I am currently a Postdoctoral Fellow at University of Alberta, working with Jochen Kuttler.

My main research areas revolve around flag varieties and spherical varieties, and in their GIT quotients. I am particularly interested in the topology of the stratification given by orbits of Borel subgroups on spherical varieties.

- Cohomology of line bundles on horospherical varieties, with Narasimha Chary Bonala, to appear in Math. Zeitschrift
- Unstable points for torus actions on flag varieties, arXiv:1709.05942
- On differential operators on complete symmetric varieties of type A1 and A2, J. Algebra 518 (2019) 343-383

- CV (french)(english)
- PhD Thesis : Study of global differential operators on some projective algebraic varieties, written under the supervision of Alexis Tchoudjem and Olivier Mathieu at Institut Camille Jordan, defended in december 2016 (written in french)

- Lectures: MATH125 Linear Algebra I (fall 2019)
- Lectures: MATH114 Elementary Calculus I (fall 2018)
- Exercise sessions: Maths 2 (spr. 2017)
- Exercise sessions: Fundamentals of Mathematics I (fall 2016)
- Exercise sessions and oral exams: Algebra I "cursus prépa" (fall 2015)
- Exercise sessions: Matrix Calculus and Applied Linear Algebra II (spr. 2014)
- Exercise sessions: Mathematics Basic Techniques (spr. 2014)

- Grothendieck motives (spr. 2019)
- Introduction to spherical varieties (spr. 2018)
- Kazhdan-Lusztig polynomials and Schubert varieties (fall 2017)
- Arakelov geometry and analytic torsion (spr. 2017)
- PhD students reading group on elliptic curves (2016-2017)
- Lectures on Algebraic Cycles by S. Bloch (2016-2017)
- Introduction to reductive group schemes (fall 2016, fall 2017)
- Vector bundles, buildings and stability (spr. 2016)
- Algebraic topology and computations (fall 2015)
- Riemann-Hilbert correspondence (spr. 2014)
- Cluster algebras and applications (2013-2014)

Office: CAB 586

Department of Mathematical and Statistical Sciences

632 Central Academic Building

University of Alberta

Edmonton AB T6G 2G1

Canada

E-mail : dejonche(at)ualberta.ca