Germanys science research would be dictated by the circumstances. A lot depends on the POD (would the peace come in January or December - big differences), but some are known.
1) Germany occupies huge areas populated by non-friendly natives. A lot of energy, manpower, money etc will be spent on hunting partisans, resistance cells, showing the flag, guarding Gauleiters and german officials.
2) The german educational system was in shambles. The Nazi distrust of education and above all, professors/intellectuals, combined with the military need had placed far more importance of weapon maintaince than reading books. This resulted in both a flight of intellectuals from Germany and a drastic lowering of basic science.
3) Hitler and the nazis were irrational and prefered big, showy things instead of "good enough".
Therefore I guess that german scientific advances would be fairly slow and conservative, aimed at quick improvements rather than new inventions. A lot of scientific work would be military applied (better batteries for submarines, jet engines, HEAT warheads) and political scientists would (as they did IOTL) try to kill other scientists projects by claiming them to be "jewish", "internationalist", "not supporting the Reich" or "not able to produce results within a year". Some scientists would be able to get a personal go-ahead from Hitler to produce land cruisers, death rays, detectors of Jewishness etc.
Just like the Soviet Union Nazi Germany may have the lead in some areas (rocketry), but altogether stand behind the US, UK etc - and fall behind all the time.