Defended!

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.

Teaching Award for Casey Rodriguez

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.

Research Roundup

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

    • Newly posted: J. Bernstein and A. Bhattacharya, The CR-volume of horizontal submanifolds of spheres.
    • Upcoming Invited Talk: European Congress of Mathematicians: Satellite Conference on Analysis and PDE, Portugal (July 2024)
    • Upcoming Invited Talk: Partial Differential Equations and Convexity, (special session of AMS sectional meeting), San Francisco (May 2024)
    • Upcoming Invited Talk: PDEs in Complex Geometry: Thematic program, Centre de Recherches Mathématiques (CRM), Montréal, Canada, (April 15, 2024)
    • Upcoming Invited Talk: PDE seminar, Indiana University (April 1, 2024)
    • Upcoming Invited Talk: Geometric Analysis Colloquium, Fields Institute, Toronto, Canada (February, 2024)
    • Presentation: Ideas Seminar, Department of Statistics and Operations Research, UNC-Chapel Hill (November 9, 2023)
    • Presentation: Geometry-Topology seminar, North Carolina State University (August 25, 2023)

Maddie Brown, Graduate Student

Yaiza Canzani, Associate Professor

    • Award: Hettleman Prize, UNC
    • Upcoming Invited Talk: 13th Ohio River Analysis Meeting  (March 16-17, 2024)
    • Presentation: 8th Coloquio Uruguayo de Matematica (December 19-21, 2023)

Andrew Lyons, Graduate Student

Jeremy Marzuola, Professor

Casey Rodriguez, Assistant Professor

    • Newly posted and accepted: C. Rodriguez, A midsurface elasticity model for a thin, nonlinear gradient elastic plate, Int. J. Eng. Sci., to appear.
    • Upcoming Invited Talk: PDE Seminar, Georgia Tech (March 26, 2024)
    • Upcoming Invited Talk: Great Lakes Mathematical Physics Meeting (GLaMP), Michigan State University (June 7-9, 2024)
    • Presentation: Colloquium, Virginia Tech (December 1, 2023)

Jeremy Wall, Graduate Student

    • Presentation: Fall 2023 TAGMaC at NCSU (Isoperimetric Inequalities and Function Bounds)
    • Upcoming Event: Helping run the Spring 2024 TAGMaC at UNC-CH.

Jian Wang, Postdoctoral Fellow

Mark Williams, Professor

Shining Stars Recognized with 2023 Hettleman Prizes

The annual Phillip and Ruth Hettleman Prizes for Artistic and Scholarly Achievement have been awarded to five promising faculty members who exemplify groundbreaking and innovative research along with future career promise. These coveted awards, established in 1986 by the late Phillip Hettleman, a proud alumnus of the Carolina class of 1921, and his wife Ruth, shine a spotlight on exceptional junior faculty members who embody a commitment to groundbreaking research and hold the promise of a brilliant future.

Among those gracing this year’s recipient list is our very own Professor Yaiza Canzani. Her work transcends boundaries, connecting microlocal analysis, partial differential equations, probability, geometry, and dynamical systems. On the national stage, her scholarship shines bright, having earned accolades including a prestigious Alfred P. Sloan Fellowship, the Sadosky Research Prize in Analysis, and a National Science Foundation CAREER grant.

The winners will illuminate their groundbreaking research during University Research Week: October 24, from 3 to 5 p.m., at the School of Social Work’s Tate-Turner-Kuralt Auditorium. The full announcement for the prize can be found here. Congratulations Yaiza!

University Research Week Event

During University Research Week, members of the research group will host an informal meet-up where students can delve into the exciting world of research and the pursuit of advanced degrees in mathematics.

  • Date: October 26
  • Time: 2-3 PM
  • Location: PH 365

Students can get insights, ask questions, and explore the possibilities in this dynamic field! The official University Research Week link for this event can be found here.

Research Roundup

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

Girls Talk Math

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.

Congratulations to Michael Taylor

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.

Derrick Nowak dissertation defense

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.