Anargyros Papageorgiou does research on high dimensional QRMC and LDS. He is Columbia University's principal researcher on improving FinDer and Low Discrepancy Sequences for high dimensional problems. FinDer is the system maintained by Columbia University for QRMC and LDS.
http://www1.cs.columbia.edu/~ap/index.html
See especially the papers:
http://www1.cs.columbia.edu/~ap/html/body_publications.html