Lodha presented this solution at the London Mathematical Society's Geometric and Cohomological Group Theory symposium in August 2013.
[5] Moore won the "Young Scholar's Competition" award in 2006, in Vienna, Austria.
[6] He was an invited speaker at the ICM, Hyderabad 2010, Logic session, where he presented his solution to the problem of constructing an L-space.
The L-space was constructed without assuming additional axioms and by combining Todorcevic's rho functions with number theory.
[7][8] Moore is an editor for the Archive of Mathematical Logic where he handles papers in set theory.