Kinga Sipos
Ph.D. student @ Universität Bern (UNIBE)
since 10/1/2014 for 12 months.
under the supervision of Prof. Balogh Zoltan
Research
I pursue a PhD in mathematics at the University of Bern in the subject of Geometric Measure Theory and Geometric Analysis on Subriemannian Manifolds. I am studying geometric inequalities in the setting of Heisenberg group with the method of optimal mass transportation.
Network-wide training activities:
- [Workshop] Geometric Analysis in the Heisenberg group - March 4-6, 2015 Bologna, Italy
- [Workshop] Geometric mesaure theory, optimal mass transportation and PDEs - June 15-19, 2015 Sant Feliu de Guíxols, Spain
- [Workshop] Optimal Transport and Geometry - June 22-26, 2015 Montpellier, France
Organization activities:
- [Workshop] Sub-Riemannian Analysis, PDE and Applications - January 26-30, 2015 Berna, Swiss
Outreach:
- [Course] Mathematical Analysis III - a.a. 2015-2016 Berna, Swiss
- [Course] Differential Geometry - I Semester 2015/16 Berna, Swiss
- [Course] Mathematical Analysis III - a.a. 2016-2017 Berna, Swiss
- [Course] Differential Geometry - 2017 Spring Unibe, Bern
Talks and Poster Presentations:
- [Talk] Geometric inequalities on the Heisenberg group at Mid-term Review Meeting - December 9, 2015 Helsinki, Finland
- [Talk] Jacobian Determinant Inequality on Corank 1 Carnot Groups at 27th Jyväskylä Summer School and MAnET-miniworkshop - August 7-18, 2017 Jyväskylä, Finland
- [Talk] Jacobian Determinant Inequality on Heisenberg Groups at Sub-Riemannian Geometry Harmonic Analysis, PDE and Applications - January 24-27, 2018 Bologna, Italy
Secondment:
- Univeristy of Jyväskylä - June 1 to August 30, 2017 Jyväskylä, Finland
Publications and Preprints
- Z. Balogh, A. Kristály, K. Sipos, Geodesic interpolation inequalities on Heisenberg groupsInégalités d'interpolation géodésique sur les groupes de Heisenberg on Comptes Rendus Mathematique Vol 354 Elsevier 2016 pp. 916-919
- Z. Balogh, A. Kristály, K. Sipos, Geometric inequalities on Heisenberg groups on Calculus of Variations and Partial Differential Equations Vol 57, Issue 2 Springer Berlin Heidelberg 2016 pp. 1-41 (article n° 61) open access version
- Z. Balogh, A. Kristály, K. Sipos, Jacobian determinant inequality on Corank 1 Carnot groups with applications preprint
- K. Sipos, Geometric inequalities on the Heisenberg group report
- K. Sipos, Geometric inequalities on the Heisenberg group report
- K. Sipos, Jacobian Determinant Inequality on Heisenberg Groups report
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