Profile

Pascal Stiefenhofer is a mathematician and economist. He joined the Newcastle Business School from the University of Exeter, where he was Deputy Director of Education. Pascal received a PhD in Mathematics (Dynamical Systems Theory, EPSRC Scholarship) and a PhD in Economics (Applications of Differential Topology/Geometry to General Equilibrium Theory, ESRC Scholarship). He previously worked at the University College London (Department of Statistical Sciences) and the University of York (Department of Economics and Related Studies). His current research includes artificial intelligence and machine learning in the context of social science data, applied econometrics, economic theory, and dynamical systems theory and its applications. He supervises PhD students in these areas.

Pascal is an experienced mathematics educator with education research interests in teaching mathematics to non-mathematicians and financial literacy.

Pascal’s teaching expertise is advanced mathematics for economics, the theory of mathematical proof, machine learning, artificial intelligence, mathematical statistics, and econometrics.

• Machine Learning and Artificial Intelligence
• Mathematics for Machine Learning and Artificial Intelligence
• Applied Mathematics (Mathematics for Data Science, Economists)

Pascal’s research interests span a wide range of topics in applied mathematics. His most recent work focuses on developing artificial intelligence-based systems and machine learning models to analyze social science data, particularly in the context of sustainable economics and finance. His research covers areas such as green energy economics, electric vehicle markets, resource misallocation, ethical production and consumption, and ethical artificial intelligence. Showcase: Ethical Consumption

Pascal, a mathematician and economist, collaborates with industrial partners to translate theoretical concepts into impactful industrial applications. His current research fosters discussions about the rise of ethical consumers and how businesses can utilize "ethical industrial artificial intelligence" to meet evolving consumer demands. He is also exploring the concept of creativity in artificial intelligence, aiming to drive positive changes in business processes and marketing strategies.

Additionally, Pascal is interested in education research, particularly in areas such as mathematics anxiety, consumer financial literacy and its economic implications, and the intersections of human and machine learning in education. He is open to collaborating with industrial partners on various aspects of financial literacy, offering expertise in impact evaluations, literature reviews, data analysis, concept development and evaluation, policy evaluations, and experimental behavioral finance.

Pascal has also extensively researched general equilibrium theory in the context of incomplete financial markets. He employs differential geometry and topology to study economic equilibrium properties and uses catastrophe theory to model production processes and firm financing. His recent findings highlight discontinuities in production that can lead to disruptive profits or the misallocation of economic resources.

I supervise PhD students in the areas above.

• Articles

  • Stiefenhofer P. Overlooked and Invisible: A Profile of the Japanese Educated Working Poor. Advances in Social Sciences Research Journal 2023, 10(10), 173-179.
  • Stiefenhofer P, Chen Y. Industrial Artificial Intelligence: Stability of Cobb-Douglas Production Functions. Applied Mathematical Sciences 2024, 18, 185-194.
  • Stiefenhofer P, Zhang V. Attitudes Towards Student-Centered Learning with Jupyter notebooks in Econometrics: A Semantic Analysis. Journal of Innovative Technology and Education 2024, 10(1), 7-15.
  • Stiefenhofer P, Ding W, Zhang V, Xie L. Fuzzy Evaluations Mappings to Model Opinions: Assessing Academic Quality in Technology Enhanced Learning Environments. Applied Mathematical Sciences 2023, 17(4), 189-204.
  • Stiefenhofer P, Xie L, Wildish-Jones K. Emergency Remote Teaching and Programme Intervention: Towards a Human-Machine Pedagogy based on Interactive Learning Documents. Creative Education 2022, 13, 3690-3714.
  • Stiefenhofer P, Zhang W. Conspicuous Ethics: A Veblen Effect Condition for Ethical Consumption Goods. Applied Economics Letters 2022, 29(1), 72-74.
  • Stiefenhofer P. Towards Understanding Prices and Ethics: Ethical Consumers with Price-Dependent Utilities. Journal of Theoretical Economics Letters 2021, 11(3), 477-484.
  • Stiefenhofer P. Conspicuous Ethics: Existence of Price Dependent Ethical Utility Functions. Applied Mathematics 2021, 12(4), 252-261.
  • Stiefenhofer P, Ze F, Gregoriou A. Pricing Variance Swaps with Stochastic Volatility. Mathematical and Statistical Economics 2020, 2(1), 11-16.
  • Stiefenhofer P, Kumar S, Gregoriou A. Pricing Quanto Forward and European Options. Mathematical and Statistical Economics 2020, 2(1), 17-27.
  • Stiefenhofer P. Economic Stability of Non-Smooth Periodic Orbits in the Plane: Omega Limit Sets Part II. Nonlinear Analysis and Differential Equations 2020, 8(1), 53-65.
  • Stiefenhofer P. Economic Stability of Non-Smooth Periodic Orbits in the Plane: Omega Limit Sets Part I. Nonlinear Analysis and Differential Equations 2020, 8(1), 41-52.
  • Stiefenhofer P, Giesl P. Switching Regimes in Economics: The Contraction Mapping and the ω-Limit Set. Applied Mathematics 2019, 10(7), 513-520.
  • Stiefenhofer P, Giesl P. Economic periodic orbits: a theory of exponential asymptotic stability. Nonlinear Analysis and Differential Equations 2019, 7(1), 9-16.
  • Stiefenhofer P. Conspicuous Ethical Consumption. Theoretical Economics Letters 2019, 9(1), 1-8.
  • Stiefenhofer P, Giesl P, Wagner H. A system of inverted nonsmooth pendula: modelling an elderly person stepping over an obstacle. Nonlinear Analysis and Differential Equations 2019, 7(1), 17-32.
  • Stiefenhofer P. Existence of Financial Equilibria in a General Equilibrium Model with Piece-Wise Smooth Production Manifolds. Journal of Mathematical Finance 2017, 7(3), 671-681.
  • Stiefenhofer P. Catastrophe Theory and Postmodern General Equilibrium: Some Critical Observations. Applied Mathematical Sciences 2017, 11(48), 2383-2391.
  • Stiefenhofer P. Production in General Equilibrium with Incomplete Financial Markets. Journal of Mathematical Finance 2016, 6(2), 293-302.
  • Stiefenhofer P. Topological Properties of the Catastrophe Map of a General Equilibrium Production Model with Uncertain States of Nature. Applied Mathematics 2014, 5(17), 2719-2727.
  • Stiefenhofer P. Welfare Analysis of General Equilibrium Models of Production with Incomplete Markets. International Journal of Money, Banking and Finance 2013.
  • Stiefenhofer P. The Catastrophe Map of a Two Period Production Model with Uncertainty. Applied Mathematics 2013, 8(A), 114-121.
  • Stiefenhofer P. Corporate Equilibrium Properties of a Centralized Objective Function GEI Model. International Journal of Business Insights and Transformations 2013. In Preparation.
  • Stiefenhofer P. An Application of Convex Analysis to General Equilibrium Theory with Incomplete Financial Markets. Journal of Mathematics, Statistics, and Operation Research 2013, 2(1).
  • Stiefenhofer P. The catastrophe map: Properties of a production model with uncertainty. Journal on Business Review 2012.
  • Stiefenhofer P. Firms under Uncertainty: Finiteness of Equilibria. Global Business Review 2012.
  • Stiefenhofer P. A Theorem on the Decentralization of the Objective Function of the Firm in GEI. Journal of Mathematics, Statistics, and Operation Research 2012.

• Book Chapters

  • Stiefenhofer P, Cafer D, Chen Y, Qian J, Almehthel H. The Future of Sustainable Finance: AI-Driven Sustainable Pairs Trading in Market-Neutral Investing. In: Walker T; Gramlich D; Sadati A, ed. Artificial Intelligence, Finance, and Sustainability: Economic, Ecological, and Ethical Implications. Palgrave Macmillan, 2024, pp.111–142.
  • Cortinhas C, Stiefenhofer P. Undergraduate Research in Economics. In: Mieg HA; Ambos E; Brew A; Galli D; Lehmann J, ed. Cambridge Handbook of Undergraduate Research. Cambridge: Cambridge University Press, 2022, pp.293-302.

• Conference Proceedings (inc. Abstract)

  • Stiefenhofer P. Towards a Characterization of the Ethical Consumer: Conspicuous Ethics. In: Academics World 96th International Conference. 2018, Kyoto, Japan: Academics world.

• Working Papers

  • Stiefenhofer P. The Natural Projection Approach to Production and Uncertainty. The University of York Discussion Papers Series 2011.
  • Stiefenhofer P. Finiteness of Equilibria in Production Economies with Uncertainty. The University of York Discussion Papers Series 2011.
  • Stiefenhofer P. Equilibrium Structure of Production Economies with Uncertainty: The Natural Projection Approach. The University of York Discussion Papers Series 2011.
  • Stiefenhofer P. Endogenous Incomplete Markets: A Production Model with Idiosyncratic Risk. The University of York Discussion Papers Series 2010.
  • Stiefenofer P. A General Equilibrium Corporate Finance Theorem: A Special Case. 2010.
  • Stiefenhofer P. Production in General Equilibrium with Incomplete Markets. The University of York Discussion Papers Series 2009.
  • Stiefenhofer P. Offshoring Outsourcing in the Pharmaceutical Industry: Challenges and Opportunities of Globalization. University of Applied Sciences Northwestern Switzerland 2004.