diagrams, 3-manifolds, and conjugacy in a braided Thompson group (with Kai-Uwe Bux), preprint, 2018.
- Presentations of parabolics in some elementary Chevalley-Demazure groups, preprint, 2018. arXiv:1801.05320
- A desigualdade de Golod-Šafarevič para grupos pro-p e grupos abstratos, Master's dissertation, Unicamp, 2014. (pdf, in Portuguese)
- Formalization in PVS of balancing properties necessary for proving security of the Dolev-Yao cascade protocol model (with Maurício Ayala-Rincón), Journal of Formalized Reasoning, vol. 6, no. 1, 2013, 31--61. (pdf, full PVS theory: PVS 5.n, PVS 6.0)
Teaching/Lehre/Ensino
I am not teaching in the Sommersemester 2019.
During the WiSe2017/18 and the WiSe2016/17 I was a tutor at Uni Bielefeld for the courses Lineare Algebra für Physik (evaluation results -- 24 registered students, 15 frequent, 11 evaluations) and Gruppentheorie (evaluation results -- 6 registered students, 4 frequent, 3 evaluations). During my undergraduate studies I was a T.A. at UnB for the following courses: Cálculo 1, Cálculo 3, Introdução à álgebra linear, Álgebra 2, Álgebra 3 and Análise 1.
During the WiSe2017/18 and the WiSe2016/17 I was a tutor at Uni Bielefeld for the courses Lineare Algebra für Physik (evaluation results -- 24 registered students, 15 frequent, 11 evaluations) and Gruppentheorie (evaluation results -- 6 registered students, 4 frequent, 3 evaluations). During my undergraduate studies I was a T.A. at UnB for the following courses: Cálculo 1, Cálculo 3, Introdução à álgebra linear, Álgebra 2, Álgebra 3 and Análise 1.
What's on (or was)
Since the WiSe2017/2018 I am a co-organizer of the Oberseminar Gruppen und Geometrie in Bielefeld.
Together with Benjamin Brück and Eduard Schesler I organized the Block Seminar on Arithmetic groups and rigidity, which took take place in Bielefeld from 21st to 23rd of March 2018. The last Block Seminar, Constructions of aspherical manifolds and complexes, was organized by our colleagues from Regensburg and took place on the Frauenchiemsee from 23rd to 28th of September 2018.
During 2018 I might have been spotted at the following conferences:
Geometric Group Theory at ∞ in Bielefeld,
Buildings 2018 in Münster,
GGT in Campinas,
Group Theory in Cabo Frio,
Trees, dynamics and locally compact groups in Düsseldorf,
Cohomological and metric properties of groups of homeomorphisms of R in Oberwolfach,
THGT 2018 in Bielefeld,
Spring school on complete reducibility in Bochum.
Together with Benjamin Brück and Eduard Schesler I organized the Block Seminar on Arithmetic groups and rigidity, which took take place in Bielefeld from 21st to 23rd of March 2018. The last Block Seminar, Constructions of aspherical manifolds and complexes, was organized by our colleagues from Regensburg and took place on the Frauenchiemsee from 23rd to 28th of September 2018.
During 2018 I might have been spotted at the following conferences:
Geometric Group Theory at ∞ in Bielefeld,
Buildings 2018 in Münster,
GGT in Campinas,
Group Theory in Cabo Frio,
Trees, dynamics and locally compact groups in Düsseldorf,
Cohomological and metric properties of groups of homeomorphisms of R in Oberwolfach,
THGT 2018 in Bielefeld,
Spring school on complete reducibility in Bochum.
Contact
Yuri Santos Rego (a.k.a. Yuri Santos)
Fakultät für Mathematik
Universität Bielefeld
Postfach 100131
Universitätsstraße 25
D-33501 Bielefeld
Deutschland
Büro: UHG V4-207
Telefon: (+49) (0)521 106-4981
E-Mail: ysantos [at] math [dot] uni-bielefeld [dot] de
Links
- Arbeitsgruppe von K.-U. Bux
- Zentralblatt MATH
- MathSciNet
- MathOverflow
- Deutscher akademischer Austauschdienst (DAAD), Deutschland
- Fakultät für Mathematik, Bielefeld
- Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Brasil
- Instituto de Matemática, Estatística e Computação Científica (IMECC), Campinas
- Departamento de Matemática, Brasília
- Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro
- A link to my CV Lattes (in Portuguese)