DecisionMaking

12
Jul
2023
Gitta Kutyniok

Gitta Kutyniok

Born in Bielefeld, Germany • Birth year 1972 · Studied Mathematics and Computer Science at University of Paderborn in Germany • Highest Degree Habilitation in Mathematics • Lives in Munich, Germany • Occupation Professor for Mathematical Foundations of Artificial Intelligence

I had never planned to become a professor of mathematics, and if someone had told me when I was young, I would have said: This is impossible. Due to my excitement for mathematics in school and the fact that my mother and my grandfather were both teachers, I first wanted to become a high school teacher myself. And this is how I then started my studies, choosing computer science as a minor. Although the change from high school mathematics to university mathematics was difficult and required a lot of hard work, I enjoyed my studies very much. I however could not get excited about didactics for high school teaching, hence I switched to diploma studies in mathematics. And since at the University of Paderborn, it was quite easy to pursue a diploma in computer science at the same time, I enrolled in this as well.

(…) In retrospect, this period trained me to follow my own path and be very independent.

In my last year, a professor working in abstract harmonic analysis approached me with an offer for a Ph.D. position. I was hesitant about whether this was the right career path for me. Eventually, I accepted the offer but quickly realized that not pure mathematics was my passion but applied mathematics. Hence, in agreement with my supervisor, I chose a more applied topic and got assigned a second supervisor in Munich. This arrangement was not optimal. However, in retrospect, this period trained me to follow my own path and be very independent.

One of the reviewers of my Ph.D. thesis then offered me a position as a Visiting Assistant Professor at the Georgia Institute of Technology. Since I was hesitant about what to do next, I embraced this opportunity, taking it as a chance to see whether I am good enough for continuing as a post-doc. My time as a Visiting Assistant Professor was again hard, since I had never taught a course before, and I now even needed to teach in English. But research-wise a whole new world opened to me; having now collaborators with similar interests as myself, namely the area of applied and computational harmonic analysis. I then spent another year in the US with a research fellowship at both Washington University in St. Louis and again at the Georgia Institute of Technology. It was a very productive time for me, leading to a Habilitation in Mathematics at the University of Giessen in Germany.

I overcame my shyness and approached [some professors in the US whose work I had always admired] for an invitation (…).

Due to the uncertainty of obtaining a professor position in Germany, I applied for a Heisenberg Fellowship from the German Research Foundation to visit some professors in the US, whose work I had always admired. I overcame my shyness and approached them for an invitation and eventually got the amazing chance to visit first Princeton University, then Stanford University, and finally, Yale University, learning about new research areas such as compressed sensing.

Returning to Germany, I started as a full professor at the University of Osnabrück. This was a very fulfilling experience, and I loved building up my own research group. However, it was a very small department, and finding good students was hard, and I soon started looking for other positions.

I was again lucky and was offered an Einstein Chair at the Technical University of Berlin. Soon after, the advent of deep learning started and affected my research area significantly. I decided to embrace this paradigm shift and delve research-wise into artificial intelligence. Looking back, this was one of the best decisions in my life.

For the first time, I am now not the only female professor in my department.

This might have also led to a personal offer from Ludwig-Maximilians-Universität München for a Bavarian AI Chair for Mathematical Foundations of Artificial Intelligence, which I was surprised and delighted to receive. Due to the excellent conditions for AI research in Munich and Bavaria, I accepted the offer and moved to Munich. For the first time, I am now not the only female professor in my department. In fact, I have several wonderful female colleagues, which is an entirely new experience for me.

In general, I learned in my career that one should be open to opportunities, as they often arise unexpectedly, and also not be shy to approach colleagues for advice and help. If you ask whether being a woman has impacted me in my career, I have to say that the first time I realized that one is treated differently was when I became a professor. As committee meetings increased, I learned the hard way that men do not behave better or worse, but just differently. Looking back, a course on gender-specific behaviors in professional environments, as it is, in fact, custom for higher positions in industry, would have helped significantly.  On the other hand, I also had and still have several amazing male colleagues who support me tremendously, also with advice, and I am deeply grateful to them.

Posted by HMS in Stories
16
Mar
2022
Constanza Rojas-Molina

Constanza Rojas-Molina

Born in La Serena, Chile • Birth year 1983 • Studied Mathematics at Universidad de La Serena in Chile and at Université Pierre et Marie Curie – Paris VI in France • Highest Degree PhD in Mathematical Physics from Université de Cergy-Pontoise, France • Lives in Paris, France • Occupation Lecturer at the CY Cergy Paris University

I was a late starter in maths. As a child, I was always curious and interested in many things, I was an avid reader and spent a considerable amount of time drawing. During highschool, I learnt about physics and chemistry and I was hooked on the quantum world. There, all the intuition was lost and the usual rules of physics didn’t apply anymore, it was fascinating, like Alice in Wonderland! But even then, maths was not among my main interests. I never made a connection with physics or chemistry. I knew it was something useful and necessary to know, but I always kept it at a reasonable distance. You would never see me solving maths exercises for fun. Why would I, when I had a pile of comics and books to read and stories to draw?

I discovered operator and spectral theory, functional analysis and the maths of quantum and statistical mechanics. And it was beautiful.

It was only when I entered university that my view of maths changed. University maths were something completely different. My hometown is a region of Chile known for its clear skies, suitable for observational astronomy. It’s where the first telescopes in Chile were built. So, since I didn’t have the resources to travel to the capital to study, studying physics at the local university seemed like a good fit. With all the innocence that the age of 17 could give me, I thought: if I’ll ever amount to anything, it shouldn’t matter where I start.

So, I decided to stay home and enroll in the local university physics program. The first two years of this program were in common with the maths program, and by studying physics I realized that maths was connected to many things and was very important. So important that at some point after two years I thought: I can’t continue this without having a good understanding of maths (I would have made a terrible physicist). During those two years, I found beauty in the clarity of maths. I got a first glimpse of the elegance of proofs and the usefulness of drawing the picture to go with it. I discovered operator and spectral theory, functional analysis and the maths of quantum and statistical mechanics. And it was beautiful. I was excited to be able to study physics problems from a rigorous and clear point of view.

I went to Paris, without knowing anyone, with no grant and no connections whatsoever.

So excited that I didn’t stop when I finished my undergraduate studies. I went to Paris, without knowing anyone, with no grant and no connections whatsoever. With all the courage that ignorance can give. Ignorance of the country, of the system, of how academia works. That ignorance and the support of my family made me brave enough to cross the ocean looking to satisfy my curiosity.

It’s been many years since that happened. I did my Master’s in Paris and then continued with a PhD in mathematical physics. I successfully applied to a Marie Curie Fellowship of the EU to do a postdoc in Munich. Then I did a postdoc in Bonn. Then I was a Junior Professor in Duesseldorf, I was a DFG (German Research Foundation) grant holder, I supervised students. I still do. Now I’m back to France as a lecturer. I’m also an illustrator and for the past years I’ve been focusing on mathematical communication.

This is my mathematical adventure (…). And I say adventure because this was clearly a detour, as I was supposed to become an illustrator. Now I’m both.

Looking back, I am aware now that I was a total outsider. I made my way through it and became part of the system, taking an unusual path and building my own alternative journey. Academia is tough, it’s elitist, it’s traditionalist, it’s conservative, it’s a lonely place and can lead to a lot of frustration when one does not entirely fit. It’s easy to get lost in the bad thoughts when there is no support for those that don’t follow a straight path. However, I’ve met some wonderful people along the way who helped me build my path, collaborators, and friends, and with them I’ve been able to experience the part of the job that is about connections. Connecting ideas, connecting with colleagues, connecting with students, connecting with people. That is the best side of this job, and I’m grateful for that. This is my mathematical adventure, it has ups and downs and cliffhangers and suspense, and some teary moments and some funny ones. And I say adventure because this was clearly a detour, as I was supposed to become an illustrator. Now I’m both.

I like to remember how my mathematical adventure started, because it helps me feel connected with my most essential motivations. My motivations weren’t to be a tenured professor, or a group leader, or get all the grants. My motivations were to discover and enjoy the act of discovering.

Posted by HMS in Stories
24
Nov
2021
F. Ayça Çetinkaya

F. Ayça Çetinkaya

Born in Ankara, Turkey • Studied Mathematics at Ankara University, Turkey • Highest Degree PhD in Mathematics from Mersin University, Turkey • Lives in Rolla, MO, USA • Occupation Associate Professor of Mathematics at Mersin University Turkey / Visiting Scholar at Missouri University of Science and Technology

“What is behind your decision to undertake a doctorate?” That was the question I was asked during my PhD interview. I remember myself saying “I feel like I’ve got more to offer as a mathematician and I am really passionate about learning more.” This was almost ten years ago. After that interview, I started my PhD, finished it four years later and learned a lot.

Luckily, I was persistent enough to keep going until that magical moment of realization had arrived. It was like finding the missing piece of a puzzle (…).

Not until the end of my second year at college did I become aware of the fact that I was going to be an academic. To be honest, after high school, when I first started studying mathematics, I was feeling insecure about figuring out all those abstract concepts and I found it quite difficult to understand the exact way of conceptualizing. Luckily, I was persistent enough to keep going until that magical moment of realization had arrived. It was like finding the missing piece of a puzzle and feeling relieved when it all came together. 

During my Master’s and PhD, I wasn’t fortunate enough to be surrounded by the most helpful and sympathetic people. I was a young woman who was trying to find her path in a discipline that is not very feminized. However, I had the world’s most encouraging, genuine, and thoughtful family who has always been a great source of support during tiring times. 

Although I do appreciate many things about my job (…) I still try not to define myself by my career.

I am now a visiting scholar at Missouri University of Science & Technology, Department of Mathematics and Statistics. I am enjoying every second of this journey and I am thrilled to be a part of this favorable atmosphere which allows me to develop myself in several important aspects I could not even imagine. My current research is about boundary value problems for differential equations. The study of these types of problems is driven not only by a theoretical interest, but also several phenomena in engineering, physics, and natural sciences can be modeled in this way.

Patience, curiosity, a lot of energy, good manners, courage, and the desire to move forward are the essentials for not only mathematical studies, but also for life itself. Although I do appreciate many things about my job — such as attending national and international conferences, collaborating with other mathematicians, being able to manage my own time, mentoring students, and teaching — I still try not to define myself by my career. I am a true believer of body and mind unity, and as far as I am concerned, exercise is the most crucial part of this agreement. I also have a huge appetite for literature and exploring the world. In the end we all live one life. Why not get the most out of it?

Posted by HMS in Stories
15
Sep
2021
Maylin Wartenberg

Maylin Wartenberg

Born in Braunschweig, Germany • Studied Math (diploma) at the Technical University in Braunschweig, Germany • Highest Degree Doctorate in Math (Dr. rer. nat.) • Lives in Meine, Germany • Occupation Professor at the Hochschule Hannover – University of Applied Sciences and Arts, Department of Business Information Systems, Field of Data Science

Analytical thinking has always been easy for me. Therefore, I enjoyed the rules and patterns that occur in math from early on. Luckily, I recovered quickly after the German high school greeted me with the minimum pass mark “adequate” in the first two math exams in 7th grade. In 9th and 10th grade, we had a very strict “old school” teacher who left a lasting impression. We always had to stand up to greet him, and if you used a swear word in class, you had to wash the glasses in the chemistry room during the next break. He was strict, but he liked me and I learned a lot. In 11th grade I spent a high school year in the US and after this year I wanted to take math as one of my advanced courses. That was a tough decision because all I did at the American high school was statistics whereas in Germany everyone had started with curve sketching. After my return to Germany, the first exam in 12th grade was about this topic. I didn’t know anything about it and I had 6 weeks of summer break to study. A former very kind teacher helped me with the material and I studied by myself and achieved a good mark. That was a major milestone to my decision to study math, since I was able to teach myself the topics of almost a whole school year. But I still wasn’t sure. Math or psychology?

After all the ups and downs you typically encounter during this phase – 3 years for me – I finished my doctoral thesis in math (graph theory) two weeks before my first daughter was born.

Both sounded very attractive to my 19-year-old self. The plans to move to Braunschweig with two of my friends were already settled and I finally chose math because it was giving me a wider range of options on what future opportunities to follow – because I had no clue what to do after my studies at that point. In the beginning we were quite a few students, but in the end only 4 of us were left in pure math – 25% women 😉. I chose most of my courses in abstract math – algebra, combinatorics – and did as little applied math as possible. I really enjoyed the study of group and ring structures and the book Algebra by Serge Lang was always by my side. I already dreamed of becoming a professor myself.

Yet, in the end, the question what to do with all the knowledge I gained crept more and more into my consciousness. That is why I didn’t pursue a strictly academic career, nevertheless I still wanted to secure the option, and chose a PHD position in business at Bosch (formerly Blaupunkt) in Hildesheim. No more group and ring theory, suddenly I had to write code in C++ for algorithms in navigation systems. I had avoided any computer science so far, thus, I was thrown in at the deep end. But I never regretted this step because I discovered that coding is not all at all as difficult as I thought – after all it’s logical – and I learned a lot about working in a bigger company. After all the ups and downs you typically encounter during this phase – 3 years for me – I finished my doctoral thesis in math (graph theory) two weeks before my first daughter was born.

I found the fitting position where I can combine my passion for analytical thinking, my academic background, and my work experience (…).

I stayed home with her and somehow managed the defence of my doctoral thesies with a 5-month-old baby and still deprived of decent sleep. After 8 or 9 months at home, my brain started asking to be challenged again, and I began to apply for jobs in industry. As a young mother I wanted to start part time, but as a woman holding a doctorate in mathematics that was not as easy to get as I hoped. After a long search, including several offers with 40 hours and more, I was finally rewarded by starting a job at VW Financial Services. My one-year-old daughter was able to stay at the company’s own childcare facility and I started with 27 hours a week as a systems analyst in the business intelligence department in IT. In almost 10 years I made my way from analyst, to project lead, to team lead all the way to head of two sub-departments and got enrolled in the management trainee program – most of this in part time including a maternity leave when I had my second daughter in between. Then, suddenly, another option which had gotten a little out of sight but was still a silent dream popped back in.

And that is my way to my current position as a professor in business computing, especially data science. I found the fitting position where I can combine my passion for analytical thinking, my academic background, and my work experience – all of that with the advantage of being my own boss, still doing interesting projects with different companies, giving talks about AI for lay audiences (schools, senior clubs, …), and guiding young people on part of their own story.

Posted by HMS in Stories
01
Sep
2021
Christina Graf

Christina Graf

Born in Vienna, Austria • Birth year 1994 • Studied Mathematics at Graz University of Technology in Graz, Austria • Highest Degree Master’s in Mathematics • Lives in Graz, Austria • Occupation University Assistant at the Institute of Medical Engineering, Graz University of Technology, Graz, Austria

As far as I can remember I have been in love with math. In school, I always did my math homework first, and I actually procrastinated a bit to spend more time doing math without having to move on to further homework. I was interested in many things as a kid and I was always enthusiastic – this enthusiasm never left! But honestly, I did not realize that being a mathematician could be my job description one day. My mom is a teacher -yes math- so I thought about math only from a teaching perspective for a long time. My dad was a radiologist and I considered becoming a doctor myself. I knew what his daily work and workload was like and I was fascinated by this clear boundary setting between „good“ and „bad“ (he specialized in breast cancer detection and divided tumors he found in “the good, the bad, and the ugly”). Funnily, clear decisions also occur in math! So, for a long time my plan was to apply for medical school after graduating from highschool and my parents generously supported me, not only in terms of financing, but – more importantly – emotionally. 

That was the first time I learned about the Fourier Transform – I was so fascinated, I could not stop reading about it!

I was in 11th grade when my mom said, more incidentally: „You know, you always start with your math homework!“. I think she had no idea what she started with that! So, I slightly started thinking: „Could math be an option?“ My social environment was not so supportive, I heard comments like „It is so damn hard, do you want to do it?“ or „Mathematicians just do programming“ (and I hated computers during that time). But I am not a person who is easily influenced and when someone doubts my ability to do something, I usually get in the „I am gonna show them“ mode. During that time I learned that I need to have the faith in myself that others might not have in me! I often sneaked into my mom’s office to read some applied math books and soon she found her missing books on my bedside table. That was the first time I learned about the Fourier Transform – I was so fascinated, I could not stop reading about it!

So my plan changed and my new aim was to go to a technical university. My parents were extremely supportive from day one, believing in me, but also always telling me that I had the option to leave to do something else if math did not turn out to be the right thing. With that in mind, I started university, as motivated as I could ever be, completely oblivious to what will follow. The first months were hard, there is nothing to gloss over here, but not a single second I thought about leaving, I just loved it.

I still enjoyed math a lot, but I got the feeling that I learnt plenty of things „for nothing“ and that I actually wanted to start doing something with it now.

The years went by, I received my Bachelor’s degree with plenty of ups and downs and enrolled in the Master’s program. During this time I was not entirely happy with what I was doing. I still enjoyed math a lot, but I got the feeling that I learnt plenty of things „for nothing“ and that I actually wanted to start doing something with it now. Ultimately, I was unsure if math was still the right subject for me. So, during a Sunday afternoon in the university library where I was unhappy with doing my homework, I scrolled through other institutes‘ webpages, interested in what they do. I spent a few minutes on the webpage of the Institute of Medical Engineering – the curiosity in medicine never left – and there was an open Master’s thesis sounding mathematical, but with an actual application of that. On the next day, I met with the PI (who is my PhD supervisor now) and soon after, I started working on my thesis. I just loved it from day one. I finally felt like being „home“, I could use all the fancy math skills I learned and I could actually utilize them for real-world problems. Eight months and some exams later, I graduated and received my Master of Science in mathematics with specialization in technomathematics. I did not need to think about what to do next for too long, as I knew exactly that I wanted to continue with math. And so I started working on my PhD at the same institute after two months of traveling the world.

I love to do research, to try out new things, to travel to conferences and to get to know like-minded people, and I really enjoy teaching.

For my PhD, I’m working in the field of optimal control for Magnetic Resonance Imaging (MRI). Here, I’m optimizing radiofrequency (RF) pulses, which form the basis of every MRI scan. Goals of the optimization include making the RF pulses shorter, reducing the scan time, and reducing the energy it produces, among others. It allows me to combine mathematical methods with a medical application, namely Magnetic Resonance which is used to obtain images of the human body. During my PhD, my enthusiasm for this subject has not decreased – I grew even more fond of it. I love to do research, to try out new things, to travel to conferences and to get to know like-minded people, and I really enjoy teaching.

At the moment, I have the strong tendency to stay in academia; frankly, I can‘t think about anything else. While writing these lines, we are at the end of the third „Covid-19 wave“ in Austria and I really feel this desire to leave the country and go abroad. Due to Covid, I was not able to travel to international conferences, but as always, this is not an excuse, but a motivation to get going again. I am excited to leave my home and ready to take every opportunity that is presented to me. For the future, I’d like to make the world a little bit better with my knowledge and what I do. Furthermore, I would like to continue sharing the joy of mathematics with my students every day.

Posted by HMS in Stories
12
May
2021
Evelyn Cueva

Evelyn Cueva

Born in Quito, Ecuador • Birth year 1990 • Studied Mathematical Engineering at Escuela Politécnica Nacional in Ecuador • Highest Degree Ph.D. in Mathematical Modelling at Universidad de Chile • Lives in Quito, Ecuador

As a child, I did not dream of being a mathematician or a scientist; there was a total absence of that role model in my environment. My parents worked very hard so that my brothers and I could attend university. We would be the first generation to obtain a Bachelor’s degree. Living in the countryside and being surrounded by animals shaped me to study agronomy or veterinary medicine. However, my ability in mathematics motivated me to explore a career more related to numbers and abstract thinking.

Since I was a primary school kid, I have enjoyed math homework. I liked to think and invent my own problems. In high school, I was more interested in verbal math problems. I liked the process of “translating” these problems into equations. Despite my taste for mathematics, it was not until my last year of high school that I discovered a career opportunity in mathematics while reading the academic offer of a university. I did not know anyone who studied that subject or that there were jobs for mathematicians. My naive idea was that surely a mathematician knows everything about mathematics, and that caught my attention. One of the first options I considered was studying math to be a good math teacher. During my last year of high school I liked teaching math to my classmates. I was motivated by the idea of transmitting knowledge and helping others to look at problems more naturally.

Everything made sense and brought me back to what I enjoyed as a child: real-life problems translated into equations.

Once I enrolled in university, studying mathematics to be a teacher no longer seemed like a good idea. I realized that high school teachers study pedagogy and that was far from my personal interests. After exploring other options within the same university, I hesitated between chemical engineering and mathematical engineering; both attracted me a lot. The chemistry degree had a high component of physics, and I did not like it enough to study it for so long. I decided to follow mathematical engineering, even with many doubts about its usefulness. It was a kind of blind confidence that I would enjoy it very much.

University was challenging; it was a world that I mostly traveled blindly. The most abstract courses were meaningless to me because although they were fascinating and beautiful on their own, I did not know how they could be used in work life. It was only at the end of my studies that everything became a little clearer. When I did my undergraduate thesis, I connected the theory that I had studied with the world of applications. I understood why we need to seek solutions, guarantee their existence, and analyze their regularity. Everything made sense and brought me back to what I enjoyed as a child: real-life problems translated into equations.

I always had a particular interest in photography, but discovering the physical and mathematical models behind acquisition, reconstruction, and post-processing was something I did not want to stop learning about.

I worked on my undergraduate thesis with Juan Carlos De los Reyes, whom I thank for introducing me to the world of images. I always had a particular interest in photography, but discovering the physical and mathematical models behind acquisition, reconstruction, and post-processing was something I did not want to stop learning about. Since I had just found my passion, I opted for a Ph.D. program to learn more about it. I leaned towards the area of inverse problems, and in particular the modeling and reconstruction of images related to biomedicine. I most enjoyed simulating and visualizing ideas after writing them down on paper. 

This Ph.D. brought me extraordinary experiences such as visiting new places, meeting collaborators from other countries, having an excellent scientific community, just to mention a few. However, there were also challenges along my way: living away from my family, adapting to a new culture, not speaking in my native language, and dealing with frustrations and insecurities when things did not go as expected.

I wish that more and more women feel empowered to study engineering or science and do not rule it out as an option based on stereotypes.

A year ago, I finished my Ph.D. in mathematical modeling in Chile. After some post-PhD experiences as a research associate at the academy in Ecuador, my native country, I will start a postdoc at Millennium Nucleus for Applied Control and Inverse Problems in Chile this month. Although I enjoy teaching, I am happy for this new position dedicated more exclusively to do research.

As a woman, I have been able to feel equal within my workgroups. I was always the only woman, but that has never made me feel less worth than any of my male peers. I wish that more and more women feel empowered to study engineering or science and do not rule it out as an option based on stereotypes. Fortunately, nowadays, we can meet more women, we can look at them as our role models, and we can be role models for the next generations.

Posted by HMS in Stories
05
May
2021
Ellese Cotterill

Ellese Cotterill

Born in Newcastle, Australia • Studied Advanced Mathematics at the University of New South Wales in Sydney, Australia • Highest Degree PhD in Computational Neuroscience from Cambridge University, UK • Lives in Sydney, Australia • Occupation Data Scientist

From as early as I can remember, I was always interested in maths and numbers. My grandad used to tell the story of me as a young child adding up the numbers on the back of buses on the way to pick up my sister from school. At school, maths was my favourite subject and something that I found came easily to me. When I finished high school, I really didn’t have any clear idea of what I wanted to do as a career, which made picking a university degree difficult. I wanted to do something where I felt like I was positively contributing to society, and a job in a medical field seemed like an obvious choice. For a while I considered medicinal chemistry, but being in a lab was never very appealing to me. In the end I decided to study something I knew I enjoyed, and so I enrolled in an advanced mathematics degree. My parents were quite confused why I didn’t choose a degree with a defined profession such as medicine or law, and questioned me about what kind of career I could have after studying mathematics. I didn’t have a good answer for that, but felt confident that if I did something I enjoyed, the career aspect of things would work itself out later.

(…) My grandmother was suffering from Alzheimer’s disease, so the possibility of making a contribution in that area by studying the brain was very appealing.

In my second year of undergraduate study I discovered the subject of biomathematics, which involves using quantitative methods to study the biological world. I found it really interesting, and ended up doing my honours project in the field, modelling molecular diffusion in cells. When I came to the end of my degree, however, there still wasn’t an obvious career path for mathematics graduates. Careers days were dominated by financial institutions, and I ended up accepting a position as a quantitative analyst at a large investment bank. It only took me a few months to realise this wasn’t the right path for me, and I started looking for other opportunities. I’d enjoyed the research aspect of my honours year, and so thought a PhD in a field like biomathematics could be a good option. There wasn’t much research happening in Australia in this area, but I read a lot coming out of UK universities such as Oxford and Cambridge. Coming from Australia, I’d never imagined that I would be able to get into such prestigious universities, but decided there was no harm in applying. At that time, my grandmother was suffering from Alzheimer’s disease, so the possibility of making a contribution in that area by studying the brain was very appealing. I managed to find a supervisor at Cambridge University working in the field of computational neuroscience, and was lucky enough to be accepted into a Wellcome Trust programme that would fund my PhD in that area.

I greatly enjoyed my time studying in Cambridge, and met a lot of interesting people. One thing I noticed was that although there were many talented female PhD students in the mathematics department, I met almost no female postdoctoral researchers. I believe the impermancy of contracts and often frequent relocation involved in the early stages of an academic career are aspects which turn women off pursuing academics, particularly those who want a family. These were certainly factors that influenced my decision not to continue in academia, and at the end of my PhD I instead looked for opportunities in industry back in Australia.

(…) Choosing to study mathematics has given me fundamental skills in logical reasoning and problem solving which can be applied across many industries and careers.

I spent a year working as a data scientist at a neurotechnology startup in Sydney, but found that the company’s small size meant that it was difficult to produce any meaningful insights with the limited amount of data available. I also realised that I was more interested in working on challenging and meaningful problems from a mathematical perspective, rather than their precise applications. These factors lead me to take a position outside neuroscience, at an aerial imagery company called Nearmap. I’ve been working there for over two years now, helping build models and systems for automatically detecting objects in aerial imagery. I’ve greatly enjoyed my time there, and have been lucky enough to work with a number of talented women within the artificial intelligence team.

If there’s any advice I would give young people choosing what to study, it would be to do what you enjoy and are passionate about, and don’t worry too much about a degree’s application to a career path. My job today isn’t something I would have imagined doing while at university, at which time the field of machine learning as it is today barely even existed. Technology advances so rapidly that it’s impossible to predict what the most exciting and important careers might be in the future. However, choosing to study mathematics has given me fundamental skills in logical reasoning and problem solving which can be applied across many industries and careers.

Posted by HMS in Stories
14
Apr
2021
Dr Beate Ehrhardt

Dr Beate Ehrhardt

Born in Walsrode, Germany • Birth year 1987 • Studied Mathematics in Bremen, Germany • Highest Degree PhD in Mathematical Statistics • Lives in Bath, UK • Occupation Mathematical Innovation Research Associate at Institute for Mathematical Innovation, University of Bath

I am a 33-year-old applied mathematician and data analysis expert with a PhD in Mathematical Statistics from University College London. I hold a permanent, research-only position at the Institute for Mathematical Innovation (IMI) at the University of Bath. Before joining the IMI, I worked as a Senior Research Statistician at the global pharmaceutical company AstraZeneca. I have a 2-year-old daughter and am expecting my second child any day.

Growing up with two sisters and a brother, my father never told us there was a difference between boys and girls. Instead, he instilled in us an understanding that we can achieve what we want with hard work. As a result, whenever people tell me I cannot do something I take it as a challenge rather than a dead-end.

I love mathematics. I love learning. I love people. And I love science. But most of all I love when all of these four things come together. 

Ask for advice but know how to interpret it

Any kind of advice you receive from others says much more about them than about you. When I was deciding what to study after my A-levels, a teacher for advanced maths advised against “studying mathematics because it is too hard”. He was wrong. I loved every second of my undergraduate programme in mathematics. All of a sudden I was surrounded by like-minded people and could solve riddles day in and day out. Studying mathematics was the best choice for me. It was intense – and yes – it was hard work, but it was so rewarding. I learned to describe the world in equations, see the world in trends, identify patterns, and extract information from all the noise. I found a way to explain the world and found out I was really good at it! Looking back on it now, I understand that my teacher was not judging whether I would be good enough to study mathematics but rather was projecting his own experiences and difficulties studying maths. That is why I would suggest: Ask for advice but know how to interpret it.

I particularly enjoyed the statistics part of my undergraduate degree but wanted to understand further the maths behind it. So, I decided to pursue a PhD in mathematical statistics. Having been abroad to Cardiff, UK for an ERASMUS exchange during my undergraduate, I knew I wanted to be in an international environment surrounded by people from many different backgrounds and cultures for my PhD. When I heard about a PhD position at University College London on the mathematics of networks I was immediately intrigued. Before signing up, I met twice with my future supervisor, which was an incredibly good opportunity to get to know him and his team a little bit. I believe the PhD experience is strongly influenced by the research group you are joining and thus, I would very much recommend trying to find out about them as much as you can. In contrary to the common stereotype that a PhD in mathematics is lonely, I experienced quite the opposite. I joined a small research group of brilliant colleagues – some of whom I still call up nowadays to discuss research ideas, and I also was part of a cohort of PhD students that formed a support network for each other. There was always someone to discuss Maths with, or to join me for a pint when a break was needed.

(…) the very best you can do for you and your career is to discover what gets you out of bed in the morning with a smile

During my PhD, I discovered my talent for proving theorems, and there were multiple opportunities to do a Postdoc on related topics. However, being good at something does not always mean it is what you enjoy doing most. At UCL, I was fortunate to be exposed to many different types of research, which enabled me to understand that what really fascinates me are the insights one can draw from data and the corresponding impact rather than the actual tools used. So, after four years of carefully building a network and investing time and effort to build a strong foundation for a research career, I made (what felt like) a radical decision to leave academia and to join the research-end of industry where I can apply my knowledge to add insights to science with an immediate impact to the real world. Many colleagues and friends were shocked by my move including the research group I was part of, which made the decision even harder.      

Now, five years after finishing my PhD, I know it was undoubtedly the right move for me for two main reasons. First, the line between industry and academia is not as rigid as I thought. The move from a research-in-industry position back to academia is increasingly common, and the work I do now at the Institute for Mathematical Innovation is from a mathematical point-of-view very similar to my work at the pharmaceutical company. Second, and most importantly, the move enabled me to experience research in a very applied setting. Most of the work I have done post-PhD has involved engaging with multi-disciplinary teams working together towards an overarching goal. Each new project comes with its own data analytical challenges while at the same time allowing me to learn about research in a variety of disciplines. Whether it is tiny scissors that allow us to edit DNA (called Crispr Cas9) or contributing to our knowledge about the growth of black holes, the work is always fascinating. Everybody’s motivations are different and the very best you can do for you and your career is to discover what gets you out of bed in the morning with a smile.

Posted by HMS in Stories
20
Jan
2021
Lena Frerking

Lena Frerking

Born in Münster, Germany • Birth year 1988 • Studied Mathematics in Münster, Germany • Highest Degree PhD in Mathematics • Lives in Hamburg, Germany • Occupation Research Scientist in Medical Imaging

The decision of what to study was not clear to me for a long time. I always liked math, but I could not really imagine what a job as a mathematician could look like. Only after discussing with family and friends at the end of my high school time, but especially with my godfather who very convincingly told of his positive experiences of working with mathematicians and of the usefulness of their skills, I discovered the diversity of applications.  Being a person who had always been struggling a bit with making decisions, I immediately liked the idea of not limiting my future job perspectives in industry by the choice of the subject. I probably made my final decision during one of the annual university events where high school students can attend different university lectures for one day. Since I was quite undecided, I prepared a schedule and planned to attend lectures in different departments, amongst others in the medical and pharmaceutical department. I had seen some math lectures before and I liked them a lot, so I wanted to explore other options and focus on subjects other than mathematics to try and see if I would like those even more. So, I decided to attend a pharmaceutical lecture, but I knew immediately that this was not going to be my profession. I left 10 minutes after the lecture started and just went over to the math department again to yet attend another lecture. As soon as it started, I realized that the only reason I went there was to treat myself at the end of the day, because I knew I would enjoy it. That insight finally led me to the conclusion that I did not need to continue searching for anything else. I had already fallen in love with mathematics, especially the logic and the fact that everything makes sense if one just follows every single step in calculations or proofs accurately.

In the end, it did [work out], and I am more than happy that I took the risk to fail.

In the beginning of my math studies, I was surprised about the speed of the actual lectures and how different they were from the classes taught in school. I never regretted my decision, but the first two or three semesters were not easy for me to master. However, things became easier once I was able to specialize further in my studies. Even though I always thought I wanted to stay away from numerical mathematics, I eventually ended up putting the entire focus on applied mathematics and I also specialized in this field during my Master’s. Despite my previous hesitation, I quickly realized how much I liked the lectures and that they suited me more than the purely theoretical ones. The question about whether to do a PhD or not was a tough one again. I was doubting myself, but I already knew deep down that I had to give it a try. Otherwise, I would have always regretted not trying and wondered whether it would have worked out. In the end, it did, and I am more than happy that I took the risk to fail.

(…) I am happy that I still need many of the concepts and techniques that I learned at university.

After finishing my PhD, I left academia and I am now working in industry. I feel lucky that I still work in the same field I researched when I was at the university with similar applications in medicine. Therefore, the transition from academia to industry was quite smooth. Even though mathematicians are often in high demand on the job market for their way of thinking, but not necessarily for the direct knowledge obtained in math lectures, I am happy that I still need many of the concepts and techniques that I learned at university. I work in medical image computing and contribute to different aspects of enhancing CT and MRI acquisitions. Hence, I still apply some learned algorithms and I can also still be creative in the way of optimizing and adapting them to be suitable for specific applications.

Posted by HMS in Stories