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Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms (2023)
Journal Article
Egidi, M., Gittins, K., Habib, G., & Peyerimhoff, N. (2023). Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms. Journal of Spectral Theory, 13(4), 1297-1343. https://doi.org/10.4171/JST/480

In this paper we introduce the magnetic Hodge Laplacian, which is a generalization of the magnetic Laplacian on functions to differential forms. We consider various spectral results, which are known for the magnetic Laplacian on functions or for the... Read More about Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms.

Simple transferability estimation for regression tasks (2023)
Presentation / Conference Contribution
Nguyen, C. N., Tran, P., Ho, L., Dinh, V., Tran, A., Hassner, T., & Nguyen, C. V. (2023, July). Simple transferability estimation for regression tasks. Presented at The Conference on Uncertainty in Artificial Intelligence (UAI)

Generating, from scratch, the near-field asymptotic forms of scalar resistance functions for two unequal rigid spheres in low Reynolds number flow (2023)
Journal Article
Townsend, A. K. (2023). Generating, from scratch, the near-field asymptotic forms of scalar resistance functions for two unequal rigid spheres in low Reynolds number flow. Physics of Fluids, 35(12), Article 127126. https://doi.org/10.1063/5.0175697

The motion of rigid spherical particles suspended in a low Reynolds number fluid can be related to the forces, torques and stresslets acting upon them by 22 scalar resistance functions, commonly notated $X^A_{11}$, $X^A_{12}$, $Y^A_{11}$, etc. Near-f... Read More about Generating, from scratch, the near-field asymptotic forms of scalar resistance functions for two unequal rigid spheres in low Reynolds number flow.

Decoding Nature with Nature's Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing (2023)
Journal Article
Abel, S. A., Constantin, A., Harvey, T. R., Lukas, A., & Nutricati, L. A. (2024). Decoding Nature with Nature's Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing. Fortschritte der Physik, 72(2), Article 2300260. https://doi.org/10.1002/prop.202300260

The string theory landscape may include a multitude of ultraviolet embeddings of the Standard Model, but identifying these has proven difficult due to the enormous number of available string compactifications. Genetic Algorithms (GAs) represent a pow... Read More about Decoding Nature with Nature's Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing.

Proposer of the vote of thanks and contribution to the Discussion of ‘the Discussion Meeting on Probabilistic and statistical aspects of machine learning’ (2023)
Journal Article
Wilkinson, D. (2024). Proposer of the vote of thanks and contribution to the Discussion of ‘the Discussion Meeting on Probabilistic and statistical aspects of machine learning’. Journal of the Royal Statistical Society: Series B, 86(2), 302-304. https://doi.org/10.1093/jrsssb/qkad160

Computational statistics and machine learning (ML) are closely related, and there are many opportunities for cross-fertilization of ideas between the two fields. Both can benefit from greater interaction, and the two papers being discussed here highl... Read More about Proposer of the vote of thanks and contribution to the Discussion of ‘the Discussion Meeting on Probabilistic and statistical aspects of machine learning’.

Modular differential equations with movable poles and admissible RCFT characters (2023)
Journal Article
Das, A., Gowdigere, C. N., Mukhi, S., & Santara, J. (2023). Modular differential equations with movable poles and admissible RCFT characters. Journal of High Energy Physics, 2023(12), Article 143. https://doi.org/10.1007/jhep12%282023%29143

Studies of modular linear differential equations (MLDE) for the classification of rational CFT characters have been limited to the case where the coefficient functions (in monic form) have no poles, or poles at special points of moduli space. Here we... Read More about Modular differential equations with movable poles and admissible RCFT characters.

Moduli space reconstruction and Weak Gravity (2023)
Journal Article
Gendler, N., Heidenreich, B., McAllister, L., Moritz, J., & Rudelius, T. (2023). Moduli space reconstruction and Weak Gravity. Journal of High Energy Physics, 2023(12), Article 134. https://doi.org/10.1007/jhep12%282023%29134

We present a method to construct the extended Kähler cone of any Calabi-Yau threefold by using Gopakumar-Vafa invariants to identify all geometric phases that are related by flops or Weyl reflections. In this way we obtain the Kähler moduli spaces of... Read More about Moduli space reconstruction and Weak Gravity.

Large sums of high‐order characters (2023)
Journal Article
Mangerel, A. P. (2024). Large sums of high‐order characters. Journal of the London Mathematical Society, 109(1), Article e12841. https://doi.org/10.1112/jlms.12841

Let χ $\chi$ be a primitive character modulo a prime q $q$ , and let δ > 0 $\delta > 0$ . It has previously been observed that if χ $\chi$ has large order d ⩾ d 0 ( δ ) $d \geqslant d_0(\delta)$ then χ ( n ) ≠ 1 $\chi (n) \ne 1$ for some n ⩽ q δ $... Read More about Large sums of high‐order characters.