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

• • Newly posted:  H. Christianson and D. Pezzi (former UNC undergraduate): Energy distribution for Dirichlet eigenfunctions on right triangles.

Jeremy Marzuola, Professor

• • Newly posted: Z. Boyd, N. Fraiman, J. Marzuola, P. Mucha, and B. Osting: Escape times for subgraph detection and graph partitioning.
  • Newly accepted: L. Hillairet and J. Marzuola: Eigenvalue spacing for 1d Schrödinger operators, Asymptotical Analysis, to appear.
  • Upcoming invited talk: Analysis Seminar, Oklahoma University (February 13, 2023)
  • Upcoming invited talk: Seminar, Purdue University (February 20, 2023)

Jason Metcalfe, Professor

• • 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

• • Newly accepted: K. R. Rajagopal and C. Rodriguez: On evolving natural curvature for an inextensible, unshearable, viscoelastic rod. Journal of Elasticity, to appear.
  • Newly accepted: K. R. Rajagopal and C. Rodriguez: On an elastic strain-limiting special Cosserat rod model. Mathematical Models and Methods in Applied Sciences, to appear.
  • Upcoming invited talk:  Special Session, Spring Central Sectional Meeting of the AMS, University of Cincinnati (April 15-16, 2023)

Michael Taylor, William R. Kenan Distinguished Professor

• • Newly submitted: M. Taylor: Gauss-Green formulas on domains with non-rectifiable boundaries
  • Newly posted: M. Taylor: Introduction to Lie Groups, Open Math Notes, AMS.
  • Newly posted: M. Taylor: Short course on pseudodifferential operators, Open Math Notes, AMS

Jian Wang, Postdoctoral Fellow

• • Newly posted: J. Galkowski, P. Marchand, J. Wang, and M. Zworski: The scattering phase: seen at last.