, a PhD candidate in the Division of Applied Mathematics at Brown University. I try to answer questions in enumerative geometry and combinatorial representation theory with a toolkit drawn from random matrix theory, integrable systems, geometric quantization and stochastic analysis.
My advisor is Govind Menon. In 2018-19 I also worked with Jean-Bernard Zuber as a Chateaubriand Fellow at the Laboratoire de Physique Théorique et Hautes Energies, Sorbonne University.
- C. McSwiggen (2019). “Box splines, tensor product multiplicities and the volume function.” Submitted to Int. Math. Res. Notices. arXiv:1909.12278
- R. Coquereaux, C. McSwiggen, J.-B. Zuber (2019). “On Horn’s problem and its volume function.” To appear in Comm. Math. Phys. arXiv:1904.00752
- R. Coquereaux, C. McSwiggen, J.-B. Zuber (2019). “Revisiting Horn’s problem.” J. Stat. Mech.: Theory Exp. 2019: 094018. arXiv:1905.09662
- C. McSwiggen (2019). “A new proof of Harish-Chandra’s integral formula.” Comm. Math. Phys. 365: 239–253. arXiv:1712.03995
- C. McSwiggen (2018). “The Harish-Chandra integral.” Submitted to Enseign. Math. arXiv:1806.11155
Talks and presentations
- "Horn's problem, polytope volumes and tensor product decompositions," Operator Algebras Seminar, University of Tokyo, 29 January 2020.
- Kyoto Operator Algebra Seminar, Kyoto University, 24 January 2020.
- Combinatorics Seminar, Brown University, 20 November 2019.
- "From multiplicities to random matrices and back again," AMS Fall Western Sectional Meeting, Special Session on Random Matrices and Related Structures, UC Riverside, 9-10 November 2019.
- "Multiplicities from volumes," Integrability, Combinatorics and Representations, Giens, France, 2-6 September 2019.
- "Large-N asymptotics of Harish-Chandra integrals," Randomness and Symmetry, University College Dublin, 18-22 June 2018.
- Introduction to Stochastic Differential Equations (APMA 1930U), Brown University, Fall 2019 - Recitation leader
- Operations Research: Probabilistic Methods (APMA 1200), Brown University, Spring 2017 - Recitation leader
- Monte-Carlo Simulation with Applications to Finance (APMA 1720), Brown University, Fall 2016 - Recitation leader
If you're looking for my non-mathematical work, there's a partial archive at my unmaintained personal website.