Publications
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Research papers:
1. Dawson, Matthew; Quiroga-Barranco, Raul: Radial Toeplitz operators on the weighted Bergman spaces of Cartan domains, to appear in Contemporary Mathematics. arXiv preprint
2. Quiroga-Barranco, Raul: Pseudo-Riemannan $G_{2(2)}$-manifolds with dimension at most $21$, to appear in Mathematische Nachrichten. arXiv preprint
3. Olafsson, Gestur; Quiroga-Barranco, Raul: On low-dimensional manifolds with isometric $\widetilde{\mathrm{U}}(p,q)$-actions, Asian Journal of Mathematics 21 (2017), no. 5, 873-908. link to paper and arXiv preprint
4. Quiroga-Barranco, Raul; Sanchez-Nungaray, Armando: Separately radial and radial Toeplitz operators on the projective space and representation theory, Czechoslovak Mathematical Journal 67 (2017), no. 4, 1005-1020. link to paper and arXiv preprint
5. Quiroga-Barranco, Raul; Roblero-Mendez, Eli: Rigidity of an isometric $\mathrm{SL}(3,\mathbb{R})$-action, Journal of Lie Theory 27 (2017), no. 4, 1179-1197. link to paper and arXiv preprint
6. Morales-Ramos, Miguel Antonio; Quiroga-Barranco, Raul; Sanchez-Nungaray, Armando: Toeplitz operators, pseudo-homogeneous symbols and moment maps on the complex projective space, Journal of Function Spaces Volume 2017 (2017), Article ID 1730920, 14 pages. link to paper and arXiv preprint
7. Quiroga-Barranco, Raul: Separately radial and radial Toeplitz operators on the unit ball and representation theory, Boletin de la Sociedad Matematica Mexicana 22 (2016), no. 2, 605-623. link to paper and arXiv preprint
8. Quiroga-Barranco, Raul; Sanchez-Nungaray, Armando: Commutative $C^*$-algebras generated by Toeplitz operators on the super unit ball, Advances in Applied Clifford Algebras 26 (2016), no. 1, 363-397. link to paper and arXiv preprint
9. Quiroga-Barranco, Raul; Sanchez-Nungaray, Armando: Toeplitz operators with quasi-radial quasi-homogeneous symbols on some weakly pseudoconvex domains, Complex Analysis and Operator Theory 9 (2015), no. 5, 1111-1134. link to paper and arXiv preprint
10. Dawson, Matthew; Olafsson, Gestur; Quiroga-Barranco, Raul: Commuting Toeplitz operators on bounded symmetric domains and multiplicity-free restrictions of holomorphic discrete series, Journal of Functional Analysis 268 (2015), no. 7, 1711-1732. link to paper and arXiv preprint
11. Quiroga-Barranco, Raul; Sanchez-Nungaray, Armando: Toeplitz operators with quasi-radial quasi-homogeneous symbols and bundles of Lagrangian frames, Journal of Operator Theory 71 (2014), no. 1, 199-222. link to paper and arXiv preprint
12. Olafsson, Gestur; Quiroga-Barranco, Raul; On low-dimensional manifolds with isometric $\mathrm{SO}_0(p,q)$-actions. Transformation Groups 17 (2012), no. 3, 835-860. link to paper and arXiv preprint
13. Quiroga-Barranco, Raul; Sanchez-Nungaray, Armando: Commutative $C^*$-algebras of Toeplitz operators on complex projective spaces, Integral Equations and Operator Theory 71 (2011), no. 2, 225-243. link to paper and arXiv preprint
14. Quiroga-Barranco, Raul: Isometric actions of simple groups and transverse structures: The integrable normal case. Dedicated to Robert J. Zimmer on the occassion of his 60th birthday. Chapter in: Geometry, Rigidity and Groups Actions. Chicago Lectures in Mathematics. 2011. arXiv preprint
15. Quiroga-Barranco, Raul: Commutative algebras of Toeplitz operators and Lagrangian foliations. Recent Trends in Toeplitz and Pseudodifferential Operators. The Nikolai Vasilevskii Anniversary Volume, 195-202, Operator Theory: Advances and Applications, Vol. 210, Birkhauser Verlag, Basel, 2010. arXiv preprint
16. Quiroga-Barranco, Raul: Arithmeticity of totally geodesic Lie foliations with locally symmetric leaves. Asian J. Math. 12 (2008), no. 3, 289-297. link to paper and arXiv preprint
17. Quiroga-Barranco, Raul; Vasilevski, Nikolai: Commutative $C^*$-algebras of Toeplitz operators on the unit ball. II. Geometry of the level sets of symbols. Integral Equations and Operator Theory 60 (2008), no. 1, 89-132. link to paper
18. Quiroga-Barranco, Raul; Vasilevski, Nikolai: Commutative $C^*$-algebras of Toeplitz operators on the unit ball. I. Bargmann-type transforms and spectral representations of Toeplitz operators. Integral Equations and Operator Theory 59 (2007), no. 3, 379-419. link to paper
19. Quiroga-Barranco, Raul; Vasilevski, Nikolai: Commutative algebras of Toeplitz operators on the Reinhardt domains. Integral Equations and Operator Theory 59 (2007), no. 1, 67-98. link to paper and arXiv preprint
20. Quiroga-Barranco, Raul: Isometric actions of simple Lie groups on pseudoRiemannian manifolds. Ann. of Math. (2) 164 (2006), no. 3, 941-969. link to paper and arXiv preprint
21. Grudsky, Sergey; Quiroga-Barranco, Raul; Vasilevski, Nikolai: Commutative $C^*$-algebras of Toeplitz operators and quantization on the unit disk. J. Funct. Anal. 234 (2006), no. 1, 1-44. link to paper
22. Quiroga-Barranco, Raul: Totally geodesic Riemannian foliations with locally symmetric leaves. C. R. Math. Acad. Sci. Paris 342 (2006), no. 6, 421-426. link to paper
23. Quiroga-Barranco, Raul: PseudoRiemannian geometry and actions of simple Lie groups. C. R. Math. Acad. Sci. Paris 341 (2005), no. 6, 361-364. link to paper
24. Candel, Alberto; Quiroga-Barranco, Raul: Rigid and finite type geometric structures. Geom. Dedicata 106 (2004), no. 1, 123-143. link to paper
25. Candel, Alberto; Quiroga-Barranco, Raul: Parallelisms, prolongations of Lie algebras and rigid geometric structures. Manuscripta Math. 114 (2004), no. 3, 335-350. link to paper
26. Candel, Alberto; Quiroga-Barranco, Raul: Gromov's centralizer theorem. Geom. Dedicata 100 (2003), no. 1, 123-155. link to paper
27. Candel, Alberto; Quiroga-Barranco, Raul: Connection preserving actions are topologically engaging. Bol. Soc. Mat. Mexicana (3) 7 (2001), no. 2, 247-260. arXiv preprint
28. Candel, A.; Quiroga-Barranco, R. Fundamental groups of compact manifolds and symmetric geometry of noncompact type. Comment. Math. Helv. 74 (1999), no. 1, 63-83. link to paper
29. Quiroga-Barranco, Raul: Hermitian metric rigidity for foliated vector bundles. Geom. Dedicata 71 (1998), no. 3, 287-298. link to paper
30. Quiroga-Barranco, Raul: The stretch of a foliation and geometric superrigidity. Trans. Amer. Math. Soc. 349 (1997), no. 6, 2391-2426. link to paper
31. Quiroga-Barranco, Raul: Hermitian metric rigidity on compact foliated manifolds. Geom. Dedicata 57 (1995), no. 3, 305-315. link to paper

Edited proceedings:
1. Recent Progress in Operator Theory and Its Applications. Edited by Joseph A. Ball, Raul E. Curto, Sergei M. Grudsky, J. William Helton, Raul Quiroga-Barranco, Nikolai L. Vasilevki. Operator Theory: Advances and Applications, Vol. 220. 2012, ix-342 pp. link to book
2. Memorias de la Sociedad Matematica Mexicana. (Spanish) [Papers of the Mexican Mathematical Society] Edited by M. Aguilar and R. Quiroga. Aportaciones Matematicas: Comunicaciones [Mathematical Contributions: Communications], 36. Sociedad Matematica Mexicana, Mexico, 2006. vi+144 pp.
3. Memorias de la Sociedad Matematica Mexicana. (Spanish) [Papers of the Mexican Mathematical Society] Papers from the 37th National Congress held in Ensenada, October 10-15, 2004. Edited by M. Aguilar and R. Quiroga. Aportaciones Matematicas: Comunicaciones [Mathematical Contributions: Communications], 35. Sociedad Matematica Mexicana, Mexico, 2005. vi+283 pp.
4. XXXVI Congreso Nacional de la Sociedad Matematica Mexicana. (Spanish) [XXXVI National Congress of the Mexican Mathematical Society] Papers from the congress held in Pachuca, October 12-17, 2003. Edited by M. Aguilar and R. Quiroga. Aportaciones Matematicas: Comunicaciones [Mathematical Contributions: Communications], 34. Sociedad Matematica Mexicana, Mexico, 2004. viii+179 pp.
5. XXXV Congreso Nacional de la Sociedad Matematica Mexicana. [XXXV National Congress of the Mexican Mathematical Society] Papers from the congress held in Durango, October 6-11, 2002. Edited by M. Aguilar and R. Quiroga. Aportaciones Matematicas: Comunicaciones [Mathematical Contributions: Communications], 32. Sociedad Matematica Mexicana, Mexico, 2003. viii+205 pp.
6. XXXI Congreso Nacional de la Sociedad Matematica Mexicana. [XXXI National Congress of the Mexican Mathematical Society] Papers from the congress held in Hermosillo, October 11-17, 1998. Edited by P. Padilla, R. Quiroga, C. Signoret and A. Soriano. Aportaciones Matematicas: Comunicaciones [Mathematical Contributions: Communications], 25. Sociedad Matematica Mexicana, Mexico, 1999. viii+385 pp.
Surveys and other publications
1. Quiroga-Barranco. Raul: What is a group algebra? (Spanish) Carta Informativa de la Sociedad Matematica Mexicana No. 69 (2014), 1-3. link to paper
2. Alvarez Allende, Haydey; Huchim, Elias; Sankar, Lakshmi; Lee, Seonjeong; Li, Yao; Quiroga, Raul; Vanney Roblero, Eli: Gravimetric measurements on moving and non-inertial platforms. IMA Preprint Series, 2335, September, 2010.
3. Quiroga-Barranco, Raul; The geometry of two formulas of Euler. (Spanish) Miscelanea Matematica No. 45 (2007), 105-130. link to paper
4. Quiroga Barranco, Raul: Geometry and some of its relations within mathematics. (Spanish) Interdisciplinary tendencies in mathematics (Spanish) (Mexico, 1998), 233-255, Aportaciones Mat. Comun., 26, Soc. Mat. Mexicana, Mexico, 2000.