Project acronym 2DNANOCAPS
Project Next Generation of 2D-Nanomaterials: Enabling Supercapacitor Development
Researcher (PI) Valeria Nicolosi
Host Institution (HI) THE PROVOST, FELLOWS, FOUNDATION SCHOLARS & THE OTHER MEMBERS OF BOARD, OF THE COLLEGE OF THE HOLY & UNDIVIDED TRINITY OF QUEEN ELIZABETH NEAR DUBLIN
Country Ireland
Call Details Starting Grant (StG), PE8, ERC-2011-StG_20101014
Summary Climate change and the decreasing availability of fossil fuels require society to move towards sustainable and renewable resources. 2DNanoCaps will focus on electrochemical energy storage, specifically supercapacitors. In terms of performance supercapacitors fill up the gap between batteries and the classical capacitors. Whereas batteries possess a high energy density but low power density, supercapacitors possess high power density but low energy density. Efforts are currently dedicated to move supercapacitors towards high energy density and high power density performance. Improvements have been achieved in the last few years due to the use of new electrode nanomaterials and the design of new hybrid faradic/capacitive systems. We recognize, however, that we are reaching a newer limit beyond which we will only see small incremental improvements. The main reason for this being the intrinsic difficulty in handling and processing materials at the nano-scale and the lack of communication across different scientific disciplines. I plan to use a multidisciplinary approach, where novel nanomaterials, existing knowledge on nano-scale processing and established expertise in device fabrication and testing will be brought together to focus on creating more efficient supercapacitor technologies. 2DNanoCaps will exploit liquid phase exfoliated two-dimensional nanomaterials such as transition metal oxides, layered metal chalcogenides and graphene as electrode materials. Electrodes will be ultra-thin (capacitance and thickness of the electrodes are inversely proportional), conductive, with high dielectric constants. Intercalation of ions between the assembled 2D flakes will be also achievable, providing pseudo-capacitance. The research here proposed will be initially based on fundamental laboratory studies, recognising that this holds the key to achieving step-change in supercapacitors, but also includes scaling-up and hybridisation as final objectives.
Summary
Climate change and the decreasing availability of fossil fuels require society to move towards sustainable and renewable resources. 2DNanoCaps will focus on electrochemical energy storage, specifically supercapacitors. In terms of performance supercapacitors fill up the gap between batteries and the classical capacitors. Whereas batteries possess a high energy density but low power density, supercapacitors possess high power density but low energy density. Efforts are currently dedicated to move supercapacitors towards high energy density and high power density performance. Improvements have been achieved in the last few years due to the use of new electrode nanomaterials and the design of new hybrid faradic/capacitive systems. We recognize, however, that we are reaching a newer limit beyond which we will only see small incremental improvements. The main reason for this being the intrinsic difficulty in handling and processing materials at the nano-scale and the lack of communication across different scientific disciplines. I plan to use a multidisciplinary approach, where novel nanomaterials, existing knowledge on nano-scale processing and established expertise in device fabrication and testing will be brought together to focus on creating more efficient supercapacitor technologies. 2DNanoCaps will exploit liquid phase exfoliated two-dimensional nanomaterials such as transition metal oxides, layered metal chalcogenides and graphene as electrode materials. Electrodes will be ultra-thin (capacitance and thickness of the electrodes are inversely proportional), conductive, with high dielectric constants. Intercalation of ions between the assembled 2D flakes will be also achievable, providing pseudo-capacitance. The research here proposed will be initially based on fundamental laboratory studies, recognising that this holds the key to achieving step-change in supercapacitors, but also includes scaling-up and hybridisation as final objectives.
Max ERC Funding
1 501 296 €
Duration
Start date: 2011-10-01, End date: 2016-09-30
Project acronym ADNABIOARC
Project From the earliest modern humans to the onset of farming (45,000-4,500 BP): the role of climate, life-style, health, migration and selection in shaping European population history
Researcher (PI) Ron Pinhasi
Host Institution (HI) UNIVERSITY COLLEGE DUBLIN, NATIONAL UNIVERSITY OF IRELAND, DUBLIN
Country Ireland
Call Details Starting Grant (StG), SH6, ERC-2010-StG_20091209
Summary The colonisation of Europe by anatomically modern humans (AMHs) ca. 45,000 years before present (BP) and the transition to farming ca. 8,000 BP are two major events in human prehistory. Both events involved certain cultural and biological adaptations, technological innovations, and behavioural plasticity which are unique to our species. The reconstruction of these processes and the causality between them has so far remained elusive due to technological, methodological and logistical complexities. Major developments in our understanding of the anthropology of the Upper Palaeolithic, Mesolithic and Neolithic, and advances in ancient DNA (aDNA) technology and chronometric methods now allow us to assess in sufficient resolution the interface between these evolutionary processes, and changes in human culture and behaviour.
The proposed research will investigate the complex interface between the morphological, genetic, behavioural, and cultural factors that shaped the population history of European AMHs. The PI s interdisciplinary expertise in these areas, his access to and experience of relevant skeletal collections, and his ongoing European collaborations will allow significant progress in addressing these fundamental questions. The approach taken will include (a) the collection of bioarchaeological, aDNA, stable isotope (for the analysis of ancient diet) and radiometric data on 500 skeletons from key sites/phases in Europe and western Anatolia, and (b) the application of existing and novel aDNA, bioarchaeological and simulation methodologies. This research will yield results that transform our current understanding of major demographic and evolutionary processes and will place Europe at the forefront of anthropological biological and genetic research.
Summary
The colonisation of Europe by anatomically modern humans (AMHs) ca. 45,000 years before present (BP) and the transition to farming ca. 8,000 BP are two major events in human prehistory. Both events involved certain cultural and biological adaptations, technological innovations, and behavioural plasticity which are unique to our species. The reconstruction of these processes and the causality between them has so far remained elusive due to technological, methodological and logistical complexities. Major developments in our understanding of the anthropology of the Upper Palaeolithic, Mesolithic and Neolithic, and advances in ancient DNA (aDNA) technology and chronometric methods now allow us to assess in sufficient resolution the interface between these evolutionary processes, and changes in human culture and behaviour.
The proposed research will investigate the complex interface between the morphological, genetic, behavioural, and cultural factors that shaped the population history of European AMHs. The PI s interdisciplinary expertise in these areas, his access to and experience of relevant skeletal collections, and his ongoing European collaborations will allow significant progress in addressing these fundamental questions. The approach taken will include (a) the collection of bioarchaeological, aDNA, stable isotope (for the analysis of ancient diet) and radiometric data on 500 skeletons from key sites/phases in Europe and western Anatolia, and (b) the application of existing and novel aDNA, bioarchaeological and simulation methodologies. This research will yield results that transform our current understanding of major demographic and evolutionary processes and will place Europe at the forefront of anthropological biological and genetic research.
Max ERC Funding
1 088 386 €
Duration
Start date: 2011-01-01, End date: 2015-12-31
Project acronym AFFIRM
Project Analysis of Biofilm Mediated Fouling of Nanofiltration Membranes
Researcher (PI) Eoin Casey
Host Institution (HI) UNIVERSITY COLLEGE DUBLIN, NATIONAL UNIVERSITY OF IRELAND, DUBLIN
Country Ireland
Call Details Starting Grant (StG), PE8, ERC-2011-StG_20101014
Summary 1.2 billion people worldwide lack access to safe drinking water. Drinking water quality is threatened by newly emerging organic micro-pollutants (pesticides, pharmaceuticals, industrial chemicals) in source waters. Nanofiltration is a technology that is expected to play a key role in future water treatment processes due to its effectiveness in removal of micropollutants. However, the loss of membrane flux due to fouling is one of the main impediments in the development of membrane processes for use in drinking water treatment. Currently there is a wholly inadequate mechanistic understanding of the role of biofilm on the fouling of nanofiltration membranes.
Applying techniques including confocal microscopy, force spectroscopy, and infrared spectroscopy using an experimental programme informed by a technique known as scale-down together with mathematical modelling, it is confidently expected that significant advances will be gained in the mechanistic understanding of nanofiltration biofouling.
The specific objectives are 1. How is the rate of formation and extent of such biofilms influenced by the biological response to the local microenvironment? 2 Elucidate the effect of extracellular polysaccharide substances on physical properties, composition and structure of these biofilms. 3: Investigate mechanisms to enhance biofilm removal by a physical detachment process complemented by techniques that alter biofilm material properties.
A more fundamental insight into the mechanisms of nanofiltration operation will help in further development of this treatment method in future water treatment processes.
Summary
1.2 billion people worldwide lack access to safe drinking water. Drinking water quality is threatened by newly emerging organic micro-pollutants (pesticides, pharmaceuticals, industrial chemicals) in source waters. Nanofiltration is a technology that is expected to play a key role in future water treatment processes due to its effectiveness in removal of micropollutants. However, the loss of membrane flux due to fouling is one of the main impediments in the development of membrane processes for use in drinking water treatment. Currently there is a wholly inadequate mechanistic understanding of the role of biofilm on the fouling of nanofiltration membranes.
Applying techniques including confocal microscopy, force spectroscopy, and infrared spectroscopy using an experimental programme informed by a technique known as scale-down together with mathematical modelling, it is confidently expected that significant advances will be gained in the mechanistic understanding of nanofiltration biofouling.
The specific objectives are 1. How is the rate of formation and extent of such biofilms influenced by the biological response to the local microenvironment? 2 Elucidate the effect of extracellular polysaccharide substances on physical properties, composition and structure of these biofilms. 3: Investigate mechanisms to enhance biofilm removal by a physical detachment process complemented by techniques that alter biofilm material properties.
A more fundamental insight into the mechanisms of nanofiltration operation will help in further development of this treatment method in future water treatment processes.
Max ERC Funding
1 468 987 €
Duration
Start date: 2011-10-01, End date: 2016-09-30
Project acronym Age Asymmetry
Project Age-Selective Segregation of Organelles
Researcher (PI) Pekka Aleksi Katajisto
Host Institution (HI) HELSINGIN YLIOPISTO
Country Finland
Call Details Starting Grant (StG), LS3, ERC-2015-STG
Summary Our tissues are constantly renewed by stem cells. Over time, stem cells accumulate cellular damage that will compromise renewal and results in aging. As stem cells can divide asymmetrically, segregation of harmful factors to the differentiating daughter cell could be one possible mechanism for slowing damage accumulation in the stem cell. However, current evidence for such mechanisms comes mainly from analogous findings in yeast, and studies have concentrated only on few types of cellular damage.
I hypothesize that the chronological age of a subcellular component is a proxy for all the damage it has sustained. In order to secure regeneration, mammalian stem cells may therefore specifically sort old cellular material asymmetrically. To study this, I have developed a novel strategy and tools to address the age-selective segregation of any protein in stem cell division. Using this approach, I have already discovered that stem-like cells of the human mammary epithelium indeed apportion chronologically old mitochondria asymmetrically in cell division, and enrich old mitochondria to the differentiating daughter cell. We will investigate the mechanisms underlying this novel phenomenon, and its relevance for mammalian aging.
We will first identify how old and young mitochondria differ, and how stem cells recognize them to facilitate the asymmetric segregation. Next, we will analyze the extent of asymmetric age-selective segregation by targeting several other subcellular compartments in a stem cell division. Finally, we will determine whether the discovered age-selective segregation is a general property of stem cell in vivo, and it's functional relevance for maintenance of stem cells and tissue regeneration. Our discoveries may open new possibilities to target aging associated functional decline by induction of asymmetric age-selective organelle segregation.
Summary
Our tissues are constantly renewed by stem cells. Over time, stem cells accumulate cellular damage that will compromise renewal and results in aging. As stem cells can divide asymmetrically, segregation of harmful factors to the differentiating daughter cell could be one possible mechanism for slowing damage accumulation in the stem cell. However, current evidence for such mechanisms comes mainly from analogous findings in yeast, and studies have concentrated only on few types of cellular damage.
I hypothesize that the chronological age of a subcellular component is a proxy for all the damage it has sustained. In order to secure regeneration, mammalian stem cells may therefore specifically sort old cellular material asymmetrically. To study this, I have developed a novel strategy and tools to address the age-selective segregation of any protein in stem cell division. Using this approach, I have already discovered that stem-like cells of the human mammary epithelium indeed apportion chronologically old mitochondria asymmetrically in cell division, and enrich old mitochondria to the differentiating daughter cell. We will investigate the mechanisms underlying this novel phenomenon, and its relevance for mammalian aging.
We will first identify how old and young mitochondria differ, and how stem cells recognize them to facilitate the asymmetric segregation. Next, we will analyze the extent of asymmetric age-selective segregation by targeting several other subcellular compartments in a stem cell division. Finally, we will determine whether the discovered age-selective segregation is a general property of stem cell in vivo, and it's functional relevance for maintenance of stem cells and tissue regeneration. Our discoveries may open new possibilities to target aging associated functional decline by induction of asymmetric age-selective organelle segregation.
Max ERC Funding
1 500 000 €
Duration
Start date: 2016-05-01, End date: 2021-04-30
Project acronym AGELESS
Project Comparative genomics / ‘wildlife’ transcriptomics uncovers the mechanisms of halted ageing in mammals
Researcher (PI) Emma Teeling
Host Institution (HI) UNIVERSITY COLLEGE DUBLIN, NATIONAL UNIVERSITY OF IRELAND, DUBLIN
Country Ireland
Call Details Starting Grant (StG), LS2, ERC-2012-StG_20111109
Summary "Ageing is the gradual and irreversible breakdown of living systems associated with the advancement of time, which leads to an increase in vulnerability and eventual mortality. Despite recent advances in ageing research, the intrinsic complexity of the ageing process has prevented a full understanding of this process, therefore, ageing remains a grand challenge in contemporary biology. In AGELESS, we will tackle this challenge by uncovering the molecular mechanisms of halted ageing in a unique model system, the bats. Bats are the longest-lived mammals relative to their body size, and defy the ‘rate-of-living’ theories as they use twice as much the energy as other species of considerable size, but live far longer. This suggests that bats have some underlying mechanisms that may explain their exceptional longevity. In AGELESS, we will identify the molecular mechanisms that enable mammals to achieve extraordinary longevity, using state-of-the-art comparative genomic methodologies focused on bats. We will identify, using population transcriptomics and telomere/mtDNA genomics, the molecular changes that occur in an ageing wild population of bats to uncover how bats ‘age’ so slowly compared with other mammals. In silico whole genome analyses, field based ageing transcriptomic data, mtDNA and telomeric studies will be integrated and analysed using a networks approach, to ascertain how these systems interact to halt ageing. For the first time, we will be able to utilize the diversity seen within nature to identify key molecular targets and regions that regulate and control ageing in mammals. AGELESS will provide a deeper understanding of the causal mechanisms of ageing, potentially uncovering the crucial molecular pathways that can be modified to halt, alleviate and perhaps even reverse this process in man."
Summary
"Ageing is the gradual and irreversible breakdown of living systems associated with the advancement of time, which leads to an increase in vulnerability and eventual mortality. Despite recent advances in ageing research, the intrinsic complexity of the ageing process has prevented a full understanding of this process, therefore, ageing remains a grand challenge in contemporary biology. In AGELESS, we will tackle this challenge by uncovering the molecular mechanisms of halted ageing in a unique model system, the bats. Bats are the longest-lived mammals relative to their body size, and defy the ‘rate-of-living’ theories as they use twice as much the energy as other species of considerable size, but live far longer. This suggests that bats have some underlying mechanisms that may explain their exceptional longevity. In AGELESS, we will identify the molecular mechanisms that enable mammals to achieve extraordinary longevity, using state-of-the-art comparative genomic methodologies focused on bats. We will identify, using population transcriptomics and telomere/mtDNA genomics, the molecular changes that occur in an ageing wild population of bats to uncover how bats ‘age’ so slowly compared with other mammals. In silico whole genome analyses, field based ageing transcriptomic data, mtDNA and telomeric studies will be integrated and analysed using a networks approach, to ascertain how these systems interact to halt ageing. For the first time, we will be able to utilize the diversity seen within nature to identify key molecular targets and regions that regulate and control ageing in mammals. AGELESS will provide a deeper understanding of the causal mechanisms of ageing, potentially uncovering the crucial molecular pathways that can be modified to halt, alleviate and perhaps even reverse this process in man."
Max ERC Funding
1 499 768 €
Duration
Start date: 2013-01-01, End date: 2017-12-31
Project acronym AI-DEMON
Project Artificial intelligence design of molecular nano-magnets and molecular qubits
Researcher (PI) Alessandro LUNGHI
Host Institution (HI) THE PROVOST, FELLOWS, FOUNDATION SCHOLARS & THE OTHER MEMBERS OF BOARD, OF THE COLLEGE OF THE HOLY & UNDIVIDED TRINITY OF QUEEN ELIZABETH NEAR DUBLIN
Country Ireland
Call Details Starting Grant (StG), PE4, ERC-2020-STG
Summary As technologies based on semiconductors and ferromagnets are reaching their limits in computational and memory-storage capabilities, new technologies based on spin are emerging as alternative. Magnetic molecules represent the ultimate small-scale magnetic unit that can be synthesized and processed into a device for spintronics and quantum computing applications but their use is confined to very low temperatures. The grand challenge of this proposal is to design magnetic molecules with long spin lifetime at ambient temperature by tuning the main microscopic interaction responsible for spin relaxation: the spin-phonon coupling. AI-DEMON will address this challenge by developing a novel first-principles and machine-learning computational framework able to cover all the essential aspects of the design of new coordination compounds with tailored properties. AI-DEMON has three main objectives, each one representing a major contribution to the field: i) I will unveil the mechanism of spin-phonon relaxation in magnetic molecules by developing a quantitative first-principles spin relaxation theory, ii) I will efficiently explore the chemical space of magnetic coordination compounds by developing a universal machine-learning model able to predict vibrational and magnetic properties, and iii) I will design molecular prototypes with tailored magnetic and vibrational properties by developing generative machine-learning methods. Preliminary results on spin relaxation theory and machine-learning applied to magnetic properties show great promise and set the cornerstone of the project. The use of novel methodologies, such as machine learning and first-principles spin dynamics, represent a strong disruption in the current approach to theoretical modelling and discovery of new magnetic molecules and will propel the field into a new and modern era. Significant impact beyond the field of molecular magnetism, e.g. bio-inorganic chemistry and solid-state qubits, can also be anticipated.
Summary
As technologies based on semiconductors and ferromagnets are reaching their limits in computational and memory-storage capabilities, new technologies based on spin are emerging as alternative. Magnetic molecules represent the ultimate small-scale magnetic unit that can be synthesized and processed into a device for spintronics and quantum computing applications but their use is confined to very low temperatures. The grand challenge of this proposal is to design magnetic molecules with long spin lifetime at ambient temperature by tuning the main microscopic interaction responsible for spin relaxation: the spin-phonon coupling. AI-DEMON will address this challenge by developing a novel first-principles and machine-learning computational framework able to cover all the essential aspects of the design of new coordination compounds with tailored properties. AI-DEMON has three main objectives, each one representing a major contribution to the field: i) I will unveil the mechanism of spin-phonon relaxation in magnetic molecules by developing a quantitative first-principles spin relaxation theory, ii) I will efficiently explore the chemical space of magnetic coordination compounds by developing a universal machine-learning model able to predict vibrational and magnetic properties, and iii) I will design molecular prototypes with tailored magnetic and vibrational properties by developing generative machine-learning methods. Preliminary results on spin relaxation theory and machine-learning applied to magnetic properties show great promise and set the cornerstone of the project. The use of novel methodologies, such as machine learning and first-principles spin dynamics, represent a strong disruption in the current approach to theoretical modelling and discovery of new magnetic molecules and will propel the field into a new and modern era. Significant impact beyond the field of molecular magnetism, e.g. bio-inorganic chemistry and solid-state qubits, can also be anticipated.
Max ERC Funding
1 499 786 €
Duration
Start date: 2021-01-01, End date: 2025-12-31
Project acronym ALGOCom
Project Novel Algorithmic Techniques through the Lens of Combinatorics
Researcher (PI) Parinya Chalermsook
Host Institution (HI) AALTO KORKEAKOULUSAATIO SR
Country Finland
Call Details Starting Grant (StG), PE6, ERC-2017-STG
Summary Real-world optimization problems pose major challenges to algorithmic research. For instance, (i) many important problems are believed to be intractable (i.e. NP-hard) and (ii) with the growth of data size, modern applications often require a decision making under {\em incomplete and dynamically changing input data}. After several decades of research, central problems in these domains have remained poorly understood (e.g. Is there an asymptotically most efficient binary search trees?) Existing algorithmic techniques either reach their limitation or are inherently tailored to special cases.
This project attempts to untangle this gap in the state of the art and seeks new interplay across multiple areas of algorithms, such as approximation algorithms, online algorithms, fixed-parameter tractable (FPT) algorithms, exponential time algorithms, and data structures. We propose new directions from the {\em structural perspectives} that connect the aforementioned algorithmic problems to basic questions in combinatorics.
Our approaches fall into one of the three broad schemes: (i) new structural theory, (ii) intermediate problems, and (iii) transfer of techniques. These directions partially build on the PI's successes in resolving more than ten classical problems in this context.
Resolving the proposed problems will likely revolutionize our understanding about algorithms and data structures and potentially unify techniques in multiple algorithmic regimes. Any progress is, in fact, already a significant contribution to the algorithms community. We suggest concrete intermediate goals that are of independent interest and have lower risks, so they are suitable for Ph.D students.
Summary
Real-world optimization problems pose major challenges to algorithmic research. For instance, (i) many important problems are believed to be intractable (i.e. NP-hard) and (ii) with the growth of data size, modern applications often require a decision making under {\em incomplete and dynamically changing input data}. After several decades of research, central problems in these domains have remained poorly understood (e.g. Is there an asymptotically most efficient binary search trees?) Existing algorithmic techniques either reach their limitation or are inherently tailored to special cases.
This project attempts to untangle this gap in the state of the art and seeks new interplay across multiple areas of algorithms, such as approximation algorithms, online algorithms, fixed-parameter tractable (FPT) algorithms, exponential time algorithms, and data structures. We propose new directions from the {\em structural perspectives} that connect the aforementioned algorithmic problems to basic questions in combinatorics.
Our approaches fall into one of the three broad schemes: (i) new structural theory, (ii) intermediate problems, and (iii) transfer of techniques. These directions partially build on the PI's successes in resolving more than ten classical problems in this context.
Resolving the proposed problems will likely revolutionize our understanding about algorithms and data structures and potentially unify techniques in multiple algorithmic regimes. Any progress is, in fact, already a significant contribution to the algorithms community. We suggest concrete intermediate goals that are of independent interest and have lower risks, so they are suitable for Ph.D students.
Max ERC Funding
1 411 258 €
Duration
Start date: 2018-02-01, End date: 2024-01-31
Project acronym ANPROB
Project Analytic-probabilistic methods for borderline singular integrals
Researcher (PI) Tuomas Pentinpoika Hytoenen
Host Institution (HI) HELSINGIN YLIOPISTO
Country Finland
Call Details Starting Grant (StG), PE1, ERC-2011-StG_20101014
Summary The proposal consists of an extensive research program to advance the understanding of singular integral operators of Harmonic Analysis in various situations on the borderline of the existing theory. This is to be achieved by a creative combination of techniques from Analysis and Probability. On top of the standard arsenal of modern Harmonic Analysis, the main probabilistic tools are the martingale transform inequalities of Burkholder, and random geometric constructions in the spirit of the random dyadic cubes introduced to Nonhomogeneous Analysis by Nazarov, Treil and Volberg.
The problems to be addressed fall under the following subtitles, with many interconnections and overlap: (i) sharp weighted inequalities; (ii) nonhomogeneous singular integrals on metric spaces; (iii) local Tb theorems with borderline assumptions; (iv) functional calculus of rough differential operators; and (v) vector-valued singular integrals.
Topic (i) is a part of Classical Analysis, where new methods have led to substantial recent progress, culminating in my solution in July 2010 of a celebrated problem on the linear dependence of the weighted operator norm on the Muckenhoupt norm of the weight. The proof should be extendible to several related questions, and the aim is to also address some outstanding open problems in the area.
Topics (ii) and (v) deal with extensions of the theory of singular integrals to functions with more general domain and range spaces, allowing them to be abstract metric and Banach spaces, respectively. In case (ii), I have recently been able to relax the requirements on the space compared to the established theories, opening a new research direction here. Topics (iii) and (iv) are concerned with weakening the assumptions on singular integrals in the usual Euclidean space, to allow certain applications in the theory of Partial Differential Equations. The goal is to maintain a close contact and exchange of ideas between such abstract and concrete questions.
Summary
The proposal consists of an extensive research program to advance the understanding of singular integral operators of Harmonic Analysis in various situations on the borderline of the existing theory. This is to be achieved by a creative combination of techniques from Analysis and Probability. On top of the standard arsenal of modern Harmonic Analysis, the main probabilistic tools are the martingale transform inequalities of Burkholder, and random geometric constructions in the spirit of the random dyadic cubes introduced to Nonhomogeneous Analysis by Nazarov, Treil and Volberg.
The problems to be addressed fall under the following subtitles, with many interconnections and overlap: (i) sharp weighted inequalities; (ii) nonhomogeneous singular integrals on metric spaces; (iii) local Tb theorems with borderline assumptions; (iv) functional calculus of rough differential operators; and (v) vector-valued singular integrals.
Topic (i) is a part of Classical Analysis, where new methods have led to substantial recent progress, culminating in my solution in July 2010 of a celebrated problem on the linear dependence of the weighted operator norm on the Muckenhoupt norm of the weight. The proof should be extendible to several related questions, and the aim is to also address some outstanding open problems in the area.
Topics (ii) and (v) deal with extensions of the theory of singular integrals to functions with more general domain and range spaces, allowing them to be abstract metric and Banach spaces, respectively. In case (ii), I have recently been able to relax the requirements on the space compared to the established theories, opening a new research direction here. Topics (iii) and (iv) are concerned with weakening the assumptions on singular integrals in the usual Euclidean space, to allow certain applications in the theory of Partial Differential Equations. The goal is to maintain a close contact and exchange of ideas between such abstract and concrete questions.
Max ERC Funding
1 100 000 €
Duration
Start date: 2011-11-01, End date: 2016-10-31
Project acronym APCG
Project Arabic Poetry in the Cairo Genizah
Researcher (PI) Mohamed Ali Hussein Ahmed
Host Institution (HI) THE PROVOST, FELLOWS, FOUNDATION SCHOLARS & THE OTHER MEMBERS OF BOARD, OF THE COLLEGE OF THE HOLY & UNDIVIDED TRINITY OF QUEEN ELIZABETH NEAR DUBLIN
Country Ireland
Call Details Starting Grant (StG), SH5, ERC-2019-STG
Summary Poetry enjoys a special place in Arabic culture and literature. For centuries, Arabs of all faiths have considered poetry a key source for knowledge, intellectuality and wisdom. In the pre-Islamic era, poetry was considered as ‘the Arab knowledge’ and ‘the Arab cultural archive’, in which the social and cultural history, language, arts, music, religious and Arab’s human experience were stored and preserved. Being a part of Arabic culture, Jews of Arab lands equally enjoyed writing and reading poetry. APCG will investigate for the first time a hitherto neglected collection of Arabic poetry fragments written in Hebrew script (in Judaeo-Arabic), which has been preserved in arguably the most important Jewish treasure trove: the Cairo Genizah. The fragments, numbered in the hundreds, constitute a unique source for understanding medieval and Early Modern Egypt from three main perspectives: Arabic studies, Jewish social and cultural studies, and anthropological studies.
The core aims of the project are:
• to make the entirety of Arabic and Judaeo-Arabic poetry in the Cairo Genizah accessible to both academic scholars and to the public in a comprehensive database and in critical editions;
• to reveal, through the study of poetry, hitherto hidden aspects of social and cultural history of the Jews in the Middle East with regard to literacy, education and intercommunal relations;
• to explore hierarchies, interpersonal relationships and the social function of poetry in medieval and early modern Egypt through the study of Genizah poetry.
To achieve the planned main objectives, APCG carries out a thorough interdisciplinary study of Genizah’s Arabic poetry. This approach involves research from philological, linguistic, literary, historical and anthropological perspectives.
Summary
Poetry enjoys a special place in Arabic culture and literature. For centuries, Arabs of all faiths have considered poetry a key source for knowledge, intellectuality and wisdom. In the pre-Islamic era, poetry was considered as ‘the Arab knowledge’ and ‘the Arab cultural archive’, in which the social and cultural history, language, arts, music, religious and Arab’s human experience were stored and preserved. Being a part of Arabic culture, Jews of Arab lands equally enjoyed writing and reading poetry. APCG will investigate for the first time a hitherto neglected collection of Arabic poetry fragments written in Hebrew script (in Judaeo-Arabic), which has been preserved in arguably the most important Jewish treasure trove: the Cairo Genizah. The fragments, numbered in the hundreds, constitute a unique source for understanding medieval and Early Modern Egypt from three main perspectives: Arabic studies, Jewish social and cultural studies, and anthropological studies.
The core aims of the project are:
• to make the entirety of Arabic and Judaeo-Arabic poetry in the Cairo Genizah accessible to both academic scholars and to the public in a comprehensive database and in critical editions;
• to reveal, through the study of poetry, hitherto hidden aspects of social and cultural history of the Jews in the Middle East with regard to literacy, education and intercommunal relations;
• to explore hierarchies, interpersonal relationships and the social function of poetry in medieval and early modern Egypt through the study of Genizah poetry.
To achieve the planned main objectives, APCG carries out a thorough interdisciplinary study of Genizah’s Arabic poetry. This approach involves research from philological, linguistic, literary, historical and anthropological perspectives.
Max ERC Funding
1 456 246 €
Duration
Start date: 2020-07-01, End date: 2025-06-30
Project acronym aQUARiUM
Project QUAntum nanophotonics in Rolled-Up Metamaterials
Researcher (PI) Humeyra CAGLAYAN
Host Institution (HI) TAMPEREEN KORKEAKOULUSAATIO SR
Country Finland
Call Details Starting Grant (StG), PE7, ERC-2018-STG
Summary Novel sophisticated technologies that exploit the laws of quantum physics form a cornerstone for the future well-being, economic growth and security of Europe. Here photonic devices have gained a prominent position because the absorption, emission, propagation or storage of a photon is a process that can be harnessed at a fundamental level and render more practical ways to use light for such applications. However, the interaction of light with single quantum systems under ambient conditions is typically very weak and difficult to control. Furthermore, there are quantum phenomena occurring in matter at nanometer length scales that are currently not well understood. These deficiencies have a direct and severe impact on creating a bridge between quantum physics and photonic device technologies. aQUARiUM, precisely address the issue of controlling and enhancing the interaction between few photons and rolled-up nanostructures with ability to be deployed in practical applications.
With aQUARiUM, we will take epsilon (permittivity)-near-zero (ENZ) metamaterials into quantum nanophotonics. To this end, we will integrate quantum emitters with rolled-up waveguides, that act as ENZ metamaterial, to expand and redefine the range of light-matter interactions. We will explore the electromagnetic design freedom enabled by the extended modes of ENZ medium, which “stretches” the effective wavelength inside the structure. Specifically, aQUARiUM is built around the following two objectives: (i) Enhancing light-matter interactions with single emitters (Enhance) independent of emitter position. (ii) Enabling collective excitations in dense emitter ensembles (Collect) coherently connect emitters on nanophotonic devices to obtain coherent emission.
aQUARiUM aims to create novel light-sources and long-term entanglement generation and beyond. The envisioned outcome of aQUARiUM is a wholly new photonic platform applicable across a diverse range of areas.
Summary
Novel sophisticated technologies that exploit the laws of quantum physics form a cornerstone for the future well-being, economic growth and security of Europe. Here photonic devices have gained a prominent position because the absorption, emission, propagation or storage of a photon is a process that can be harnessed at a fundamental level and render more practical ways to use light for such applications. However, the interaction of light with single quantum systems under ambient conditions is typically very weak and difficult to control. Furthermore, there are quantum phenomena occurring in matter at nanometer length scales that are currently not well understood. These deficiencies have a direct and severe impact on creating a bridge between quantum physics and photonic device technologies. aQUARiUM, precisely address the issue of controlling and enhancing the interaction between few photons and rolled-up nanostructures with ability to be deployed in practical applications.
With aQUARiUM, we will take epsilon (permittivity)-near-zero (ENZ) metamaterials into quantum nanophotonics. To this end, we will integrate quantum emitters with rolled-up waveguides, that act as ENZ metamaterial, to expand and redefine the range of light-matter interactions. We will explore the electromagnetic design freedom enabled by the extended modes of ENZ medium, which “stretches” the effective wavelength inside the structure. Specifically, aQUARiUM is built around the following two objectives: (i) Enhancing light-matter interactions with single emitters (Enhance) independent of emitter position. (ii) Enabling collective excitations in dense emitter ensembles (Collect) coherently connect emitters on nanophotonic devices to obtain coherent emission.
aQUARiUM aims to create novel light-sources and long-term entanglement generation and beyond. The envisioned outcome of aQUARiUM is a wholly new photonic platform applicable across a diverse range of areas.
Max ERC Funding
1 499 431 €
Duration
Start date: 2019-01-01, End date: 2023-12-31