Academy postdoc researcher

University of Helsinki

Biography

I am an academy postdoc researcher at the University of Helsinki. Between 2019-2022 I was a postdoc at SISSA. I completed my PhD in 2019 at the University of Jyväskylä under the supervision of Enrico Le Donne.

My work mainly deals with sub-Riemannian geometry and computational mathematics. On the sub-Riemannian side of things I am particularly interested in Carnot groups and everything related to the so called abnormal curves, whose properties are the topic of interest of open problems such as the regularity of geodesics and the Sard problem. Within the computational realm I am mainly interested in applications within pure mathematics such as exact computation (e.g. in real algebraic geometry) or developing methods and tools to aid in finding new and interesting examples. My computer algebra system of choice is the free open-source project SageMath.

Interests

  • Sub-Riemannian geometry
  • Computational mathematics
  • Lie theory
  • Carnot groups
  • Metric geometry
  • Control theory

Education

  • Doctor of philosophy, 2019

    University of Jyväskylä

  • Pedagogical studies in education (mathematics subject teacher), 2016

    University of Jyväskylä

  • Master of science, 2015

    University of Jyväskylä

  • Bachelor of science, 2013

    University of Jyväskylä

Publications

(2022). Gradings for nilpotent Lie algebras. J. Lie Theory.

PDF Code Journal of Lie Theory arXiv Online

(2022). Cut time in the sub-Riemannian problem on the Cartan group. ESAIM: COCV.

PDF ESAIM: COCV arXiv

(2022). Blowups and blowdowns of geodesics in Carnot groups. To appear in J. Differential Geom.

PDF arXiv

Talks

Sub-Riemannian abnormal extremals
Carnot groups and abnormal dynamics
Infinite geodesics in Carnot groups
A metric viewpoint to sub-Riemannian optimal control
Isometric embeddings in Carnot groups of step 2

Teaching

Previous courses at University of Jyväskylä:

Previous teaching assistant duties at University of Jyväskylä:

  • MATA114 Differentiaaliyhtälöt (Summer 2016)
  • MATP170 Approbatur 3 (Spring 2014)
  • MATP121 Lineaarinen algebra ja geometria 1 (Fall 2013)
  • MATY010 Matematiikan propedeuttinen kurssi (Fall 2013)

In the 2015–2016 academic year I completed a formal 60 ECTS credit qualification for mathematics subject teachers at the University of Jyväskylä. This consisted of both theoretical pedagogy studies and practical experience of planning and giving courses and individual lessons. During this time I taught mathematics for:

  • Elementary school students in grades 7–9 (ages 13–16)
  • High school students (ages 16–19)
  • JAMK University of applied sciences

Contact