MATH

My name is Kristýna Kramer, but I wrote most of my mathematical research papers under my former name, Kristýna Zemková.

My research interest is in quadratic forms, mainly over fields of characteristic two, but also in the number-theoretical settings. Apart from research, I am interested in finding ways how to teach mathematics better, both at high school and university level.

Portrait photo from a hike (Canada)
By the Mystic Lake [2000 m] in the Rocky Mountains (Canada)

Former research positions

From June to December 2025, I was a postdoc in the research group of Vítězslav Kala in Prague. In 2023—2024, I held a two-year PIMS Postdoctoral Fellowship: I spent the year 2023 at University of Alberta working with Stefan Gille. From January 2024 to August 2024, I was working with Stephen Scully at University of Victoria.

Education

In December 2022, I finished my PhD at TU Dortmund under the supervision of Detlev Hoffmann. My thesis was on quadratic forms over fields of characteristic two and quasilinear p-forms, with the focus on the equivalence relations of these forms.

I did my Bachelor's and Master's degree at the Faculty of Mathematics and Physics at Charles University in Prague. My Master's thesis, written under the supervision of Vítězslav Kala, was on composition of integral quadratic forms and Bhargava's cubes over number fields. Additionally, I was involved (together with M. Čech, J. Krásenský, J. Svoboda and M. Tinková) in a student's research group with interests mainly in universal properties of integral quadratic forms.

During my Master's, I spent two semesters abroad: in Spain at UPC (in Barcelona), and in Germany at TU Darmstadt.

Didactics of mathematics

As I mentioned above, I am interested in improving the ways how mathematics is being taught. My main motivation is that I would like to show the students that mathematics is about understanding, not about memorizing algorithms. In the past, I helped to develop new study materials on high school mathematics: I am a co-author of two advanced high school textbooks published by a significant Czech publishing house Didaktis; one on complex numbers, matrices and basic calculus (published in 2019) and another one on progressions (published in 2018). I was also involved in developing new interactive materials for Techambition; the aim is to encourage high school students to develop mathematical concepts by themselves rather than to memorize them.


E-mail: kristyna[dot]kramer[at]gmail[dot]com

Curriculum Vitae

ORCID, MathSciNet, Researchgate

Webpage of my husband, Reinier Kramer, who is also a mathematician.

Panoramic view in the Rocky Mountains (Canada)
View from The Big Beehive [2270 m] towards the ski area Lake Louise (Canada)
Kristýna Kramer