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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
Ilse Fischer

Ilse Fischer

Born in Klagenfurt, Austria • Birth year 1975 Studied Mathematics at the University of Vienna in Austria • PhD in Mathematics from the University of Vienna Austria • Lives in Vienna, Austria Professor of Mathematics and Vice-Dean, Faculty of Mathematics, University of Vienna

I was drawn to maths not because of my background, but because it came naturally. I loved being good at maths. Even though my father was a university professor in math education, he never pushed me into this field.

My inspiration instead came from the simple content we learned at school. I enjoyed mathematics as a creative process with very strict rules and gained immense satisfaction from overcoming these rules to achieve success. If I am perfectly honest, another reason was that I was just really good at maths in school, which boosted my ego. I enjoyed it when my peers asked me for help.

My Career Path – Between Klagenfurt and Vienna

After studying mathematics for 5 years at the University of Vienna, I returned to my hometown, Klagenfurt. I really appreciated the relaxed pace of living in Klagenfurt compared to Vienna. The position was in applied mathematics, with a focus on optimization. Optimization in mathematics refers to calculations identifying the best solution among a set of alternatives, such as the quickest route via train from Vienna to Paris if one transfers at a third train station. This was quite different from my original focus on pure mathematics.

To me this offer in pure mathematics was akin to winning the lottery, which is why there was no question that I would return to Vienna.

During my time in Klagenfurt, my mathematical taste was strongly shaped by my professor, who, like me, really enjoyed mathematical problems that are easy to state but hard to solve.

After a few years in Klagenfurt, I ended up back in Vienna having an offer for a postdoctoral position. To me this offer in pure mathematics was akin to winning the lottery, which is why there was no question that I would return to Vienna. Here, I returned to my initial field of pure mathematics. My specialty now is enumerative combinatorics. In enumerative combinatorics, our job is to count possibilities such as how many ways can you shuffle a deck of cards or how many different routes exist between two points in a grid.

Why Combinatorics?

Combinatorics used to be a bit of an underdog in mathematics.

What I love about combinatorics is that the problems are very easy to state, but hard to prove. Furthermore, it’s a very accessible field that does not require extensive reading in order for doctoral students to start working in it.

Combinatorics used to be a bit of an underdog in mathematics. However, it is valuable for applications in diverse fields such physics and statistics, and therefore now seems to have become a rising star, which I find really satisfying to witness.

Some people, not least my father, ask why I chose pure mathematics over applied mathematics. What drives me particularly in pure mathematics is the aesthetic aspect, the desire to do something nice. I also really enjoy working on blue skies research (where the immediate applications are not yet known) and chasing deep discoveries. This can lead to revolutionary and useful outcomes in the long run that we can’t even predict at the time of doing the work, which feels very inspiring.

My Advice to other Mathematicians

My advice to others would be to always follow your own taste and concentrate on your chosen field. I believe success comes from motivation rather than pressure.

Yet over time, I started to appreciate that a very satisfying aspect of mathematics is establishing intellectual connections with other people.

My second piece of advice is to forge intellectual connections and work collaboratively. I started out working alone, partially because, when I was applying for positions in the early 2000s, people looked closely at whether you had single-authored papers. It was also what suited me best at the time, probably due to the fact that I was a woman in a male-dominated field. Yet over time, I started to appreciate that a very satisfying aspect of mathematics is establishing intellectual connections with other people.

My Thoughts on Women in Mathematics

When it comes to the struggles of women in mathematics, I do believe a contradiction exists. I am on a lot of hiring committees, and I have observed that if women publish with other people, the committee members often end up saying, “Well, she didn’t do it.” And I find it incredibly frustrating that this still happens.

This is why I would say as a female mathematician, a smart choice is going for a balance of single-author papers and collaborations. But maybe more importantly, you should do what you think suits you best.

I hope that we will get to a point in the future where a woman can be an excellent mathematician without it being remarked upon as something out of the ordinary.

Another aspect about being a woman in mathematics that frequently causes me irritation is that people feel very surprised when they find out that I am a mathematician. When they hear this, they usually assume that I’m a high school teacher. Then they find out that I’m a professor and are even more surprised. I don’t think that’s good news, and I do think that this is just down to my gender.  While it creates some funny situations, it shouldn’t be the case in 2025.

I hope that we will get to a point in the future where a woman can be an excellent mathematician without it being remarked upon as something out of the ordinary.

Published on November 12, 2025.
Photo credit: Joseph Krpelan

Posted by HMS in Stories
Mihyun Kang

Mihyun Kang

Born in Jeju, South Korea • Studied Mathematics Education at Jeju National University in Jeju, South Korea • PhD in Mathematics from Korea Advanced Institute of Science and Technology (KAIST) in Daejeon, South Korea  • Lives in Graz, Austria • Full Professor at Graz University of Technology (TU Graz)

In a way, becoming a Professor of Mathematics was probably always on the cards for me. Even as a child, the only subject I remember enjoying at school was mathematics and so pursuing higher education in this field felt natural.

I had both my parents’ support and encouragement to pursue this path in life. My father, a professor himself, gave me an early insight into the profession and all it entails. What I saw was mostly positive and so it was maybe no big surprise that I ended up in academia as well.

After finishing my PhD in 2001, I made my way to Berlin, Germany, to become a Postdoc at Humboldt University. Almost everything there – maths, academic culture, language, people’s attitude, as well as everyday life outside the university – was new and sometimes challenging to me, but I loved it. In this new world I could be what I was, without feeling the need to try to overly adjust myself to the standards and expectations of society.

I spent ten years in Germany, managing to progress from a postdoc to Heisenberg Fellow and then to Acting Professor at the University of Munich. I also used this time to learn the German language, which I now speak fluently. But I must say it took quite a few years to be able to teach in German, because the language of maths research is English and I taught only small Master’s courses, also in English.

Only later, when I started to teach Bachelor’s courses in German for engineering students and took part in academic administration as a Senate member of TU Graz, did I become more confident in using German in teaching and daily discussions.

I believe my approach of bridging multiple fields has contributed greatly to my career success, as it allows me to be more inventive and recognise patterns among seemingly different objects and mathematical behaviours that can only be discovered by thinking in an interdisciplinary manner.

For the past 13 years I have been a full professor at TU Graz in Austria, where I lead the Combinatorics Group. In my work, I draw inspiration from many neighbouring disciplines. My main research is centered around the phase transition phenomenon, partly because it appears in many different disciplines, including combinatorics, discrete probability, computer science, statistical physics, and network sciences. In fact, this phenomenon is almost everywhere including daily life, e.g., the change from ice to water and then to gas. 

I believe my approach of bridging multiple fields has contributed greatly to my career success, as it allows me to be more inventive and recognise patterns among seemingly different objects and mathematical behaviours that can only be discovered by thinking in an interdisciplinary manner.

Doing research in mathematics involves a lot of collaboration with mathematicians from all over the world. I greatly enjoy discussions with mathematicians from different mathematical and cultural backgrounds.

Although mathematics may appear too abstract and detached from real life to most people, everybody has been exposed to hot topics such as digital security or artificial intelligence, which, in fact, rely heavily on progress in mathematics.

In addition to being part of this international network, my participation in the SFB (Research Network) “Discrete random structures: enumeration and scaling limits” – supported by a science and research funding organization in Austria – gives me a rewarding opportunity to forge closer collaborations with mathematicians coming from top universities in Austria. This research network brings together researchers from the fields of combinatorics and probability and even touches on areas such as quantum physics.

Although mathematics may appear too abstract and detached from real life to most people, everybody has been exposed to hot topics such as digital security or artificial intelligence, which, in fact, rely heavily on progress in mathematics. I therefore strongly believe that maths is invaluable to our society and a field worth pursuing a career in.

Published on September 3, 2025.
Photo credit: TU Graz

Posted by HMS in Stories