About

Jocelyne is a 50th Anniversary Scholarship holder. She commenced her PhD studies in autumn 2015 under the supervision of Dr Constanze Roitzheim. Her Master’s degree was in Fundamental Mathematics and was undertaken at Université Lille 1, France.

Jocelyne successfully defended her PhD thesis in May 2019.

Research interests

Jocelyne's research expertise is in algebraic topology and stable homotopy theory. Her PhD project addresses the subject of rigidity in stable homotopy theory.   

Professional

Articles, Papers, and Preprints

Please see https://arxiv.org/abs/1807.03175

Awards and Prizes

Jocelyne was selected by the Scientific Committee of the Heidelberg Laureate Forum Foundation to participate in the 5th Heidelberg Laureate Forum held 23-29 September 2017. An LMS Travel Grant contributed towards the travel costs for this event.  

Presentations, Posters and Conferences

Jocelyne was a speaker at the 33rd British Topology Meeting (BTM33) held at the Open University, Milton Keynes, 4-6 September 2018. Her talk was entitled New case of rigidity in stable homotopy theory.
She presented Is the K(1)-local stable homotopy category rigid? at a Geometry and Topology seminar held at the University of Glasgow on 29 January 2018, and at Transpennine Topology Triangle (TTT 105), Sheffield, 24 January 2018.

Jocelyne was selected to participate in the European Talbot Workshop, 11-17 June 2017, at Geestland, Germany. This workshop enabled a small group of early career researchers to advance understanding of various duality phenomena in algebra, geometry, and topology. She presented Introduction to the homotopy category of spectra at this event.

Jocelyne presented Stable Model Categories at the ECSTATIC 2016 conference on 13 June 2016, held at Imperial College.   

Publications

Article

  • Ishak, J. (2019). Rigidity of the $K(1)$-local stable homotopy category. Homology, Homotopy and Applications [Online] 21:261-278. Available at: https://doi.org/10.4310/HHA.2019.v21.n2.a14.
    We investigate a new case of rigidity in stable homotopy theory which is the rigidity of the K(1)-local stable homotopy category Ho(LK(1)Sp) at p=2. In other words, we show that recovering higher homotopy information by just looking at the triangulated structure of Ho(LK(1)Sp) is possible, which is a property that only a few interesting stable model categories are known to possess.
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