## Biography

I am born in the vicinity of Stuttgart in Germany and studied Mathematics and Physics at the University of Tuebingen and the State University of New York at Stony Brook. After completion of my doctorate in Mathematics at the University of Stuttgart I spent the next seven years in Canada, first at Queen's University in Kingston as a postdoctoral fellow and assistant adjunct professor, and then as an assistant professor at Carleton University in Ottawa. From 2007 to 2009 I enjoyed visiting assistant professorships at the University of Illinois at Urbana-Champaign, as well as St. Lawrence University in Canton, New York. During the summer of 2009 I returned to Europe as a researcher at Aberystwyth University in Wales. I joined UCC as a lecturer at the School of Mathematical Sciences in December 2012.My recent research is about noncommutative probability. This is a modern research area in mathematics which grew out of the needs to model randomly occurring quantum events and uses the language of operator algebras. It plays an increasing role in applications like quantum control or quantum information, both among the key technologies of the 21st century. On the other hand it is intimately connected with several fascinating areas in pure mathematics, for example free probability, quantum dynamics, subfactor theory, representations of large groups, or distributional symmetries and invariance principles.

Actually I had not been in Ireland before joining UCC, but I knew already about the excellent reputation of UCC from colleagues and good friends. Living now in Cork for some months I am still impressed about how welcoming and helpful people are and have been at many occasions, be it conversations with taxi-drivers upon arriving at Cork's airport, or very informative chats about Cork and its history while socializing in downtown. Also I am attracted by the bilingual facets and the international social-cultural flavor of Cork to which I got used to in Canada. Having lived both in metropolitan areas and very rural places, Cork as a city feels to be of the right size, not too big and not too small. I am looking forward to explore more of Cork, and especially its countryside and seashore.

Settling in Cork I wish to find the time to play again tennis and to revive my outdoor activities such as hiking and canoeing. But I am not so sure if I will have an opportunity to improve my skating skills on this definitely green island. So, of course, I have a life beyond that of a mathematician. But if you really want to learn more about this then you should better get in touch with me.

## Research Interests

My research is related to the following subjects:

- Free and Noncommutative Probability
- Operator Algebras and Quantum Groups
- Quantum Control and Quantum Information
- Quantum Dynamics and Subfactors
- Symmetries and Invariance Principles

Noncommutative probability is a modern research area in mathematics which grew out of the needs to model randomly occuring quantum events. It uses the language of operator algebras and plays an increasing role in applications like quantum control or quantum information, both among the key technologies of the 21st century. On the other hand it is intimately connected with several fascinating areas in pure mathematics, for example free probability, quantum dynamics, quantum groups, subfactor theory, representations of large groups, or distributional symmetries and invariance principles.

## Research Grants

Project | Funding Body | Start Date | End Date | Award | |
---|---|---|---|---|---|

SEFS Start-up Research Grant. | Miscellaneous | 01-SEP-13 | 30-NOV-15 | €5,000.00 | |

Free Probability 2014 | UCC Strategic Research Fund | 01-JUL-14 | 30-JUN-15 | €1,526.65 | |

SMS Colloquium | UCC Strategic Research Fund | €3,960.00 |

## Publications

### Peer Reviewed Journals

Year | Publication | |
---|---|---|

(1998) | 'Stationary quantum Markov processes as solutions of stochastic differential equations' Hellmich, Jürgen; Köstler, Claus; Kümmerer, Burkhard (1998) 'Stationary quantum Markov processes as solutions of stochastic differential equations'. Banach Center Publications, 43 :217-229 [Details] | |

(2002) | 'Couplings to classical and non-classical squeezed white noise as stationary Markov processes' Hellmich, Jürgen; Honegger, Reinhard; Köstler, Claus; Kümmerer, Burkhard; Rieckers, Alfred (2002) 'Couplings to classical and non-classical squeezed white noise as stationary Markov processes'. Publications of the Research Institute for Mathematical Sciences, 38 (1):1-31 [Details] | |

(2003) | 'Survey on a quantum stochastic extension of Stone's theorem' Köstler, Claus (2003) 'Survey on a quantum stochastic extension of Stone's theorem'. Contemporary Mathematics, 335 :209-222 [Details] | |

(2007) | 'On the structure of non-commutative white noises' Köstler, Claus; Speicher, Roland (2007) 'On the structure of non-commutative white noises'. Transactions of The American Mathematical Society, 359 :4325-4338 [Details] | |

(2009) | 'Noncommutative independence from the braid group B_∞' Gohm, Rolf; Köstler, Claus (2009) 'Noncommutative independence from the braid group B_∞'. Communications in Mathematical Physics, 289 (2):435-482 [Details] | |

(2009) | 'A noncommutative de Finetti theorem: invariance under quantum permutations is equivalent to freeness with amalgamation' Köstler, Claus; Speicher, Roland (2009) 'A noncommutative de Finetti theorem: invariance under quantum permutations is equivalent to freeness with amalgamation'. Communications in Mathematical Physics, 291 (2):473-490 [Details] | |

(2010) | 'A noncommutative extended de Finetti theorem' Köstler, Claus (2010) 'A noncommutative extended de Finetti theorem'. Journal of Functional Analysis, 258 (4):1073-1120 [Details] | |

(2010) | 'Quantum filtering in coherent states' Gough, John E.; Köstler, Claus (2010) 'Quantum filtering in coherent states'. Communications on Stochastic Analysis, 4 (4):505-521 [Details] | |

(2011) | 'On Lehner's `free' noncommutative analogue of de Finetti's theorem' Köstler, Claus (2011) 'On Lehner's `free' noncommutative analogue of de Finetti's theorem'. Proceedings American Mathematical Society, 139 (3):885-895 [Details] | |

(2012) | 'Noncommutative independence in the infinite braid and symmetric group' Gohm, Rolf; Köstler, Claus (2012) 'Noncommutative independence in the infinite braid and symmetric group'. Banach Center Publications, 96 :193-206 [Details] | |

(2014) | 'Tail algebras of quantum exchangeable random variables' Dykema, Kenneth J.; Köstler, Claus (2014) 'Tail algebras of quantum exchangeable random variables'. Proceedings American Mathematical Society, 142 (11):3853-3863 [Details] | |

(2015) | 'Quantum symmetric states on free product C-algebras' Kenneth J. Dykema; Claus Köstler; John D. Williams (2015) 'Quantum symmetric states on free product C-algebras'. Transactions of The American Mathematical Society, [Details] |

## Professional Activities

### Professional Associations

Association | Function | From / To | |
---|---|---|---|

Irish Mathematical Society | Member | 01-JAN-15 / |

### Conference Contributions

Year | Publication | |
---|---|---|

(2014) | Free Probability and the Large N Limit IV,Claus Koestler (2014) From distributional symmetries to central limit laws. [Invited Lectures (Workshops)], Free Probability and the Large N Limit IV, University of California, Berkeley, CA (USA) , 25-MAR-14 - 29-JAN-15. [Details] | |

(2014) | Physics Seminar,Claus Koestler (2014) Distributional Symmetries in Quantum Physics. [Invited Seminars/Guest Lectures], Physics Seminar, University College Cork, Cork, Ireland , 17-FEB-14 - 17-FEB-14. [Details] | |

(2013) | Analysis Seminar,Claus Koestler (2013) Distributional symmetries in noncommutative probability. [Invited Seminars/Guest Lectures], Analysis Seminar, School of Mathematics and Statistics, University of Glasgow, Glasgow (Scotland) , 28-OCT-13 - 28-OCT-13. [Details] | |

(2011) | Seminar,Claus Koestler (2011) Symmetry and Independence in Quantum Structures. [Invited Seminars/Guest Lectures], Seminar, Institute of Mathematics and Physics, Aberystwyth University, Wales, UK , 08-JUN-11 - 08-JUN-11. [Details] | |

(2011) | WIMCS Stochastic Analysis Cluster Workshop Quantum Control and Probability - New Trends,Claus Koestler (2011) Distributional symmetries in noncommutative probability - An introduction. [Invited Lectures (Workshops)], WIMCS Stochastic Analysis Cluster Workshop Quantum Control and Probability - New Trends, Aberystwyth, Wales, UK , 24-JAN-11 - 25-JAN-11. [Details] | |

(2010) | EU-NCG 3rd Annual Meeting - Cardiff 2010,Claus Koestler (2010) Symmetries and invariance principles in noncommutative probability. [Invited Lectures (Conference)], EU-NCG 3rd Annual Meeting - Cardiff 2010, Cardiff, Wales, UK , 28-JUN-10 - 02-JUL-10. [Details] | |

(2010) | Seminar,Claus Koestler (2010) Noncommutative independence from characters of the symmetric group S∞. [Invited Seminars/Guest Lectures], Seminar, School of Mathematical Sciences, Nottingham University, Nottingham , 17-FEB-10 - 17-FEB-10. [Details] | |

(2010) | Stochastic Analysis Seminar,Claus Koestler (2010) Symmetries and independence in noncommutative probability. [Invited Seminars/Guest Lectures], Stochastic Analysis Seminar, Oxford-Man Institute at Oxford University, Oxford, UK , 18-JAN-10 - 18-JAN-10. [Details] | |

(2009) | Operator Algebra Seminar,Claus Koestler (2009) An application of exchangeability to characters of the group of finite permutations. [Invited Seminars/Guest Lectures], Operator Algebra Seminar, University of Cardiff, Cardiff, Wales, UK , 17-NOV-09 - 17-NOV-09. [Details] | |

(2009) | LMS Workshop Stochastic Processes at the Quantum Level,Claus Koestler (2009) Exchangeability, braidability and quantum independence. [Invited Lectures (Workshops)], LMS Workshop Stochastic Processes at the Quantum Level, Aberystwyth, Wales, UK , 19-OCT-09 - 23-OCT-09. [Details] | |

(2009) | Seminar,Claus Koestler (2009) Symmetry and independence in noncommutative probability theory. [Invited Seminars/Guest Lectures], Seminar, Institute of Mathematics and Physics, Aberystwyth University, Wales, UK , 10-JUL-09 - 10-JUL-09. [Details] | |

(2009) | Colloquium,Claus Koestler (2009) Noncommutative independence and characters of the symmetric group S∞. [Invited Seminars/Guest Lectures], Colloquium, University of Ottawa, Ottawa, Canada , 26-JUN-09 - 26-SEP-09. [Details] | |

(2009) | 2009 CMS Summer Meeting,Claus Koestler (2009) Noncommutative independence and characters of the symmetric group S∞. [Invited Lectures (Conference)], 2009 CMS Summer Meeting, St. John's, Newfoundland, Canada , 08-JUN-09 - 12-JUN-09. [Details] | |

(2009) | Departmental Colloquium,Claus Koestler (2009) Symmetry and independence in noncommutative probability theory. [Invited Seminars/Guest Lectures], Departmental Colloquium, Queen's University, Kingston, Ontario, Canada , 20-MAR-09 - 20-MAR-09. [Details] | |

(2009) | Departmental Colloquium,Claus Koestler (2009) Symmetry and independence in noncommutative probability theory. [Invited Seminars/Guest Lectures], Departmental Colloquium, Queen's University, Kingston, Ontario, Canada , 20-MAR-09 - 20-MAR-09. [Details] | |

(2009) | Departmental Colloquium,Claus Koestler (2009) Symmetry and independence in noncommutative probability theory. [Invited Seminars/Guest Lectures], Departmental Colloquium, Queen's University, Kingston, Ontario, Canada , 20-MAR-09 - 20-MAR-09. [Details] | |

(2009) | Departmental Colloquium,Claus Koestler (2009) Symmetry and independence in noncommutative probability theory. [Invited Seminars/Guest Lectures], Departmental Colloquium, Queen's University, Kingston, Ontario, Canada , 20-MAR-09 - 20-MAR-09. [Details] | |

(2008) | CMS Winter Meeting 2008,Claus Koestler (2008) A new characterization of freeness with amalgamation. [Invited Lectures (Conference)], CMS Winter Meeting 2008, Ottawa, Ontario, Canada , 06-DEC-08 - 08-DEC-08. [Details] | |

(2008) | 2008 AMS Spring Central Section Meeting,Claus Koestler (2008) On noncommutative independence from the braid group B∞. [Invited Lectures (Conference)], 2008 AMS Spring Central Section Meeting, Indiana University, Bloomington, Indiana, USA , 01-APR-08 - 05-APR-08. [Details] | |

(2008) | 2008 AMS Spring Central Section Meeting,Claus Koestler (2008) On noncommutative independence from the braid group B∞. [Invited Lectures (Conference)], 2008 AMS Spring Central Section Meeting, Indiana University, Bloomington, Indiana, USA , 01-APR-08 - 05-APR-08. [Details] | |

(2008) | 2008 AMS Spring Central Section Meeting,Claus Koestler (2008) On noncommutative independence from the braid group B∞. [Invited Lectures (Conference)], 2008 AMS Spring Central Section Meeting, Indiana University, Bloomington, Indiana, USA , 01-APR-08 - 05-APR-08. [Details] | |

(2008) | 2008 AMS Spring Central Section Meeting,Claus Koestler (2008) On noncommutative independence from the braid group B∞. [Invited Lectures (Conference)], 2008 AMS Spring Central Section Meeting, Indiana University, Bloomington, Indiana, USA , 01-APR-08 - 05-APR-08. [Details] | |

(2008) | Analysis Seminar,Claus Koestler (2008) A noncommutative extended de Finetti theorem. [Invited Seminars/Guest Lectures], Analysis Seminar, University of Illinois at Urbana-Champaign, Urbana, Illionos, USA , 13-MAR-08 - 13-MAR-08. [Details] | |

(2014) | QOP Network Meeting,Claus Koestler (2014) Noncommutative de Finetti theorems. [Invited Lectures (Conference)], QOP Network Meeting, Lancaster University, UK , 24-SEP-14 - 26-SEP-14. [Details] | |

(2014) | The 27th Annual September Meeting of the IMS,Claus Koestler (2014) Thompson Group F from the viewpoint of noncommutative probability. [Invited Lectures (Conference)], The 27th Annual September Meeting of the IMS, Queen's University Belfast, Belfast, Northern Ireland, UK , 05-SEP-14 - 05-SEP-14. [Details] | |

(2012) | Colloquium,Claus Koestler (2012) Noncommutative Probability. [Invited Seminars/Guest Lectures], Colloquium, School of Mathematical Sciences, University College Cork, Cork, Ireland , 04-OCT-12 - 04-OCT-12. [Details] | |

(2012) | Wales Mathematics Colloquium 2012,Claus Koestler (2012) Quantum permutation groups and free probability. [Invited Seminars/Guest Lectures], Wales Mathematics Colloquium 2012, Tregynon, UK , 21-MAY-12 - 23-MAY-12. [Details] | |

(2012) | Oberseminar zur Freien Wahrscheinlichkeit,Claus Koestler (2012) Ein operatoralgebraischer Zugang zur Darstellungstheorie der unendlichen symmetrischen Gruppe. [Invited Seminars/Guest Lectures], Oberseminar zur Freien Wahrscheinlichkeit, Fachbereich Mathematik, Universität des Saarlandes, Saarbrücken, Germany , 10-JAN-12 - 10-JAN-12. [Details] | |

(2011) | WIMCS Mathematical Physics Cluster Workshop Representations of Braid and Symmetric Groups - New Approaches,Claus Koestler (2011) Representations of the infinite symmetric group from the viewpoint of noncommutative probability. [Invited Lectures (Workshops)], WIMCS Mathematical Physics Cluster Workshop Representations of Braid and Symmetric Groups - New Approaches, Aberystwyth, Wales , 02-MAY-11 - 04-MAY-11. [Details] | |

(2011) | WIMCS Stochastics Cluster Meeting on Lévy Processes in Non-Commutative Probability and Related Topics II,Claus Koestler (2011) Spreadability in noncommutative probability. [Invited Lectures (Workshops)], WIMCS Stochastics Cluster Meeting on Lévy Processes in Non-Commutative Probability and Related Topics II, Department of Mathematics, Swansea University , 03-MAR-11 - 04-MAR-11. [Details] | |

(2010) | RIMS Workshop Mathematical Studies on Independence and Dependence Structure - Functional Analytic Point of View,Claus Koestler (2010) Distributional symmetries in noncommutative probability. [Invited Lectures (Workshops)], RIMS Workshop Mathematical Studies on Independence and Dependence Structure - Functional Analytic Point of View, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan , 20-DEC-10 - 24-DEC-10. [Details] | |

(2010) | 2010 International Review of Mathematical Sciences of the Engineering and Physical Sciences Research Council (EPSRC),Claus Koestler (2010) Symmetry and Independence in Quantum Probability. [Poster Presentation], 2010 International Review of Mathematical Sciences of the Engineering and Physical Sciences Research Council (EPSRC), Oxford University, Oxford, England , 08-DEC-10 - 08-DEC-10. [Details] | |

(2010) | Departmental Colloquium,Claus Koestler (2010) Quantization of distributional symmetries and invariance principles. [Invited Seminars/Guest Lectures], Departmental Colloquium, Memorial University, St. John's, Newfoundland , 26-NOV-10 - 26-NOV-10. [Details] | |

(2010) | Workshop Combinatorics & Coding at Aberystwyth. A Meeting in Honour of Vass Mavron,Claus Koestler (2010) A combinatorial problem on star generators of symmetric groups. [Invited Seminars/Guest Lectures], Workshop Combinatorics & Coding at Aberystwyth. A Meeting in Honour of Vass Mavron, Aberystwyth, Wales, UK , 26-AUG-10 - 26-AUG-10. [Details] | |

(2010) | International Conference on Quantum Probability and Related Topics,Claus Koestler (2010) Noncommutative independence from characters of the symmetric group S∞. [Invited Lectures (Conference)], International Conference on Quantum Probability and Related Topics, Bengaluru, India , 14-AUG-10 - 17-AUG-10. [Details] | |

(2012) | Quantum Probabilistic Symmetries,Rolf Gohm, John Gough and Claus. Köstler (2012) 2012 LMS Midlands Regional Meeting & Workshop. [Conference Organising Committee Member], Quantum Probabilistic Symmetries, Aberystwyth University, Aberystwyth, Wales, UK , 03-SEP-12 - 07-SEP-12. [Details] | |

(2013) | Seminar,Claus Koestler (2013) Symmetrien in der nichtkommutativen Wahrscheinlichkeitstheorie. [Invited Seminars/Guest Lectures], Seminar, Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS), Berlin (Germany) , 18-JAN-13 - 18-JAN-13. [Details] | |

(2012) | Colloquium,Claus Koestler (2012) What can noncommutative probability tell us about representation theory?. [Invited Seminars/Guest Lectures], Colloquium, Institute of Mathematics, University of Aberdeen, Aberdeen, UK , 07-SEP-12 - 07-SEP-12. [Details] | |

(2012) | Workshop on Probabilistic Methods in Quantum Mechanics,Claus Koestler (2012) Distributional symmetries for large quantum systems. [Invited Lectures (Workshops)], Workshop on Probabilistic Methods in Quantum Mechanics, Institut Camille Jordan of Université Claude Bernard Lyon 1, Lyon, France , 14-MAY-12 - 16-MAY-12. [Details] | |

(2012) | Quantum Information Seminar,Claus Koestler (2012) Distributional symmetries for large quantum systems. [Invited Seminars/Guest Lectures], Quantum Information Seminar, Institute of Theoretical Physics, ETH Zürich, Zürich, Switzerland , 02-MAY-12 - 02-MAY-12. [Details] | |

(2012) | Colloquium,Claus Koestler (2012) Symmetry and independence in noncommutative probability. [Invited Seminars/Guest Lectures], Colloquium, School of Mathematical and Physical Sciences, University of Newcastle, Newcastle, Australia , 23-APR-12 - 23-APR-12. [Details] | |

(2012) | AMS Special Session on Progress in Free Analysis and Free Probability of the 2014 AMS-MAA Joint Mathematics Meeting,Claus Koestler (2012) Quantum permutation groups and free probability. [Invited Lectures (Conference)], AMS Special Session on Progress in Free Analysis and Free Probability of the 2014 AMS-MAA Joint Mathematics Meeting, Cardiff, UK , 16-APR-12 - 20-APR-12. [Details] | |

(2011) | EU-NCG 4th Annual Meeting - Bucharest 2011,Claus Koestler (2011) Quantum Exchangeability. [Invited Lectures (Conference)], EU-NCG 4th Annual Meeting - Bucharest 2011, Bucharest, Rumania , 25-APR-11 - 30-APR-11. [Details] | |

(2011) | Workshop on Bialgebras in Free Probability - Random Matrix, Operator Algebra, and Mathematical Physics Aspects,Claus Koestler (2011) A new operator algebraic approach to representations of characters of the infinite symmmetric group. [Invited Lectures (Workshops)], Workshop on Bialgebras in Free Probability - Random Matrix, Operator Algebra, and Mathematical Physics Aspects, ESI Erwin Schrödinger Institute, Vienna, Austria , 11-APR-11 - 21-APR-11. [Details] | |

(2011) | Stochastic Analysis Seminar,Claus Koestler (2011) Symmetry and independence in noncommutative probability. [Invited Seminars/Guest Lectures], Stochastic Analysis Seminar, School of Mathematics, Loughborough University, Loughborough, England , 23-MAR-11 - 23-MAR-11. [Details] | |

(2011) | Workshop on Bialgebras in Free Probability - Combinatorial, Bialgebra, and Analytic Aspects,Claus Koestler (2011) Noncommutative independence in the infinite braid and symmetric group. [Invited Lectures (Workshops)], Workshop on Bialgebras in Free Probability - Combinatorial, Bialgebra, and Analytic Aspects, ESI Erwin Schrödinger Institute, Vienna, Austria , 14-FEB-11 - 25-FEB-11. [Details] | |

(2014) | AMS Special Session on Progress in Free Analysis and Free Probability of the 2014 AMS-MAA Joint Mathematics Meeting,Claus Koestler (2014) Quantum symmetric states on free product C*-algebras. [Invited Lectures (Conference)], | |

(2013) | 2013 WIMCS-LMS Conference on Classifying Structures for Operator Algebras and Dynamical Systems,Claus Koestler (2013) Quantum symmetric states on free product C*-algebras. [Invited Lectures (Conference)], 2013 WIMCS-LMS Conference on Classifying Structures for Operator Algebras and Dynamical Systems, Aberystwyth (Wales) , 16-SEP-13 - 20-SEP-13. [Details] | |

(2013) | Inter-Workshop of July 2013 Focus Program on Noncommutative Distributions in Free Probability,Claus Koestler (2013) Distributional symmetries in free probability. Double Lecture. [Invited Lectures (Workshops)], Inter-Workshop of July 2013 Focus Program on Noncommutative Distributions in Free Probability, Fields Institute, Toronto (Canada) , 08-JUL-13 - 18-JUL-13. [Details] | |

(2013) | Workshop on Combinatorial and Random Matrix Aspects of Noncommutative Distributions and Free Probability of July 2013 Focus Program on Noncommutative Distributions in Free Probability,Claus Koestler (2013) Quantum symmetric states on free product C*-algebras. [Invited Lectures (Workshops)], Workshop on Combinatorial and Random Matrix Aspects of Noncommutative Distributions and Free Probability of July 2013 Focus Program on Noncommutative Distributions in Free Probability, Fields Institute, Toronto (Canada) , 02-JUL-13 - 06-JUL-13. [Details] | |

(2011) | Conference on Analysis to the Honour of K. R. Parthasarathy's 75. Birthday,Claus Koestler (2011) The wonderful world of quantum coin tosses. [Invited Lectures (Conference)], Conference on Analysis to the Honour of K. R. Parthasarathy's 75. Birthday, Indian Statistical Institute (ISID), New Delhi , 23-DEC-11 - 25-DEC-11. [Details] | |

(2011) | Kolloquium des GK Mathematical Methods of Modern Quantum Physics,Claus Koestler (2011) Distributional symmetries in noncommutative probability. [Invited Seminars/Guest Lectures], Kolloquium des GK Mathematical Methods of Modern Quantum Physics, Göttingen, Germany , 20-JAN-11 - 20-JAN-11. [Details] | |

(2010) | 10th Sendai Workshop on Infinite Dimensional Analysis and Quantum Probability,Claus Koestler (2010) Noncommutative distributional symmetries and invariance principles. Introductory lectures I - III. [Keynote Speaker], 10th Sendai Workshop on Infinite Dimensional Analysis and Quantum Probability, Graduate School of Information Sciences, Tohoku University, Sendai, Japan , 13-DEC-10 - 17-DEC-10. [Details] | |

(2010) | ICM Satellite Conference on Operator Algebras,Claus Koestler (2010) Symmetry and independence in noncommutative probability theory. [Invited Lectures (Conference)], ICM Satellite Conference on Operator Algebras, The Institute of Mathematical Sciences (IMSc), Chennai, India , 09-AUG-10 - 13-AUG-10. [Details] | |

(2010) | Discrete Harmonic Analysis Seminar,Claus Koestler (2010) Thoma Theorem as a noncommutative De Finetti Theorem. [Invited Seminars/Guest Lectures], Discrete Harmonic Analysis Seminar, University of Wroclaw, Wroclaw, Poland , 21-JUL-10 - 21-JUL-10. [Details] | |

(2010) | 13th Workshop Noncommutative Harmonic Analysis,Claus Koestler (2010) Symmetry and independence in noncommutative probability theory. [Invited Lectures (Workshops)], 13th Workshop Noncommutative Harmonic Analysis, International Conference Center of the Mathematical Institute of the Polish Academy of Sciences, Bedlewo, Poland , 11-JUL-10 - 17-JUL-10. [Details] | |

(2010) | Séminaire Analyse Fonctionnelle Laboratoire de Mathématiques,Claus Koestler (2010) Representations of the infinite symmetric group S∞ in noncommutative probability spaces. [Invited Seminars/Guest Lectures], Séminaire Analyse Fonctionnelle Laboratoire de Mathématiques, Université de Franche- Comté, Besançon, France , 27-APR-10 - 27-APR-10. [Details] | |

(2010) | Mini-Workshop on Quantum Probability,Claus Koestler (2010) Thoma Theorem as a noncommutative De Finetti Theorem. [Invited Lectures (Workshops)], Mini-Workshop on Quantum Probability, Università degli Studi del Molise, Campobasso, Italy , 22-MAR-10 - 24-MAR-10. [Details] | |

(2010) | Colloquium,Claus Koestler (2010) Unitary representations of the infinite symmetric group S∞ in noncommutative probability spaces. [Invited Seminars/Guest Lectures], Colloquium, Department of Mathematics and Statistics, Queen's University, Kingston, Ontario , 15-MAR-10 - 15-MAR-10. [Details] | |

(2010) | Colloquium,Claus Koestler (2010) Unitary representations of the infinite symmetric group S∞ in noncommutative probability spaces. [Invited Seminars/Guest Lectures], Colloquium, Department of Mathematics and Statistics, Queen's University, Kingston, Ontario , 15-MAR-10 - 15-MAR-10. [Details] | |

(2010) | Colloquium,Claus Koestler (2010) Unitary representations of the infinite symmetric group S∞ in noncommutative probability spaces. [Invited Seminars/Guest Lectures], Colloquium, Department of Mathematics and Statistics, Queen's University, Kingston, Ontario , 15-MAR-10 - 15-MAR-10. [Details] | |

(2010) | Colloquium,Claus Koestler (2010) Unitary representations of the infinite symmetric group S∞ in noncommutative probability spaces. [Invited Seminars/Guest Lectures], Colloquium, Department of Mathematics and Statistics, Queen's University, Kingston, Ontario , 15-MAR-10 - 15-MAR-10. [Details] | |

(2010) | 13th Mathematical Colloquium,Claus Koestler (2010) Symmetry and independence in noncommutative probability. [Invited Seminars/Guest Lectures], 13th Mathematical Colloquium, Department of Mathematics and Statistics, University of Saskatoon, Saskatoon, Canada , 09-MAR-10 - 10-MAR-10. [Details] | |

(2010) | WIMCS Workshop Lévy Processes in Non-Commutative Probability and Related Topics,Claus Koestler (2010) Noncommutative random measure factorizations from the symmetric group S∞. [Invited Lectures (Workshops)], WIMCS Workshop Lévy Processes in Non-Commutative Probability and Related Topics, Department of Mathematics Swansea University, Swansea, Wales , 25-FEB-10 - 26-FEB-10. [Details] | |

(2009) | Annual Meeting of the Wales Institute for Mathematical and Computational Sciences (WIMCS),Claus Koestler (2009) Quantum exchangeability. [Invited Lectures (Conference)], Annual Meeting of the Wales Institute for Mathematical and Computational Sciences (WIMCS), Swansea, Wales, UK , 14-DEC-09 - 16-DEC-09. [Details] | |

(2009) | 30th Conference on Quantum Probability and Related Topics, Session Independence in Quantum Probability,Claus Koestler (2009) An application of exchangeability to the characters of the group of all finite permutations. [Invited Lectures (Conference)], 30th Conference on Quantum Probability and Related Topics, Session Independence in Quantum Probability, Santiago de Chile, Chile , 21-NOV-09 - 28-NOV-09. [Details] | |

(2009) | 30th Conference on Quantum Probability and Related Topics, Session Product Systems and Dilation Theory,Claus Koestler (2009) Discrete product systems and noncommutative independence. [Invited Lectures (Conference)], 30th Conference on Quantum Probability and Related Topics, Session Product Systems and Dilation Theory, Santiago de Chile, Chile , 21-NOV-09 - 28-NOV-09. [Details] | |

(2009) | Mini-Workshop on Product Systems and Independence in Quantum Dynamics,Claus Koestler (2009) Noncommutative factorizations. [Invited Lectures (Workshops)], Mini-Workshop on Product Systems and Independence in Quantum Dynamics, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach (Germany) , 15-FEB-09 - 21-FEB-09. [Details] | |

(2009) | Mini-Workshop on Product Systems and Independence in Quantum Dynamics,Claus Koestler (2009) Noncommutative de Finetti theorems and noncommutative independence. [Invited Lectures (Workshops)], Mini-Workshop on Product Systems and Independence in Quantum Dynamics, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach (Germany) , 15-FEB-09 - 21-FEB-09. [Details] | |

(2009) | AMS National Meeting 2009,Claus Koestler (2009) A new characterization of freeness with amalgamation. [Invited Lectures (Conference)], AMS National Meeting 2009, Washington, D.C., USA , 05-JAN-09 - 08-JAN-09. [Details] | |

(2008) | Colloquium,Claus Koestler (2008) A new characterization of freeness with amalgamation. [Invited Seminars/Guest Lectures], Colloquium, Queen's University, Kingston, Ontario, Canada , 11-NOV-08 - 11-NOV-08. [Details] | |

(2008) | Seminar,Claus Koestler (2008) De Finetti theorems in noncommutative probability. [Invited Seminars/Guest Lectures], Seminar, Texas A&M University, College Station, , 10-OCT-08 - 10-OCT-08. [Details] | |

(2008) | The 28th Annual Great Plains Operator Theory Symposium (GPOTS-2008),Claus Koestler (2008) A noncommutative extended de Finetti theorem. [Invited Lectures (Conference)], The 28th Annual Great Plains Operator Theory Symposium (GPOTS-2008), Cincinnati, Ohio, USA , 16-JUN-08 - 20-JUN-08. [Details] | |

(2008) | Seminar,Claus Koestler (2008) On the wonderful world of quantum coin tosses. [Invited Seminars/Guest Lectures], Seminar, Department of Mathematics, Computer Science, and Statistics, St. Lawrence University, Canton, NY, USA , 25-MAY-08 - 26-MAY-08. [Details] | |

(2008) | Canadian Abstract Harmonic Analysis Symposium,,Claus Koestler (2008) Braidability. [Invited Lectures (Conference)], Canadian Abstract Harmonic Analysis Symposium,, Carleton University, Ottawa, Ontario, Canada , 25-MAY-08 - 26-MAY-08. [Details] | |

(2008) | 36th Canadian Operator Symposium(COSy),Claus Koestler (2008) Braidability. [Invited Lectures (Conference)], 36th Canadian Operator Symposium(COSy), The Fields Institute University of Toronto, Ontario, Canada , 20-MAY-08 - 24-MAY-08. [Details] | |

(2008) | Quantum Topology / Hopf Algebra Seminar,Claus Koestler (2008) On noncommutative independence from braid groups. [Invited Seminars/Guest Lectures], Quantum Topology / Hopf Algebra Seminar, University of Illinois at Chicago, Chicago, Illinois, USA , 26-FEB-08 - 26-FEB-08. [Details] | |

(2014) | Free Probability Concentration Week, 2014,Claus Koestler (2014) Thompson Group F from the viewpoint of noncommutative probability. [Invited Lectures (Workshops)], Free Probability Concentration Week, 2014, Texas A&M University, College Station, Texas, USA , 21-JUL-14 - 25-JUL-14. [Details] | |

(2011) | Quantum Control and Operator Theory Meeting,Rolf Gohm, John Gough and Claus. Köstler (2011) International Meeting. [Conference Organising Committee Member], Quantum Control and Operator Theory Meeting, Aberystwyth University, Aberystwyth, Wales , 20-JAN-11 - 27-JAN-11. [Details] | |

(2011) | Representations of Braid and Symmetric Groups - New Approaches,David Evans, Rolf Gohm and Claus Köstler (2011) WIMCS Mathematical Physics Cluster Workshop. [Conference Organising Committee Member], Representations of Braid and Symmetric Groups - New Approaches, Aberystwyth University, Wales, UK , 02-MAY-11 - 03-MAY-11. [Details] | |

(2014) | Mini-workshop Quantum Symmetries in Free Probability of the ERC Advanced Grant Non-Commutative Distributions in Free Probability,Claus Koestler (2014) De Finetti type theorems in free probability and beyond. [Invited Lectures (Workshops)], Mini-workshop Quantum Symmetries in Free Probability of the ERC Advanced Grant Non-Commutative Distributions in Free Probability, Saarbrücken, Germany , 31-MAR-14 - 04-MAR-15. [Details] | |

(2013) | Colloquium,Claus Koestler (2013) Distributional symmetries in noncommutative probability. [Invited Seminars/Guest Lectures], Colloquium, School of Mathematical Sciences, University College Cork, Cork (Ireland) , 22-OCT-13 - 22-OCT-13. [Details] | |

(2013) | Undergraduate Colloquium,Claus Koestler (2013) Coin Tossing in a Quantum World. [Invited Seminars/Guest Lectures], Undergraduate Colloquium, School of Mathematical Sciences, University College Cork, Cork (Ireland) , 02-OCT-13 - 02-OCT-13. [Details] | |

(2013) | Colloquium,Claus Koestler (2013) De Finetti type theorems in free probability and beyond. [Invited Seminars/Guest Lectures], Colloquium, School of Mathematics, Statistics & Applied Mathematics, NUI Galway, Galway (Ireland) , 25-APR-13 - 25-APR-13. [Details] | |

(2013) | Seminar,Claus Koestler (2013) The Thompson group F from the viewpoint of noncommutative probability. [Invited Seminars/Guest Lectures], Seminar, IMAPS, Aberystwyth University, Aberystwyth (Wales) , 19-APR-13 - 19-APR-13. [Details] | |

(2013) | Oberseminar zur Freien Wahrscheinlichkeit,Claus Koestler (2013) The Thompson group F from the viewpoint of noncommutative probability. [Invited Seminars/Guest Lectures], Oberseminar zur Freien Wahrscheinlichkeit, Fachbereich Mathematik, Universität des Saarlandes, Saarbrücken (Germany) , 10-APR-13 - 10-APR-13. [Details] | |

(2013) | Kolloquium,Claus Koestler (2013) Symmetrien in der nichtkommutativen Wahrscheinlichkeitstheorie. [Invited Seminars/Guest Lectures], Kolloquium, Ernst-Moritz-Arndt-Universität Greifswald, Greifswald (Germany) , 19-JAN-13 - 19-JAN-13. [Details] | |

(2012) | UKIERI Conference on Quantum Probability, Noncommutative Geometry and Quantum Information,Claus Koestler (2012) Quantum coin tosses and their central limit theorems. [Invited Lectures (Conference)], UKIERI Conference on Quantum Probability, Noncommutative Geometry and Quantum Information, International Centre for Mathematical Sciences (ICMS), Edinburgh, UK , 16-AUG-12 - 18-AUG-12. [Details] | |

(2014) | Workshop on the Extended Family of R. Thompson's Groups,Claus Koestler (2014) Thompson group F from the viewpoint of noncommutative probability. [Invited Lectures (Workshops)], Workshop on the Extended Family of R. Thompson's Groups, University of St. Andrews, Scotland, UK , 26-MAY-14 - 30-MAY-14. [Details] |

### Committees

Committee | Function | From / To | |
---|---|---|---|

Boole 200 Committee | Member | 2014 / | |

Outreach Committee of the SMS | Member | 2014 / |

### Employment

Employer | Position | From / To | |
---|---|---|---|

University of Illinois at Urbana-Champaign | Visiting Assistant Professor | 01-JUL-07 / 30-JUN-08 | |

Queen's University, Kingston, Ontario | Assistant Adjunct Professor | 01-JUL-02 / 30-JUN-05 | |

Queen's University, Kingston, Ontario | Postdoctoral Fellow | 01-DEC-00 / 30-JUN-01 | |

Aberystwyth University | Research Associate | 01-SEP-09 / 30-NOV-12 | |

University College Cork | Lecturer in Mathematics (above the bar) | 01-DEC-12 / | |

Carleton University | Assistant Professor | 01-JUL-05 / 30-JUN-07 | |

St. Lawrence University | Visiting Assistant Professor | 01-JUL-08 / 30-JUN-09 |

### Languages

Language | Reading | Writing | Speaking | |
---|---|---|---|---|

English | Fluent | Fluent | Fluent | |

German | Fluent | Fluent | Fluent | |

French | Basic | Basic | Basic |

### Outreach Activities

Description | |
---|---|

I am occasionally tutoring sessions of the UCC Mathematics Enrichment Programme, organized by Dr Anca Mustata. |

## Teaching Activities

### Modules Taught

Term (ID)) | Title | Link | Subject | |
---|---|---|---|---|

2015 | Differential Calculus | MS2001 | Differential Calculus | |

2015 | Functional Analysis | MA4052 | Functional Analysis | |

2015 | Linear Algebra | MA2055 | Linear Algebra |