Oussama Hamza (maths)

I am an assistant researcher (postdoc) in the Institute for Advanced Studies in Mathematics (IASM) at Harbin Institute of Technology (HIT).

I completed my PhD thesis on 28 June 2024 at Western University, under the supervision of Christian Maire and Jan Minac.
My work mostly deals with pro-p groups filtrations and associated graded Lie algebras. I am also interested in Arithmetic and Geometric applications.

Address:
Institute for Advanced Studies in Mathematics
Harbin Institute of Technology,
NO.92 West Da Zhi St.
Harbin, China
Office: 206-2, Mingde Building
Email: ohamza3[at]uwo[dot]ca

(Pre)Publications

Filtrations and cohomology on graph products
Submitted 2026, 29 pages.
with Christian Maire, Jàn Minàč, and Nguyen Duy Tân, Maximal 2-extensions of Pythagorean fields and Right Angled Artin Groups
Submitted 2025, 30 pages.
with Donghyeok Lim and Christian Maire, Massey products and unipotent extensions with restricted ramification
Accepted by Proceedings of the Fields Institute "Workshop on Galois Cohomology and Massey Products : A conference in honour of Jan Minac’s 71st birthday".
On extensions of number fields with given quadratic algebras and cohomology
Manuscripta Mathematica. 176 (2025), 8.
Zassenhaus and Lower central filtrations of pro-p groups considered as modules
Journal of Algebra. 633 (2023), 172-204.
with Christian Maire, A note on assymptotically good extensions in which infinitely many primes split completely
Archiv der Mathematik. 115 (2020), 523-534. This work was completed during my master thesis under the supervision of Christian Maire.

Some Talks

February 2026 Séminaire d'algèbre et de théorie des nombres, Filtrations on Graph Products: Applications in Galois Theory and Geometry, Laboratoire de mathématiques de Besançon, France.
January 2026 Al@Bicocca seminars, Filtrations on Graph Products: Applications in Galois Theory and Geometry, Università Degli Studi di Milano-Bicocca, Italy.
January 2026 Séminaire d'arithmétique à Lyon, Absolute Galois groups and graph Theory, UMPA, ENS Lyon, France.
December 2025 Algebra and Topology Seminar, Filtrations on Graph Products: Applications in Galois Theory and Geometry, Xi'an JiaoTong-Liverpool University, China.
November 2024 Silk Road International Autumn Symposium for Distinguished Young Scholars, Special quotients of Absolute Galois groups with application in Number Theory and Pythagorean fields, Xi'an JiaoTong University, China.
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

April 2026 A Celebration of Golod's Mathematical Legacy, University of Warwick, United Kingdom.
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

Some academic Visits

January 2026 Università degli studi di Milano-Bicocca, Milan, Italy.
December 2025 Xi'an Jiaotong–Liverpool University, Suzhou, China.
May 2025 Korea National University of Education, Seoul, South Korea.
November 2024 Institute for Advanced Studies in Mathematics, Harbin Institute of Technology, China.
February 2024 ICMAT, Madrid, Spain.

Awards

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