My 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.
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 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.
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.
My publications indexed in MathSciNet
My publications indexed in MathSciNet
Research Grants
| Project | Funding Body | Start Date | End Date | Award | |
|---|---|---|---|---|---|
| SoMS Staff Development Grant | Other: Not Listed | 01-JAN-22 | 31-DEC-22 | €1,065.00 | |
| SEFS New Connections Research Award | Other: Not Listed | 01-JAN-22 | 31-DEC-22 | €1,022.00 | |
| Unitary Representations of the Thompson Group from Stationary Markov Chains | Irish Research Council | 15-OCT-18 | 31-DEC-20 | €91,846.00 | |
| Algebraic Central Limit Laws in Noncommutative Probability | Other: Not Listed | 01-JUL-18 | 12-JAN-22 | €52,500.00 | |
| 2015 George Boole Mathematical Sciences Conference | Other: Not Listed | 17-AUG-15 | 28-AUG-15 | €108,000.00 | |
| 2015 George Boole Mathematical Conference and Workshop. | Science Foundation of Ireland | 01-JUN-15 | 30-NOV-15 | €29,000.00 | |
| Free Probability 2014 | UCC Strategic Research Fund | 01-JUL-14 | 30-JUN-15 | €1,526.65 | |
| SMS Colloquium | UCC Strategic Research Fund | 01-SEP-14 | 31-AUG-16 | €3,960.00 | |
| SEFS Start-up Research Grant. | Miscellaneous | 01-SEP-13 | 30-JUN-20 | €5,000.00 |
Publications
Peer Reviewed Journals
| Year | Publication | |
|---|---|---|
| (2023) | 'Markovianity and the Thompson monoid F+' Köstler, Claus; Krishnan, Arundhathi; Wills, Stephen J (2023) 'Markovianity and the Thompson monoid F+'. Journal of Functional Analysis, 284 (6) [DOI] [Details] | |
| (2022) | 'Markovianity and the Thompson group F' Köstler, Claus; Krishnan, Arundhathi (2022) 'Markovianity and the Thompson group F'. Symmetry Integrability and Geometry-Methods and Applications, 18 [DOI] [Details] | |
| (2022) | 'A central limit theorem for star-generators of S∞, which relates to traceless CCR-GUE matrices' Campbell, Jacob; Köstler, Claus; Nica, Alexandru (2022) 'A central limit theorem for star-generators of S∞, which relates to traceless CCR-GUE matrices'. International Journal Of Mathematics, 33 (Paper No. 2250065) [DOI] [Details] | |
| (2021) | 'A central limit theorem for star-generators of S∞, which relates to the law of a GUE matrix' Köstler, Claus; Nica, Alexandru (2021) 'A central limit theorem for star-generators of S∞, which relates to the law of a GUE matrix'. Journal Of Theoretical Probability, 34 (3):1248-1278 [DOI] [Details] | |
| (2017) | 'Semi-cosimplicial objects and spreadability' Evans, D. Gwion; Gohm, Rolf; Köstler, Claus (2017) 'Semi-cosimplicial objects and spreadability'. Rocky Mountain Journal of Mathematics, 47 (6):1839-1873 [DOI] [Details] | |
| (2015) | 'Quantum symmetric states on free product C*-algebras' Dykema, Kenneth J.; Köstler, Claus; Williams, John D. (2015) 'Quantum symmetric states on free product C*-algebras'. Transactions of The American Mathematical Society, 369 (1):645-679 [DOI] [Details] | |
| (2015) | 'Problem 1821' Holland, Finbarr; Köstler, Claus (2015) 'Problem 1821'. American Mathematical Monthly, 122 (2):176-176 [DOI] [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 [DOI] [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 [DOI] [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 [DOI] [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 [DOI] [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 [DOI] [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 [DOI] [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 [DOI] [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 [DOI] [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 [DOI] [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 [DOI] [Details] | |
| (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 [DOI] [Details] |
Published Reports
| Year | Publication | |
|---|---|---|
| (2015) | The Thompson group F from the viewpoint of noncommutative probability. Köstler, Claus (2015) The Thompson group F from the viewpoint of noncommutative probability. European Mathematical Society, Oberwolfach Report 28, Oberwolfach. [DOI] [Details] |
Manuscript
| Year | Publication | |
|---|---|---|
| (2010) | Noncommutative Independence from Characters of the Infinite Symmetric Group s∞. Gohm, Rolf; Köstler, Claus (2010) Noncommutative Independence from Characters of the Infinite Symmetric Group s∞. Manuscript [Details] | |
| (2004) | Noncommutative continuous Bernoulli shifts. Hellmich, Jürgen; Köstler, Claus; Kümmerer, Burkhard (2004) Noncommutative continuous Bernoulli shifts. Manuscript [Details] |
Books
| Year | Publication | |
|---|---|---|
| (2000) | Quanten-Markoff-Prozesse und Quanten-Brownsche Bewegungen. Ein Operatoralgebraischer Zugang. (Quantum Markov Processes and Quantum Brownian Motions. An Operator Algebraic Approach.) [German] Dissertation. Köstler, Claus (2000) Quanten-Markoff-Prozesse und Quanten-Brownsche Bewegungen. Ein Operatoralgebraischer Zugang. (Quantum Markov Processes and Quantum Brownian Motions. An Operator Algebraic Approach.) [German] Dissertation. Stuttgart: University Stuttgart. [Details] |
Professional Activities
Committees
| Committee | Function | From / To | |
|---|---|---|---|
| Athena SWAN Workgroup in Mathematics | Member | 2021 / | |
| SoMS Graduate Studies Committee | Vice-Chair | 2021 / 2022 | |
| Academic Council Graduate Studies Committee | Member | 2020 / 2025 | |
| College of SEFS Graduate Studies Committee | Member | 2016 / 2021 | |
| SoMS Graduate Studies Committee | Chair | 2016 / 2021 | |
| Outreach Committee of the SMS | Member | 2014 / | |
| Boole 200 Committee | Member | 2014 / |
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] | |
| (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] | |
| (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)], AMS Special Session on Progress in Free Analysis and Free Probability of the 2014 AMS-MAA Joint Mathematics Meeting, Baltimore, MD (USA) , 16-JAN-14 - 18-JAN-14. [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] | |
| (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] | |
| (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] | |
| (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] | |
| (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) | 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] | |
| (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) | 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) | 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] | |
| (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) | 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) | 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] | |
| (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) | 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) | 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] | |
| (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] | |
| (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] | |
| (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) | 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] | |
| (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) Noncommutative Probability. [Invited Seminars/Guest Lectures], Colloquium, School of Mathematical Sciences, University College Cork, Cork, Ireland , 04-OCT-12 - 04-OCT-12. [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] | |
| (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 - 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) | 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) | 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] | |
| (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 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] | |
| (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) | 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] | |
| (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) | 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] | |
| (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] | |
| (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) | 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] | |
| (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) | 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] | |
| (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) | 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) | 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) | 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) | 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) | 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] | |
| (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) | 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) | 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] | |
| (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) | 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] | |
| (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) | 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) | 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) | 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) | 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) | 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) | 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) | 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) | 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] | |
| (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) | 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) 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) | 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] | |
| (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] | |
| (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) | 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) | 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) | 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) | 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] |
Employment
| Employer | Position | From / To | |
|---|---|---|---|
| University College Cork | College Lecturer in Mathematics | 01-DEC-12 / | |
| Aberystwyth University | Research Associate | 01-SEP-09 / 30-NOV-12 | |
| St. Lawrence University | Visiting Assistant Professor | 01-JUL-08 / 30-JUN-09 | |
| University of Illinois at Urbana-Champaign | Visiting Assistant Professor | 01-JUL-07 / 30-JUN-08 | |
| Carleton University | Assistant Professor | 01-JUL-05 / 30-JUN-07 | |
| 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 |
Education
| Year | Institution | Qualification | Subject | |
|---|---|---|---|---|
| 2000 | Universität Stuttgart | Dr. rer. nat. | Mathematik |
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
Recent Postgraduates
| Graduation Year | Student Name | Institution | Degree Type | Thesis Title | |
|---|---|---|---|---|---|
| 2022 | Ayman Alahmade | University College Cork | PHD | Algebraic Central Limit Theorems in Noncommutative Probability |
Contact details
- Claus Michael Koestler
Lecturer in Mathematics - claus@ucc.ie
- School of Mathematical Sciences
Western Gateway Building, Western Road
University College Cork
Cork, T12 XF62, Ireland - +353 (0)21 420 5856
- euclid.ucc.ie/Claus/