  We review the prospects of probing $R$-parity violating Supersymmetry (RPV
SUSY) at neutrino telescopes using some of the highest energy particles given
to us by Nature. The presence of RPV interactions involving ultra-high energy
neutrinos with Earth-matter can lead to resonant production of TeV-scale SUSY
partners of the SM quarks and leptons (squarks and sleptons), thereby giving
rise to potentially anomalous behavior in the event spectrum observed by
large-volume neutrino detectors, such as IceCube, as well as balloon-borne
cosmic ray experiments, such as ANITA. Using the ultra-high energy neutrino
events observed recently at IceCube, with the fact that for a given power-law
flux of astrophysical neutrinos, there is no statistically significant
deviation in the current data from the Standard Model expectations, we derive
robust upper limits on the RPV couplings as a function of the
resonantly-produced squark mass, independent of the other unknown model
parameters, as long as the squarks decay dominantly to two-body final states
involving leptons and quarks through the RPV couplings. Also, we discuss RPV
SUSY interpretations of the recent anomalous, upward-going EeV air showers
observed at ANITA, in terms of long-lived charged or neutral next-to-lightest
SUSY particles.
