Month: January 2026

28
Jan
2026
Nishu Kumari

Nishu Kumari

Born in India • Birth year 1996 • Studied M.Sc in Mathematics at the Indian Institute of Technology Kanpur • PhD in Mathematics from the Indian Institute of Science (IISc) • Lives in Vienna, Austria • PostDoctoral Researcher at the University of Vienna’s Faculty for Mathematics

I grew up in a village of Haryana, a state in Northern India. I was drawn to maths from an early age because I was good at solving maths problems. After completing college education from Haryana, I successfully passed the entrance exam for a prestigious institution in India, IIT (Indian Institute of Technology) Kanpur,  to pursue a Master’s degree in Mathematics. Since the exam is highly competitive, I consider being admitted to this institution as one of my greatest achievements.  

During my stay at IIT, I realised that maths is more about testing your understanding of concepts and less about calculations. That’s when I also realised grasping a mathematical idea gives me immense satisfaction and decided to study mathematics at a higher level.

Before my entrance exam I wasn’t even sure I would be able to rank highly enough to be admitted. It was a very big moment for my entire family when I did as I was the first person in my family to get admission at IIT . We never imagined that this would even be possible.

During my stay at IIT, I realised that maths is more about testing your understanding of concepts and less about calculations. That’s when I also realised grasping a mathematical idea gives me immense satisfaction and decided to study mathematics at a higher level. I joined the Indian Institute of Science (IISc) for my Ph.D.

After completing my doctoral studies last year, I am currently working as a postdoctoral researcher at the University of Vienna, Austria. I am part of a large research group focused on discrete random structures with my personal focus being on algebraic combinatorics. 

Algebraic combinatorics uses tools from algebra to solve problems in combinatorics, thereby acting as a bridge between the tangible world of counting objects and the abstract world of formulas. For instance, by using algebraic combinatorics we can solve everyday problems such as organising wedding seating charts where certain guests must sit together or better be kept apart, drawing up sports schedules where every team plays each other exactly once, or designing music shuffle algorithms that feel truly random by avoiding song groupings from the same artist.

I feel that many women, especially in India, might not know what exactly having a career in maths actually means or even that they can pursue a career in this field. I believe it is important to tell them that this is an option.

In terms of mathematical research, I have encountered a lot of diversity in Vienna. I have found a lot of great people to collaborate with around me, especially since our research group is fairly large with over 20 members. 

As an Indian woman in mathematics, the environment I trained in featured very few women. It was discouraging sometimes. I feel it would have helped me, if there had been more women doing what I was doing at the time.

I feel that many women, especially in India, might not know what exactly having a career in maths actually means or even that they can pursue a career in this field. I believe it is important to tell them that this is an option.

However, there have been some great ideas and steps to bring more women into existing institutions. I can see that the number of women being admitted into Indian maths institutes is increasing.

Women’s education in general is on the rise. In the village I grew up in, people weren’t keen on  women to study when I was young, but now they encourage  their girls to get an education. This is a rather unexpected side effect of the rising cost of living. As a result, women are now encouraged to pursue paid work.  

My dream for the future is to first build a career in academia. In future, I would like to return to India and work to inspire more Indian women to get involved in maths. This is my way of trying to help future generations of Indian women be more represented if they choose mathematics as their career path. 

Published on January 28, 2026.
Photo credit: Shivangi

Posted by HMS in Stories
14
Jan
2026
Lisa Hefendehl-Hebeker

Lisa Hefendehl-Hebeker

Born in Germany • Birth year 1948 • Studied Mathematics at the Universities of Münster and Tübingen • Habilitation in Mathematics • Lives in Düsseldorf, Germany • Senior Professor of Mathematics Education at the University of Duisburg-Essen

I enjoyed math at school because I was good at the problems and really liked the inner clarity and regularity of the subject.

The transition to university mathematics was extremely difficult for me at first because I had to overcome a huge gap. But after a year, I made a breakthrough, and from then on, I gained a foothold and my appreciation for the subject grew steadily. 

I had my first experience of deep amazement when I was preparing for a linear algebra exam. When studying Jordan normal forms, I suddenly realized what a magnificent overview this provided of what initially seemed to be an overwhelming variety of matrices, and what potential mathematical theory formation can unfold in terms of intellectual organization.

The interplay between mathematical content and questions and observations about how people deal with it in work processes was to become an important guiding principle for my future career

In the second part of my studies, I had the opportunity to participate in a working group led by my future doctoral supervisor I and was able to listen to the insider communication between advanced members. This gave me important insights into what motivates professional mathematicians—which questions they find interesting and which methods and results they consider remarkable, how they base their assessments on these, but also which informal, often metaphorical means of communication they use in the run-up to formally elaborate representations. These experiences have greatly enriched my relationship with mathematics. The interplay between mathematical content and questions and observations about how people deal with it in work processes was to become an important guiding principle for my future career.

It so happened that I was assigned a dissertation topic that also involved a classification problem (four-dimensional quadratic division algebras over p-adic fields), and so a bow was drawn back to my first experience of admiring a mathematical achievement. While working on this, I also learned how inevitably successful problem solving in mathematics can depend on the favor of a good idea. You can prepare the ground for helpful ideas through persistent work, but you cannot force them. I was very grateful that productive ideas for solutions did eventually come to me in time.

(…) I read a lot of mathematical literature and noticed with regret that, over the course of history, presentations had become more sober and formal, and that human emotions and accompanying epistemological considerations had been largely stripped away in the face of mathematical discoveries

During my doctoral studies, I read a lot of mathematical literature and noticed with regret that, over the course of history, presentations had become more sober and formal, and that human emotions and accompanying epistemological considerations had been largely stripped away in the face of mathematical discoveries. The more I missed this aspect, the more my interest grew in the question of how mathematical knowledge develops in an individual, what thought processes and attitudes play a role in this, and how consciousness is refined during these processes. These were the reasons why I turned to mathematics education after completing my doctorate, and fortunately, life gave me the opportunity to make this field my profession.

After a long career, I am convinced that at every level of learning, it is possible to create an authentic picture of mathematics and convey an impression of how mathematics forms its own world of well-ordered structures with a striking internal consistency, and how this is precisely what makes it so effective in applications.

Published on January 14, 2026.

Photo credit: FAU/Ianicelli/Aslanidis

Posted by HMS in Stories