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

• • Presentation: Fall 2023 TAGMaC at NCSU

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

• • Newly posted: A. Lyons: Nodal sets of Laplacian Eigenfunctions with an eigenvalue of multiplicity 2.
  • Presentation: Fall 2023 TAGMaC at NCSU

Jeremy Marzuola, Professor

• • Newly posted:  Roy H. Goodman, Grace Conte, and Jeremy L. Marzuola QGLab: A MatLab Package for Computations on Quantum Graphs
  • Newly accepted:  Kiril Datchev, Jeremy L. Marzuola and Jared Wunsch, Newton polygons and resonances of multiple delta-potentials.  Trans. Amer. Math. Soc., to appear.
  • Newly accepted:  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., to appear.
  • Upcoming Invited Talk:  Georgia Tech PDE Seminar (March 12, 2024)
  • Upcoming Invited Talk: Berkeley PDE Seminar (March 15, 2024)
  • Presentation: George Mason University Applied & Computational Mathematics Seminar (September 29, 2023)

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

• • Newly posted: J. Wang and M. Williams: Transport of nonlinear oscillations along rays that graze a convex obstacle to any order
  • Newly accepted: H. Christianson, J. Wang, and R. P. T. Wang, Control estimates for 0th-order pseudodifferential operators, International Mathematics Research Notices, published online.
  • Newly accepted: S. Dyatlov, J. Wang, and M. Zworski, Mathematics of internal waves in a 2D aquarium, to appear in Analysis & PDE.
  • Upcoming Invited Talk: Colloquium, the University of Melbourne (February 6, 2024)
  • Upcoming Invited Talk: Colloquium, Texas A&M University (January 25, 2024)
  • Upcoming Invited Talk: Colloquium, the University of Pittsburgh (January 23, 2024)
  • Presentation: PDE Seminar, Laboratoire de Mathématiques d’Orsay (November 23, 2023)
  • Presentation: Microlocal Analysis Seminar (online), Tsinghua University and Fudan University (November 14, 2023)
  • Presentation: M. E. Taylor Analysis and PDE Seminar, UNC (November 1, 2023)

Mark Williams, Professor

• • Newly posted: J. Wang and M. Williams: Transport of nonlinear oscillations along rays that graze a convex obstacle to any order