Lab leader

Dave Smith
Senior lecturer, University of NewcastleLab member since 2016.
I'm an applied mathematician studying boundary value problems for linear equations. I run the unified transform lab at YaleNUS College. I received my Master’s degree in Mathematics from University of York, United Kingdom, in 2007 and my PhD from University of Reading in 2011. Before joining YaleNUS College in 2016, I was a postdoc at Universities of Michigan, Cincinnati and Crete. When I'm not doing mathematics, I'm usually tinkering with computers or listening to heavy metal with my cat, Oreo.
I supervise all the projects in the lab.
I contributed to outputs [NS2024a], [ABS2022a], [AS2019b], [AS2019a], [ST2022a].
Current members

Bekzod Normatov
Undergraduate student, YaleNUS CollegeLab member since 2021.
I am from the Class of 2023 majoring in Mathematical, Computational and Statistical Sciences. My academic interests include solving numerical problems in applied mathematics, proving and data analysis. Outside of Mathematics, I have been learning Spanish for two years. I also enjoy dancing Latin ballroom and kpop. I have found working in the lab rewarding and fulfilling and would definitely recommend it to students interested in Mathematics.
I have been working on the project Initial nonlocal value problems for evolution equations of high spatial order in summers and semesters 2021–2022.
I contributed to outputs [NS2024a], [Nor2023a], [Nor2022a], [Nor2021a].

Michelle Ong
Undergraduate student, YaleNUS CollegeLab member since 2022.
I'm from the class of 2024. I started college thinking I would major in physical sciences, but I was drawn to mathematics after taking a couple of calculus classes. I'm intrigued by how mathematical concepts can connect fields and problems that seem to have nothing else in common. Outside of maths, I love all aspects of language, and I'll probably end up with a literature minor.
I completed the project D to N maps for the heat equation in cylindrical coordinates in summer 2022.
I contributed to output [Ong2022a].
Past members

Sultan Aitzhan
Graduate, YaleNUS CollegeLab member 2019–2020.
I’m a graduate of YaleNUS College, from the Class of 2020, and will be starting a PhD in Mathematics at Drexel University in Philadelphia, USA. My primary interest is in PDEs, though I’m intrigued by complex analysis and probability. Outside of mathematics, I enjoy reading Russian classics, watching singing competitions and drawing various objects.
I completed the project UTM as diagonalization of multipoint differential operators in summer 2020. I completed the project Generalized Fourier series methods using ApproxFun in the semesters 2019–2020. I completed the project Adjoints of general multipoint differential operators in summer 2019.
I contributed to outputs [AS2019a], [AS2019b], [Ait2019a], [ABS2022a].

Kshitij Bansal (Stitch)
Graduate, YaleNUS CollegeLab member 2021.
I'm from the Class of 2020, and am graduating from a MSc (Econ) from the LSE this year, and I had the same major while at YaleNUS. I've always had a soft spot for Mathematics, and taking OPDEs under Prof Dave was my gateway drug. I'm quite interested in learning about these problems and applying them to novel economic models that have been simplified thus far. It's great that most of economics has always borrowed its methods from the physical sciences and maths, and I'm just hoping to be a small part of that. When I am not stuck in these issues, I am usually either playing Forza 4 Horizon on my AliExpressimport budget gaming PC, or trying to figure out what exactly Elon wants from his CarbonCapture XPrize.
I completed the project Transform method for variable coefficient PDE in summer 2021.
I contributed to output [Ban2021a].

Sambhav Bhandari
Undergraduate student, YaleNUS CollegeLab member 2020.
I am a student at YaleNUS College belonging to the Class of 2021. I am studying Mathematics, Computational and Statistical Sciences (MCS) with a minor in Economics. I like doing mathematics because of its rigour, and I aspire to apply the same in improving tools for inference in economic research. In my free time, I like to read biographies and explore cities on foot.
I completed the project Adjoints of general interface differential operators in summer 2020.
I contributed to output [ABS2022a].

Neha Gupta
Undergraduate student, YaleNUS CollegeLab member since 2021.
I'm a rising junior at YaleNUS College, majoring in Mathematical, Computational and Statistical Sciences (MCS) and minoring in Philosophy. I'm drawn to these disciplines for the rigor they require. Outside class, I enjoy fantasy novels, late night runs and the Philosophy Bites podcast.
I completed the project Long time asymptotics for periodic boundary data in summer 2021. I am working on the project D to N maps for the Stokes equation as 1/3 fractional differential operators in summer 2022.

Dion Ho
Undergraduate student, YaleNUS CollegeLab member 2018–2021.
I'm a senior at YaleNUS College, class of 2021, majoring in Mathematical Computational and Statistical Sciences (MCS) and minoring in Global Affairs (GA). My primary interest is in Numerical Analysis and I've used or studied numerical methods for research work in my college and at Yale University. My nonacademic interests include badminton, chess and casual reading.
I completed the project Optimal distribution of flexural rigidity across a flapping plate to maximise thrust as a capstone project in academic year 2020–2021. I completed the project Wave equation with nonlocal conditions in summer 2020. I completed the project Efficient representation of functions and numerical integration: julia & ApproxFun in summer 2018.
I contributed to outputs [Ho2021a], [Ho2020a], [Ho2018a], [Ho2018b].

Aditya Karkera
Undergraduate student, YaleNUS CollegeLab member 2020–2021.
I'm from the Class of 2021 (formerly 2020) and major in Mathematical, Computational, and Statistical Sciences. My academic journey at YaleNUS has been a long road converging towards Applied Mathematics: from Economics to Philosophy to Finance to Financial Mathematics to Data Science to now, finally, Applied Maths proper, with plenty still left to learn. I'm interested in taking the lessons of Applied Maths to make more rigorous models and arguments in the realms of finance, economics, and public policy.
I enjoy reading and writing in my spare time, am a practitioner of Kendo on hiatus, love Star Wars, am a keen student of Indian civilisation, history, and languages, and recently got hooked to the late90s Singaporean sitcom Phua Chu Kang Pte. Ltd.
I completed the project Dispersive wave equations on networks as a capstone project in academic year 20202021.
I contributed to output [Kar2021a].

Naman Kedia
Undergraduate student, YaleNUS CollegeLab member 2021.
I enjoy studying applied mathematics as I love seeing the real world applicability of some really abstract concepts and hope to contribute to this field in some way or the other. I spend a lot of time learning about seemingly disparate things and trying to figure out the connections between them. I also love playing Call of Duty, the bass guitar, listening to music or just aimlessly observing things!
I completed the project Approximate diagonalizations in Fokas transform method for systems in summer 2021.
I contributed to outputs [Ked2021a].

Ahmed Fedi Lassoued
Undergraduate student, YaleNUS CollegeLab member 2019, 2022–2023.
I am in class of 2022 at YaleNUS College, majoring in Mathematics and Computer Science and minoring in Arts. I enjoy studying mathematics and I am currently exploring more of its applications in Computer Science. When I am not studying or learning more mathematics, I practice some art, mainly drawing. I am glad to pursue my passions in this community.
I am currently picking up more programming skills while interning in a TechxArt startup that uses AR and VR technology for good.
I completed the project Argument principle for root counting in summer 2019.

Juwon Lee
Undergraduate student, YaleNUS CollegeLab member 2020.
I'm a rising senior at YaleNUS College, majoring in Computer Science. I like it because it stretches my brain to come up with solutions to problems. When I'm not coding, I'm usually playing the acoustic guitar or reading theology books.
I completed the project Roots of holomorphic functions and the argument principle in summer 2020.

Ian Masila
Undergraduate student, YaleNUS CollegeLab member 2021.
I am an undergraduate at YaleNUS College, class of 2023. I am studying Mathematics, Computational and Statistical Sciences (MCS) with a minor in Physical Sciences. I am interested in disciplines involving computational, mathematical, and scientific methods. I am currently searching for a definite chief aim in my life. I believe I will find that in some intersection between Physics, Mathematics, Computer Science. When not thinking about theorems and applications, I enjoy reading contemporary philosophy, listening to music, playing video games, running, and spending time with friends. I look forward to contributing to the lab.
I completed the project Interface linearization of NLS solitons in summer 2021.
I contributed to outputs [Mas2021a].

Julene Ngew
Undergraduate student, YaleNUS CollegeLab member 2022.
I'm a student of YaleNUS College, from the Class of 2024, majoring in Mathematical, Computational, and Statistical Sciences (MCS) with a possible minor in Arts and Humanities. My main academic interest lies in mathematics, but I've yet to figure out my specific focus. Outside of academics, I enjoy dabbling in a variety of arts and crafts, drumming, and playing floorball.
I completed the project D to N maps for the wave equation in summer 2022.

Upaasna Parankusam
Undergraduate student, YaleNUS CollegeLab member 2020.
I am from the Class of 2021 at YaleNUS College, interested in applications of mathematics in different fields, be it Physics, Business or Finance. I dabbled a bit in theoretical physics research, explored business applications as a Summer Business Scholar at The Booth School of Business in 2019 and learnt Operations Research while in Spain. Outside of Mathematics, I am passionate about sustainability and am in the process of setting up my online store promoting circular economy of textiles in India. I am also a Kuchipudi dancer (started as a 5yearold) and am interested in learning different genres of dance!
I completed the project Complex analytic arguments in the unified transform method in summer 2020.

James Pierog
Undergraduate student, YaleNUS CollegeLab member 2019.
I'm a rising junior at YaleNUS College majoring in mathematics. In late 2018 to mid 2019 I began some independent research into iterative sequences in finite groups, as well as doing research in the uniform transform lab. My main mathematical interests are in algebra and more specifically in group theory. Though, for the past year or so I've taken a break from mathematics to focus on music production.
Nowadays I'm doing a lot of music production and going into the future I'm hoping to finish the independent research in finite groups I started about a year ago.
I completed the project UTM stage 1 for interface linearization of KdV solitons in summer 2019.

Niall Shah
Undergraduate student, YaleNUS CollegeLab member 2021.
I am from the class of 2024 at YaleNUS College, and I am a prospective Mathematical Computational and Statistical Sciences (MCS) major and a Physical Science minor. I enjoy exploring ways to solve challenging numerical and logical problems such as those in Mathematics and Physics. My first year at YaleNUS comprised research with Physical Science and Mathematics Professors. My nonacademic interests include playing football, squash and chess as well as watching comedy TV shows and movies.
I completed the project Comparison of derivations of the Q equation in summer 2021.

Toh Wei Yang
Undergraduate student, YaleNUS CollegeLab member 2018–2019.
I am a YaleNUS graduate from the class of 2020 and I am an M.S. candidate at NYU Courant. My interests are in Applied Mathematics broadly although my undergraduate research experience was largely in PDEs. I am also an avid gamer and I have recently picked up the collectible card game Magic the Gathering which, incidentally, was created by a mathematician!
I am currently working while applying for scholarships.
I completed the project Linear evolution equations on the half line with dynamic boundary conditions in summer 2018, with further work during the following three semesters.
I contributed to outputs [Toh2018a], [Toh2019a], [ST2022a].

Peeranat (ToTo) Tokaeo
Undergraduate student, YaleNUS CollegeLab member 2019.
I'm a rising senior studying MCS at YaleNUS College, Class of 2021. I'm interested in all that's related to computer science and mathematics, especially the intersection of the two. Outside my studies, I like playing badminton and video games. I watch a lot of football too!
I'm currently interning as a machine learning developer at SAP for the summer of 2020.
I completed the project Adjoints of interface differential operators in summer 2019.

Keertana Veerayah
Undergraduate student, YaleNUS CollegeLab member 2022.
I am an undergraduate student at YaleNUS College. I am in the class of 2024, with a major in Mathematical Computational and Statistical Sciences (MCS). Applied mathematics is a field that has always appealed to me as I find it deeply fascinating how abstract mathematical concepts can be used to explain and understand realworld phenomena or logical problems. I particularly enjoy the creativity that comes with communicating mathematics, via written or verbal works. Beyond my academic endeavours, I enjoy the outdoors, teaching children and playing squash.
I completed the project Nonlocal D to N maps for the heat equation in summer 2022.

Wang Yanhua
Undergraduate student, YaleNUS CollegeLab member 2020–2022.
I am from the class of 2022 at YaleNUS College. In early 2020, I've done some research using computational geometry to predict animal locomotion, and I've also dabbled in journalism at the Straits Times. Earlier in freshman year, I picked up contract bridge and fell in love with it; I thought studying Mathematics would be helpful for playing the game, but it turns out I needed a peaceful and focused mind as much as an analytical mind (watching Avatar's Uncle Iroh is helping me with that). When I am not watching Netflix, I enjoy cooking new dishes and hanging out with my dog.
I completed the project Julia library for exponential polynomials in summer 2020. I completed the project Locus of zeros of exponential polynomials as a capstone project in academic year 20212022.
I contributed to output [Wan2022a].

Xiao Linfan
Undergraduate student, YaleNUS CollegeLab member 2018–2019.
I'm a graduate of YaleNUS College, class of 2019, majored in Mathematical Computational and Statistical Sciences (MCS). Within 4 years of college, my interests went from life sciences to mathematics and computer science. This journey culminated in my capstone project and left a profound impact on my life after graduation.
I'm now working as a data engineer in the internet industry.
I completed the project Algorithmic solution of high order PDE in julia via the Fokas transform method as a capstone in 2018–2019, for which I won the MCS capstone prize.
I contributed to outputs [Xia2019a], [Xia2019b].

Zhang Liu
Undergraduate student, YaleNUS CollegeLab member 2019–2020.
I’m in class of 2022 at YaleNUS College. I’m studying Mathematical Computational and Statistical Sciences (MCS) with a minor in Philosophy. My research interests are in the intersection of these disciplines and I’ve been involved in mathematics and computer science research/competitions since high school. I like mountains and winter sports and have a fascination towards all antiquities, particularly the ancient Indian civilization.
I completed the project Analyticgeometric asymptotic analysis of exponential polynomials in summer 2020. I completed the project Julia library for exponential sums in summer 2019.
I contributed to outputs [Zha2019a], [Zha2019b].