Complex sentence: The supervisor of her PhD thesis is University of Wollongong social sciences Professor Brian Martin, who claimed in a 2010 paper that researchers "had colluded to silence the theory that the AIDS virus was caused by contaminated polio vaccines in 1950s Africa".
Split into simpler sentences: The supervisor of her PhD thesis is University of Wollongong social sciences Professor Brian Martin. Martin had previously published research claiming that researchers "had colluded to silence the theory that the AIDS virus was caused by contaminated polio vaccines in 1950s Africa".