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Overview

Katie Gittins

Assistant Professor, Analysis & Partial Differential Equations

PhD University of Bristol


Affiliations
AffiliationRoom numberTelephone
Assistant Professor, Analysis & Partial Differential Equations in the Department of Mathematical SciencesMCS3062+44 (0) 191 33 43133

Research interests

  • Spectral Geometry
  • Partial Differential Equations

Research groups

  • Applied & Computational Mathematics
  • Applied & Computational Mathematics: Analysis & Partial Differential Equations

Publications

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, Katie & Léna, Corentin (2020). Upper bounds for Courant-sharp Neumann and Robin eigenvalues. Bull. Soc. Math. France 148(1): 99-132.
  • 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. (2020). Courant-sharp Robin eigenvalues for the square: The case of negative Robin parameter. Asymptotic Analysis
  • van den Berg, M., Gilkey, P.B. & Gittins, K. (2020). Heat Flow from Polygons. Potential Analysis 53(3): 1043-1062.
  • 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.
  • Gittins, K. & Helffer, B. (2019). Courant-sharp Robin eigenvalues for the square and other planar domains. Portugaliae Mathematica 76(1): 57-100.
  • 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. (2017). MINIMIZING DIRICHLET EIGENVALUES on CUBOIDS of UNIT MEASURE. Mathematika 63(2): 469-482.
  • 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. (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. & 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.

Supervision students