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MiS Profile

Peter Smillie

Research Interests

I am a differential geometer working on topics surrounding harmonic maps and Teichmuller theory. I like moduli spaces of geometric structures, and particularly like geometric structures on moduli spaces.

Positions and grants

  • W2-Juniorprofessor, Max Planck Institut für Mathematik, Leipzig, starting April 2024
  • W1-Juniorprofessor “Geometry plus”, Universität Heidelberg, 2022 - 2024
  • Research project “Organic Materials by Geometrical Design,” Heidelberg Institute for Theoretical Studies, 2022-
  • Bateman Research Instructor, Caltech, 2019 - 2022
  • Visitor, IHES. Fa. 2018.
  • NSF Graduate Research Fellowship, 2011 - 2014

Education

  • Ph.D. Mathematics, Harvard University. June 2018.
    Advisor: Shing-Tung Yau
  • B.S. Mathematics, Stanford University, 2011.

Publications

Activities

  • Differential geometry I, Heidelberg, Sum. 2023
  • Seminar: Minimal surfaces, Heidelberg, Win. 2022
  • 109c: Differential topology, Caltech, Spr 2022
  • Complex geometry, Caltech, Win. 2022
  • Harmonic maps and integrable systems, Caltech, Spr 2021
  • 109b: Differential geometry of surfaces, Caltech, Win. 2020 and Win. 2021
  • 109a: Introduction to topology, Caltech, Fa. 2020
  • Harmonic maps, Caltech, Fa. 2019
  • Minimal Surfaces, Caltech, Spr. 2019
  • 157a: Riemannian Geometry, Caltech, Win. 2019, Win. 2020, and Fa. 2021
  • 21a: Multivariable Calculus, Harvard, Fa. 2014, Fa. 2015, Spr. 2016, Fa. 2017
  • Course Assistant, Differential Geometry, National Taiwan University, Fa. 2013 - Spr. 2014
  • Course Assistant, 213br: Advanced Complex Analysis, Harvard, Spr. 2013
  • Dominique Ostermayer, Ph.D. at Heidelberg Institute for Theoretical Studies (HITS), joint supervision with Ganna Gryn’ova, 2023-.
  • Marcel Eichberg, master’s thesis at Heidelberg, 2023-2024. Topic: Kudla-Millson theory and fullerene graphs.
  • Alexander Baucke, Heidelberg experimental geometry lab (HEGL) independent project 2023. Topic: Penrose tilings of closed surfaces.
  • Julia Piazolo, bachelor’s thesis at Heidelberg, 2023. Topic: Index of minimal surfaces.
  • Miles Cua, SURF summer undergraduate research at Caltech, 2021. Topic: Harmonic maps and the null support function.
  • Minimal surfaces in symmetric spaces, Granada, 2023
  • Northern Germany differential geometry day, Kiel, 2023
  • Luxembourg Differential geometry seminar, 2023
  • Maryland Geometry/topology seminar, 2023
  • Heidelberg HITS colloquium, 2023
  • Heidelberg Jour Fixe, 2023
  • Bonn Differential geometry seminar, 2022
  • Jussieu Geometry seminar, 2022
  • IISC Geometry/topology seminar, 2022
  • Heidelberg CP7 seminar, 2022
  • Geometric Structures (re)United, UIC, 2022
  • UConn PDE and differential geometry seminar, 2021
  • UC Riverside Geometry and topology seminar, 2021
  • USC Geometry, topology, and categorification seminar, 2020
  • Purdue Topology seminar, 2020
  • Dynamical aspects of pseudo-Riemannian geometry, Braga 2020
  • Princeton DG/GA seminar, 2020
  • USC Geometry, topology, and categorification seminar, 2019
  • Differentialgeometrie im Grossen, Oberwolfach, 2019
  • Higher Teichmuller Theory, Pavia, 2019
  • Glasgow Geometry and topology seminar, 2018
  • Warwick Geometry and topology seminar, 2018
  • Séminaire géométrie, analyse et dynamique, Nice, 2018
  • Jussieu Geometry seminar, 2018
  • Orsay Geometrie topology and dynamics seminar, 2018
  • BIRS-CMO workshop on Higgs Bundles, Oaxaca, 2018
  • UChicago Geometric analysis seminar, 2018
  • UUtah, Max Dehn seminar, 2018
  • Luxembourg Differential geometry seminar, 2018
  • AMS sectional meeting, Riverside, 2017
  • Harvard Differential geometry seminar, 2017
  • Brown Geometry/topology seminar 2017
  • Luxembourg Differential geometry seminar 2017
  • Pavia Geometry seminar, 2017