Applied Mathematics in Quantitative Finance and Risk Management: Theory, Evidence, and Applications

Dear Colleagues,

Quantitative finance has become a core pillar of modern financial research and practice. It covers asset pricing, portfolio allocation, derivatives markets, trading mechanisms, and market microstructure, and—driven by advances in data science and computing technologies—continues to expand into broader settings for inference, forecasting, and decision making. Meanwhile, the financial system has become increasingly complex and interconnected. The interactions among leverage and liquidity cycles, technological innovation, climate transition, and geopolitical uncertainty make the formation of risk and return more dynamic and nonlinear, and raise higher demands for robust risk measurement, pricing, and management. Against this backdrop, there is a pressing need for rigorous quantitative research grounded in financial mathematics, statistics/econometrics, and computational methods to bridge theoretical innovation and real-world applications.

This Special Issue aims to advance frontier research at the intersection of financial mathematics, quantitative finance, and risk management, promoting deeper connections between methodological developments and practical applications. We welcome high-quality original research articles and authoritative survey papers. We particularly encourage submissions that propose new ideas and tools in theoretical modeling, empirical identification, and computational methods, while maintaining clear economic intuition and practical relevance. We expect this Special Issue to bring together the latest advances from both academia and industry, providing new evidence and insights to improve our understanding of market mechanisms, enhance investment and pricing models, and strengthen institutional risk management and the resilience of the financial system.

This Special Issue will accept high-quality papers containing original research results and survey articles of exceptional merit in the following fields (including but not limited to):

• Financial mathematics and quantitative research methods;
• Portfolio management and asset pricing;
• Ambiguity and robust decision making;
• Climate risk and sustainable investing;
• Quantitative trading and market structure;
• Derivatives markets and hedging strategies;
• AI- and data-driven finance;
• Digital finance and crypto-asset markets;
• Supply-chain shocks and financial markets;
• Liquidity risk and credit risk;
• Geopolitical risk and global financial markets;
• Cybersecurity and technology-related risks;
• Systemic risk, contagion, and financial stability;
• Stress testing, scenario analysis, and tail risk.

Dr. Jingzhou Yan
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.