Alisertib, Bortezomib, and Rituximab in Treating Patients With Relapsed or Refractory Mantle Cell Lymphoma or B-cell Low Grade Non-Hodgkin Lymphoma

Inclusion Criteria:

Patients must have histologically confirmed relapsed or refractory mantle cell lymphoma or low grade B-cell non-Hodgkin lymphoma (NHL); patients with evidence of transformation to a high grade histology will not be eligible
Measurable or evaluable disease, as defined in 2008 Revised Response Criteria for Malignant Lymphoma; baseline scans used for measurement should be obtained within 30 days of registration, and baseline bone marrow biopsy and/or aspiration should be obtained with 90 days of registration
Patients may have received one or more lines of prior chemotherapy with/without rituximab (including high dose therapy plus stem cell transplant which is counted as one regimen); prior bortezomib is allowed; patients must not have received bortezomib in the past 6 months
Patients with human immunodeficiency virus (HIV) who are not receiving cytochrome p450 inhibitors, and who have a minimum of 300+ CD4+ cells/mm^3, an undetectable viral load, and no history of acquired immune deficiency syndrome (AIDS) indicator conditions
Patients must be able to take oral medication and to maintain a fast as required for 2 hours before and 1 hour after MLN8237 administration
Eastern Cooperative Oncology Group (ECOG) performance status 0, 1, or 2 (Karnofsky >= 60%)
Leukocytes >= 3,000/mcL (obtained within 30 days of registration)
Absolute neutrophil count >= 1,500/mcL (obtained within 30 days of registration)
Platelets >= 75,000/mcL or >= 50,000/mcL with documented bone marrow involvement (obtained within 30 days of registration)
Total bilirubin within normal institutional limits (may be elevated if direct bilirubin normal) (obtained within 30 days of registration)
Aspartate aminotransferase (AST) (serum glutamic oxaloacetic transaminase [SGOT])/alanine aminotransferase (ALT) (serum glutamate pyruvate transaminase [SGPT]) < 3 X institutional upper limit of normal (obtained within 30 days of registration)
Creatinine within normal institutional limits OR creatinine clearance >= 60 mL/min/1.73 m^2 for patients with creatinine levels above institutional normal (obtained within 30 days of registration)
Women of child-bearing potential and men must agree to use adequate contraception (hormonal or barrier method of birth control; abstinence) prior to study entry and for the duration of study participation; should a woman become pregnant or suspect she is pregnant while she or her partner is participating in this study, she should inform her treating physician immediately; men treated on this protocol must also agree to use adequate contraception prior to the study, for the duration of study participation, and 4 months after completion of MLN8237 administration
Ability to understand and the willingness to sign a written informed consent document

Exclusion Criteria:

Patients who have had chemotherapy or radiotherapy within 4 weeks (6 weeks for nitrosoureas or mitomycin C, 3 weeks for rituximab) prior to entering the study or those who have not recovered from adverse events due to agents administered more than 4 weeks earlier
Patients who are receiving any other investigational agents
Patients with known brain metastases should be excluded from this clinical trial
History of allergic reactions attributed to compounds of similar chemical or biologic composition to MLN8237, bortezomib or rituximab
Uncontrolled intercurrent illness including, but not limited to, ongoing or active infection, symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, or psychiatric illness/social situations that would limit compliance with study requirements
Known history of uncontrolled sleep apnea syndrome and other conditions that could result in excessive daytime sleepiness, such as severe chronic obstructive pulmonary disease; requirement for supplemental oxygen, or any conditions that could result in excessive toxicity associated with the benzodiazepine-like effects of MLN8237
Inability to swallow oral medication or to maintain a fast as required for 2 hours before and 1 hour after MLN8237 administration or any condition that would modify small bowel absorption of oral medications, including malabsorption, or resection of pancreas or upper bowel
Pregnant women are excluded from this study; breastfeeding should be discontinued if the mother is treated with MLN8237
HIV-positive patients on combination antiretroviral therapy which include cytochrome p450 inhibitors are ineligible; patients with CD4 counts less than 300 CD4+ cells/mm^3 and or a high viral load are ineligible
Grade 2 or greater neuropathy

The following agents are not permitted while patients are taking MLN8237, and should be discontinued at prior to registration if patients are taking them:

Patients must stop using the proton pump inhibitor (PPI) for at least 4 days prior to the first dose of MLN8237; administration of PPI while on study is not permitted
Histamine-2 (H2) receptor antagonists are not permitted from the day prior through to the end of MLN8237 dosing, except as required for premedication for rituximab; constant dosing of H2 blockers is not permitted
Antacid preparations are not permitted for 2 hours before or 2 hours after administration of MLN8237
Administration of pancreatic enzymes is not permitted at any time while on study
Co-administration of enzyme-inducing antiepileptic drugs, rifampin, rifabutin, rifapentine or St. John's wort is not permitted
Concurrent bisphosphonate therapy is allowed if it was started before study entry and is maintained at recommended dosing intervals; if bisphosphonate therapy is initiated after study entry, bone lesions will not be considered evaluable for disease response
Patients must be willing not drive, operate dangerous tools or machinery, or engage in any other potentially hazardous activity that requires full alertness and coordination if they experience excessive sedation; if a patient experiences excessive sedation believed to be related to MLN8237, treatment with MLN8237 should be interrupted
Patients must be willing to limit alcohol consumption to no more than 1 standard unit of alcohol (12 oz beer [350 mL], 1.5 oz [45 mL] of 80-proof alcohol, or one 6-oz [175 mL] glass of wine) per day during the study and for 30 days from the last dose of MLN8237; minimize the use of agents with central nervous system (CNS) effects
Benzodiazepine use is discouraged but not prohibited