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Project acronym 2DQP
Project Two-dimensional quantum photonics
Researcher (PI) Brian David GERARDOT
Host Institution (HI) HERIOT-WATT UNIVERSITY
Summary Quantum optics, the study of how discrete packets of light (photons) and matter interact, has led to the development of remarkable new technologies which exploit the bizarre properties of quantum mechanics. These quantum technologies are primed to revolutionize the fields of communication, information processing, and metrology in the coming years. Similar to contemporary technologies, the future quantum machinery will likely consist of a semiconductor platform to create and process the quantum information. However, to date the demanding requirements on a quantum photonic platform have yet to be satisfied with conventional bulk (three-dimensional) semiconductors. To surmount these well-known obstacles, a new paradigm in quantum photonics is required. Initiated by the recent discovery of single photon emitters in atomically flat (two-dimensional) semiconducting materials, 2DQP aims to be at the nucleus of a new approach by realizing quantum optics with ultra-stable (coherent) quantum states integrated into devices with electronic and photonic functionality. We will characterize, identify, engineer, and coherently manipulate localized quantum states in this two-dimensional quantum photonic platform. A vital component of 2DQP's vision is to go beyond the fundamental science and achieve the ideal solid-state single photon device yielding perfect extraction - 100% efficiency - of on-demand indistinguishable single photons. Finally, we will exploit this ideal device to implement the critical building block for a photonic quantum computer.
Quantum optics, the study of how discrete packets of light (photons) and matter interact, has led to the development of remarkable new technologies which exploit the bizarre properties of quantum mechanics. These quantum technologies are primed to revolutionize the fields of communication, information processing, and metrology in the coming years. Similar to contemporary technologies, the future quantum machinery will likely consist of a semiconductor platform to create and process the quantum information. However, to date the demanding requirements on a quantum photonic platform have yet to be satisfied with conventional bulk (three-dimensional) semiconductors. To surmount these well-known obstacles, a new paradigm in quantum photonics is required. Initiated by the recent discovery of single photon emitters in atomically flat (two-dimensional) semiconducting materials, 2DQP aims to be at the nucleus of a new approach by realizing quantum optics with ultra-stable (coherent) quantum states integrated into devices with electronic and photonic functionality. We will characterize, identify, engineer, and coherently manipulate localized quantum states in this two-dimensional quantum photonic platform. A vital component of 2DQP's vision is to go beyond the fundamental science and achieve the ideal solid-state single photon device yielding perfect extraction - 100% efficiency - of on-demand indistinguishable single photons. Finally, we will exploit this ideal device to implement the critical building block for a photonic quantum computer.
Project acronym ACOUSEQ
Project Acoustics for Next Generation Sequencing
Researcher (PI) Jonathan Mark Cooper
Summary Since completion of the first human genome sequence, the demand for cheaper and faster sequencing methods has increased enormously. This need has driven the development of second-generation sequencing methods, or next-generation sequencing (also known as NGS or high throughput sequencing). The creation of these platforms has made sequencing accessible to more laboratories, rapidly increasing the volume of research, including clinical diagnostics and its use in directing treatment (precision medicine). The applications of NGS are also allowing rapid advances in clinically related fields such as public health and epidemiology. Such developments illustrate why sequencing is now the fastest-growing area in genomics (+23% p.a.). The activity is said to be worth $2.5B this year, and poised to reach ~$9B by 2020. In any workflow, prior to the sequencing reactions, a number of pre-sequencing steps are required, including the fragmentation of the DNA into smaller sizes for processing, size selection, library preparation and target enrichment. This proposal is specifically concerned with this latter area, namely DNA fragmentation – now widely acknowledged across the industry as being the most important technological bottleneck in the pre-sequencing workflow. Our new method for DNA fragmentation – involving using surface acoustic waves will enable sample preparation from lower sample volumes using lower powers. It also has the potential to allow the seamless integration of fragmentation into sequencing instrumentation, opening up the possibility of "sample to answer" diagnostics. In the near term this will enable the implementation of sample preparation pre-sequencing steps within the NGS instruments. In the longer term, our techniques will also enable us to develop methods for field-based DNA sequencing – as may be required for determining "microbial resistance" and informing the treatment of infectious disease in the face of the emergence of drug resistance.
Since completion of the first human genome sequence, the demand for cheaper and faster sequencing methods has increased enormously. This need has driven the development of second-generation sequencing methods, or next-generation sequencing (also known as NGS or high throughput sequencing). The creation of these platforms has made sequencing accessible to more laboratories, rapidly increasing the volume of research, including clinical diagnostics and its use in directing treatment (precision medicine). The applications of NGS are also allowing rapid advances in clinically related fields such as public health and epidemiology. Such developments illustrate why sequencing is now the fastest-growing area in genomics (+23% p.a.). The activity is said to be worth $2.5B this year, and poised to reach ~$9B by 2020. In any workflow, prior to the sequencing reactions, a number of pre-sequencing steps are required, including the fragmentation of the DNA into smaller sizes for processing, size selection, library preparation and target enrichment. This proposal is specifically concerned with this latter area, namely DNA fragmentation – now widely acknowledged across the industry as being the most important technological bottleneck in the pre-sequencing workflow. Our new method for DNA fragmentation – involving using surface acoustic waves will enable sample preparation from lower sample volumes using lower powers. It also has the potential to allow the seamless integration of fragmentation into sequencing instrumentation, opening up the possibility of "sample to answer" diagnostics. In the near term this will enable the implementation of sample preparation pre-sequencing steps within the NGS instruments. In the longer term, our techniques will also enable us to develop methods for field-based DNA sequencing – as may be required for determining "microbial resistance" and informing the treatment of infectious disease in the face of the emergence of drug resistance.
Project acronym ACrossWire
Project A Cross-Correlated Approach to Engineering Nitride Nanowires
Researcher (PI) Hannah Jane JOYCE
Host Institution (HI) THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
Summary Nanowires based on group III–nitride semiconductors exhibit outstanding potential for emerging applications in energy-efficient lighting, optoelectronics and solar energy harvesting. Nitride nanowires, tailored at the nanoscale, should overcome many of the challenges facing conventional planar nitride materials, and also add extraordinary new functionality to these materials. However, progress towards III–nitride nanowire devices has been hampered by the challenges in quantifying nanowire electrical properties using conventional contact-based measurements. Without reliable electrical transport data, it is extremely difficult to optimise nanowire growth and device design. This project aims to overcome this problem through an unconventional approach: advanced contact-free electrical measurements. Contact-free measurements, growth studies, and device studies will be cross-correlated to provide unprecedented insight into the growth mechanisms that govern nanowire electronic properties and ultimately dictate device performance. A key contact-free technique at the heart of this proposal is ultrafast terahertz conductivity spectroscopy: an advanced technique ideal for probing nanowire electrical properties. We will develop new methods to enable the full suite of contact-free (including terahertz, photoluminescence and cathodoluminescence measurements) and contact-based measurements to be performed with high spatial resolution on the same nanowires. This will provide accurate, comprehensive and cross-correlated feedback to guide growth studies and expedite the targeted development of nanowires with specified functionality. We will apply this powerful approach to tailor nanowires as photoelectrodes for solar photoelectrochemical water splitting. This is an application for which nitride nanowires have outstanding, yet unfulfilled, potential. This project will thus harness the true potential of nitride nanowires and bring them to the forefront of 21st century technology.
Nanowires based on group III–nitride semiconductors exhibit outstanding potential for emerging applications in energy-efficient lighting, optoelectronics and solar energy harvesting. Nitride nanowires, tailored at the nanoscale, should overcome many of the challenges facing conventional planar nitride materials, and also add extraordinary new functionality to these materials. However, progress towards III–nitride nanowire devices has been hampered by the challenges in quantifying nanowire electrical properties using conventional contact-based measurements. Without reliable electrical transport data, it is extremely difficult to optimise nanowire growth and device design. This project aims to overcome this problem through an unconventional approach: advanced contact-free electrical measurements. Contact-free measurements, growth studies, and device studies will be cross-correlated to provide unprecedented insight into the growth mechanisms that govern nanowire electronic properties and ultimately dictate device performance. A key contact-free technique at the heart of this proposal is ultrafast terahertz conductivity spectroscopy: an advanced technique ideal for probing nanowire electrical properties. We will develop new methods to enable the full suite of contact-free (including terahertz, photoluminescence and cathodoluminescence measurements) and contact-based measurements to be performed with high spatial resolution on the same nanowires. This will provide accurate, comprehensive and cross-correlated feedback to guide growth studies and expedite the targeted development of nanowires with specified functionality. We will apply this powerful approach to tailor nanowires as photoelectrodes for solar photoelectrochemical water splitting. This is an application for which nitride nanowires have outstanding, yet unfulfilled, potential. This project will thus harness the true potential of nitride nanowires and bring them to the forefront of 21st century technology.
Project acronym AdaSmartRes
Project Adapter for a commercial grade camera or a smart phone to perform depth resolved imaging
Researcher (PI) Adrian PODOLEANU
Host Institution (HI) UNIVERSITY OF KENT
Summary The proposal refers to a patented adapter that can transform a commercial grade digital camera or the camera in a smart phone into a depth resolved imaging instrument. Several adapters will be assembled, making use of optical coherence tomography (OCT) technology protected by some other of PI's patents. The activity takes advantage of recent progress in commercial grade cameras in terms of their modes of operation as well as in terms of parameters of their devices, such as sensitivity and speed of their photodetector arrays. Three versions of low cost functional OCT systems will be assembled as proof of concepts responding to needs of three possible markets that can be addressed by such an adapter: 1. En-face depth resolved, high transversal resolution microscope; 2. Fast cross sectioning imager. 3. Swept source volumetric analyser. Industrial input comes from a company involved in professional eye imaging systems, a company already selling adapters for smart phones to perform medical imaging, a company specialised in digital photographic equipment and a company efficient in prototyping photonics equipment and handling medical images. Clinical input is provided by two specialists in the two highest potential medical imaging markets of the adapter serving ophthalmology and ear, nose and throat speciality.
The proposal refers to a patented adapter that can transform a commercial grade digital camera or the camera in a smart phone into a depth resolved imaging instrument. Several adapters will be assembled, making use of optical coherence tomography (OCT) technology protected by some other of PI's patents. The activity takes advantage of recent progress in commercial grade cameras in terms of their modes of operation as well as in terms of parameters of their devices, such as sensitivity and speed of their photodetector arrays. Three versions of low cost functional OCT systems will be assembled as proof of concepts responding to needs of three possible markets that can be addressed by such an adapter: 1. En-face depth resolved, high transversal resolution microscope; 2. Fast cross sectioning imager. 3. Swept source volumetric analyser. Industrial input comes from a company involved in professional eye imaging systems, a company already selling adapters for smart phones to perform medical imaging, a company specialised in digital photographic equipment and a company efficient in prototyping photonics equipment and handling medical images. Clinical input is provided by two specialists in the two highest potential medical imaging markets of the adapter serving ophthalmology and ear, nose and throat speciality.
Project acronym AdOMiS
Project Adaptive Optical Microscopy Systems: Unifying theory, practice and applications
Researcher (PI) Martin BOOTH
Summary Recent technological advances in optical microscopy have vastly broadened the possibilities for applications in the biomedical sciences. Fluorescence microscopy is the central tool for investigation of molecular structures and dynamics that take place in the cellular and tissue environment. Coupled with progress in labeling methods, these microscopes permit observation of biological structures and processes with unprecedented sensitivity and resolution. This work has been enabled by the engineering development of diverse optical systems that provide different capabilities for the imaging toolkit. All such methods rely upon high fidelity optics to provide optimal resolution and efficiency, but they all suffer from aberrations caused by refractive index variations within the specimen. It is widely accepted that in many applications this fundamental problem prevents optimum operation and limits capability. Adaptive optics (AO) has been introduced to overcome these limitations by correcting aberrations and a range of demonstrations has shown clearly its potential. Indeed, it shows great promise to improve virtually all types of research or commercial microscopes, but significant challenges must still be met before AO can be widely implemented in routine imaging. Current advances are being made through development of bespoke AO solutions to individual imaging tasks. However, the diversity of microscopy methods means that individual solutions are often not translatable to other systems. This proposal is directed towards the creation of theoretical and practical frameworks that tie together AO concepts and provide a suite of scientific tools with broad application. This will be achieved through a systems approach that encompasses theoretical modelling, optical engineering and the requirements of biological applications. Additional outputs will include practical designs, operating protocols and software algorithms that will support next generation AO microscope systems.
Recent technological advances in optical microscopy have vastly broadened the possibilities for applications in the biomedical sciences. Fluorescence microscopy is the central tool for investigation of molecular structures and dynamics that take place in the cellular and tissue environment. Coupled with progress in labeling methods, these microscopes permit observation of biological structures and processes with unprecedented sensitivity and resolution. This work has been enabled by the engineering development of diverse optical systems that provide different capabilities for the imaging toolkit. All such methods rely upon high fidelity optics to provide optimal resolution and efficiency, but they all suffer from aberrations caused by refractive index variations within the specimen. It is widely accepted that in many applications this fundamental problem prevents optimum operation and limits capability. Adaptive optics (AO) has been introduced to overcome these limitations by correcting aberrations and a range of demonstrations has shown clearly its potential. Indeed, it shows great promise to improve virtually all types of research or commercial microscopes, but significant challenges must still be met before AO can be widely implemented in routine imaging. Current advances are being made through development of bespoke AO solutions to individual imaging tasks. However, the diversity of microscopy methods means that individual solutions are often not translatable to other systems. This proposal is directed towards the creation of theoretical and practical frameworks that tie together AO concepts and provide a suite of scientific tools with broad application. This will be achieved through a systems approach that encompasses theoretical modelling, optical engineering and the requirements of biological applications. Additional outputs will include practical designs, operating protocols and software algorithms that will support next generation AO microscope systems.
Project acronym ADSNeSP
Project Active and Driven Systems: Nonequilibrium Statistical Physics
Researcher (PI) Michael Elmhirst CATES
Summary Active Matter systems, such as self-propelled colloids, violate time-reversal symmetry by producing entropy locally, typically converting fuel into mechanical motion at the particle scale. Other driven systems instead produce entropy because of global forcing by external fields, or boundary conditions that impose macroscopic fluxes (such as the momentum flux across a fluid sheared between moving parallel walls). Nonequilibrium statistical physics (NeSP) is the basic toolbox for both classes of system. In recent years, much progress in NeSP has stemmed from bottom-up work on driven systems. This has provided a number of exactly solved benchmark models, and extended approximation techniques to address driven non-ergodic systems, such as sheared glasses. Meanwhile, work on fluctuation theorems and stochastic thermodynamics have created profound, model-independent insights into dynamics far from equilibrium. More recently, the field of Active Matter has moved forward rapidly, leaving in its wake a series of generic and profound NeSP questions that now need answers: When is time-reversal symmetry, broken at the microscale, restored by coarse-graining? If it is restored, is an effective thermodynamic description is possible? How different is an active system's behaviour from a globally forced one? ADSNeSP aims to distil from recent Active Matter research such fundamental questions; answer them first in the context of specific models and second in more general terms; and then, using the tools and insights gained, shed new light on longstanding problems in the wider class of driven systems. I believe these new tools and insights will be substantial, because local activity takes systems far from equilibrium in a conceptually distinct direction from most types of global driving. By focusing on general principles and on simple models of activity, I seek to create a new vantage point that can inform, and potentially transform, wider areas of statistical physics.
Active Matter systems, such as self-propelled colloids, violate time-reversal symmetry by producing entropy locally, typically converting fuel into mechanical motion at the particle scale. Other driven systems instead produce entropy because of global forcing by external fields, or boundary conditions that impose macroscopic fluxes (such as the momentum flux across a fluid sheared between moving parallel walls). Nonequilibrium statistical physics (NeSP) is the basic toolbox for both classes of system. In recent years, much progress in NeSP has stemmed from bottom-up work on driven systems. This has provided a number of exactly solved benchmark models, and extended approximation techniques to address driven non-ergodic systems, such as sheared glasses. Meanwhile, work on fluctuation theorems and stochastic thermodynamics have created profound, model-independent insights into dynamics far from equilibrium. More recently, the field of Active Matter has moved forward rapidly, leaving in its wake a series of generic and profound NeSP questions that now need answers: When is time-reversal symmetry, broken at the microscale, restored by coarse-graining? If it is restored, is an effective thermodynamic description is possible? How different is an active system's behaviour from a globally forced one? ADSNeSP aims to distil from recent Active Matter research such fundamental questions; answer them first in the context of specific models and second in more general terms; and then, using the tools and insights gained, shed new light on longstanding problems in the wider class of driven systems. I believe these new tools and insights will be substantial, because local activity takes systems far from equilibrium in a conceptually distinct direction from most types of global driving. By focusing on general principles and on simple models of activity, I seek to create a new vantage point that can inform, and potentially transform, wider areas of statistical physics.
Project acronym AGATM
Project A Global Anthropology of Transforming Marriage
Researcher (PI) Janet CARSTEN
Host Institution (HI) THE UNIVERSITY OF EDINBURGH
Call Details Advanced Grant (AdG), SH5, ERC-2015-AdG
Summary This research will create a new theoretical vision of the importance of marriage as an agent of transformation in human sociality. Marriage globally is undergoing profound change, provoking intense debate and anxiety. These concerns refract wider instabilities in political, economic, and familial institutions. They signal the critical role of marriage in bringing together - and separating - intimate, personal, and familial life with wider state institutions. But we have little up to date comparative research or general theory of how marriage changes or the long-term significance of such change. Paradoxically, social scientific and public discourse emphasise the conservative and normative aspects of marriage. This underlines the need for a new theoretical frame that takes account of cultural and historical specificity to grasp the importance of marriage as both vehicle of and engine for transformation. AGATM overturns conventional understandings by viewing marriage as inherently transformative, indeed at the heart of social and cultural change. The research will investigate current transformations of marriage in two distinct senses. First, it will undertake an ethnographic investigation of new forms of marriage in selected sites in Europe, N. America, Asia, and Africa. Second, it will subject 'marriage' to a rigorous theoretical critique that will denaturalise marriage and reintegrate it into the new anthropology of kinship. Research on five complementary and contrastive sub-projects examining emerging forms of marriage in different locations will be structured through the themes of care, property, and ritual forms. The overarching analytic of temporality will frame the theoretical vision of the research and connect the themes. The resulting six monographs, journal articles, and exhibition will together revitalise the study of kinship by placing the moral, practical, political, and imaginative significance of marriage over time at its centre.
This research will create a new theoretical vision of the importance of marriage as an agent of transformation in human sociality. Marriage globally is undergoing profound change, provoking intense debate and anxiety. These concerns refract wider instabilities in political, economic, and familial institutions. They signal the critical role of marriage in bringing together - and separating - intimate, personal, and familial life with wider state institutions. But we have little up to date comparative research or general theory of how marriage changes or the long-term significance of such change. Paradoxically, social scientific and public discourse emphasise the conservative and normative aspects of marriage. This underlines the need for a new theoretical frame that takes account of cultural and historical specificity to grasp the importance of marriage as both vehicle of and engine for transformation. AGATM overturns conventional understandings by viewing marriage as inherently transformative, indeed at the heart of social and cultural change. The research will investigate current transformations of marriage in two distinct senses. First, it will undertake an ethnographic investigation of new forms of marriage in selected sites in Europe, N. America, Asia, and Africa. Second, it will subject 'marriage' to a rigorous theoretical critique that will denaturalise marriage and reintegrate it into the new anthropology of kinship. Research on five complementary and contrastive sub-projects examining emerging forms of marriage in different locations will be structured through the themes of care, property, and ritual forms. The overarching analytic of temporality will frame the theoretical vision of the research and connect the themes. The resulting six monographs, journal articles, and exhibition will together revitalise the study of kinship by placing the moral, practical, political, and imaginative significance of marriage over time at its centre.
Project acronym AIDViC
Project Antibiotic intracellular delivery via virus-like carriers
Researcher (PI) Giuseppe BATTAGLIA
Summary Taking inspiration from natural carriers, such as viruses, a new technology has been developed in our laboratories part of an ongoing ERC starting grant project, Molecular Engineering of Virus-like Carriers (MEViC). We created synthetic viruses using polymers and thus safer materials. They are able of delivering high payload of specific drugs into cells with no detrimental effect. While testing for anticancer therapies, we identified a synthetic virus capable of targeting almost exclusively macrophages. We performed preliminary work showing that this can be successfully applied to deliver antibiotics to rid of intracellular pathogens. This has now open a completely new possibility whereas we can expand our technology for the treatment of several infections as well as to contribute to the ongoing efforts in tackling antibiotic resistance.
Taking inspiration from natural carriers, such as viruses, a new technology has been developed in our laboratories part of an ongoing ERC starting grant project, Molecular Engineering of Virus-like Carriers (MEViC). We created synthetic viruses using polymers and thus safer materials. They are able of delivering high payload of specific drugs into cells with no detrimental effect. While testing for anticancer therapies, we identified a synthetic virus capable of targeting almost exclusively macrophages. We performed preliminary work showing that this can be successfully applied to deliver antibiotics to rid of intracellular pathogens. This has now open a completely new possibility whereas we can expand our technology for the treatment of several infections as well as to contribute to the ongoing efforts in tackling antibiotic resistance.
Project acronym AlCat
Project Bond activation and catalysis with low-valent aluminium
Researcher (PI) Michael James COWLEY
Summary This project will develop the principles required to enable bond-modifying redox catalysis based on aluminium by preparing and studying new Al(I) compounds capable of reversible oxidative addition. Catalytic processes are involved in the synthesis of 75 % of all industrially produced chemicals, but most catalysts involved are based on precious metals such as rhodium, palladium or platinum. These metals are expensive and their supply limited and unstable; there is a significant need to develop the chemistry of non-precious metals as alternatives. On toxicity and abundance alone, aluminium is an attractive candidate. Furthermore, recent work, including in our group, has demonstrated that Al(I) compounds can perform a key step in catalytic cycles - the oxidative addition of E-H bonds. In order to realise the significant potential of Al(I) for transition-metal style catalysis we urgently need to: - establish the principles governing oxidative addition and reductive elimination reactivity in aluminium systems. - know how the reactivity of Al(I) compounds can be controlled by varying properties of ligand frameworks. - understand the onward reactivity of oxidative addition products of Al(I) to enable applications in catalysis. In this project we will: - Study mechanisms of oxidative addition and reductive elimination of a range of synthetically relevant bonds at Al(I) centres, establishing the principles governing this fundamental reactivity. - Develop new ligand frameworks to support of Al(I) centres and evaluate the effect of the ligand on oxidative addition/reductive elimination at Al centres. - Investigate methods for Al-mediated functionalisation of organic compounds by exploring the reactivity of E-H oxidative addition products with unsaturated organic compounds.
This project will develop the principles required to enable bond-modifying redox catalysis based on aluminium by preparing and studying new Al(I) compounds capable of reversible oxidative addition. Catalytic processes are involved in the synthesis of 75 % of all industrially produced chemicals, but most catalysts involved are based on precious metals such as rhodium, palladium or platinum. These metals are expensive and their supply limited and unstable; there is a significant need to develop the chemistry of non-precious metals as alternatives. On toxicity and abundance alone, aluminium is an attractive candidate. Furthermore, recent work, including in our group, has demonstrated that Al(I) compounds can perform a key step in catalytic cycles - the oxidative addition of E-H bonds. In order to realise the significant potential of Al(I) for transition-metal style catalysis we urgently need to: - establish the principles governing oxidative addition and reductive elimination reactivity in aluminium systems. - know how the reactivity of Al(I) compounds can be controlled by varying properties of ligand frameworks. - understand the onward reactivity of oxidative addition products of Al(I) to enable applications in catalysis. In this project we will: - Study mechanisms of oxidative addition and reductive elimination of a range of synthetically relevant bonds at Al(I) centres, establishing the principles governing this fundamental reactivity. - Develop new ligand frameworks to support of Al(I) centres and evaluate the effect of the ligand on oxidative addition/reductive elimination at Al centres. - Investigate methods for Al-mediated functionalisation of organic compounds by exploring the reactivity of E-H oxidative addition products with unsaturated organic compounds.
Project acronym ALEXANDRIA
Project Large-Scale Formal Proof for the Working Mathematician
Researcher (PI) Lawrence PAULSON
Summary Mathematical proofs have always been prone to error. Today, proofs can be hundreds of pages long and combine results from many specialisms, making them almost impossible to check. One solution is to deploy modern verification technology. Interactive theorem provers have demonstrated their potential as vehicles for formalising mathematics through achievements such as the verification of the Kepler Conjecture. Proofs done using such tools reach a high standard of correctness. However, existing theorem provers are unsuitable for mathematics. Their formal proofs are unreadable. They struggle to do simple tasks, such as evaluating limits. They lack much basic mathematics, and the material they do have is difficult to locate and apply. ALEXANDRIA will create a proof development environment attractive to working mathematicians, utilising the best technology available across computer science. Its focus will be the management and use of large-scale mathematical knowledge, both theorems and algorithms. The project will employ mathematicians to investigate the formalisation of mathematics in practice. Our already substantial formalised libraries will serve as the starting point. They will be extended and annotated to support sophisticated searches. Techniques will be borrowed from machine learning, information retrieval and natural language processing. Algorithms will be treated similarly: ALEXANDRIA will help users find and invoke the proof methods and algorithms appropriate for the task. ALEXANDRIA will provide (1) comprehensive formal mathematical libraries; (2) search within libraries, and the mining of libraries for proof patterns; (3) automated support for the construction of large formal proofs; (4) sound and practical computer algebra tools. ALEXANDRIA will be based on legible structured proofs. Formal proofs should be not mere code, but a machine-checkable form of communication between mathematicians.
Mathematical proofs have always been prone to error. Today, proofs can be hundreds of pages long and combine results from many specialisms, making them almost impossible to check. One solution is to deploy modern verification technology. Interactive theorem provers have demonstrated their potential as vehicles for formalising mathematics through achievements such as the verification of the Kepler Conjecture. Proofs done using such tools reach a high standard of correctness. However, existing theorem provers are unsuitable for mathematics. Their formal proofs are unreadable. They struggle to do simple tasks, such as evaluating limits. They lack much basic mathematics, and the material they do have is difficult to locate and apply. ALEXANDRIA will create a proof development environment attractive to working mathematicians, utilising the best technology available across computer science. Its focus will be the management and use of large-scale mathematical knowledge, both theorems and algorithms. The project will employ mathematicians to investigate the formalisation of mathematics in practice. Our already substantial formalised libraries will serve as the starting point. They will be extended and annotated to support sophisticated searches. Techniques will be borrowed from machine learning, information retrieval and natural language processing. Algorithms will be treated similarly: ALEXANDRIA will help users find and invoke the proof methods and algorithms appropriate for the task. ALEXANDRIA will provide (1) comprehensive formal mathematical libraries; (2) search within libraries, and the mining of libraries for proof patterns; (3) automated support for the construction of large formal proofs; (4) sound and practical computer algebra tools. ALEXANDRIA will be based on legible structured proofs. Formal proofs should be not mere code, but a machine-checkable form of communication between mathematicians.