A 52-year-old man is admitted to the hospital for a 2-day history of right maxillary sinus pain and exophthalmos of the right eye with fever. Empiric cefepime is initiated. Medical history is significant for acute myelogenous leukemia, for which he recently completed induction chemotherapy.

On physical examination, temperature is 38.8 °C (101.8 °F), blood pressure is 100/70 mm Hg, pulse rate is 100/min, and respiration rate is 18/min. Exophthalmos of the right eye is noted, with ecchymosis around the eye and right nostril and bloody nasal discharge. The remainder of the examination is unremarkable.

Laboratory studies show an absolute neutrophil count of 100/µL (0.1 × 109/L). The result of a serum galactomannan antigen immunoassay is positive.

Septate hyphae with acute angle branching are noted in tissue from sinus debridement.

CT of the head and sinuses reveals right maxillary sinusitis, right ethmoid sinusitis, and right eye retro-orbital inflammation.

Which of the following is the most likely diagnosis?