Staff profile

• Spectral Geometry
• Partial Differential Equations

• Pure Mathematics: Analysis

Journal Article

• Colbois, Bruno & Gittins, Katie (2021). Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index. Differential Geometry and its Applications 78: 101777.
• Gittins, K. & Helffer, B. (2021). Courant-sharp Robin eigenvalues for the square: The case of negative Robin parameter. Asymptotic Analysis 124(1-2): 69-107.
• Gittins, Katie & Léna, Corentin (2020). Upper bounds for Courant-sharp Neumann and Robin eigenvalues. Bull. Soc. Math. France 148(1): 99-132.
• van den Berg, M., Gilkey, P.B. & Gittins, K. (2020). Heat Flow from Polygons. Potential Analysis 53(3): 1043-1062.
• Gittins, K. & Helffer, B. (2020). Courant-sharp Robin eigenvalues for the square: the case with small Robin parameter. Annales Mathematiques du Quebec 44(1): 91-123.
• Gittins, K. & Helffer, B. (2019). Courant-sharp Robin eigenvalues for the square and other planar domains. Portugaliae Mathematica 76(1): 57-100.
• Colbois, B., Girouard, A. & Gittins, K. (2019). Steklov Eigenvalues of Submanifolds with Prescribed Boundary in Euclidean Space. Journal of Geometric Analysis 29(2): 1811-1834.
• van den Berg, M. & Gittins, K. (2017). MINIMIZING DIRICHLET EIGENVALUES on CUBOIDS of UNIT MEASURE. Mathematika 63(2): 469-482.
• Gittins, K. & Larson, S. (2017). Asymptotic Behaviour of Cuboids Optimising Laplacian Eigenvalues. Integral Equations and Operator Theory 89(4): 607-629.
• van den Berg, M. & Gittins, K. (2016). On the Heat Content of a Polygon. Journal of Geometric Analysis 26(3): 2231-2264.
• van den Berg, M. & Gittins, K. (2016). On the number of Courant-sharp Dirichlet eigenvalues. Journal of Spectral Theory 6(4): 735-745.
• van den Berg, M., Bucur, D. & Gittins, K. (2016). Maximising Neumann eigenvalues on rectangles. Bulletin of the London Mathematical Society 48(5): 877-894.
• van den Berg, M. & Gittins, K. (2015). Uniform bounds for the heat content of open sets in Euclidean space. Differential Geometry and its Application 40: 67-85.
• Gittins, K., Peyerimhoff, N., Stoiciu, M. & Wirosoetisno, D. (2012). Some spectral applications of McMullen's Hausdorff dimension algorithm. Conformal geometry and dynamics 16(10): 184-203.