This is an open-label, dose-escalation Phase 1 study of the investigational agent, ON 013105. In laboratory animal studies, ON 013105 has demonstrated anti-cancer activity. The purpose of this study is to determine the highest dose of ON 013105 that can be given safely in patients with relapsed/refractory Lymphoma or B-cell Acute Lymphocytic Leukemia (Philadelphia chromosome negative). Patients will receive weekly 2-hour IV infusions of ON 013105 at higher and higher doses until intolerable side effects are observed. It is important to know the highest safe dose so additional studies can be done.