Peter Giesl - Curriculum Vitae

Education

1991-1997    Mathematics at the University of Hamburg
1991-1998    Composition at the Conservatory of Music, Hamburg, Germany
1995-1996    Mathematics at the Universite Paris-Sud - Centre d'Orsay, France and Composition at the CNSM Paris, France

Diplomas

1996     Maitrise de Mathematiques (Universite de Paris-Sud, France)
1997     Master of Science (Diplom) in Mathematics (University of Hamburg, Germany)
1998     Master of Arts (Diplom) in Composition (Conservatory of Music, Hamburg, Germany)
2000     Ph.D. in Mathematics (TU München, Germany)
2005     Postdoctoral Lecturing Qualification (Habilitation) in Mathematics (TU München, Germany)
2009     PGCert Learning and Teaching in Higher Education (University of Sussex, UK)

Professional Experience

1997-2000    Assistant Lecturer (Wissenschaftlicher Mitarbeiter), TU München, Germany
2000-2007    Assistant Professor (Wissenschaftlicher Assistent), TU München, Germany
2005-2006    Acting Professor (W2), University of Augsburg, Germany
2007-2012    Lecturer, University of Sussex, UK
2012-2014    Senior Lecturer, University of Sussex, UK
2014-2018    Reader, University of Sussex, UK
2018-            Professor, University of Sussex, UK

Grants

  • 500 €: Conference fees for the conference NOLCOS 2004, Framework Program 6, Marie Curie action of the European Commission
  • 10.000 €: Organisation of the Workshop Mathematical Stability Analysis in Biomechanics and Robotics, ZiF (Centre for interdisciplinary research) at the University of Bielefeld, Germany, February 15-17, 2007
  • £1,130: Royal Society Conference Grant to attend the AIMS Conference on Dynamical Systems and Differential Equations, University of Texas at Arlington, Texas, USA, May 2008
  • £600: London Mathematical Society, Collaborative Small Grant to support a research visit to Dr Matteo Franca, Marche Polytechnic University in Ancona, Italy, July 2010
  • £6,568: EPSRC Small Grant EP/H051627/1 together with Holger Wendland (University of Oxford), Project: Calculating the Basin of Attraction in Asymptotically Autonomous Dynamical Systems, May 2010-January 2011
  • £23,588: EPSRC Small Grant EP/J014532/1, Project: Analysing Sensitivity in Basins of Attraction using a Local Contraction Criterion, August 2012-July 2013
  • Co-Proposer (PI Sigurdur Hafstein), Icelandic Research Fund, Project: Algorithms to compute Lyapunov functions, 2013-2016
  • Co-Proposer (PI Sigurdur Hafstein, Co-Proposer Enrico Scalas), Icelandic Research Fund, Project: Lyapunov Methods and Stochastic Stability, 2015-2018
  • Co-Proposer (PI Sigurdur Hafstein, Co-Proposer Christopher Kellett and Holger Wendland ), Icelandic Research Fund, Project: Complete Lyapunov functions: Efficient numerical computation, 2016-2019
  • £350: London Mathematical Society, Collaborative Small Grant to support a research visit to Prof. Jürgen Giesl, RWTH Aachen University, Germany, November 2017
  • Co-Proposer (PI Sigurdur Hafstein, Co-Proposer Dirk Soeffker and Fateme Bakhshande), Icelandic Research Fund, Project: Linear Programming as an Alternative to LMIs for Stability Analysis of Switched Systems, 2022-2025

    • Organisation of Workshops or Minisymposia

  • Organisation of the workshop Mathematical Stability Analysis in Biomechanics and Robotics, ZiF (Centre for interdisciplinary research) at the University of Bielefeld, Germany, February 15-17, 2007 (with Heiko Wagner)
  • Organisation of the Workshop on Algorithms for Dynamical Systems and Lyapunov Functions, Reykjavik University, Iceland, July 17-19, 2013 (with Sigurdur Hafstein and Peter Kloeden)
  • Organisation of the Minisymposium 25 Numerical Methods in Dynamical Systems at the annual meeting of the Deutsche Mathematiker-Vereinigung (DMV), University of Hamburg, Germany, September 21-25, 2015 (with Sigurdur Hafstein)
  • Organisation of the workshop Feedback in Mathematics at University, University of Sussex, September 15-16, 2016
  • Member of the committee for the conference SciCADE 2021 (International Conference on Scientific Computation and Differential Equations) in Reykjavik, Iceland, July 25-28, 2022
  • Co-organiser of the Special Session Qualitative analysis of dynamical systems at the 29th Nordic Congress of Mathematicians in Aalborg University, Denmark, July 3-7, 2023

    • Editor

  • Complexity (2017-2024)
  • Far East Journal of Dynamical Systems (2012-2018)
  • Special Section Computational methods for Lyapunov functions for the Journal Discrete and Continuous Dynamical Systems Series B, Volume 20, Number 8, October 2015, pp. 2291-2526.
  • Special Issue on computation of Lyapunov functions and contraction metrics for the Journal of Computational Dynamics, Volume 10, Number 1, January 2023, pp. 1-267, with preface i-iv.

    • External Contributions to Teaching

  • Chair of the re-validation panel (2016) of PG Cert Leadership and Management & PG Cert in Coaching, Roffey Park Institute
  • External subject specialist (2017) for the Periodic Programme Review of the Mathematics programmes at City, University of London
  • External Examiner at Imperial College London (2019/20-2022/23) for BSc and MSci Mathematics programmes (UG) and MSc Applied Mathematics programme (PG)
  • External Advisor for new Mathematics Programmes Approval at City, University of London (2022)

    • Memberships

    2000-           Member of the DMV (German Mathematical Society)
    2005-2009   Member of the Young Researcher's Network at the ZiF (Center for interdisciplinary Research) at the University of Bielefeld, Germany
    2008-           Member of the LMS (London Mathematical Society)

    Teaching Awards

    2003           Felix-Klein Teaching Award of the Department of Mathematics at the Technical University of Munich
    2012           MPS Teaching Award, University of Sussex
    2015           Student-led Teaching Award, University of Sussex
    2015           Excellence in Teaching Award, University of Sussex
    2016           Student-led Teaching Award, University of Sussex
    2016           University Teaching Innovation Prize, University of Sussex, 2015/16: £5,000 to fund a workshop on Feedback in Mathematics at University, 15-16 September 2016 and a school awayday, 17 May 2017

    Internal Contributions to University

  • Deputy Chair of the UG Examination Board for Mathematics, 2009-2012
  • Chair of the Teaching and Learning Committee, Department of Mathematics, 2013-16
  • Director of Teaching and Learning (School of Mathematical and Physical Sciences), 2014-17
  • Member of Senate, 2018-20
  • Head of Department of Mathematics, 2022-

    • Teaching at the TU München
     
    1997/1998  Exercise Class Analysis I/II
    1998/1999  Exercise Class Linear Algebra I/II
    Winter 1999/2000 Exercise Class Nonlinear Dynamics (in English)
    Summer 2000 Exercise Class Partial Differential Equations and Dynamical Systems
    Winter 2000/2001  Exercise Class Mathematics 3 for Physics Students
    Summer 2001 Exercise Class Mathematics 4 for Physics Students
    Seminar Deterministic Models in Biology
    Winter 2001/02 Course and Exercise Class Nonlinear Dynamics (in English)
    Exercise Class Mathematics I for Electro-technical Engineers
    Summer 2002 Seminar Dynamical Systems
    Exercise Class Mathematics II for Electro-technical Engineers
    2002/03 Exercise Class Mathematics III/IV for Electro-technical Engineers
    Winter 2003/04 Course and Exercise Class Basins of attraction of dynamical systems and  Algorithms for their determination (Felix-Klein Teaching Award) 
    Summer 2004
    		 Exercise Class Analysis IV
    Winter 2004/05
    		 Exercise Class Mathematics 1 for Civil Engineers
    Seminar Dynamical Systems in Biology (in English)
    Summer 2005
    		 Exercise Class Mathematics 2 for Civil Engineers
    Winter 2006/07
    		 Course and Exercise Class Nonlinear Dynamics for Mechnical Engineers and Phyics students
    Summer 2007
    		 Proseminar p-adic numbers
    Exercise Classes Mathematics 2 for Electro-technical Engineers


    Teaching at the University of Augsburg

    2005/2006 Course and Exercise Class Linear Algebra I/II
    Seminar Dynamical Systems and Control Theory

    Teaching at the University of Sussex
     





    2007/08  Applied Mathematics
    2008/09 Applied Mathematics
    Mathematical Methods I (for Engineers)
    2009/10 Applied Mathematics
    Partial Differential Equations
    2010/11 Applied Mathematics
    Partial Differential Equations
    2011/12 Analysis
    Partial Differential Equations
    2012/13 Analysis 1
    Differential Equations
    Special Topics in Mathematics: Dynamical Systems
    2013/14 Differential Equations
    Dynamical Systems
    2014/15 Dynamical Systems
    2015/16 Dynamical Systems
    2016/17 Dynamical Systems
    2018/19 Analysis 1
    Differential Equations
    Starting to Teach (MPS)
    2019/20 Analysis 1
    Fundamentals of Teaching & Learning in Higher Education (MPS)
    2020/21 Analysis 1
    Fundamentals of Teaching & Learning in Higher Education (MPS)
    2021/22 Analysis 2
    Dynamical Systems
    Fundamentals of Teaching & Learning in Higher Education (MPS)
    2022/23 Differential Equations with Modelling
    Fundamentals of Teaching & Learning in Higher Education (MPS)
    2023/24 Differential Equations with Modelling
    2024/25 Linear Algebra 1

     

    Supervision of PhD Theses (awarded)

     2016    Pascal Stiefenhofer: Stability Analysis of Non-Smooth Dynamical Systems with an Application to Biomechanics

    2016    James McMichen: Determination of Areas and Basins of Attraction in Planar Dynamical Systems using Meshless Collocation

    2016    Najla Mohammed: Grid refinement and verification estimates for the RBF construction method of Lyapunov functions

    2023    Julia Jackiewicz: CPA Lyapunov functions for time-periodic systems

     

    Supervision of other Theses

    2001    Dorothea Meisel (Teacher's Thesis): Mathematical Analysis of the Stability Properties of the Muscle-skeletal-system, considering as example of the elbow joint (in German)
    2002    Cornelia Schwarz (Project Thesis):  Determination of a periodic orbit and approximation of its basin of attraction for a three-dimensional model of a centrifuge-controller (in German)
    2004    Jing Chen (Master Thesis, Master of Mathematics in the Biosciences): Stability of the movements of the elbow joint
    2004    Klaus Fangmann (Project Thesis): Approximation of the basin of attraction for two- and three-dimensional chemostat models
    2010    Haruna Sasaki (MMath Dissertation): Floquet Theory
    2010    Richard Haynes (MMath Dissertation): Radial Basis Functions: Comparing the techniques of embedding a periodic function into R^2 and making the radial basis function periodic
    2010    Charlotte Allegre (MMath Dissertation): Determination of the Basin of Attraction using Radial Basis Functions
    2011    Daniel Alaje (MSc Dissertation): p-adic absolute value
    2011    Najla Mohammed (MSc Dissertation): "Impossible Approximation" with Radial Basis Functions
    2012    Thomas Hedger (BSc Dissertation): The p-adic Absolute Value
    2012    Ime Okonna (MSc Dissertation): Dynamical Systems
    2012    Malini S C Bose (MSc Dissertation): p-adic absolute value
    2013    Rebecca Read (BSc Dissertation): Music and Mathematics: The History of Tuning Systems and Ternary Continued Fractions
    2013    George Furtado O'Mahony (BSc Dissertation): Basins of Attraction for Nonlinear Ordinary Differential Equations
    2013    Aaron Ford (MMath Dissertation): Music and Mathematics: Tuning Systems and Continued Fractions
    2013    Steven Goodall (MMath Dissertation): Using Lyapunov and Radial Basis Functions to approximate Basins of Attraction in Discrete Dynamical Systems
    2013    Michael Reaney (MMath Dissertation): Calculating Basins of Attraction with Radial Basis Functions
    2014    James Miles (MMath Dissertation): Music and Mathematics: tuning systems and continued fractions
    2014    Blake Ashworth (MMath Dissertation): Zubov's equation
    2014    Alex Rose (MMath Dissertation): Construction of Lyapunov Functions by Numerical Integration
    2015    Jack Lovett (MSc Dissertation): Meshless Collocation of Zubov's Equation
    2016    Paul Eggleton (BSc Dissertation): Nonsmooth Ordinary Differential Equations
    2016    Kane Brady (MMath Dissertation): Bifurcations in Nonsmooth Ordinary Differential Equations
    2016    Tom Atherton (Research Placement Project): RBF Method for the Construction of Lyapunov Functions
    2016    Conor Osborne (Research Placement Project): Lyapunov Functions and Level Sets of Continuous Piecewise Affine Functions
    2017    Ross McKenzie (MMath Dissertation): Delay Differential Equations
    2017    Kieron Holmes (MMath Dissertation): Delay Differential Equations and Lyapunov Functions
    2017    John Osei (MSc Dissertation): Stability Analysis of Autonomous and Time-Periodic Ordinary Differential Equations
    2017    Sibakumar Pun (MSc Dissertation): Lyapunov functions for Delayed Differential Equations
    2017    Tom Atherton (Research Placement Project): Error Analysis of Construction of Lyapunov Functions using Radial Basis Functions
    2017    Conor Osborne (Research Placement Project): Lyapunov Functions and Level Sets of Continuous Piecewise Affine Functions in Two Dimensions
    2018    Conor Osborne (Research Placement Project): Lyapunov functions and level sets of continuous piecewise affine functions in higher dimensions
    2019    Tyler Stevens (MSc Dissertation): The dimension of attractors in first-order systems of ordinary differential equations
    2019    Zachary Langhorne (MMath Dissertation): Calculating the complete Lyapunov function for discrete dynamical systems using radial basis functions
    2019    Fred De Godoi Knight (Research Placement Project): Jordan Canonical Form
    2019    Jennifer Ward (Research Placement Project): Jordan Canonical Form of Matrices
    2020    Fred De Godoi Knight (Research Placement Project): Basin of Attraction of Dynamical Systems
    2020    Jennifer Ward (Research Placement Project): Lyapunov Functions
    2020    Sareena Pokkakkillath (Research Placement Project): Jordan Canonical Form
    2021    Jennifer Ward (Research Placement Project): Lyapunov functions of switched systems
    2021    Sareena Pokkakkillath (Research Placement Project): Calculation of contraction metrics
    2022    Keeler Brunet (BSc Dissertation): A Look Into the Links Between Mathematics and Music
    2022    Clara Fiderio (MMath Dissertation): Dimension of Attractors in Dynamical Systems
    2022    Ezra Goldsmith (MMath Dissertation): Dimension of Attractors in Dynamical Systems
    2022    Jordan Boote (MMath Dissertation): Computational analysis of periodic orbits in non-smooth differential equations
    2022    Rob Maidment (Research Placement Project): Jordan Normal Form
    2022    Dylan Hutcheson (Research Placement Project): Jordan Canonical Form
    2022    Sareena Pokkakkillath (Research Placement Project): Contraction metrics for discrete-time dynamical systems
    2023    Sareena Pokkakkillath (MMath Dissertation): Continuous Piecewise Quadratic (CPQ) Functions
    2023    Ruby Keily-Thurstain (Research Placement Project): p-adic numbers


    Current students

         Norah Alsaiari, PhD student

    Jennifer Ward, PhD student


    Research

    Publications

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