Every scientist thinks his or her contribution is the crucial one. Organize joint seminars to find a common ground for collaboration. Ask friendly laboratory scientists to verify your theoretical predictions. Remember, if grant money is involved, the principal investigator of a grant has ultimate control of how the money is spent. Don't allow your name to be added to an inferior paper as a goodwill gesture.
Every mathematician has only a few tricks.
Don't worry about your mistakes. Regularly read demanding scientific books outside your area of expertise. Be prepared to exit a field that is in decline. Develop a thick skin, but learn from your mistakes. Scientific ethics Never stoop to dishonesty.