Prof. Florian Luca, \u2019n getal-teoretikus verbonde aan die Universiteit Stellenbosch (US) se departement wiskundige wetenskappe, is een van drie hoofnavorsers wat \u2019n Synergy Grant ter waarde van \u20ac7,5 miljoen (ongeveer R143,1 miljoen) van die Europese Navorsingsraad (ENR) ontvang het. <\/p>\n\n\n\n
Die ander twee hoofnavorsers is prof. Val\u00e9rie Berth\u00e9 van die Franse Institut de recherche en informatique fondamentale<\/span><\/em>by die Centre National de la Recherche Scientifique (CNRS) aan die University Paris Cit\u00e9, en prof. Jo\u00ebl Ouaknine, wetenskapsdirekteur van die Max Planck Instituut vir Sagtewarestelsels (MPI-SWS) in Saarbr\u00fccken, Duitsland.<\/p>\n\n\n\n Die ENR se Synergy Grants bevorder onderlinge samewerking tussen uitsonderlike navorsers, wat hulle in staat stel om hulle kundigheid, kennis en hulpbronne te kombineer ten einde die grense van wetenskaplike ontdekking te verskuif. Hierdie finansi\u00eble toekennings is deel van die navorsings- en innovasieprogram van die Europese Unie se Horizon Europe. <\/p>\n\n\n\n Die mededinging om hierdie geld is baie sterk en in die huidige finansieringsronde is slegs 57 van die 548 voorstelle wat ingedien is, goedgekeur.<\/p>\n\n\n\n Oor die volgende ses jaar sal hierdie multidissiplin\u00eare span uit die vakgebiede van getal-teorie en teoretiese rekenaarwetenskap \u2019n benadering van \u201cho\u00eb risiko, ho\u00eb winste\u201d volg om een van die hoofberekeningsuitdagings aan te pak wat deur sogenaamde \u201cdiskrete dinamiese stelsels\u201d verteenwoordig word \u2013 dit wil s\u00ea stelsels wat oor tyd volgens spesifieke re\u00ebls verander. <\/p>\n\n\n\n Volgens \u2019n mediaverklaring wat deur Max Planck Instituut uitgereik is, bly dit \u2019n groot uitdaging om algoritmiese oplossings te skep wat hierdie stelsels ontvanklik sal maak vir geoutomatiseerde verifikasietegnieke, veral in velde soos programanalise en rekenaargesteunde verifikasie tot kunsmatige intelligensie en teoretiese biologie.<\/p>\n\n\n\n \u201cDie paradigma van \u2018modelkontrole\u2019 is \u2019n kragtige metode wat ons in staat stel om outomaties, met wiskundige sekerheid, te verifieer of \u2019n stelsel optree soos die veronderstelling was,\u201d verduidelik Ouaknine. <\/p>\n\n\n\n Baie diskrete dinamiese stelsels kan egter nie tans geverifieer word met die beskikbare modelkontrolebenaderings nie. <\/p>\n\n\n\n Een van die hoofdoelwitte van die nuwe navorsingsprojek getiteld \u201cDynamical and Arithmetical Model Checking (DynAMiCs)\u201d is om die klasse van dinamiese stelsels en eienskappe wat algoritmies deur middel van modelkontrole hanteer kan word, aansienlik te verruim. Dit het ten doel om langdurige wiskundige uitdagings soos die Skolem-probleem aan te pak, wat kan lei tot deurbrake in die begrip en verifi\u00ebring van die gedrag van ander ingewikkelde stelsels. <\/p>\n\n\n\n Luca s\u00ea hul suksesvolle voorstel berus op \u2019n baie sterk navorsingsgrondslag. \u201cMy samewerking met Jo\u00ebl se span het laat in 2019 begin. Ek was destyds \u2019n besoeker aan die Max Planck Instituut vir wiskunde in Bonn en hy en sy span het van Saarbr\u00fccken af gekom op soek na wiskundiges wat sou belangstel om aan probleme op die gebied van teoretiese rekenaarwetenskap te werk.\u201d<\/p>\n\n\n\n Aangesien Luca reeds onder sy portuurgroep en kollegas as \u2019n \u201cprobleemoplosser\u201d bekend was, is die Saarbr\u00fccken-span aangeraai om met hom te vergader. \u201cSedert daardie eerste ontmoeting het ek jaarliks \u2019n paar maande by die Max Planck Instituut vir Sagtewarestelsels deurgebring om saam met Jo\u00ebl en sy span te werk. Teen hierdie tyd het ons reeds 15 navorsingsartikels gepubliseer waarin ons beduidende vordering met \u2019n paar moeilike probleme gemaak het. <\/p>\n\n\n\n \u201cDie idee om vir ENR-finansiering aansoek te doen, het in Mei verlede jaar gedurende \u2019n werksessie in Barbados ontstaan, waar Val\u00e9rie van die CNRS, Jo\u00ebl en ek almal teenwoordig was en ons het vir die volgende vyf maande aan die voorstel gewerk,\u201d verduidelik hy.<\/p>\n\n\n\n Dit het 11 maande en verskeie stappe gekos om di\u00e9 bedrag te verkry. Dit het ook \u2019n onderhoud van aangesig tot aangesig op Dinsdag 10 September by die ENR se hoofkantoor in Brussels ingesluit, waar hulle \u2019n projekaanbieding moes doen en vrae van \u2019n paneel met 20 spesialiste moes beantwoord. <\/p>\n\n\n\n Luca s\u00ea die meeste van die geld sal gebruik word om nadoktorale genote aan te stel en PhD-studente te help om hul projek te bevorder en by te dra tot die opleiding van \u2019n nuwe geslag navorsers. Die span beplan ook twee somerskole en verskeie seminare en werksessies.<\/p>\n\n\n\n Hoewel hy vir ses maande van die jaar by die Max Planck Instituut sal werk, sal sy navorsingsgroep hier by die US voltyds aan die projek werk. Daar sal ook geleenthede vir uitruilprogramme tussen die instellings en talle ander medewerkers wees. <\/p>\n\n\n\n Nagraadse studente wat belangstel om by hierdie projek aan te sluit, moet op die uitkyk wees vir die eerste advertensies wat in Desember en Januarie verskyn. Die projek neem in Maart 2025 amptelik in aanvang en Luca sal aan die einde van die eerste semester vir sy eerste ses maande lange skof by die Max Planck Instituut aansluit. <\/p>\n\n\n\n \u201cUit die aard van my unieke posisie dat ek saam met beide die Nasionale Navorsingstigting (via die US) kan saamwerk, \u00e9n \u2019n hoofnavorser kan wees in \u2019n span wat deur die ENR gefinansier word, hoop ek om \u2019n paar Suid-Afrikaanse studente en nadoktorale genote deel van die ENR se span te kan maak, \u00f3f om geleenthede te skep vir besoeke aan bogenoemde instellings of ander soortgelyke geleenthede,\u201d s\u00ea hy. <\/p>\n\n\n\n Prof. Ingrid Rewitzky, hoof van die US departement wiskundige wetenskappe en die fakulteit natuurwetenskappe se visedekaan vir leer en onderrig, het Luca met hierdie uitstekende prestasie gelukgewens. \u201cOns is opgewonde oor die geleenthede vir navorsers, nagraadse studente en nadoktorale genote om saam met hierdie inspirerende DynAMiCs-span te kan werk. As departement sien ons ook uit daarna om van die DynAMiCs-projekspanlede vir navorsingsbesoeke en samewerking te huisves en om gesamentlike navorsingswerksessies en -seminare aan te bied.\u201d<\/p>\n","protected":false},"excerpt":{"rendered":" Prof. Florian Luca, \u2019n getal-teoretikus verbonde aan die Universiteit Stellenbosch (US) se departement wiskundige wetenskappe, is een van drie hoofnavorsers wat \u2019n Synergy Grant ter waarde van \u20ac7,5 miljoen (ongeveer R143,1 miljoen) van die Europese 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