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Recent progress towards realizing the Electron-Ion Collider (EIC) that wasannounced in 2020 to be built at Brookhaven National Laboratory (BNL) in theUnited States has revived interests in the deep-inelastic-scattering (DIS) datataken from $ep$ collisions at Hadron-Electron Ring Accelerator (HERA). The H1detector equipped with tracking and fully instrumented calorimeter detectors inits hermetic and asymmetric design is well suited for jet and event shapemeasurements. Proposed measurements involving jets, global events shapes andcorrelations in DIS for HERA and EIC focus on the three-dimensional descriptionof nucleon structure and hadronization and their their flavor dependence aswell as precision measurements for QCD and BSM. This contribution presentsrecent results on the lepton-jet azimuthal decorrelation and the 1-jettinessevent shape measurements performed using the DIS data at high $Q^2$ taken withthe H1 detector at HERA.

Measurements of lepton-jet azimuthal decorrelation and 1-jetttiness  event shape at high $Q^2$ in deep inelastic scattering (DIS) with the H1  experiment at HERA