Unified transform lab

Yale-NUS College

People

Current

  • Dave Smith

    Assistant professor of science, Yale-NUS College

    Lab member since 2016.

    I'm an applied mathematician studying boundary value problems for linear equations. I run the unified transform lab at Yale-NUS College. Master’s degree in Mathematics from University of York, United Kingdom, in 2007 and my PhD from University of Reading in 2011. Before joining Yale-NUS College in 2016, I held postdoctoral fellowships at University of Michigan, University of Cincinnati and University of 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 [AS2019b], [AS2019a], [ST2019a].

  • Sultan Aitzhan

    Graduate, Yale-NUS College

    Lab member since 2019.

    I’m a graduate of Yale-NUS 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 am working on 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].

  • Sambhav Bhandari

    Undergraduate student, Yale-NUS College

    Lab member since 2020.

    I am a student at Yale-NUS 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 am working on the project Adjoints of general interface differential operators in summer 2020.

  • Dion Ho

    Undergraduate student, Yale-NUS College

    Lab member since 2018.

    I'm a rising senior at Yale-NUS 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 non-academic interests include badminton, chess and casual reading.

    I am working on 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 [Ho2018a], [Ho2018b].

  • Juwon Lee

    Undergraduate student, Yale-NUS College

    Lab member since 2020.

    I'm a rising senior at Yale-NUS 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'm working on the project Numerical locus of zeros of exponential polynomials in summer 2020.

  • Upaasna Parankusam

    Undergraduate student, Yale-NUS College

    Lab member since 2020.

    I am from the Class of 2021 at Yale-NUS 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 5-year-old) and am interested in learning different genres of dance!

    I'm working on the project Interface linearization of NLS solitons in summer 2020.

  • Wang Yanhua

    Undergraduate student, Yale-NUS College

    Lab member since 2020.

    I am from the class of 2022 at Yale-NUS 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'm working on the project Asymptotic locus of zeros of exponential polynomials in summer 2020.

  • Zhang Liu

    Undergraduate student, Yale-NUS College

    Lab member since 2019.

    I’m a rising junior at Yale-NUS 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'm working on the project Analytic-geometric 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].

Past

  • Ahmed Fedi Lassoued

    Undergraduate student, Yale-NUS College

    Lab member 2019.

    I am a rising junior at Yale-NUS 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 start-up that uses AR and VR technology for good.

    I completed the project Argument principle for root counting in summer 2019.

  • Xiao Linfan

    Undergraduate student, Yale-NUS College

    Lab member 2018–2019.

    I'm a graduate of Yale-NUS 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].

  • James Pierog

    Undergraduate student, Yale-NUS College

    Lab member 2019.

    I'm a rising junior at Yale-NUS 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.

  • Toh Wei Yang

    Undergraduate student, Yale-NUS College

    Lab member 2018–2019.

    I am a Yale-NUS 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], [ST2019a].

  • Peeranat (ToTo) Tokaeo

    Undergraduate student, Yale-NUS College

    Lab member 2019.

    I'm a rising senior studying MCS at Yale-NUS 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.