AppliedMathematics

Robyn Shuttleworth

Robyn Shuttleworth

Born in Melrose, Scotland • Birth year 1993 Studied Mathematics at University of Dundee, Scotland • Highest Degree Ph.D. in Applied Mathematics • Lives in Redwood City, California • Occupation Scientist II, Altos Labs

I wasn’t very sure what I wanted to study at university when I was in high school, I just knew for sure that I wasn’t finished with education. I really loved mathematics and biology, so it turned into a battle of the sciences. I went to one university visit (the one I happened to attend!) and toured both departments. The head of the math department started his presentation with “…mathematics graduates earn on average 10% more than any other graduate”. This one statement sealed it for me, and I decided to pursue a degree in Applied Mathematics. My reasons for pursuing mathematics came from quite a shallow and impulsive place, but I’ve grown to learn that that’s okay and you can’t always choose what motivates you. Assuming studying mathematics meant I would be working with numbers for the rest of my life, I imagined myself being an accountant or an actuary and I decided to take courses in business and accountancy in my first few years at university. Whilst this was okay, it didn’t enthrall me the way I had hoped. Fortunately, towards the final year of my bachelor’s degree, I joined a team of scientists in developing genetically engineered detection strategies for cystic fibrosis patients (very different from the classes in accountancy I had previously envisioned being my future). I was excited by the ways I could contribute as a mathematician, and it brought me back to my love of biology. Soon after, in my final year of undergrad, I chose my honors project in glioblastoma modeling. I learned so much about tumor growth and treatment strategies, and I knew this was only the beginning of my journey in mathematical biology. So, when the opportunity arose to pursue a Ph.D. in cancer research, I pushed hard for funding, and one month after graduating, I started reading papers for my Ph.D. in multiscale modeling of cancer progression. I developed mathematical models to describe how tumor cells interact with their microenvironment and explored the mechanisms used to invade the surrounding tissue. Throughout my Ph.D. I attended lots of conferences which gave me plenty of opportunity to present my work and I made lots of great connections. Networking with other scientists was one of the best parts of my graduate studies and I still maintain many of these relationships today.

I was excited by the ways I could contribute as a mathematician, and it brought me back to my love of biology.

I found my Ph.D., for the most part, very enjoyable. I loved the challenges that came with researching a new area and the undeniable feeling of success when you got some exciting new results, or you finally managed to debug your code! Alongside this elation, I did find some of my time difficult, but I must admit that those grievances have been mostly forgotten and feel like a distant memory. It was so important to me to have a strong support system, and I cherished my evenings and weekends with family and friends. Taking time for myself and detaching from the research helped keep me sane and motivated throughout my studies.

After three and a half years in my Ph.D., I was ready to move onto the next stage of my career. I set my sights on finding a Postdoc position, with only two stipulations; it had to be in the field of mathematical biology, and it had to be outside of the UK (another example of my unconventional motivation). With this in mind, I found a position at the University of Saskatchewan in the field of Cryobiology. I loved learning new math modeling techniques to apply to cryopreservation processes and I found that I was able to use a lot of my previous knowledge in this field. Although this switch in fields presented me with the challenge of effectively starting over and requiring a ton of reading (and auditing undergrad biology classes!), it was extremely fulfilling to use math models to predict the optimal experimental conditions for successful cryopreservation.

Fast forward three years, and I found myself in a familiar position: loving what I currently do, but ready to explore a new field and further develop my knowledge and skills. I had always envisioned myself in academia, however, through a chance encounter on social media, I came into a position within industry in the field of cellular rejuvenation. I now build mathematical models of cellular reprogramming and rejuvenation processes to help us understand what makes us, and our cells, “healthy”.

I had always envisioned myself in academia, however, through a chance encounter on social media, I came into a position within industry in the field of cellular rejuvenation.

I’ve consistently changed fields throughout my career, and I have learned something different from each of them that I carry with me to the next. The opportunities I have had are some of the most worthwhile and rewarding roles and ones I have immensely enjoyed. Whether I am investigating how tumors grow, finding the optimal way to freeze and store an organ, or helping us age gracefully, I would not wish to be anywhere else but at this forefront of scientific discovery and advancement.

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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.

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Christina Schenk

Christina Schenk

Born in Wittlich, Germany • Birth Year 1986Studied (Applied) Mathematics at Trier University, GermanyHighest degree PhD in MathematicsLives in Madrid, SpainOccupation Postdoctoral Research Associate

Honestly, I do not really know when my passion for science, and in particular math first manifested itself. But from my experience, I can definitely say that being surrounded by the right people and mentors plays a big role in continuing in this direction and not steering towards following one of your other passions.

[..] in all of the career options that I tried, I was missing the logical and structured thinking and the challenges that math brings along.

My favorite subjects in high school had always been math and languages. It was after high school that I was thinking about combining the two subjects but I did not see myself becoming an elementary, middle, or high school teacher which probably would have been a natural choice. I tried several other options realizing internships and applying for study programs but in the end in all of the career options that I tried, I was missing the logical and structured thinking and the challenges that math brings along. It was after a gap year in Australia that I remembered one of my math middle school teachers telling me that I would be the right person to study math. Despite not agreeing with him at that point in time, in the end, I decided to give it a try. I went from a Bachelor’s to a Master’s to a Ph.D. degree in (applied) mathematics.

[..] I am very grateful for my choice as it allows me to not just learn more within my discipline but also about many others.

On the way, I kept learning languages and following my other interests especially learning more about other cultures and getting to know more of the world. After my Ph.D., I decided to go to the US for a postdoc where I stayed for about two years. Then I moved to Bilbao, Spain for another postdoctoral position. After almost two years there, I decided to stay in Spain and move to Madrid. This is what brought me to my current position. Currently, I am a postdoctoral research associate at IMDEA Materials. Here, I mainly develop models and algorithms for the acceleration of materials discovery for finding materials alternatives that are for example more sustainable. This means for instance that they are more inspired from nature, less toxic and do not deplete important limited resources. Having a background in applied mathematics, over the last 10 years I have had the opportunity to apply my mathematical knowledge in many areas reaching from cardiovascular stent design to optimization of fermentation processes to modeling cell metabolism to control of disease transmission dynamics to materials discovery. Looking back at my career decision, I think I would have been happy with studying computer science or engineering as well but it definitely had to be a science subject and I am very grateful for my choice as it allows me to not just learn more within my discipline but also about many others.

An academic research career can bring along a lot of frustration, uncertainty, and not always supportive environments but enjoying the process of learning from every experience, having the opportunity to make the world a better place, and following your passion make it worthwhile.

There have been tough phases and I definitely cannot say that I have never thought about switching careers. But I think that I have always enjoyed the challenges that my career path has brought along, maybe not always at the moment but overall, I believe that from facing challenges you learn the most. An academic research career can bring along a lot of frustration, uncertainty, and not always supportive environments but enjoying the process of learning from every experience, having the opportunity to make the world a better place, and following your passion make it worthwhile. Mentorship programs can give a lot of support on the way to keep you focused on your path and dealing with many of the given challenges. I am definitely very grateful for those mentors along the way that supported me and encouraged me to follow my passions.

If I had the opportunity to talk to my 20-year-old self, I would have told her: “Never regret anything, be grateful for the good things that every decision brought along, follow your passions, hold on to your core values, do not let your fears rule you and most importantly enjoy the process and live in the moment without holding on to the past or having fears about the future. You do not choose your destiny but you choose your company. You will find your way. Do not get lost in too much work, there are also other important things in life and remember success is one thing but you do not want to die one-day having regrets, such as not having shown enough care for your beloved ones and not having followed your other dreams and passions.”

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Anna Konstorum

Anna Konstorum

Studied Biology/Bioinformatics at McGill University, Canada, and University of California, Los Angeles, USA, and Mathematics at University of California, Irvine, USA • Highest Degree PhD in Mathematics • Lives in United States • Occupation Research Staff Member at Center for Computing Sciences, Institute for Defense Analyses

I came to applied mathematics slowly, and circuitously – but sometimes that makes for the best stories. When I was young, I fell in love with the complexity of biological processes, and thus I chose to study biology for my BSc. My grandmother was a math teacher and I have fond memories of us playing all sorts of educational math games growing up, which instilled in me a joyful, non-competitive view of math. But I never saw myself as a mathematician, it was just something I enjoyed ‘on the side’.

I sat there in complete astonishment of the beauty and power of math to describe a world that I had realized I had always wanted to see in a mathematical light.

It was only when doing my Master’s, when I took a course focused on using dynamical systems to study the life sciences, that I came to see that mathematics needed to be more than a hobby for me. I sat there in complete astonishment of the beauty and power of math to describe a world that I had realized I had always wanted to see in a mathematical light. And, I felt then, everything clicked. That my love for math and complex systems such as biology were not separate, but actually completely intertwined. It was this realization that led me to do my PhD in mathematics. I performed research modeling interactions of growing tumors with their microenvironment and took classes in a wide range of mathematical subdisciplines. It was very difficult as I knew I had less experience with mathematics than many of my peers, but I also had complementary skills in working on real-world scientific problems, which gave me a unique vantage point to think about the methods I was studying. When I kept my focus on the subject matter, I knew I was where I needed to be. It was one of the hardest, but most rewarding experiences in my life.

I work at the interface of data science and applied mathematics to help address challenging problem sets in national security, and more generally in the computational and data science realms.

Something you come to understand by taking a strong pivot, is that both you and the world have the capacity to honor a new stage in your life and career, especially if you approach the challenge thoughtfully and creatively. I had come to understand that for me, the next stage that I wanted to reach was to expand my applied mathematics capabilities to new domains in addition to the life sciences. And, really, I was ready! Studying the life sciences from a mathematical perspective prepares you to handle a variety of complex data problems. The field is full of extremely noisy data – but data that has, if you chip at it long enough, fascinating patterns and meaning underneath the noise. I now get to do just that as a Research Staff Member at the Center for Computing Sciences, Institute for Defense Analyses (CCS/IDA). I work at the interface of data science and applied mathematics to help address challenging problem sets in national security, and more generally in the computational and data science realms. I’ve used approaches ranging from applied dynamical systems (PDEs and ODEs) to, more recently, unsupervised learning methods employing matrix- and tensor-decomposition frameworks. I also hold an adjunct faculty role in the Laboratory for Systems Medicine at the University of Florida, which allows me to continue to collaborate on projects in mathematical and systems biology.

I wish I had known to take advantage of all [professional societies] have to offer earlier in my career.

What I’ve come to realize is that your unique interests and capabilities, even when they may not fit easily into a clear label, do have a place in this world where they will be valued. My background in mathematical biology has given me a unique perspective on the challenges I face in my current role, both from a mathematical and applied sense. And it makes for some fun intersectional research.

Finally, I’d like to make a quick shout-out to the power of professional societies. I wish I had known to take advantage of all they have to offer earlier in my career. Societies like the American Mathematical Society (AMS), Society for Industrial and Applied Mathematics (SIAM), Association for Women in Mathematics (AWM), and Society for Mathematical Biology (SMB) all provide opportunities to network via conferences and meetings, and to learn more about opportunities in and outside of academia utilizing the skills you learn. You don’t need a minimum degree to join – just an interest to connect with like-minded researchers.

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Sherli Koshy-Chenthittayil (she/her)

Sherli Koshy-Chenthittayil (she/her)

Born in Abu Dhabi, United Arab Emirates • Birth Year 1983Studied Mathematics at Mahatma Gandhi University in IndiaHighest degree PhD in Mathematics from Clemson University, USALives in Nevada, USAOccupation Data Analyst

I am an applied mathematician and educator with interests in mathematical biology and STEM education. I am also invested in increasing diversity in STEM, particularly, with respect to students with disabilities. As a third culture Malayalee Indian who was born and raised in the Middle East and moved to the States for my PhD, I have had the best of three worlds – India, the Middle East, and the States. In addition to my love for all things related to math, I love books (all kinds), movies, Shahrukh Khan (Hindi actor), K-dramas, and BTS (K-pop group).  My mathematics journey started in school, where I fell in love with the logic and grace of the subject. My other passion was teaching the subject I loved most. It came as no surprise to everyone who knew me that I would pursue a mathematics teaching career.

I moved to India for my bachelor’s degree in mathematics, a master’s degree in mathematics, and even a bachelor’s degree in mathematics education. The theme is clear: I love mathematics. During my degrees, the beauty of proofs, and the varied applications of math spoke to me. I then started my own tutoring center in India and as a tutor in both higher education and K-12, I designed group projects as well as mathematics trivia games to increase inquiry and class participation.

Dealing with accessibility and gender representation in my math classes turned me into an advocate for women and people with disabilities in the STEM fields.

I was born with limb-girdle muscular dystrophy and transitioned to a wheelchair in 2011. I then decided to move to the States for my PhD in applied mathematics. Dealing with accessibility and gender representation in my math classes turned me into an advocate for women and people with disabilities in the STEM fields. Working with like-minded colleagues has helped me realize the power of math in fighting social issues and in self-advocacy.

Leadership positions helped me navigate academia with confidence.

My journey after my PhD took me to Connecticut where I was a postdoctoral scholar. I used mathematical models to investigate biology and education related questions. I also was the President of the postdoctoral council. Leadership positions helped me navigate academia with confidence. Further nuances of the world of math were revealed to me during my postdoctoral tenure. I realized how mathematical models could be developed with constant input from my wet-lab colleagues.

I am looking forward to the discoveries of the versatility of mathematics.

I currently work as a Data Analyst with the Office of Institutional Effectiveness, Touro University Nevada. My job responsibilities include advising faculty, student and affiliate investigators on research design and analytical approaches to optimize research study quality and providing descriptive and inferential data analysis for a diversity of biomedical, institutional, and educational projects. I am looking forward to the discoveries of the versatility of mathematics.

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Qiaoqiao Ding

Qiaoqiao Ding

Born in Linyi, China • Birth year 1989 • Studied Applied Mathematics at Shanghai Jiao Tong University in Shanghai, China • Highest Degree Doctor in Mathematics • Lives in Shanghai, China • Occupation Assistant Research Scientist

When I was a teenager, I didn’t know what maths studies would be like. But I always took every maths lesson seriously and finished all the maths homework quickly and correctly, which gave me a sense of achievement and satisfaction among peers. I was able to find regular patterns in numbers or common features, which I found very exciting. I was not a very confident girl, but maths gave me strength.

Therefore, I decided to study maths at the University. However, I did not feel like the smartest student and university mathematics was very different from high school. I felt a bit frustrated and didn’t know how to reduce or eliminate the gap. In the second year of university, computational mathematics appeared in my life, which can be regarded as the combination of maths and computer science. Using computer science to solve mathematical problems and translating computer programs into mathematics language are two main aspects. I was attracted by the variety of applications and began to pay more attention to this field in the following semesters. From my Master’s to my doctoral research, my major was always applied mathematics. I did not only choose it because of my interests but also due to the possibility to get into contact with different subjects. Even though I saw more and more women devote themselves to computer science and mathematics, I was still hesitant. Would I do as well as men, as I needed to spend more time with my family? Could I be successful in this field? Could I find my favorite job? I did my best to find the answers to these questions.

If I can solve a problem with mathematics and present the result with a computational method, I will feel very happy.

I encountered many difficulties during my PhD. My advisor is also a woman and she gave me a lot of good advice. She had published many excellent works in optimization and medical imaging and supported my own research immensely. After finishing my PhD, I applied for an academic job in Singapore and worked there for three years. During that time, my husband was working in the US. We had to conquer the difficulty of time and distance. In my opinion, family is a very important part of one’s whole life. Every researcher needs to balance work and life, especially women. In China, women play a more important role in the relationship between husband and wife, the education of children and the connection with friends and relatives. Two years ago, my husband decided to return to China and he found a position in Shanghai. Finding a job in the same city is a big problem for me. I received a lot of help and advice from my collaborators and friends.

Now, maths has become a part of my life. Everyday, I try to solve some problems using mathematics tools and try to deduce some theorem or lemma to interpret the methodology. If I can solve a problem with mathematics and present the result with a computational method, I will feel very happy. My husband works as an assistant professor of mathematics in a university and we can discuss many interesting topics together. I think I can say that maths is my job and my life.

If anyone meets any predicament, I would strongly recommend to struggle. Try it and you will find it worth it.

At this stage of my life, I know what I want, i.e., working on applied mathematics and realizing my ideas. In China, as a woman, I never felt deprived or discriminated against for working in the field of maths or programming at the university. In fact, the contrary is the case and most people I encounter admire that I work in maths and computer science. A common perception in Chinese society is that maths is the most difficult subject and only the smartest people work on the research of it. In China, in order to encourage woman mathematicians to work in academia, many policies about gender quota have been made. In many job applications, women will be preferred over a man applicant if they have the same research abilities.

I am satisfied about the path I took, and very happy I had the courage to choose maths. I used to be afraid that I would not do well. But I know I can do my best, even if I am not the best researcher. Many of the maths students I met went through the same process and most of them did not give up. I think that most of the students that choose maths will persevere in difficult situations. If anyone meets any predicament, I would strongly recommend to struggle. Try it and you will find it worth it.

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Lakshmi Chandrasekaran

Lakshmi Chandrasekaran

Born in India • Studied Applied Mathematics at New Jersey Institute of Technology in New Jersey, USA • Highest Degree PhD in Applied Mathematics • Lives in Chicago, USA • Occupation Science communicator and Digital marketer

Growing up in India in the 90s and early 2000s, becoming a software engineer was a rage! The country’s obsession with software engineering was second only to a lucrative career in medicine. Although I went through a similar grind and familial expectations, by the time I finished high school, my mind was fraught with a constant debate between pursuing the software engineering versus physical sciences route such as math or physics – two of my favorite subjects in school. However, not being proficient at writing software codes it was easy to narrow down my choice. Experiencing calculus, vectors and 3D geometry in high school had piqued my interest enough to pursue my Bachelor’s in pure mathematics.

While my passion and curiosity for math never waned all through college, I started to wonder about the practical applicability of math in daily life. To this end, I started researching for universities with an applied mathematics graduate program. My foray into research started as a PhD student at New Jersey Institute of Technology (NJIT) where scientists applied math models to explore diverse phenomena ranging from detecting underwater submarines to the complex workings of the human body. These studies exposed me to the repertoire of math and also led me to think why I was oblivious to it until then. Perhaps it was the lack of communication, which stifled a wider appreciation.

I learnt how to translate, synthesize and communicate complex math equations in a manner that the biologists could easily relate to.

After completing my PhD, I did a couple of postdoctoral fellowships, during which I had frequent interactions with our biologist collaborators. I learnt how to translate, synthesize and communicate complex math equations in a manner that the biologists could easily relate to. In a way, I felt this was my first taste of “science communication” that left me wanting for more; since it bothered me persistently that I was still communicating science among scientists. 

At this juncture, I got an opportunity to freelance as a science writer for an online English language newspaper based in Germany – ‘The Munich Eye, (TME). I took this up as a challenge to disseminate science to a wider audience. A few years into this experience made me realize that I was happier communicating science than doing the science myself. I decided to switch gears and pursue a career in science communication. To shore up my science communication skill sets, I pursued a Master’s degree in science journalism at Northwestern University. I have never looked back since then and consider it to be one of my best career decisions.

Something that I encountered quite frequently as a science communicator was that scientists often struggled (or perhaps were reluctant) to be good marketers of their own work.

As a science writer, I freelanced for several popular science online and print outlets, communicating in lay a wide gamut of technical topics from climate change to science policy. I found that my technical expertise and research experience always came in handy when sifting through scientific work and translating them into easy-to-digest summaries. Until recently, I worked at a non-profit organization, communicating dementia science to a diverse set of stakeholders including the general public and donors. 

Something that I encountered quite frequently as a science communicator was that scientists often struggled (or perhaps were reluctant) to be good marketers of their own work. Understandably, part of this fear stems from the philosophy of not wanting to brag about one’s own research findings. However, I found this to be an interesting challenge – how do you then make an obscure field such as STEM also appealing to a lay audience? To this end, I recently completed an online certificate course in digital marketing from Northwestern Kellogg School of Management. I now look forward to applying my digital marketing and communications skill sets to promoting better awareness of science and enhancing public engagement between researchers and the general public.

Although you may think as a PhD you are solely trained to specialize in a niche area, doctoral training provides several useful skill sets (…).

Does all of this mean my PhD degree is not being put to any use? Absolutely not! Although you may think as a PhD you are solely trained to specialize in a niche area, doctoral training provides several useful skill sets such as writing, researching, mentoring, managing projects etc. coupled with professional life hacks such as resilience and tenacity, among others. I find myself regularly applying these handy skill sets in any work setting. I believe my academic background has better prepared me to have a fulfilling career in science communication and marketing in several indirect ways, for which I am forever grateful.

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Maurine Atieno Songa

Maurine Atieno Songa

Born in Kenya • Birth year 1986 Studied Mathematics at the University of Nairobi • Highest Degree MSc in Applied Mathematics from the University of Kwazulu-Natal • Lives in Durban, South Africa • Occupation PhD student at the University of Kwazulu-Natal and Assistant Lecturer, Kisii University, Kenya (on study leave)

I am currently pursuing a PhD degree in mathematics at the University of Kwazulu-Natal. My research uses the language of category theory, which is the study of objects and relationships between them, to unpack and understand real-life phenomena. The areas for its application are vast and include engineering, computer science, neuroscience, systems theory, and general relativity. This journey has indeed been a dream come true. I have loved mathematics since grade five, when I surprisingly performed well in an exam that brought together students from the whole district. I hadn’t always performed well before and I hadn’t been remotely aware that I could do well in mathematics. However, once I topped that exam, there was no going back. My mathematics teacher had taken notice that I could do well in mathematics, and he kept me on my toes. With more effort, I found the subject easier and more enjoyable than the rest. I enjoyed calculating sums and rejoiced when I got them right. It was as though a new world had opened up for me and the escape I found within it brought me peace. I also enjoyed teaching my classmates the concepts which they found difficult. In a way, my destiny had been sealed.

At higher levels of study, the main challenges we faced were a lack of resources and scarcity in the woman role models that we could look up to.

I must admit that the journey hasn’t always been easy. Much as the teachers encouraged us and pushed us to work hard, it wasn’t often easy to see the future that they envisioned. It was tough growing up in a village which had been ravaged by HIV/AIDS. Most of us were being raised up by grandmothers who were now frail. As my mother had died when I was eight years old, I had to rely on bursaries and scholarships to get through most of my schooling. It also wasn’t common for girls to love mathematics or to excel in it, and so, negative remarks were often made about mathematics. A narrative was pushed that mathematics was meant for boys, and that girls who loved it were to be feared. But the love, passion, and the escape that mathematics provided, together with the pressure and encouragement from the teachers, was enough to help me push through.

At higher levels of study, the main challenges we faced were a lack of resources and scarcity in the woman role models that we could look up to. We got to learn essential skills like programming so late, and even then, most of what we learned was theoretical. As such, we did not have the full knowledge required to forge forward in mathematics. Our knowledge about possible career avenues was also limited. In graduate school, I have struggled with imposter syndrome, a feeling that you are not worthy. Sharing this experience with a few colleagues has led me to the realisation that most of us struggle sometimes, especially those who came from humble backgrounds. My friends and colleagues have taught me to push back that negative voice and to often remember how far we have come.

To me, knowing these incredible women, and knowing that they, just like me, have overcome so much to get to where they are, is a testament that women are capable of extraordinary achievements in mathematics and other STEM-related areas.

There have been notable influences without which I couldn’t have reached this far. Attending the African Institute for Mathematical Sciences (AIMS) opened my eyes to the vast areas of applicability in mathematics. The networks they provided have proved invaluable. It was great getting to meet other women from Africa and finding out that we all had similar challenges growing up, and yet, with persistence and a little luck in terms of scholarships, we managed to push through. We could now cultivate and find inspiration amongst ourselves. I know that there are many heroes in the world of mathematics, but those who inspired me the most were peers I met during graduate school. I get inspired every day by exemplary woman peers who have gone ahead of me and attained their doctorates in mathematics. To me, knowing these incredible women, and knowing that they, just like me, have overcome so much to get to where they are, is a testament that women are capable of extraordinary achievements in mathematics and other STEM-related areas.

As such, it is imperative to teach our girls from early on that their gender does not prohibit them from excelling in the sciences or any career that has traditionally been set aside for the men. It should be our prerogative to instill in them that they too can be at the core of discoveries in mathematics, physics, chemistry, biology and engineering and that they can become whatever they dream and work hard towards. Girls need to know that there is much more that they can achieve in life if they work hard towards it. I am grateful to forums like Her Maths Story for highlighting our stories and for working towards changing the narrative.

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Karrie Liu

Karrie Liu

Born in Hong Kong • Studied Mathematics at University of York, UK • Highest Degree MSc in Applied Mathematics • Lives in London, UK • Occupation Freelance Mathematician / Founder of an analytical advisory company

Growing up in two distinct family cultures (Chinese parents in Hong Kong and “adoptive” English parents in the UK), I noticed that girls weren’t often encouraged in the same way that boys were. Many Asian parents would prefer that their daughters marry and focus on family rather than pursuing studies in higher education. Due to this, I wish to be a role model to younger generations, especially girls, so that they may be inspired and have the courage to follow their dreams. My ultimate goal is to improve the world through maths, data science and technology. Hence, that is why I set up an analytical consultancy company called the analytical advisory company Hypatia Analytics Ltd in 2019, which allowed me to spend more time on different types of charity work.

My ultimate goal is to improve the world through maths, data science and technology.

Since graduating from university, I have been applying my skills to continuously show people how they can use mathematics in healthcare and life sciences. During my tenure at the National Health Service (NHS), I participated in several diversity and equality projects. The NHS lacks information on ethnicity and I noticed that researchers had to use the general label “South Asian Name programme” to gather more details. I headlined a project discovering whether extra details can improve the name-test accuracy and to carry out diagnostics tests using patients’ self-reported ethnicity as the standard compared to test results. The outcome has been widely adopted in the Bradford/Leicester council area, improving NHS data and enabling valuable insights for local health economics planning.

Since data science is a relatively new type of career, many people haven’t yet fully understood why it is needed and how to apply it in the real world. Education is the key for people who want to be specialized professionals, but they also need to make the field accessible to the general population. My role as a trustee at The Institute of Mathematics and its Applications (IMA) allowed me to chair three national conferences to showcase how mathematics can be used with data science and helping others to get more help from the industry. 

My company [..] acts as an analytical advisor for charities providing statistical support for clean water programmes, using data science and technology to improve design and optimise resources needed to implement systems.

Skill-based volunteering is also very close to my heart; with my company Hypatia Analytics Ltd I have had the opportunity to voluntarily lead tech and maths projects engaging with the public and different charity organisations. Hypatia Analytics Ltd acts as an analytical advisor for charities providing statistical support for clean water programmes, using data science and technology to improve design and optimise resources needed to implement systems. The charity’s aim is for people’s lives to improve from having clean water close to their home. Hence, more children have time to attend school and the prevalence of illnesses is decreased.

In the summer of 2021, Hypatia Analytics Ltd in partnership with a charity promoting mathematics set up a Math & Data Summer programme called “Discover Data”. This program is a series of introductory workshops on how applied mathematics with real-world evidence can be used to address the world’s problems to students aged 14-17. However, the program  did not stop there, it had set up a monthly meeting to teach more, and we are now planning Summer 2022 face-to-face workshop.

I believe data and mathematics are at the heart of better decision-making and hope that people can benefit from it.

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Sanchita Chakraborty

Sanchita Chakraborty

Born in Bolpur, West Bengal, India • Birth year 1999 Studies Mathematics at Purdue University in West Lafayette, Indiana, USA • Highest Degree ongoing Bachelors of Science • Lives in West Lafayette, Indiana, USA • Occupation Student Researcher and Undergraduate Student

I always loved how neat math was. No matter the problem, the answers seem to come with a simple number. After taking partial differential equations and numerical analysis courses, it seems so silly now, the subject is anything but “neat”. It is complex, chaotic, and elegant, but what I have come to appreciate is its beauty, its ability to explain the world around us.

When I imagined a mathematician, I thought of an old man sitting in a flickering candle-lit room with melted wax and papers strewn around on an old wooden table. What did that really mean in the era of supercomputers, high-speed trains, planes and rockets?

As a child, I never really thought of being a mathematician as a job to pursue. I mean, to be fair the greats that I knew of only existed in Ancient Greece or Rome. When I imagined a mathematician, I thought of an old man sitting in a flickering candle-lit room with melted wax and papers strewn around on an old wooden table. What did that really mean in the era of supercomputers, high-speed trains, planes and rockets?

[..], I took the route of role models like Howard Wolowitz from the Big Bang Theory and Dr. Amelia Brand from Interstellar, and chose a degree in Aerospace Engineering.

So, when I had to choose a degree to study, I took the route of role models like Howard Wolowitz from the Big Bang Theory and Dr. Amelia Brand from Interstellar, and chose a degree in Aerospace Engineering. When I entered, I was excited by the engaging new problems I would learn to solve – whether it was in understanding rocket propulsion or in the use of orbital mechanics within navigation. However, instead I became bogged down with solving mundane structures and material problems. Moving into my sophomore year, classes did become more interesting with my first fluids and orbital courses. Every time I stepped into an engineering classroom, I felt a sense of excitement in understanding the fundamental equations, rather than the applications to real-world problems.

While I had once run away from engineering, I found myself right back to where I began, but instead I was in the role of a mathematician.

I reflected on my prior math courses, thinking about how I would apply these geometric properties and analysis techniques to problems that I had been introduced to in my aerospace courses. I knew it was time for a change, so I switched gears to classes like complex analysis, partial differential equations, and introduction to proofs. I was hooked. Around the same time, I had my first laboratory experience in mathematics. I spent the summer working on neural networks to reduce the loss from the 2D approximations to the advection-diffusion equation in transport phenomena. It was one of the hardest learning experiences, coming in with very little knowledge of Deep Learning, but the hours spent on literature reviews seemed less like work and more like unravelling my favorite mystery novel. This was the moment in which the puzzle pieces of all my interests across engineering and mathematical disciplines clicked.  So when I finished my summer project, I immediately looked for new opportunities in applied mathematics, and I was fortunate enough to find a supervisor in the Electrical and Computer Engineering department to work on Finite Element Methods and the Schrödinger equation. While I had once run away from engineering, I found myself right back to where I began, but instead I was in the role of a mathematician. My supervisor has helped me find confidence in my abilities and given me the opportunity to take lead on my first project, and is the reason I have found the confidence to apply to applied math MS/PhD programs for fall 2022.

I had women like Katherine Johnson to look up to, but she was merely a role model, not an individual I could tangibly connect to.

While I have been undoubtedly lucky to be surrounded by amazing mentors, the lack of women mathematicians and engineers did not go unnoticed. I found my experiences to be hardly unique. When talking to a good friend in the math department, I found that she too had been the only woman in her math classes. In four years, I had only had one woman math professor and one woman graduate student that supervised my research. In my graduate and advanced courses, I was one of two or maybe three women students. The world had long moved away from the old man in the candle-lit room, but the representation of women in the industry was grossly underdeveloped. Looking at research faculty in the graduate programs I applied to, I found the representation to be quite similar. I had women like Katherine Johnson to look up to, but she was merely a role model, not an individual I could tangibly connect to. She seemed just as far remote as the Greek greats.

Inequality seems to be quite an abstract notion and equality just an idealized concept, existing only in philosophical treatises. To encourage more women to pursue a career in academia and research, we must begin by creating real mentor-mentee relationships that go far beyond the professional. Only through this tangible bond can we expect to see true equality in every field, including this complex and elegant language we hold so close and I sincerely hope that one day the word mathematician comes with an image of a woman and a man working side by side in a world intertwined with modern technology.

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Elena Tartaglia

Elena Tartaglia

Born in Melbourne, Australia • Studied Applied Mathematics at the University of Melbourne in Australia • Highest Degree Doctor of Philosophy in Mathematical Physics • Lives in Melbourne, Australia • Occupation Research Scientist

I discovered my love of maths in high school when we started learning algebra. I had never been particularly adept at arithmetic or memorising times tables, but algebra was fun. It was about learning logical rules and applying them, step by step, to solve a problem that seemed impossible from the outset. My maths career so far has taken me from applied maths to mathematical physics to statistics and data science. Though the technical areas have been different, the pattern of understanding fundamental rules to break down big problems has remained.

I followed my heart all the way to a PhD in mathematical physics where I discovered the beauty of diagrammatic algebras: equations made out of squiggly diagrams.

My decision to pursue a career in maths came during my second year of university. I had been studying engineering, which I believed to be a more stable career choice, but after a year and a half I couldn’t get excited about any of the engineering specialisations. My Mum encouraged me to follow my heart and study mathematics: study what you love and you’ll figure out the work later, she advised. I followed my heart all the way to a PhD in mathematical physics where I discovered the beauty of diagrammatic algebras: equations made out of squiggly diagrams.

After a two-year postdoc in Italy, I decided to make the switch from academia to follow a career in data science. I had avoided any statistics and probability in my university studies, because they were not topics I enjoyed in high school, but I soon learned how interesting randomness is and how useful it is for understanding the world. I was lucky enough to land a dream job at Data61, the data analytics unit of CSIRO, Australia’s national science agency. Since then I have been working on industry projects, solving applied problems in the areas of manufacturing, wildfires and public policy with statistics and machine learning. I love that even after this career change, I can still use my mathematical thinking to break problems down into their essential ingredients and solve them step by step.

Reflecting on my path from education to employment, I have learnt that careers don’t have to follow a clear and straight path.

Reflecting on my path from education to employment, I have learnt that careers don’t have to follow a clear and straight path. I have learnt that following your dreams can be a good option, but it isn’t the only one, and that trying out adjacent areas of work that are in-demand can lead to a fulfilling occupation. I have also learnt that an important output of your studies is the ability to teach yourself new skills, because flexibility is a valuable skill in the workforce – plus learning new skills keeps your work interesting.

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Sofía López Ordóñez

Sofía López Ordóñez

Born in Quito, Ecuador • Studied Mathematical Engineering at Escuela Politécnica Nacional in Quito, Ecuador • Highest Degree M.Sc. in Mathematical Optimization • Lives in Quito, Ecuador • Occupation Teaching assistant and Ph.D. student

My math story started with questions, as many other math stories, I suppose. In the early years of high school, math exercises were fun and challenging. I enjoyed solving them, but I never thought I would study math as a career years later. By that time, I wanted to become an engineer, like my dad, and hopefully work at a hydroelectric power plant. But somehow, math was like gravity, and I felt more and more drawn to it. Hence, I decided to study math at Escuela Politécnica Nacional in Ecuador at the end of high school. Looking back on it, I think I was lucky. Pursuing a career in math was not common in Ecuador. I had the support of my parents and I also was encouraged by my math teacher. However, I had no idea of what math was really about.

I enjoyed the vitality of the formal math language, which brings the possibility to precisely describe a deduction process and articulate a definition from an intuitive notion.

I found the early stages of my undergraduate studies challenging and, sometimes, difficult. However, I was amazed and triggered. I enjoyed the vitality of the formal math language, which brings the possibility to precisely describe a deduction process and articulate a definition from an intuitive notion. The beauty of the simplicity and richness of math made me stay. Nevertheless, the inflection point in my math story happened when I started to work as a research assistant in a project at the Research Center for Mathematical Modeling in Ecuador, ModeMat. In this project, I worked on the numerical solution of visco-plastic fluids. These fluids have a dual behavior; they move like a solid or like liquid depending on the stress imposed on them. I found the mathematical formulation of these fluids fantastic. In this process, I learned the fundamental laws underlying fluid dynamics, optimization methods and I improved my coding skills. This was the starting point of a journey that led me through a Master’s program in Mathematical Optimization and then, like the flow of a Newtonian fluid, to the Ph.D. program in Applied Mathematics. Being part of the Research Center, ModeMat, has shaped part of my life. I have grown up there from an undergrad student to a Ph.D. student under the supervision of four great advisers: Pedro, Sergio, Juan Carlos, and Luis Miguel. Their guidance during the Ph.D. has been essential and valuable. 

I am confident things are changing. At the moment, in my Ph.D. program, we are more women than men.

Nonetheless, I have realized that every time I was part of an international conference, unconsciously I ended up choosing a woman from the Academy as a role model. This unaware action, years later, made me realize how important visibility is. There were few academic women at the math department while I was an undergrad student; therefore, I had the chance to only have one math woman professor. I am confident things are changing. At the moment, in my Ph.D. program, we are more women than men.

I am in the last year of the Ph.D. This journey has not been like the stream of a calm river. Like a visco-plastic fluid, sometimes I have moved like a solid, slowly and without any change in my progress and, sometimes, one just flows like a liquid in a stream of exquisite results. The chance to write about my story came in an opaque moment of uncertainty and lack of confidence. It took me a while to sit and write it down. However, I have genuinely enjoyed it. This retrospective exercise helped me to reconcile and reconnect. Right now, I am focused on this last year of the Ph.D. and interested in a Postdoc. My thesis is still related to visco-plastic fluids. Therefore, in some sense, I think I kind of accomplished my teenage dream. I am not working at a power plant driven by water but I have a better understanding of the fluid dynamics laws to comprehend the power of water. Finally, I would like to take the final words of Natasha Karp’s math story (which I enjoyed a lot reading) as advice: “Enjoy your journey but don’t expect to know exactly where you are going and keep growing and challenging yourself’’. I think that’s what I will do.

Posted by HMS in Stories