This exclusive programme will give participants the opportunity to attend lectures focusing on mathematics, physics, computer science, and cosmology. Through attending lectures from faculty members from the University of Oxford and the University of Cambridge, delegates will gain an understanding of the various fields within the science spectrum. Oxford is famed for it’s advanced research facilities and Nobel Prize winners for scientific discoveries. Delegates will experience both practical and theory-based teaching with complementary visits to research laboratories.
About This Programme
|Length||Science & Technology courses take place during the month of August, with multiple courses on offer. Please note if you select the Science & Technology track, you can only select courses from this track.|
Summer Session 3: 29 July – 11 August 2018
Summer Session 4: 12 August – 25 August 2018
|Lectures / Exams||15-20 hours of seminar style lectures covering your course are given per week by highly experienced and qualified tutors, lecturers, doctors, and professors from the University of Oxford (UK) and/or the University of Cambridge (UK). Oriel College (University of Oxford, UK) will award for each delegate who successfully graduates from the programme with a Certificate of Attendance and Achievement. We require all students to attend at least 1 exam to receive an Academic Transcript issued by Oriel College (University of Oxford, UK). There are weekly exams scheduled for every course.|
|Accommodation||Single dormitory room with shared bathroom facilities, includes daily breakfast. The full board option is available to all students for an additional fee of 420 GBP.|
|Fees||Please see our fees & tuition.|
|Prerequisites||This is an open enrolment course, we recommend applicants to have prior knowledge or strong interest in the subject/course they are enrolling in.|
|Additional Information||In addition to lectures given, this course also includes various extra-curricular activities such as social events & leisure activities, visits to businesses and institutions in London, and excursions to famous places and historical landmarks. Learn more about Programme Information.|
- Course Timetable
- Course Description
* Delegates are welcome to participate in multiple sessions. Each week, students will participate in a course of their choice in their preferred track.
* Each track offers courses in one academic discipline.
* It is possible for delegates to choose a course that is not in their track.
* As the beginning of the programme nears, enrolled delegates will be asked to select their courses.
* Delegates will be assigned to courses, subject to availability. While we are able to allocate most students to their preferred courses, on some occasions students will be allocated their second choice.
* Delegates are welcome to extend their stay by participanting in multiple sessions either in Oxford or our sister-programme Cambridge Summer Institute at Magdalene College, Cambridge.
Below is a draft schedule for Summer Institute at Oriel College (click to enlarge)
*Disclaimer* Changes to the course description, topics, programme structure, and schedules may occur due to the availability of faculty members at the actual time of the programme.
There are visits to various institutions and labs in Oxford, Cambridge or London give delegate the opportunity to see how the theory they learn in class is applied in science and technology.
Business & Legal English
This course will focus on the reading, writing, and listening skills of the English language in a business context. By being able to understand and use the business language, participants have the possibility to further their careers in both their quality of work and build relationships among colleagues and clients.
Delegates will develop the ability to communicate on an international level using precise and correct legal language. Upon completion of the course, participants will improve their confidence in explaining points of law, enhance their drafting and editing skills, and ultimately represent their organisation in a more effective manner.
Cosmology and Large-Scale Structures
The aim of this course is to present the most relevant theoretical and observational results on which modern cosmology are based. The course covers the basic mathematical framework of the standard cosmological model, its observational motivations and its most important shortcomings. At the end of the course students should be able to understand the main open questions in cosmology, as well as the current and future observational and computational tools used to tackle them.
Theoretical Physics: Symmetries and Field Theories
This short course will focus on one of the primary guides to our understanding of modern day physics: symmetries. In particular, how symmetries can be used to construct gauge theories, the Higgs mechanism and gravity as a gauge theory. Topics covered include Symmetries and field theories, The Higgs mechanism and gravity as a gauge theory, Shift and Galilean symmetries in the early and late universe.
Differential equations are one of the most fundamental tools in almost all areas of science. The aim of this course is to give an introduction to the numerical solution of differential equations. Starting with the representation and approximation of functions (continuous objects) by vectors (discrete data), delegates discuss how the basic calculus tasks (differentiation, integration) are done on a computer and move on to solving differential equations. The course will be a combination of lectures and practical computing work.
Image Processing & Surface Computing
Image Processing: Image processing uses mathematics to manipulate digital images like from a camera or a medical scanning device. The aim of this course is to give an introduction to diffusion PDEs as a means for image processing. Diffusion processes are used to remove noise while preserving or enhancing features such as edges which play an important role in the human perception of an image. In particular we will discuss edge-stopping, edge-enhancing, and coherence-enhancing diffusion models. Beyond that we will give an overview over other image processing tasks such as image inpainting and image deblurring which can be modelled with PDEs. The course will be a combination of lectures and practical computing work.
Surface Computing: This course introduces numerical solutions of Partial Differential Equations (PDEs) on surfaces using the Closest Point Method. Surface PDEs arise from many applications in physics, biology, and engineering. Among various numerical techniques for solving surface PDEs, the Closest Point Method is easy to implement and it works for a wide range of PDEs on surfaces with complex geometries. This course will cover basic theories, numerics and MATLAB implementations related to the method. On completion of the course, students can potentially solve interesting PDEs on intricate surfaces.
Artificial Intelligence: Knowledge Representation and Ontologies
Knowledge Representation is at the heart of the great challenge of Artificial Intelligence: to understand the nature of intelligence and cognition so that computers can exhibit human-like abilities. Pioneers of the field such as John McCarthy believed that (artificial) intelligence could be formalised as symbolic reasoning with explicit representations of human knowledge given in some form of Logic. In this setting, the key challenge is to effectively represent knowledge in computers and to exploit it algorithmically to perform tasks in an intelligent way.
Since its very inception, Knowledge Representation has been an inter-disciplinary field which lies at the intersection between Logic and Metamathematics, Philosophy, and Computer Science. This course focuses on general methods for representing human knowledge in Artificial Intelligence, and will be given mostly from a Computer Science perspective. The course will cover not only foundations and algorithms, but also Semantic and Ontology-based Technologies and their role on modern Information Systems.
The course is self-contained and assumes no prior knowledge of Logic or Computer Science. It begins with general background on Classical Logic, Theorem Proving, and Computational Complexity. Then, it turns to specialised logic-based languages that are commonly exploited in applications. We will put special emphasis on the so-called Ontology Languages, their underpinning formalisations, and their implementation in modern
Quantum computing first appeared in the 1980s in the work of Drinfield and Jimbo on universal R-matrices. These were related to exactly solvable systems in statistical mechanisms. Quantum groups appear in many areas of mathematics and mathematical physics such as representation theory, non-commutive geometry, knot invariants, conformal field theory and topological quantum field theory.
In this course participants will survey quantum groups and their relations to the above-mentioned areas of mathematics and mathematical physics. We will look at the Yang-Baxter equation and its relation to knot theory, the definition of quantum groups and the universal R-matrix, the perspective of non-commutative geometry on quantum groups and basic concepts from TQFT and its application to quantum computing. The aim of this course is to give an overview of active areas of research. The required prerequisites are linear algebra. Some knowledge of basic representation theory and ring theory will be useful.
Department of Physics
University of Oxford
Johannes Noller is a Postdoctoral Research Assistant in Early Universe Physics in the Physics Department at the University of Oxford, UK. He is also an Extraordinary Junior Research Fellow at Queen’s College, University of Oxford, UK. In 2012 he completed his Doctor of Philosophy in Theoretical Physics at Imperial College London and he received a first class honours MPhysPhil from Balliol College, University of Oxford, UK.
Dr Martin Robinson
University of Oxford
Martin Robinson is a Postgraduate Research Assistant working on multiscale reaction-diffusion modeling at OCCAM Oxford Centre for Collaborative Applied Mathematics, University of Oxford, UK. Prior to this, Martin was working as a Marie Curie Experienced Researcher (Postdoc) working on multiphase simulations of fluid particle systems in Multiscale Mechanics Group, University of Twente, The Netherlands. He received his Ph.D from the School of Mathematical Sciences, Monash University, Australia.
Prof Bernardo Cuenca Grau
Department of Computer Science
University of Oxford
Bernardo Cuenca Grau is a Full Professor of Computer Science and a Supernumerary Fellow at Oriel College. He also holds a prestigious University Research Fellowship awarded by the Royal Society. Professor Cuenca Grau joined the Department of Computer Science from the University of Manchester. His research interests are in Artificial Intelligence and Information Systems; in particular, his research focuses on logics for Knowledge Representation, semantics-based technologies, and their applications. His research covers a wide spectrum within these areas, which includes theory and foundations, algorithm design, tool development, technology standards, and end-user applications. He has published over 100 articles in leading academic journals and conferences.
Dr Kobi Kremnitzer
Department of Computer Science
University of Oxford
Kobi Kremnitzer’s areas of research are geometry, algebra and mathematical physics. Highly intra-disciplinary research includes geometric representation theory, non-commutative algebraic geometry, analytic geometry, homotopy type theory and mathematical approaches to quantum eld theory. An associate professor in Oxford and tutorial fellow in Oriel college since 2009. Before that he was at MIT and at the University of Chicago. From 2005 to 2009 he was the principle investigator (PI) on a large NSF grant focusing on non-commutative algebraic geometry and its applications to representation theory. In Oxford he has forged strong links between the research groups in algebra, geometry, number theory and math physics and with the department of computer sciences. He is the Oxford PI on an EPSRC programme grant “Symmetries and Correspondences” joint between the university of Oxford and the university of Nottingham, an investigator on D. Joyce’s EPSRC programme grant, and a senior member of the Centre for Quantum Mathematics and Computation in Oxford. He was the organiser of the homotopy type theory programme in Oxford (September to December 2014) in which V. Voevodsky (Fields Medalist) is the senior researcher and a term long lecturer. He has organised 9 international conferences, including a recent Clay Math Institute (CMI) conference in July 2014 and a workshop on the homotopy type theory programme in November 2014. He was one of the organisers of the 2015 workshop in Oxford on Mochizuki’s work on the abc conjecture.
Dr Elisa Chisari
Department of Physics
University of Oxford
Dr Chisari completed her PhD in the Deparment of Astrophysical Sciences at Princeton University in September 2014. She received her undergraduate degree in Physics from the Universidad de Buenos Aires, Argentina. Her main current interests are cosmology, in particular, she studies the intrinsic alignments of galaxies. She also likes to think about galaxy clusters and their connection to the large-scale structure of the Universe.
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