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Short courses

  1. An introduction to Lp-operator algebras: 15 hour course given at the Instituto de Matematica Rafael Laguardia in Montevideo, Uruguay, in July-August 2019. Notes from the course can be found here.
  2. Rokhlin-type properties for group actions on C*-algebras: 6 hour course given at the IPM School of Mathematics in Tehran, Iran, in January 2017. Notes from the course can be found here.

Talks given at Conferences and at external Institutions

  1. June 9, 2022. Z-stability of crossed products, invited speaker at the Operator Algebras Seminar, KU Leuven, (Belgium).
  2. May 16, 2022. Z-stability of crossed products, invited speaker at the workshop C*-algebras: Structure and Dynamics, Sde Boker (Israel).
  3. April 25, 2022. The classification of C*-algebras associated to dynamical systems, plenary invited speaker at the Encuentro Rioplatense de K-teoria, IMERL, Universidad de la Republica, Montevideo (Uruguay).
  4. January 12, 2022. Purely infinite crossed products by paradoxical groups, invited speaker at the Miniworkshop on Operator Algebras , Chalmers University, Gothenburg, (Sweden).
  5. December 16, 2021. Isomorphisms of Lp convolution algebras, invited speaker at the Oberseminar Analysis , Christian-Albrechts-Universität zu Kiel, Kiel (Germany).
  6. November 26, 2021. Classifiability of crossed products by nonamenable groups, invited speaker at the Danish-Norwegian Operator Algebras , hosted at NTNU, Trondheim (Norway).
  7. November 15, 2021. Lifts of completely positive (equivariant) maps, invited speaker at the Autumn Operator Algebras Program 2021, hosted in hybrid form at the Research Center for Operator Algebras (ECNU) in Shanghai (China).
  8. October 20, 2021. Crossed products by amenable actions of hyperbolic groups, invited speaker at the Automorphisms and Invariants of Operator Algebras , hosted at the University of Copenhagen, Copenhagen (Denmark).
  9. October 12, 2021. Lifts of equivariant completely positive maps, invited speaker at the special session "Operator Algebras" at Online Operator Algebra Seminar, hosted virtually jointly by Kyoto and Tokyo (Japan).
  10. September 16, 2021. Lifts of completely positive maps, invited speaker at the special session "Operator Algebras" at CLAM, hosted virtually at the University of the Republic, Montevideo (Uruguay).
  11. August 17, 2021. Lifts of equivariant completely positive maps, invited speaker at the special session "Operator Algebras" at IWOTA, hosted virtually at Lancaster University, Lancaster (UK).
  12. August 18, 2021. Isomorphisms of algebras of convolution operators, invited speaker at the special session "Operator spaces, quantized function theory and noncommutative Lp-spaces" at IWOTA, hosted virtually at Lancaster University, Lancaster (UK).
  13. June 8, 2021. Crossed products of partial actions of finite groups, invited speaker at the Non Commutative Geometry in the South Atlantic hosted at the UBA, Buenos Aires (Argentina).
  14. January 27, 2021. Partial actions of finite groups, invited speaker at the IPAM Workshop Actions of Tensor Categories on C*-algebras hosted at UCLA (USA).
  15. January 21, 2021. Group representations on Lp-spaces, invited speaker at the Groups, operators and Banach algebas Webinar (UK based).
  16. December 3, 2020. Partial actions of finite groups and crossed products, invited speaker at the C*-algebra Seminar, Universidade Federal de Santa Catarina, Florianopolis (Brazil).
  17. November 12, 2020. The classification problem for free ergodic actions, invited speaker at the Operator Algebra Seminar, University of Paris-Diderot (France).
  18. November 11, 2020. Dynamical dichotomies related to amenability, invited speaker at the Seminar in Analysis and Probability, University of Gothenburg and Chalmers University (Sweden).
  19. March 3, 2020. Regularity properties for amenable group actions, invited speaker at the Operator Algebra Seminar, University of Copenhagen (Denmark).
  20. December 23, 2019. Partial actions with the decomposition property, invited speaker at the Analysis Seminar, CMat, Universidad de la Republica, Montevideo (Uruguay).
  21. October 18, 2019. The classification problem for free ergodic actions, invited speaker at the Operator Algebra Seminar, at KU Leuven (Belgium).
  22. October 16, 2019. Harmonic Analysis on Lp-spaces, invited speaker at the Analysis Seminar, at NTNU Trondheim (Norway)
  23. October 15, 2019. Structure and classification of C*-dynamical systems, invited speaker at the Operator Algebra Seminar, at NTNU Trondheim (Norway)
  24. August 12, 2019. Tensor products of Lp Cuntz algebras, invited speaker at the Noncommutative Geometry Seminar of the Universidades de Buenos Aires (Argentina).
  25. November 29, 2018. Equivariant model theory and applications to C*-dynamics, invited speaker at the workshop Model Theory and Operator Algebras, held at the BIRS Centre, Banff (Canada).
  26. October 19, 2018. Dynamical Dichotomies. Invited speaker at the Dynamical Systems seminar at the Universidad de la Republica, Montevideo (Uruguay).
  27. October 17, 2018. Amenability and Orbit equivalence. Invited speaker at the Ergodic Theory course of Rafael Potrie at the Universidad de la Republica, Montevideo (Uruguay).
  28. September 6, 2018. Convolution algebras of locally compact groups. Invited speaker at the workshop Analysis and Group Theory, Dresden (Germany).
  29. May 17, 2018. The classification problem for free ergodic actions. Invited speaker at NCGOA, Münster (Germany).
  30. December 22, 2017. Amenability, group actions, and orbit equivalence, invited speaker at the Sexto Coloquio Uruguayo de Matemàtica, held at the Universidad de la Repùblica, Montevideo (Uruguay). Proceedings.
  31. September 4, 2017. Regularity properties for amenable group actions, invited speaker at the workshop Future targets in the classification program for amenable C*-algebras, held at the BIRS Centre, Banff (Canada).
  32. August 2, 2017. Group amenability and actions on operator algebras, invited speaker at the conference Applications of Model Theory to Operator Algebras, held at the University of Houston, Houston (USA).
  33. June 28, 2017. Amenability and group actions on strongly self-absorbing C*-algebras, invited speaker at the Analysis Seminar at the Centre de Recerca Matemàtica (CRM), Barcelona (Spain).
  34. April 12, 2017. Regularity properties for amenable group actions on simple C*-algebras, invited speaker at the Analysis Seminar at the Centre de Recerca Matemàtica (CRM), Barcelona (Spain).
  35. April 5, 2017. Actions of nonamenable groups on strongly self-absorbing C*-algebras, invited speaker at the Analysis Seminar at the Centre de Recerca Matemàtica (CRM), Barcelona (Spain).
  36. March 22, 2017. Regularity properties for amenable groups actions, invited speaker at the Workshop on C*-algebras and dynamical systems, at the CRM, Barcelona (Spain).
  37. March 13, 2017. Equivariant model theory and C*-dynamics, invited speaker at the Noncommutative Geometry Seminar, at IMPAN, Warsaw (Poland).
  38. March 13, 2017, 2017. The equivariant Cuntz semigroup, invited speaker at the Noncommutative Geometry Seminar, at IMPAN, Warsaw (Poland).
  39. February 7, 2017. Actions of property (T) groups on UHF-algebras, invited speaker at the Analysis Seminar, at the University of Oregon, Eugene (USA).
  40. January 30, 2017. L^p analogs of irrational rotation algebras, invited speaker at the Noncommutative Geometry Seminar, at the California Institute of Technology, Pasadena (USA).
  41. November 24, 2016. The Rokhlin dimension of strongly outer actions, invited speaker at the Workshop Structure and classification of C*-algebras at the Banach Center (IMPAN), Warsaw (Poland).
  42. October 27, 2016. Topological dynamics and classification, speaker at the SFB Workshop, Münster (Germany). Slides.
  43. March 23, 2016. Classifiability of non-selfadjoint UHF-algebras, invited speaker at the Workshop Classification and set theory at the Mittag-Leffler institute, Stockholm (Sweden).
  44. February 29, 2016. Rokhlin dimension: tracial properties and crossed products, invited speaker at the Noncommutative Geometry Seminar, at IMPAN, Warsaw (Poland).
  45. November 25, 2015. Rokhlin dimension: tracial properties and crossed products, invited speaker at the Conference on Noncommutative Dimension Theories: connections and applications, at the University of Hawaii at Manoa, Honolulu, Hawaii (USA).
  46. August 25, 2015. Group representations on L^p-spaces, contributed talk at the YMC*A Conference, at the University of Copenhagen, Copenhagen, Denmark.
  47. July 13, 2015. Rokhlin dimension: tracial properties and crossed products, invited speaker at the Workshop on C*-algebras: Geometry and Actions, Münster (Germany).
  48. July 3, 2015. Compact group actions and Rokhlin dimension, invited speaker at International conference on C*-algebras and dynamical systems, in honor of George Elliott's 70th birthday, at Hebei Nromal University, Shijiazhuang (China).
  49. June 12, 2015. Rokhlin dimension: tracial properties and crossed products, contributed talk at CBMS Lecture series, University of Wyoming, Laramie (USA).
  50. June 1, 2015. Representations of groups on L^p-spaces, contributed talk at RMMC Summer School: The structure of C*-algebras, University of Wyoming, Laramie (USA).
  51. May 26, 2015. Group representations on L^p-spaces, contributed talk at GPOTS, Purdue University, West Lafayette (USA). Slides.
  52. May 12, 2015. The Rokhlin property for compact groups: classification and crossed products, invited speaker at the Analysis Seminar at the University of Glasgow, Glasgow (Scotland).
  53. May 11, 2015. Compact group actions with the Rokhlin property, invited speaker at the Analysis seminar at the Univeristy of Aberdeen, Aberdeen (Scotland).
  54. May 4, 2015. Group representations on L^p-spaces, invited speaker at the Algebra seminar at the Univeristy of Aberdeen, Aberdeen (Scotland).
  55. April 23, 2015. The equivariant Cuntz semigroup, invited speaker at the Workshop on C*-algebras: Structure and Classification, Münster (Germany). Slides.
  56. December 15, 2014. Quotients of Banach algebras acting on L^p-spaces, seminar talk in the kleines Seminar at the Westfälische Wilhelms-Universität Münster, Münster (Germany).
  57. November 2, 2014. Rigidity results for L^p-operator algebras, invited speaker at the WCOAS, University of Denver, Denver (USA). Slides.
  58. October 23, 2014. Existence and uniqueness of circle actions on Kirchberg algebras, contributed talk at BIRS Workshop "Dynamics and C*-Algebras: Amenability and Soficity", BIRS Centre, Banff (Canada). Recording of the talk.
  59. June 22, 2014. Rokhlin dimension for compact group actions, contributed talk at COSy, Fields Institute, Toronto (Canada). Slides.
  60. June 17, 2014. The continuous Rokhlin property and permanence of the UCT, contributed talk at Workshop: C*-algebras and dynamical systems, Fields Institute, Toronto (Canada). Slides.
  61. May 28, 2014. The equivariant Cuntz semigroup, contributed talk at GPOTS, Kansas State University (USA). Slides.
  62. April 17, 2014. Circle actions on Kirchberg algebras, seminar talk in the Operator Algebras Seminar at the Fields Institute for Research in Mathematical Sciences of the University of Toronto.
  63. January 31, 2014. Classification theorems for circle actions with the Rokhlin property, seminar talk in the Operator Algebras Seminar at the Fields Institute for Research in Mathematical Sciences of the University of Toronto.
  64. December 19, 2013. Free actions on noncommutative Cantor spaces, invited speaker at the Cuarto Coloquio Uruguayo de Matemática, Montevideo (Uruguay). Slides (in Spanish).
  65. November 26, 2013. Existence and uniqueness theorems for circle on Kirchberg algebras, invited speaker at the SFB Miniworkshop: C*-algebras, C*-Bundles, and Group Actions, Münster (Germany).
  66. September 2, 2013. The Rokhlin Property for Actions of the Circle on C*-algebras, contributed talk at the School and workshop: Topics in Operator Algebras and Applications, Madrid (Spain).
  67. August 22, 2013. Classification of actions with the Rokhlin property, poster presentation at the SFB-Workshop Groups, Dynamical Systems and C*-Algebras, Münster (Germany). Poster available here.
  68. June 19, 2013. The Equivariant Cuntz Semigroup and Classification of Actions, seminar talk at the Universitat Autònoma de Barcelona, Barcelona (Spain). Notes.
  69. June 11, 2013. Rokhlin actions of the circle on Kirchberg algebras, seminar talk in the Oberseminar at the Westfälische Wilhelms-Universität Münster, Münster (Germany).
  70. May 23, 2013. Circle actions with the Rokhlin property, contributed talk at GPOTS, UC Berkeley (USA). Slides.

Lecture Notes

  1. Notes from the course von Neumann algebras and lattices in higher-rank groups, given by Jesse Peterson at the YMC*A 2021, held at the Universität Münster, Münster, Germany, August 2-6, 2021.
  2. Notes from the course Applications of model theory to operator algebras, given by Martino Lupini at the conference Applications of Model Theory to Operator Algebras, held at the University of Houston, Houston, USA, July 31-August 4, 2017.
  3. Notes from the course Expanders, ghosts and exactness, given by Rufus Willett at the YMC*A 2016, at Universität Münster, Münster, Germany, July 25-29, 2016.
  4. Notes from the course Deformation rigidity, given by Stefaan Vaes at the YMC*A 2015, at the University of Copenhagen, Denmark, Agusut 17-21, 2015.
  5. Notes from the course Higher rank graph algebras, given by Alex Kumjian at the RMMC Summer School, at the University of Wyoming, Laramie (USA), June 1-5, 2015.
  6. Notes from the course Classification of Kirchberg algebras, given by Chris Phillips at the Workshop on C*-algebras and dynamical systems, at the Fields Institute, Toronto (Canada), June 9-13, 2014.
  7. Notes from the course Actions of finite groups on Kirchberg algebras, given by Chris Phillips at the SFB Miniworkshop on C*-algebras, C*-Bundles, and Group Actions, at the Westfälische Wilhelms-Universität Münster, Münster (Germany), November 25-29, 2013.
  8. Notes from the course Partial Group Actions, given by Ruy Exel at the ICMAT, Campus de Cantoblanco, Universidad Autónoma de Madrid, September 2-6, 2013.
  9. Notes from the course Sofic Groups, Entropy and Operator Algebras, given by David Kerr at the ICMAT, Campus de Cantoblanco, Universidad Autónoma de Madrid, September 2-6, 2013.
  10. Notes from the course Nuclear Dimension and Dynamics, given by Joachim Zacharias at the ICMAT, Campus de Cantoblanco, Universidad Autónoma de Madrid, September 2-6, 2013.
  11. Notes from the course Recent Advances in the Theory of Continuous Fields of Nuclear C*-algebras, given by Marius Dadarlat at the Masterclass Classifcation of non-simple purely infnite C*-algebras, held at the University of Copenhagen, in July 22-26, 2013.
  12. Notes from the course Universal Coefficient Theorems in Triangulated Categories, given by Ralf Meyer at the Masterclass Classifcation of non-simple purely infnite C*-algebras, held at the University of Copenhagen, in July 22-26, 2013.
  13. Notes from the course An introduction to C*-algebras, (Math 684) given by Chris Phillips in the Winter term of 2013 at the University of Oregon.
  14. Notes from the course Analytic approximation properties for discrete groups, given by Nate Brown at the Spring School on Group C*-algebras, March 17-21, 2013, at Sde Boker, Israel, Ben Guiron University of the Negev.
  15. Notes from the course Topological and algebraic regularity properties of nuclear C*-algebras, given by Wilhelm Winter at the NSF/CBMS Regional Conference in the Mathematical Sciences, May 11-15, 2012, at the University of Louisiana at Lafayette.

Seminar talks at my local Institution

  • In the Analysis seminar at Chalmers University:
    1. The classification problem in Ergodic Theory.

  • In the Obserseminar at Universität Münster:
    1. The classification problem for free ergodic actions. Notes.
    2. Group actions on UHF-algebras and cocycle superrigidity..
    3. Rokhlin actions of the circle on Kirchberg algebras.

  • In the kleines Seminar at Universität Münster:
    1. Quasitraces and AW*-algebras. Notes.
    2. Quotients of Banach algebras acting on L^p-spaces

  • In the Analysis seminar at the University of Oregon:
    1. Rigidity results for L^p-operator algebras.
    2. Quotients of Banach algebras acting on L^p-spaces.
    3. Existence and Uniqueness Theorems for Circle Actions on Kirchberg algebras. Notes.
    4. Circle actions on O_2-absorbing C*-algebras with the Rokhlin property. Notes.
    5. The Rokhlin property for actions of the circle on C*-algebras. Notes.
    6. Fredholm operators on C*-modules and the noncommutative Atiyah-Janich Theorem. Notes.
    7. C*-algebras associated with irreversible dynamical systems (based on my Master's Thesis).

  • In the Functional Analysis seminar at the University of Oregon:
    1. Analogs of irrational rotation algebras acting on L^p-spaces.
    2. Group representations on L^p-spaces and a generalization of Wendel's theorem. .
    3. (Noncommutative) Free Actions of Compact groups on (Noncommutative) Cantor Sets. Notes.
    4. Crossed products by finite group actions with the Rokhlin property. Notes. This talk was based on a paper by H. Osaka and N.C. Phillips of the same title. Preprint.
    5. The basics of (irrational) rotation algebras.
    6. Basic Fredholm Theory. Notes.
    7. Classification of irrational rotation algebras. Notes.
    8. An introduction to K-theory for C*-algebras I and II. Notes.
    9. Actions of finite groups on C*-algebras with the Rokhlin property. Notes.
    10. Basics of C*-algebras I and II. Notes.

  • At the Centro de Matemática of the Universidad de la República:
    1. Stone-Weierstrass Theorem. Notes (in Spanish).
    2. Atiyah-Janich Theorem I, II, III, IV and V.
    3. The crossed product of a C*-algebra by an endomorphism I and II.
    4. Ideal structure of graph algebras I and II.
    5. Peter-Weyl Theorem I, II and III.
    6. Nash's Theorem (Game Theory). Notes (in Spanish).
    7. Optimal stopping, the American put and the Black-Scholes equation. Slides (in Spanish).
    8. Markov Chains.