Research roundup

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: Colding-Minicozzi Entropies in Cartan-Hadamard Manifolds
    • Upcoming invited talk: Geometric Analysis Seminar, University of Chicago (February 2023)
    • Upcoming invited talk: Gauge Theory, Geometric Analysis, and Low-Dimensional Topology, Special Session of an AMS Sectional Virtual Meeting (April 2023)
    • Upcoming invited talk: Geometric and Analytic Methods in PDE, Special Session of an AMS Sectional Meeting (April 2023).
    • Upcoming invited talk: Differential Geometry/PDE Seminar, University of Washington (May 2023).

Madelyne Brown, Graduate Student

    • Presentation: Analysis Seminar, University of Rochester (September 30, 2022)
    • Presentation: Analysis Seminar, University of Wisconsin (October 18, 2022)
    • Attended the Chern-Weil Symposium at the University of Chicago (October 7-9, 2022)
    • Upcoming invited talk:  Analysis and PDE Seminar, Johns Hopkins University (March 6, 2023)

Yaiza Canzani, Associate Professor

    • Newly posted:  Y. Canzani, J. Galkowski, and B. Keeler (former UNC graduate student): Asymptotics for the spectral function on Zoll manifolds.
    • Newly accepted: Y. Canzani and J. Galkowski: Weyl remainders: an application of geodesic beams.  Invent. Math., to appear.
    • Presentation: Münich-Aahrus-Santiago Seminar in Mathematical Physics (virtual) (December 5, 2022)
    • Upcoming invited talk: Geometria em Lisboa Semina (virtual) (January 17, 2023)
    • Upcoming invited talk: Analysis Seminar, Princeton University (February 20, 2023)
    • Upcoming invited talk: Spectral Geometry in the Clouds Seminar (virtual) (March 6, 2023)

Hans Christianson, Professor

Jeremy Marzuola, Professor

Jason MetcalfeProfessor

    • Newly accepted: J. Metcalfe and T. Rhoads (former UNC graduate student): Long-time existence for systems of quasilinear wave equations. Matematica, to appear.
    • Newly accepted: M. Facci (former UNC undergraduate student and current UNC graduate student), A. McEntarffer (former UNC undergraduate student), and J. Metcalfe: An r^p-weighted local energy approach to global existence for null form semilinear wave equations.  Involve, to appear.
    • Presentation: Analysis Seminar, University of New Mexico (virtual) (October 2022)

Casey Rodriguez, Assistant Professor

Michael Taylor, William R. Kenan Distinguished Professor

Jian Wang, Postdoctoral Fellow