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.

Benjamin Bechtold, Graduate Student

• • Presentation: Spring 2024 TAGMaC at UNC

Arunima Bhattacharya, Assistant Professor

• • Newly posted: A. Bhattacharya and J. Wall,  Hessian estimates for shrinkers, expanders, translators, and rotators of the Lagrangian mean curvature flow
  • Newly accepted: J. Bernstein and A. Bhattacharya, Minimal surfaces and Colding-Minicozzi entropy in the complex hyperbolic space, Geometriae Dedicata, 218 (2024), no. 3, 61.
  • Upcoming invited mini course: Tata Institute of Fundamental Research, India, January 2025.
  • Upcoming plenary talk:  European Congress of Mathematics, Satellite conference, Coimbra, Portugal.  July 2024.

Maddie Brown, Graduate Student

• • Presentation: Spring 2024 TAGMaC at UNC

Hans Christianson, Professor

• • Newly posted: H. Christianson and J. Toth, Small-Scale Mass Estimates for Neumann Eigenfunctions: Piecewise Smooth Planar Domains
  • Newly posted: H. Christianson and J. Toth, Quantum Flux and Quantum Ergodicity for Cross Sections
  • Upcoming invited talk: Microlocal Analysis and Quantum Dynamics 2024 (24-28 June 2024)

Andrew Lyons, Graduate Student

• • Presentation: Spring 2024 TAGMaC at UNC

Jeremy Marzuola, Professor

• • Newly appeared:  Kiril Datchev, Jeremy L. Marzuola and Jared Wunsch, Newton polygons and resonances of multiple delta-potentials. Trans. Amer. Math. Soc., Vol. 377, No. 3 (2024), 2009-2025.
  • Newly appeared:  Zachary M. Boyd, Nicolas Fraiman, Jeremy L. Marzuola, Peter J. Mucha, and Braxton Osting, Escape times for subgraph detection and graph partitioning. SIAM J. Matrix Anal., Vol. 45, No. 1 (2024), 685-711.
  • Upcoming Invited Talk:  Conference on Mathematical and Statistical Tools for High Dimensional Data on Compressive Networks, Casa Matematica Oaxaca, May 29, 2024
  • Upcoming Invited Talk: 81st Fujihara Seminar (Mathematical Aspects for Interfaces and Free Boundaries), Sapporo, Japan, June 3rd, 2024
  • Upcoming Invited Talk:  Workshop on Metric Networks, Frankfurt, Germany,  July 18th, 2024

Casey Rodriguez, Assistant Professor

• • Newly accepted: C. Rodriguez, Elastic solids with strain-gradient elastic boundary surfaces, J. Elast., to appear
  • Upcoming Invited Talk: International Conference on Nonlinear Solid Mechanics, Facoltà di Ingegneria e Architettura, University of Cagliari, Italy (June 11-14 2024)

Jeremy Wall, Graduate Student

• • Presentation: Spring 2024 TaGMaC at UNC
  • Presentation: M. E. Taylor Analysis and PDE Seminar, UNC-CH (April 17, 2024)
  • Newly Posted: Arunima Bhattacharya and J. Wall, Hessian estimates for shrinkers, expanders, translators, and rotators of the Lagrangian Mean Curvature Flow

Timothy Van Hoose, Graduate Student

• • Presentation: Spring 2024 TAGMaC at UNC