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I'm

Colin McSwiggen

, 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.


email: contact@cosmc.net



Research


  • 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




Teaching


  • 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



Other stuff


If you're looking for my non-mathematical work, there's a partial archive at my unmaintained personal website.