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

• • Presentation: Geometry and Topology Seminar, Duke University (March 20, 2023)
  • Presentation: Continuum Mechanics Seminar, University of Nebraska-Lincoln (March 30, 2023)
  • Upcoming invited talk: Geometric Analysis Seminar, University of Oregon (May 16, 2023)
  • Upcoming invited talk: Differential Geometry/PDE Seminar, University of Washington (May 17, 2023)
  • Upcoming invited talk: Birthday Conference for Mikhail Safonov, Seoul, South Korea (June 20, 2023)
  • Newly accepted: A. Bhattacharya, J. Chen, and M. Warren: Regularity of Hamiltonian stationary equations in symplectic manifolds, Adv. Math., to appear.
  • Newly accepted: A. Bhattacharya, The Dirichlet problem for the Lagrangian mean curvature equation, Analysis & PDE, to appear.

Benjamin Bechtold, Graduate Student

• • Successfully completed the Departmental Oral Exam (February 2023)

Madelyne Brown, Graduate Student

• • Newly accepted: M. Brown: On the growth of generalized Fourier coefficients of restricted eigenfunctions.  Comm. PDE, to appear.
  • Elected President of UNC’s Graduate Math Associate (GMA) for the 2023-24 academic year.

Yaiza Canzani, Associate Professor

• • Newly accepted: Y. Canzani and J. Toth:  Lower bounds for eigenfunction restrictions in lacunary regions.  Communications in Mathematical Physics, to appear.

Hans Christianson, Professor

• • Newly posted: H. Christianson, J. Wang, and R. P. T. Wang: Control estimates for 0th order pseudodifferential operators.
  • Presentation: Tsinghua-Fudan joint online seminar on microlocal analysis (April 28, 2023)

Casey Rodriguez, Assistant Professor

• • Newly posted: C. Rodriguez, Elastic solids with strain-gradient elastic boundary surfaces.
  • Newly posted: K. R. Rajagopal and C. Rodriguez, Special Cosserat rods with rate-dependent evolving natural configurations.
  • Upcoming invited talk: 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, UNC-Wilmington (May 31-June 4, 2023).

Jian Wang, Postdoctoral Fellow

• • Newly posted: H. Christianson, J. Wang, and R. P. T. Wang: Control estimates for 0th order pseudodifferential operators.
  • Presentation: Analysis and PDE Seminar, University of California at Berkeley (April 10, 2023)
  • Upcoming invited talk: Analysis Seminar, Northwestern University (May 15, 2023).