email: contact@cosmc.net

Research

   Pure math and mathematical physics:

• S. Johnston, C. McSwiggen (2024). "On the limiting Horn inequalities." Submitted. arXiv:2410.08907
• J. Huang, C. McSwiggen (2024). "Asymptotics of generalized Bessel functions and weight multiplicities via large deviations of radial Dunkl processes." Probab. Theory Relat. Fields. arXiv:2305.04131
• S. Matsumoto, C. McSwiggen (2023). "Moments of random quantum marginals via Weingarten calculus." Int. Math. Res. Not. IMRN.: rnad105. arXiv:2210.11349
• B. Collins, C. McSwiggen (2023). "Projections of orbital measures and quantum marginal problems." Trans. Amer. Math. Soc. 376: 5601-5640. arXiv:2112.13908
• C. McSwiggen, J. Novak (2021). “Majorization and spherical functions.” Int. Math. Res. Not. IMRN.: rnaa390. arXiv:2006.08541
• C. McSwiggen (2021). “Box splines, tensor product multiplicities and the volume function.” Algebr. Comb. 4: 435-464. arXiv:1909.12278
• C. McSwiggen (2021). “The Harish-Chandra integral: An introduction with examples.” Enseign. Math. 67: 229-299. arXiv:1806.11155
• R. Coquereaux, C. McSwiggen, J.-B. Zuber (2020). “On Horn’s problem and its volume function.” Comm. Math. Phys. 376: 2409-2439. 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

   Algorithms, cryptography, data science:

• M. Chidambaram, H. Lee, C. McSwiggen, S. Rezchikov (2024). "How flawed is ECE? An analysis via logit smoothing." ICML 2024: Proceedings of the 41st International Conference on Machine Learning, PMLR 235:8417-8435. arXiv:2402.10046
• J. Leake, C. McSwiggen, N. Vishnoi (2022). “Sampling matrices from Harish-Chandra-Itzykson-Zuber densities with applications to quantum inference and differential privacy.” Submitted. arXiv:2011.05417
(Expanded journal version of STOC paper.)
• J. Leake, C. McSwiggen, N. Vishnoi (2021). “Sampling matrices from Harish-Chandra-Itzykson-Zuber densities with applications to quantum inference and differential privacy.” STOC 2021: Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing: 1384-1397.
• J. Raber, I. Miers, C. McSwiggen, Y. Zhu, D. Lai, M. Green, S. He, A.S. Raja (2021). “A cryptographic framework for lotteries in medical triage: secure and transparent randomized allocation of scarce healthcare resources.” AMIA 2021 Virtual Clinical Informatics Conference.
• U. França, H. Sayama, C. McSwiggen, R. Daneshvar, Y. Bar-Yam (2015). “Visualizing the 'heartbeat' of a city with tweets.” Complexity 21: 280-287. arXiv:1411.0722

Talks and presentations

• Colloquium lecture, Department of Mathematics, National Tsing Hua University, 28 April 2025.
• "Large deviations and multivariable special functions," Probability Seminar, Hong Kong University of Science and Technology, 10 April 2025.
• "Spherical integrals in probability and beyond," One World Probability Seminar, 2 April 2025.
• "Calibration and continuity," Interdisciplinary Data Science: Bridging Theory and Applications, NYU Abu Dhabi, 17-18 December 2024.
• Colloquium lecture, Department of Applied Mathematics, National Yang Ming Chiao Tung University, 10 December 2024.
• "Limiting Horn inequalities in infinite dimensions," Operator Algebras Seminar, University of Tokyo, 6 November 2024.
• "The many incarnations of cyclic spherical integrals," Algebraic Aspects of Random Matrices, CIRM, Marseille, 7-11 October 2024.
• Probability Seminar, UW Madison, 25 April 2024.
• Randomness and Lie-Theoretic Structures, University of Virginia, 4-5 March 2024.
• Probability Seminar, Columbia University, 2 February 2024.
• Probability Seminar, University of Cincinnati, 21 November 2023.
• Analysis Seminar, Yale University, 16 November 2023.
• Bielefeld-Melbourne Random Matrix Theory Seminar, 4 October 2023.
• "Dunkl theory at Large N," Stochastic Processes and their Applications (SPA2023), Invited Session on Integrable Probability, University of Lisbon, 27 July 2023.
• "Dunkl theory at Large N," Random Matrices and Applications, Research Institute for Mathematical Sciences, Kyoto University, 6 June 2023.
• Colloquium lecture, Institute of Mathematics, Academia Sinica, Taipei, 2 February 2023.
• "Sampling from unitary orbits, and an application to differential privacy," Applied Math Seminar, Brandeis University, 12 December 2022.
• Analysis and Probability Research Group Seminar, Indian Institute of Science, 30 March 2022.
• "Sampling matrices from Harish-Chandra-Itzykson-Zuber distributions," Simons Institute Workshop on Optimization Under Symmetry, UC Berkeley, 30 November 2021. (video)
• "Random matrix ensembles constructed from projections of orbital measures," Probability and the City Seminar, 22 October 2021. (video)
• "Cousins and ancestors of the arithmetic-geometric inequality," CUNY Representation Theory Seminar, 15 October 2021. (video)
• Tokyo-Kyoto Online Operator Algebras Seminar, 7 January 2021.
• "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.

Teaching

• Discrete Mathematics (MATH-UA 120), New York Univeristy, Fall 2022 - Instructor of record
• 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.