**Dates**: 17 - 28 Aug 2015

**Venue**: Western Gateway Building, Room 1.07, UCC

A programme booklet covering Themes 1, 5 & 8 over August 17 - 25 is available here.

**Daniel Burgarth**: *Quantum Computing in Plato's Cave*

Daniel graduated with a degree in Physics from the University of Freiburg in 2004. His Ph.D research at University College London until 2007 explored aspects of quantum state transfer in one-dimensional spin systems. He then moved to the ETH Zurich and Oxford University, where as a postdoc and JRF, he researched in the areas of quantum information and computations. In 2009, he was awarded an EPSRC Fellowship in Theoretical Physics, working in the area of Quantum Control and Estimation in the group of Prof. Martin B. Plenio and Prof. Myungshik Kim at Imperial College London. Daniel held several visiting fellowships at RIKEN and Waseda University, Tokyo, where he has ongoing collaborations about quantum system theory. He moved to Aberystwyth in August 2011, to take up his appointment as Lecturer in Mathematics and Physics. Daniel is part of the Welsh Crucible 2013.

**Michael Wolf**: *(Un-)deciable Problems in Quantum Theory*

- Coming soon.

**B.V. Rajarama Bhat**: *Symmetric Representations of C*-algebras and Structure Theorems of Completely Bounded Maps*

B.V. Rajarama Bhat is an Indian mathematician specialising in operator theory. He is a Professor of Mathematics in Indian Statistical Institute, Bangalore. Professor Bhat obtained his MSc and PhD degrees from the Indian Statistical Institute, Kolkata. He was awarded the Shanti Swarup Bhatnagar Prize for Science and Technology in 2007, the highest science award in India, in the mathematical sciences category. Bhat is also the recipient of the Young Scientist Award of Indian National Science Academy in 1997 and the B. M. Birla Science prize for the year 1998. His notable publications include two books: Lectures on Operator Theory jointly edited with G. Elliott and P. Fillmore by published by the Fields Institute for Research in Mathematical Sciences (1999) and Cocycles of CCR Flows, published by the Memoirs of the American Mathematical Society (2001).

**Matthias Christandl**: *On Quantum Channels Appearing in Quantum Cryptography*

Matthias Christandl is a Professor the Department of Mathematical Sciences at the University of Copenhagen and his research is in the area of Quantum Information Theory. It is my aim to improve our understanding of the ultimate limits of computation and communication given by quantum theory. Concrete research results range from new protocols for the communication with single quantum particles (e.g. photons) to a new measure for quantum entanglement.

He started his postdoctoral career at the Institute of Theoretical Physics of ETH Zurich and as member of the research group Quantum Information Theory at ETH Zurich.He has obtained ground-breaking results in Quantum Cryptography which is regarded as one of the most promising candidates for a future quantum technology. Professor Christandl was chairing the Steering Committee of the annual conference series QCRYPT which was initiated in 2011 at Zurich to support the building of a research community in Quantum Cryptography. Two of his many publications have been, respectively, the second most downloaded papers of the month and of the week in Communications in Mathematical Physics, the most prestigious peer-reviewed journal of mathematical methods in physics.

**Hans Maassen**: The *Ergodic Decomposition of Measurement Records*

Dr J.D.M. Maassen (1951) has been appointed professor of Quantum Probability and Quantum Information at the University of Amsterdam’s (UvA) Faculty of Science. Maassen has been affiliated with Radboud University Nijmegen since 1986, where he has been associate professor of Probability and Statistics since 1999. In 1998 and 2000, Maassen was awarded research grants from the Netherlands Organisation for Scientific Research (NWO). At present, Maassen is working on the description of quantum-mechanical correlations (entanglement) in particle clusters and their symmetries, in which he is collaborating with other Amsterdam-based mathematicians. He also seeks collaboration with physicists at the UvA and computer scientists at the National Research Institute for Mathematics and Computer Science (CWI) in the quest for hardware for the quantum computers of the future, as well as the algorithms needed to programme them.

**Michael Christ**: *On the Fine Structure of the Fourier Transform and Additive Combinatorics *(Theme 5)

Michael Christ was educated at Harvey Mudd College and the University of Chicago, where he completed his PhD in 1982 under the supervision of A. P. Calderon. He was Instructor and Assistant Professor at Princeton University under the guidance of E. M. Stein. In 1986 he joined the UCLA faculty as Associate Professor and later Professor. He moved to UC Berkeley in 1996. He has been an invited speaker at the International Congress of Mathematicians (1990 and 1998). He was awarded the Stefan Bergmann Prize by the American Mathematical Society and the Distinguished Teaching Award by UC Berkeley, and was elected to the American Academy of Arts and Sciences in 2007. His research focuses on harmonic analysis and its interconnections with partial differential equations, complex analysis, and most recently, aspects of combinatorics.

**David Evans**: *The Search for the Exotic*

- Coming soon.

A programme booklet covering Themes 3, 7, 4 & 2 over August 24 - 28 is available here.

**Anatoly Vershik**: *The Filtrations of Boolean *σ*-algebras*

Anatoly Moiseevich Vershik (Russian: Анато́лий Моисе́евич Ве́ршик; born on 28 December 1933 in Leningrad) is a Soviet and Russian mathematician. He is most famous for his joint work with Sergey V. Kerov on representations of infinite symmetric groups and applications to the longest increasing subsequences.

Vershik studied at Leningrad State University, receiving his doctoral degree in 1974; his advisor was Vladimir Rokhlin. He works at the Steklov Institute of Mathematics and at Saint Petersburg State University. In 1998–2008 he was the president of the St. Petersburg Mathematical Society. In 2012 he became a fellow of the American Mathematical Society.

**J. ****Martin Lindsay**: *KMS-Symmetry and quantum Markov semigroups*

Professor J. Martin Lindsay obtained his PhD from the University of Nottingham in 1985. He returned to Nottingham as a lecturer and then reader after teaching and research positions in the University of Bristol, King's College London and ISI Delhi, before moving to Lancaster University in 2005. He works in quantum or noncommutative probability from a functional analytic perspective, with the main focus being on quantum stochastic analysis. He is the author of over 70 publications in the area.

**Ilya Shmulevich**: *Probabilistic Boolean Networks*

Ilya Shmulevich received his Ph.D. in Electrical and Computer Engineering from Purdue University, West Lafayette, IN, in 1997. From 1997-1998, he was a postdoctoral researcher at the Nijmegen Institute for Cognition and Information at the University of Nijmegen and National Research Institute for Mathematics and Computer Science at the University of Amsterdam in The Netherlands, where he studied computational models of music perception and recognition. In 1998-2000, he worked as a senior researcher at the Tampere International Center for Signal Processing at the Signal Processing Laboratory in Tampere University of Technology, Tampere, Finland. From 2001-2005, he was an Assistant Professor at the Cancer Genomics Laboratory in the Department of Pathology at The University of Texas M. D. Anderson Cancer Center and an Adjunct Professor in the Department of Statistics in Rice University. Presently, he is a Professor at The Institute for Systems Biology, where he directs a Genome Data Analysis Center that is part of The Cancer Genome Atlas (TCGA) project. He is an Affiliate Professor in the Departments of Bioengineering and Electrical Engineering at the University of Washington, Department of Signal Processing in Tampere University of Technology, Finland, and Department of Electronic and Electrical Engineering in Strathclyde University, Glasgow, UK. He is an Associate Editor of EURASIP Journal on Bioinformatics and Systems Biology and a Senior Member of the IEEE. His research interests include systems biology, nonlinear signal and image processing, and computational learning theory.

**Dana Scott**: *Setoids/Modest Sets/PERs*

Dana Stewart Scott was born 11 October 1932 in Berkeley, California. He studied at the University of California, Berkeley, USA (Bachelor of Arts 1954). He then received his doctorate at Princeton University (Ph.D. 1958), where his advisor was Alonzo Church. His long and storied career started at the University of Chicago and included positions at Stanford, Princeton and Oxford University as well as time spent at Carnegie Mellon University and the University of Linz, Austria.

Scott received the Turing Award of the Association of Computing Machinery (1976), "along with Michael O. Rabin, for their joint paper 'Finite Automata and Their Decision Problem,' which introduced the idea of nondeterministic machines, which has proved to be an enormously valuable concept. Their (Scott & Rabin) classic paper has been a continuous source of inspiration for subsequent work in this field." Scott subsequently became an internationally recognized mathematical logician whose work has spanned computer science, mathematics, and philosophy. He made seminal contributions to automata theory, modal logic, model theory, set theory, and the theory of programming languages. He has made fundamental contributions to contemporary logic and is known for his creation of domain theory, a branch of mathematics that is essential for analyzing computer programming languages.

After retirement, he and his wife, Irene, have now resided in Berkeley since 2005. Their daughter, Monica, lives nearby with her husband and the two grandchildren.

**Maciej Dunajski**: *Quartics, Sextics and Beyond*.

I read physics in Lodz, Poland and received a PhD in mathematics from Oxford University where I held a Senior Scholarship at Merton College and wrote my thesis under the supervision of Lionel Mason. After spending four years as a lecturer in the Mathematical Institute in Oxford where I was a member of Roger Penrose's research group I moved to Cambridge, where I am a Fellow and Graduate Tutor at Clare College and a Senior Research Associate at the Department of Applied Mathematics and Theoretical Physics. In 2011 I received a title of Professor awarded by the President of the Republic of Poland. My research interests are Twistor Theory, Integrable Systems, Solitons, and Differential Geometry.

**Aaron Bertram**: *Coming soon.*

- Coming soon.

**Des MacHale**: *Coming soon.*

Des MacHale was born in Castlebar, County Mayo in 1946. He won a scholarship to University College Galway where he studied Mathematics and Mathematical Physics. He was awarded a Ph.D in Mathematics from the University of Keele in 1972. University College Cork was where Des excelled in his teaching, starting as a temporary assistant lecturer in Mathematics in 1972. He is now Associate Professor of Mathematics at University College Cork, where he somehow found time to receive a Diploma in Geology in 1994. He lives in Cork with his wife and five children. Humour and humorous quotations are another of Des passions. He had his own series, The Comedians, on RTÃ Radio One from 1977 to 1989 and is a regular contributor to all forms of media on both mathematics and humour. He has had over thirty humour books published, including the hugely successful series of *Wit* books. He is famous for his defence of the joke against the politically correct, and is also a regular delegate at humour conferences the world over.

**Vaughan Pratt**: *Aristotle, Boole, and Chu: Duality since 350 BC. *

Vaughan Pratt is Professor Emeritus of Computer Science at Stanford University. He obtained his Ph.D. from Stanford under Donald Knuth. He taught at MIT from 1972 to 1981 and thereafter at Stanford. He is a Fellow of the Association for Computing Machinery. He has published over a hundred papers, over half of which are on logic, including dynamic logic as a marriage of modal logic and regular expressions and logics of concurrent behaviour based on Chu spaces. In other areas he is known for the Pratt parser, Pratt certificates, the Knuth-Morris-Pratt algorithm, and the Sun logo. In his retirement he wrote a number of Wikipedia articles on logic including sections 2-8 of "Boolean algebra" and all of "Boolean algebras canonically defined". He is currently working on model complexity of global climate.

**Rajarshi Roy**: *Coming soon.*

Rajarshi Roy was a student of Leonard Mandel at the University of Rochester, who taught him to design small scale table-top experiments and explore the nature of light and its interaction with atoms and molecules. Understanding order and randomness in light and matter has been a passion ever since. After receiving his Ph.D in 1981, he went to Boulder, Colorado, as a postdoctoral research associate to work at the Joint Institute for Laboratory Astrophysics (JILA) and then moved to the School of Physics, Georgia Institute of Technology, in 1982. He worked there for seventeen years and was chair of the School when he moved to the University of Maryland, College Park, to set up a laboratory for research on the nonlinear dynamics of optical devices and systems.

Since 1999 he has worked there in the Department of Physics, the Institute of Physical Science and Technology (he served as the director of IPST from 2003 - 2014), and the Institute for Research in Electronics and Applied Physics (IREAP), where his labs are located. Over the past several years he has collaborated on neuroscience research with Dietmar Plenz at the National Institutes of Health. He has guided, individually or jointly with other faculty, the research of thirty four Ph.D. students, including sixteen from the University of Maryland, and worked with many postdoctoral fellows and visiting faculty, over a period of thirty years. He is a Fellow of the Optical Society of America and the American Physical Society.

**Chris Rogers**: *Coming soon.*

Chris Rogers took up the Chair of Statistical Science at Cambridge University in September 2002, after almost nine years at the University of Bath, where he was Professor of Probability in the Department of Mathematical Sciences. Chris works in the theory of probability and its applications, particularly in quantitative finance. His work in finance includes the potential approach to the term structure of interest rates, complete models of stochastic volatility, portfolio turnpike theorems, improved binomial pricing, robust hedging, liquidity modelling, axiomatics of valuation operators, the equity premium puzzle, duality in optimal investment/consumption, and Monte Carlo valuation of American options.

Within Cambridge, he is the instigator of Cambridge Finance , and leads the Quantitative Finance Group in the Statistical Laboratory. Together with Professor David Williams, Chris wrote the two volume work `Diffusions, Markov Processes, and Martingales', originally published by Wileys, Chichester, and now re-released by Cambridge University Press. Chris has participated in several Risk training courses, and has consulted for a number of clients in the financial services industry, including the Cambridge-based hedge fund Cantab Capital Partners.

**Don Monk**: *Some cardinal functions on Boolean algebras *

PhD 1961 at Univ. Calif. Berkeley under Alfred Tarski. Asst. Prof. - Assoc. Prof. - Prof. at University of Colorado, Boulder, 1962 -2015. Retired June 2015. Visitor at Eidgenossische Technische Hochschule, Zurich many times; also at Freie Universitat Berlin, Chechoslovak Academy of Sciences, Humboldt Universitat Berlin, Univ. of Calif., Berkeley, Ben Gurion University, Hungarian Academy of Sciences. Author of 9 books, co-editor of 4. 85 publications.

**Franz Pedit**: *IMS*

Franz Pedit obtained his Ph.D. at the Universität Innsbruck, Austria in 1985 under the supervision of Ottmar Loos. He has worked at the Technical University of Berlin, Emory University, the University of North Carolina Chapel Hill and Tübingen University. He is a Professor at the University of Massachusetts at Amherst. His research concerns differential geometry and integrable partial differential equations.

**Murial Medard**: *IMS*

- Coming soon.