Sean O'Rourke

I am an Associate Professor in the Department of Mathematics at the University of Colorado Boulder. My research interests include probability, random matrix theory, and random polynomials. I received my Ph.D. at the University of California, Davis, under the direction of Alexander Soshnikov.

All of my publications can be found on the publications page or on my Google Scholar page. More information can also be found on my CV.

Contact information

E-mail:
Phone: (303) 492-7716
Office: MATH 325

Mailing address

Department of Mathematics
University of Colorado Boulder
Campus Box 395
Boulder, CO 80309-0395

News and updates

January 11, 2025 Jan 11, 2025

I am one of the co-organizers of the Random Polynomials and their Applications workshop at ICERM which will be held August 4-8, 2025.

February 24, 2024 Feb 24, 2024

I am one of the co-organizers of the Random Matrices and Free Probability Theory session at the 2024 MAA Rocky Mountain Section meeting which will be held April 19-20, 2024 on the campus of Colorado College, Colorado Springs.

Recent publications

Andrew Campbell, Sean O'Rourke and David Renfrew. Universality for roots of derivatives of entire functions via finite free probability. Submitted. Preprint available at arXiv:2410.06403. (2024). [arXiv:2410.06403] [BibTeX]
```
@misc{CampbellORourkeRenfrew24,
	author = {Campbell, Andrew and O'Rourke, Sean and Renfrew, David},
	year = {2024},
	title = {Universality for roots of derivatives of entire functions via finite free probability},
}
```

Sean O'Rourke and Noah Williams. An asymptotic refinement of the Gauss-Lucas Theorem for random polynomials with i.i.d. roots. Preprint available at arXiv:2409.09538. (2024). [arXiv:2409.09538] [BibTeX]

@misc{ORourkeWilliams24,
	author = {O'Rourke, Sean and Williams, Noah},
	year = {2024},
	title = {An asymptotic refinement of the {Gauss}-{Lucas} {Theorem} for random polynomials with i.i.d. roots},
}

Marcus Michelen and Sean O’Rourke. On random polynomials with an intermediate number of real roots. Proceedings of the American Mathematical Society 152, 4933–4942 (2024). [arXiv:2310.16966] [BibTeX] [Journal] [MR4802644]

@article{MR4802644,
	author = {Michelen, Marcus and O'Rourke, Sean},
	journal = {Proceedings of the American Mathematical Society},
	doi = {10.1090/proc/16999},
	issn = {0002-9939,1088-6826},
	number = {11},
	year = {2024},
	pages = {4933--4942},
	title = {On random polynomials with an intermediate number of real roots},
	url = {https://doi.org/10.1090/proc/16999},
	howpublished = {https://doi.org/10.1090/proc/16999},
	volume = {152},
}

Pages and collections

CU Boulder letterhead

LaTeX implementation of the CU Boulder letterhead

Links

A collection of useful online resources

News

Archive of updates and announcements