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              <text>Professor Alexander Dobson</text>
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              <text>This study investigates the relationship between urban slum populations and key economic indicators across districts in Karnataka, integrating behavioural economics insights into conventional regression analysis. Using district-level data on Gross District Domestic Product (GDDP), Per Capita Income (PCI), and slum populations, an Ordinary Least Squares (OLS) regression model was estimated to examine the economic determinants of slum persistence. The model explains approximately 67.7% of the variation in slum populations (R² = 0.677) and reveals a statistically significant positive association between GDDP and slum population.</text>
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                <text>Anirudh Nagaraj</text>
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              <text>This study examines the impact of the Pradhan Mantri MUDRA Yojana (PMMY) on enterprise creation in India, addressing a gap in the literature that emphasises loan trends rather than causal outcomes. Using panel data from 33 states and union territories between 2011–2021, fixed-effects regressions estimate the relationship between per-capita PMMY disbursements and MSME registrations. The results show a marked rise in MSME formation after the scheme’s launch in 2015, with per-capita lending associated with nearly one additional MSME per 1,000 people in the following year. This relationship remains robust after controlling for income, banking infrastructure and national shocks, though significant variation exists across states. Wealthier states display stronger impacts, while poorer or infrastructure-constrained regions benefit less. Interviews with beneficiaries support these patterns, indicating that although PMMY improves credit access, sustained enterprise growth also depends on market access, financial literacy and broader institutional support. </text>
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                <text>Aayush Bhandari</text>
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              <text>We prove a weaker version of the Diophantine property for the automorphism group of an infinite regular rooted tree of degree $d\geq 3$. </text>
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                <text>Timucin Oisin Gunaydin</text>
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              <text>This paper examines how central banks integrating sustainability initiatives into monetary policy affects macroeconomic stability. Using quarterly data for 184 countries from 2001 to 2024, we assess whether membership in the Network for Greening the Financial System (NGFS), as a proxy to show whether a central bank is sustainable, influences five macroeconomic variables: inflation, inflation volatility, GDP growth, GDP volatility, and unemployment. A series of pooled OLS and fixed effects regressions are used, while semi-structured interviews with central bank officials complement the quantitative analysis. The results indicate that NGFS membership is generally associated with greater macroeconomic stability in high-income economies, reflected in lower inflation, stronger growth, and reduced volatility. Interviewees from high- and middle-income countries agreed that their central banks did not recognise a trade-off between sustainability in central banking, and the effectiveness of monetary policy. However, regression results indicate that middle- and low-income countries experience trade-offs, possibly due to weaker institutional capacity and resource constraints.</text>
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                <text>How Effective is Monetary Policy for Macroeconomic Stabilisation when Environmental Sustainability is a Central Bank Objective?</text>
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                <text>How Effective is Monetary Policy for Macroeconomic Stabilisation when Environmental Sustainability is a Central Bank Objective?</text>
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                <text>2025</text>
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                <text>Soham Warikoo and Monisha Pandhi</text>
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              <text>With the rise and growing influence of what has been called ‘populist’ leaders and ideas, the concept of populism has gained significant relevance in recent years, both in academic and public discourse. Alongside this trend, anti-populism has emerged as a strong counterforce, critiquing the rise of populism and populist ideas. Scholars have shown that anti-populism, empowered through dominant public and media discourses on populism, has been a powerful lens through which to define the concept of populism itself. The latter has become increasingly misunderstood as a danger to democracy, while there in fact exist a variety of populisms, left- and right-wing, democratic and anti-democratic. This research project will therefore explore the difficulties associated with defining both populism and anti-populism as concepts and investigate the democratic potential of left-wing populist movements that have developed in response to democratic crises. Finally, I will explore how the media engages with populist ideas, figures and parties. This will include a focus on how the written media practises agenda-setting and deflection when discussing populism, as well as the role of populist hype in the euphemisation, trivialisation and amplification of populism through The Guardian’s articles.</text>
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                <text>Politics and International Studies </text>
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                <text>2025</text>
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                <text>Eliana Judd</text>
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                <text>Populism, Anti-populism, and Democracy: Rethinking Dominant Discourses on Populism</text>
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              <text>This article is a report for the Undergraduate Research Support Scheme (URSS) project that I carried out in the summer of 2025. The project was supervised by Helena Verrill at Warwick Mathematics Institute. This article is about P´olya’s enumeration theorem, a result that provides a method for counting objects that involves symmetry.</text>
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              <text>maths, mathematics, Pólya, theorem, enumeration, counting, combinatorics, polya, math</text>
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                <text>Arjun Maniyar</text>
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                <text>Pólya’s Enumeration Theorem</text>
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              <text>We investigated the matroid of the degree-d Macaulay matrix of a conic polynomial, a problem with applications in tropical geometry. Employing graph-theoretic methods and Macaulay2 programs, we analysed the $0$-determinant submatrices of the Macaulay matrix satisfying the Fink-Giansiracusa condition. We uncovered a novel method for generating singular submatrices satisfying this condition, in arbitrary degree, through the embedding of singular minors from lower degrees.</text>
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                <text>Xavier Gasper Ibrahim Adnan Khan</text>
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              <text>Despite its value, historical literature utilising the recently released government correspondence relating to the 1984-85 miners’ strike has been sparse. Sustained attention on how the government managed Media and PR in the strike has been even more limited. This essay seeks to make a novel contribution to the historiography of the strike by highlighting the Thatcher government’s media tactics during the most notorious British industrial dispute in living memory. It will do so by drawing heavily on primary material released in 2014, as well as existing literature on the broader government strategy in 1984-85.</text>
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              <text>Unsupervised machine learning clustering algorithms can be used in a variety of different ways to segment a market. This study uses such algorithms to perform benefit based market segmentation, grouping consumers of small businesses in the United States (US) into 3 segments based on how much they value various factors characterising a small business and its online presence. A recent method was used to decide how to apply clustering algorithms to our dataset. For a given algorithm, this method chooses the number of clusters to ensure that the clustering created is stable; however running the algorithm on individual clusters created by the first run of the algorithm produces unstable clusters.</text>
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                <text>Unsupervised Machine Learning for Benefit Based Market Segmentation: Insights into Small Business Consumers’ Online Engagement</text>
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              <text>This report contains our research output after participating in the 2025 Undergraduate Research Support Scheme (URSS) at the University of Warwick. The project was carried out with the Warwick Mathematics Institute (WMI) under the supervision of Helena Verrill. First, we introduce important concepts that we then use to study some of the properties of the stereographic projection. Using these properties, we investigate how this projection redistributes lattice points by extending Minkowski's theorem to sets on the sphere. We finish our project by developing and 3D printing models of the stereographic projection.</text>
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                <text>Alessandro Sainaghi</text>
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