I agree research takes way too long i keep getting message from weinstein to upgrade science building but i cant till certain research is done takes days.They should speed it up .
Your Shrine of Knowledge/Library uses a percentage of your resource production for research. So make sure you upgrade all your gardens etc. to the max - after all 25% of nothing is no more than 5% of nothing.
Also select your Economy of Science and Fisher perks when you upgrade your hero. That will vastly increase your science speed, too.
Finally, fight as many monsters as you can, and try to complete the Anomalies. You can find lots of science in monster drops (more when your Fisher perk is high), and there's vast amounts of science points to be found in the Anomalies.
If you follow these steps, most of your research shouldn't take longer than a day or two, and believe me, that can sometimes be faster than you want it, to keep up with building and upgrading all the new things you research!
ETA: Zweistein will keep telling you your research is too slow regardless of what you do. So just ignore him :)