Department/Unit: Mathematical sciences
Qualifications: PhD in Mathematics
PhD Institution: University of Bordeaux and University of Padova
PhD dissertation title: Tame action of groups schemes and tame stacks
Current research interests and projects: Algebraic number theory, Algebraic geometry, Abstract Algebra
Selected publication 1: When are permutation invariants Cohen-Macaulay over all fields? (with Ben Blum Smith), in Algebra and Number Theory, Vol. 12 , No. 7, 1787–1821 ht
Selected publication 2: An explicit triangular integral basis for any separable cubic extension of a function field (with Kenneth Ward), European Journal of Mathematics
Selected publication 3: A complete study of the ramification for any separable cubic global function field, (with Kenneth Ward) Research in Number Theory 5, 36
Selected publication 4: Holomorphic differentials of solvable Galois towers of curves over a perfect field (joint with Kenneth Ward), Mathematische Nachrichten
Selected publication 5: Existence of slices on a tame context, European Journal of Mathematics 1(1):54-77, https://doi.org/10.1007/s40879-014-0022-4 (2015).
Selected publication 6: Generic polynomials for cyclic function field extensions over certain finite fields. European Journal of Mathematics, 4(2):585-602, https://doi.org/10.1007/s40879-017-0188-7 (2017).
Selected publication 7: The Geometry Of The Moduli Space Of non-cyclic Biquadratic Field Extensions. (with Mpendulo Cele, master student). Quaestiones Mathematica, https://doi.org/10.2989/16073606.2021.1951391 (2021)
Selected publication 8: Cubic function fields with prescribed ramification. (with Valentijn Karemaker and Jeroen Sijsling). International Journal of Number Theory. Vol. 17, No. 09, pp. 2019-2053, https://doi.org/10.1142/S1793042121500755 (2021)
Selected publication 9: An explicit triangular integral basis for any separable cubic extension of a function field (with Kenneth Ward), European Journal of Mathematics, https://doi.org/10.1007/ s40879-018-0243-z., (2018).
Selected publication 10: Toward an intuitive understanding of the structure of near-vector spaces. (with Karin-Therese Howell). Accepted for publication in Communication in Algebra. Available at https://arxiv.org/pdf/1912.06674.pdf (2020)
Capstone assignment title: The role of the supervisor for the integration of academia into the real world.
Capstone assignment abstract: The gap from academia and the real world disempower dramatically the impact of research at a global scale toward the various urgent problems of modern society such as food, climate change, overpopulation, viruses, education, diversity, equity... This gap is so embedded into our mind that it leads to the idea of a distinction from academia and the real world (see also [1]). The gap is multidimensional: between academia and industry [2], between academia and practice [3] between academia and schools [4], between academia and policy [5], between scientists and the public... The question we investigate in this work is the role and the importance of the supervisor in bridging those gaps embedding necessary skills into their students early in their career. Being from a non-academic background, when I started as an academic, I was overwhelmed by the many untold social rules of academia that are essential to survive and build your career. In this piece, we will also touch on how one can transfer them to a student to help them to navigate within academia with more ease and stay connected with the real world at an emotional level. The importance of some of the following aspects in the supervision is also emphasized in [17]. The purpose of this work is not to encourage to prioritize humanity against quality, research relevance, rating … But that it is urgent for research to connect meaningfully with the real world to ensure a better balance between all the components of a successful life, those including being a good human being. This would make research more inviting for talented researchers that are pushed away from the level of competition and selfishness of the research environment. It would also probably make research have a more meaningful impact on the quality of life from general wellbeing, inner wellbeing, and the planet wellbeing. Those are too often undervalued or dismissed in the research world when one loose him/herself in the endless competition game.
