Hello, World!
Are you a PhD student or postdoc in Harmonic Analysis who is going to be on the job market in Fall 2024? Have you been thinking about making use of some other types of media to compliment your research and teaching statements to better present yourself as a job candidate? This series is created exactly for you! Anyone who is interested is welcome to sign up to post a 20-30 minutes video to introduce your academic works, background, and future plans. The talks are recommended to be made accessible to a general analysis audience and uploaded during the job application season, ideally by the end of November. Feel free to include the link to the talk in your job application portfolio.
Even if you are not going to be on the job market this year, or you simply want to share some of your research to the community, you are still more than welcome to participate! An important goal of this series is to help early career colleagues gain visibility for their research and gives the broader community an opportunity to learn about the great new results and researchers in the field!
To participate, please use this form to sign up. We will then email you further instructions and links to upload your video.
Amelia Stokolosa (UW-Madison) 2024 – Inverses and Tame Algebra Estimates for Product Kernels and Flag Kernels on Graded Lie Groups
Amelia Stokolosa is a Ph.D. Student at UW-Madison, advised by Dr. Brian Street. Amelia is expected to graduate in May 2025. In this talk, Amelia presents two different proofs of an inversion theorem for two classes of multi-parameter singular integrals that dates back...
Ben Johnsrude (UCLA) 2024 – Some Considerations for Efficient Fourier Decoupling
Ben Johnsrude is a Ph.D. Student at UCLA, advised by Dr. Terence Tao and Dr. Hong Wang. He anticipates graduating in June 2025. In this talk, Ben discusses methods of proving decoupling estimates in a way that nearly minimizes the subpolynomial losses. Ben focuses on...
Tainara Borges (Brown) 2024 – Bilinear Averaging Operator and Singular Variants of Falconer Distance Problem
Tainara Borges is a Ph.D. student at Brown University, advised by Dr. Jill Pipher. Tainara is expected to graduate in May 2025. In this talk, Tainara discusses new bounds for general bilinear averaging maximal operators and connections between the study of bilinear...
Liding Yao (OSU) 2024 – On Seeley-type Universal Extension Operators for the Upper Half Space
Dr. Liding Yao is currently a postdoc at the Ohio State University. He got his PhD in 2022 from UW-Madison, advised by Dr. Brian Street. He is currently on the job market. The Seeley's extension operator is an operator that extends function defined on the upper half...
Jonathan Schillinger (FSU) 2024 – Equilibria & Asymptotics for the Gaussian Kernel
Jonathan Schillinger is a Ph.D. student at the Florida State University, advised by Dr. Alexander Reznikov. Schillinger is expected to graduate in Spring 2025. In this talk, Jonathan describes a relatively young field of mathematics that he has been working in called...
Aidan Backus (Brown) 2024 – The Fractal Uncertainty Principle via Dolgopyat’s Method in Higher Dimensions
Aidan Backus is a Ph.D. student at Brown University, advised by Dr. Georgios Daskalopoulos. Aidan is expected to graduate in May 2025. The Fractal Uncertainty Principle asserts that a function and its Fourier transform do not both concentrate on fractals. In this...
Paige Bright (UBC) 2024 – A Continuum Erdos-Beck Theorem
Paige Bright is a first-year Master's student at UBC and will be joining MIT next year as a Ph.D student. In this talk, Paige discusses radial projections, dual Furstenberg sets, and line sets. This is joint work of Caleb Marshall and Paige Bright. Keywords: line...
Jianxiong Wang (UConn) 2023 – Symmetry of Solutions to Higher Order Conformal Equations on Hyperbolic Spaces
Jianxiong Wang is a Ph.D. student at the University of Connecticut, advised by Dr. Guozhen Lu. Jianxiong is expected to graduate in May 2024. In this talk, Jianxiong shows that nontrivial solutions to higher and fractional order equations with certain nonlinearity...
Chenxi Wu (UW-Madison) 2023 – Harmonic Analysis on Metric Graphs
Dr. Chenxi Wu is currently an assistant professor at UW-Madison. In this talk, Dr. Chenxi Wu presents an overview of some classical and new results in graph harmonic analysis and their applications to combinatorics and geometry. Keywords: graph harmonic functions,...
William Blair (UArk) 2023 – An Atomic Representation for Hardy Classes of Solutions to Nonhomogeneous Cauchy-Riemann Equations
William Blair is a PhD student at the University of Arkansas, advised by Dr. Andrew Raich. William is expected to graduate in May 2024. In this talk, William presents his recent results concerning a representation by atomic decomposition for boundary values of...