RTG: Partial Differential Equations on Manifolds
Funded by NSF DMS-2135998
Congratulations to Maddie Brown who successfully defended her dissertation, “Fourier Coefficients of Restricted Eigenfunctions”. It is a beautiful result and was a masterful presentation. Maddie worked with Yaiza Canzani and Jeff Galkowski, and we also congratulate them. Maddie will be leaving for a postdoctoral position at the University of Auckland, after which she will join Oberlin College & Conservatory as an Assistant Professor.
We are proud of Maddie, wish her luck, and will miss her.
Congratulations to RTG faculty member and co-PI Casey Rodriguez! Casey is one of the 2024 recipients of the Goodman-Petersen Award for Excellence in Teaching.
The Goodman-Petersen Awards were established thanks to a donation from UNC Mathematics Alumni Jennifer Johnson and Janos Kollar, and they are given annually by the Department to faculty for excellence in the teaching of mathematics to undergraduates. The awards are named after two of our Emeritus Faculty members, Professors Sue Goodman and Karl Petersen, both of whom showed incredible devotion to undergraduate education throughout their careers.
The RTG is privileged and proud to have Casey in the group. He has mastered the art of delivering deeply rigorous material in digestible ways and using humor to keep students engaged.
We will regularly announce newly posted articles and newly accepted articles within the group. We are proud to announce the following updates from the past few months.
Arunima Bhattacharya, Assistant Professor
Maddie Brown, Graduate Student
Yaiza Canzani, Associate Professor
Andrew Lyons, Graduate Student
Jeremy Marzuola, Professor
Casey Rodriguez, Assistant Professor
Jeremy Wall, Graduate Student
Jian Wang, Postdoctoral Fellow
Mark Williams, Professor
We will regularly announce newly posted articles and newly accepted articles within the group. We are proud to announce the following updates from the past few months.
Arunima Bhattacharya, Assistant Professor
Yaiza Canzani, Associate Professor
Jeremy Marzuola, Professor
Casey Rodriguez, Assistant Professor
James Rowan, Postdoctoral Fellow
Timothy Van Hoose, Graduate Student
Jian Wang, Postdoctoral Fellow
Congratulations to RTG faculty members Arunima Bhattacharya, Jeremy Marzuola, and Casey Rodriguez on their new grants that were awarded!
We congratulate PI Yaiza Canzani and her co-author Jeff Galkowski on the publication of their new book: Geodesic beams in eigenfunction analysis. Yaiza and Jeff have pioneered many uses of geodesic beams to better understand the behavior of eigenfunctions of the Laplacian. It is exciting to see a recap of their achievements in text form.
The RTG is excited to welcome the Girls Talk Math program back to campus. This summer camp was started by two alumni, including Katrina Morgan who is beginning a new faculty position at Temple University and has returned for this year’s camp. Each year a number of high school students are hosted and dig into challenging problems. See https://girlstalkmath.com for more info and to follow them on social media.
We congratulate Michael Taylor on his retirement after 36 years at UNC. Michael is a 1970 PhD from Berkeley (with Cordes) and came to UNC in 1987. Amongst his many accolades, he is an ICM speaker and an elected member of the American Academy of Arts & Sciences. He has made many notable contributions with the fields of analysis and PDE. He is the author of more than a dozen books including some absolute classics in microlocal analysis and an elegant and famous three volume set on Partial Differential Equations in addition to his classroom texts on analysis, linear algebra, complex analysis, ODE, and measure theory.
The members of the RTG are deeply grateful to Michael for his mentorship, generous sharing of ideas, and enthusiasm for all things in mathematics.
Congratulations to Dr. Derrick Nowak! Derrick successfully defended his dissertation “Local smoothing of the Schrödinger equation on a multi-warped product with degenerate trapping on Thursday, May 11. Congratulations also goes to Hans Christianson, who was Derrick’s thesis advisor.
The most recent Community Spotlight from MSRI / the Simons Lauer Mathematical Sciences Institute has featured RTG faculty member Arunima Bhattacharya. You can read the article and learn more about Arunima here. Congratulations to Arunima!
