Genital warts are caused by the infection due to Human Papilloma Virus, commonly called as HPV. It is spread from one person to another by having sexual intercourse. It can be spread through exchange of body fluids also. Sexual act involving mouth, anus, penis, vagina, breast etc. can transmit the virus from one person to another. Skin to skin contact can also result in a spreading of warts which can be shed off easily. But transmission virus by deeper sexual means like penis to anus penetration as in your case, penis to vagina penetration, penis to mouth penetration can cause infection of HPV which can stay dormant for years according to the physique and immunity of the affected person. In your case there is a very high chance of getting affected with the virus. Anyway, there is no medical support available till date to get HPV removed completely, once it is affected. As your boyfriend said, the genital warts in him may be inactive for years, but still, he has the virus in him and can spread it easily to sex partners. Even if he doesn’t have any visible warts, it doesn’t mean that he has got relieved from HPV infection, but the viral activity is in its dormant stage in him. Once spread to you, it need not be dormant in you. Also, please remember that condoms do not ensure 100% safety from sexual diseases and infections. To prevent HPV, ther are vaccines available. But vaccines are for certain types of infections only. Three injections of Gardasil once in six months will make you immune to HPV for 5 years. But it is not effective if you already have got HPV. Still there are some other strains of HPVs which are not covered by Gardasil, and those viruses can also create genital warts and related problems. My best wishes. Take care.