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An­ge­bot 281 von 509 vom 05.07.2017, 13:30

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Tech­ni­sche Uni­ver­sität Ber­lin - Fac­ulty II - Insti­tute of Math­em­at­ics

Research assist­ant - 0.75 work­ing time - salary grade 13 TV-L Ber­liner Hoch­schu­len

Work­ing field:

Work­ing in the Emmy Noe­ther rese­arch group „New Cer­ti­fic­ates of Non­neg­at­iv­ity and Their App­lic­a­tions in Sci­ence and Engin­eer­ing".
Decid­ing non­neg­at­iv­ity is a key prob­lem in real algeb­raic geo­metry with count­less app­lic­a­tions. The goal of the pro­ject is the invest­ig­a­tion and fur­ther devel­op­ment of non­neg­at­iv­itiy cer­ti­fic­ates based on sums of non­neg­at­ive cir­cuit poly­no­mi­als (SONCs). Next to the­or­et­ical ques­tions (e.g. struc­ture of the SONC cone, Pos­it­ivs­tel­len­sätze, max­imal medi­ated sets, rela­tion to amoe­bas) poten­tial app­lic­a­tions will also be invest­ig­ated, for example via exper­i­men­tal com­par­ison with cer­ti­fic­ates based on semi­def­in­ite pro­gram­ming. PhD the­sis pre­par­a­tion is pos­sible.

Require­ments:

  • Suc­cess­fully com­pleted uni­versity degree (Mas­ter, Dip­lom or equi­val­ent) in Math­em­at­ics (or sim­ilar); excel­lent grades desired
  • Know­ledge in at least one of the fol­low­ing sub­jects: real algeb­raic geo­metry, con­vex optim­iz­a­tion (e.g. SDP), imple­ment­a­tion of math­em­at­ical soft­ware, dis­crete geo­metry.
  • Know­ledge of the fol­low­ing sub­jects is a plus: SONCs, amoe­bas, geo­met­ric / rel­at­ive entropy pro­gram­ming, advanced pro­gram­ming skills.
Ger­man lan­guage skills are not required. Fur­ther inform­a­tion on this pos­i­tion can be obtained from Dr. Timo de Wolff (dewolff@math.tu-berlin.de).

How to ap­ply:

Please send your writ­ten applic­a­tion with the ref­er­ence num­ber and the usual doc­u­ments to Tech­nis­che Uni­versität Ber­lin - Der Präsid­ent - Fakultät II, Institut für Mathematik, Prof. Dr. Joswig, Sekr. MA 6-2, Straße des 17. Juni 136, 10623 Berlin or by e-mail to dewolff@math.tu-berlin.de.

To ensure equal oppor­tu­nit­ies bet­ween women and men, app­li­ca­ti­ons by women with the requi­red qua­li­fi­ca­ti­ons are expli­citly desi­red.
Qua­li­fied indi­vi­du­als with disa­bi­li­ties will be favo­red.

Please send cop­ies only. Ori­gi­nal docu­ments will not be retur­ned.