Oussama Hamza (maths)

I recently completed my PhD thesis at Western University, under the supervision of Christian Maire and Jan Minac, which is available here.
My work mostly deals with pro-p groups filtrations and associated graded Lie algebras. I am also interested in Arithmetic applications and Galois groups in a broad sense.

(Pre)Publications

• On extensions of number fields with given quadratic algebras and cohomology
  17 pages, (2023) preprint arxiv, submitted.
• Zassenhaus and Lower central filtrations of pro-p groups considered as modules
  27 pages, (2023) in Journal of Algebra.
• with Christian Maire, A note on assymptotically good extensions in which infinitely many primes split completely
  10 pages, (2020) in Archiv der Math.

Some Talks

• June 2024 Workshop on Galois Cohomology and Massey Products : A conference in honour of Jan Minac’s 71st birthday, On maximal extensions of Pythagorean fields and graph products, Fields Institute, Ottawa University, Canada.
• February 2024 Luxembourg Number Theory Seminars, On extensions of number fields with given quadratic algebras and cohomology, Université du Luxembourg, Esch-sur-Alzette, Luxembourg.
• February 2024 Madrid Group Theory Seminar, On extensions of number fields with given quadratic algebras and cohomology, Institute of Mathematical Sciences, Madrid, Spain.
• December 2023 CMS Winter meeting : "Number theory by early career researchers", On extensions of number fields with given quadratic algebras and cohomology, Hilton Doubletree, Montreal, Canada.
• January 2023 Number Theory and Combinatorics Seminar, Filtrations, arithmetic and explicit examples in an equivariant context, (online) Lethbridge University, Canada.
• October 2022 MAGNTS, Filtrations, Mild groups and Arithmetic in an Isotypical context, (poster) University of Illinois Chicago, USA.
• September 2022 Graduate Student Seminar, Filtrations, arithmetic, and explicit examples in an isotypical context, University of Western Ontario, Canada.
• June 2022 Summer school COGENT, Hilbert series and mild groups , Institut Fourrier, France.
• February 2022 Algebra Seminar, (online) Isotypical components and Zassenhaus filtration, University of Western Ontario, Canada.
• February 2022 Séminaire Mathjeunes, Isotypic components and Zassenhaus filtration, Jussieu Paris, France.
• June 2021 Séminaire compréhensible, Poincaré series and mild groups , Institut Fourrier, France.

Conferences

• May 2023 Arithmetic Statistics: Discovering and proving randomness in Number Theory, Conference and Research School, CIRM Luminy, France.
• April 2022 Geometric and Arithmetic Methods in Number Theory, Université de Besançon, France.
• September 2022 New Trends around profinite groups, Varese (online) Italy.
• September 2021 New Trends around profinite groups, Levico Term (online) Italy.
• July-August 2019 2nd French-German school on Galois theory and Number theory, Dresden University, Germany.
• April 2019 The 5th mini-symposium of the Roman Number Theory Association, Università Roma Tre, Italy.
• April 2019 Spring school "Geometric and Analytic Methods for Rational Points", CIRM Luminy, France.

Education and Positions held

• 28^th June 2024 PhD Defense at Western University, Canada
• 2020-2024 Teaching Assistant at Western University, Canada
• 2016-2020 Elève Normalien at the Ecole Normale Supérieure de Lyon, France

Awards

• 2018 Concours SMF Junior, Prix spécial du Jury, teamed with Baptiste Cerclé and Martin Fatou