Inclusion Criteria:

• Male or female subjects, ≥ 18 years of age at the time of Screening with the following exception as outlined below:
• For T cell and B cell ALL subjects with age between 13 - 18 years, their body weight shall be ≥ 40 kg (for Phase 1b only).
• Eligible subject must have an advanced hematologic malignancy including:

Group 1:

• Group 1a
• Relapsed or refractory low risk tumor lysis CLL/SLL subjects (ALC < 25 x 109 /cells/L and all lymph nodes < 5 cm) who have slowly progressed on irreversible BTK inhibitors while on treatment with these agents, and received at least two prior therapies;

Group 1b

• Relapsed or refractory low risk tumor lysis CLL/SLL subjects (ALC < 25 x 109 /cells/L and all lymph nodes < 5 cm) who have slowly progressed on irreversible BTK inhibitors while on treatment with these agents, and received at least two prior therapies; Group 1b
• Morphologically confirmed diagnosis of MF in accordance with the WHO 2016 revised criteria, that is relapsed, intolerant, and/or refractory and that, in the opinion of the Investigator, subjects who have no available therapies known to provide clinical benefits;
• Morphologically confirmed diagnosis of MDS/MPN, excluding juvenile myelomonocytic leukemia (JMML), in accordance with WHO 2016 revised criteria, that is relapsed and/or refractory and that, in the opinion of the Investigator, subjects who have no available therapies known to provide clinical benefits;
  • Chronic myelomonocytic leukemia (CMML) with 9% blasts;
  • Or atypical chronic myeloid leukemia (aCML) with Hgb > 10g/dL, WBC count < 50 x 109 cells/L, <10% immature circulating cells;
  • Or MDS/MPN with ring sideroblasts and thrombocytosis (MDS/MPN-RS-T) with Hgb > 10g/dL;
  • Or myelodysplastic/myeloproliferative neoplasm, unclassifiable (MDS/MPN-UC)
• CMML-2 with 10-19% blasts as defined by WHO 2016 revised criteria that is relapsed and/or refractory to prior HMA therapy;
• Relapsed and/or refractory MPN-BP as defined by WHO 2016 revised criteria that is transformed MPN with >20% myeloid blasts in the peripheral blood or bone marrow, in the opinion of the Investigator, subjects who have no available therapies known to provide clinical benefits;
• MDS subjects with refractory anemia with excess blasts (MDS-EB; subtype MDS-EB-1 or MDS-EB-2) as defined by WHO 2016 revised criteria and/or MDS with high- or very high-risk (risk score > 4.5) per the Revised International Prognostic Scoring System (IPSS-R, refer to Appendix 11; Section 15.13) who have no available therapies known to provide clinical benefit;
• Relapsed or refractory AML subjects (including de novo AML, secondary AML evolving from MDS or MPN or other antecedent hematologic disorder, and therapy-related AML) as defined by WHO 2016 revised criteria, subjects who have no available therapies known to provide clinical benefits; subjects with prior BCL-2 inhibitor therapy are permitted. WBC needs to be ≤ 25 × 109 cells/L at the time of initiating investigational therapy (hydroxyurea is allowed to control WBC prior to and during therapy).

Group 1c

• Relapsed or refractory low risk tumor lysis NHL (NHL histologies [MZL, FL, WM, DLBCL, ATLL, PTCL, AITL, ALCL, MCL] are to be included per the 2016 World Health Organization [WHO] criteria) subjects, must have histologically documented diagnosis of a non-Hodgkin lymphoma as defined in the WHO classification scheme. Subjects have received at least 2 prior therapies and have no available therapies known to provide clinical benefit; For subjects with indolent NHL (Grade 1~3a FL, MZL) who have received two prior systemic therapies and have relapsed or progressed according to 2014 Lugano;
• Low risk tumor lysis transformed follicular, MZL, WM (to large cell or aggressive lymphoma) subjects who must have received at least one prior systemic therapy for the transformed lymphoma (unless combination chemotherapy is not appropriate);
• Low risk tumor lysis Richter transformation (RT): previously treated CLL and biopsy-proven Richter transformation with DLBCL histology after receiving at least one regimen for RT;
• Relapsed or refractory multiple myeloma (MM) subjects who have received a proteasome inhibitor (PI), an immunomodulatory drug (IMiD), and an anti-CD38 and have no treatment options available known to provide clinical benefit;
• Low risk tumor lysis T-cell prolymphocytic leukemia (T-PLL) subjects who have received one therapy for this and are relapsed or refractory ; Group 1d ;
• Relapsed or refractory ALL with dexamethasone run-in [5 days, dexamethasone 10mg/m2 (divided BID)];
• Or r/r ALL in remission but with detectable MRD (MRD +) by any detection method per institution standard of practice;
• IT chemo (per institutional SOC) is permitted prior to LP-118 C1D1 dosing, and then concomitantly on treatment if in best interest of the subject;
• Relapsed or refractory ALL subjects with B cell phenotype who have received at least two prior therapeutic regimens (such as multi-agent chemotherapy and/or tyrosine kinase inhibitors including bosutinib, dasatinib, imatinib, nilotinib or ponatinib) and failed, or are currently ineligible/intolerant for CD19-based target therapy (e.g. Blinatumomab); Relapsed or refractory ALL subjects with T cell phenotype who have received at least one prior therapy and failed.

Group 1d

• Relapsed or refractory ALL with dexamethasone run-in [5 days, dexamethasone 10mg/m2 (divided BID)];
• Or r/r ALL in remission but with detectable MRD (MRD +) by any detection method per institution standard of practice;
• IT chemo (per institutional SOC) is permitted prior to LP-118 C1D1 dosing, and then concomitantly on treatment if in best interest of the subject;
• Relapsed or refractory ALL subjects with B cell phenotype who have received at least two prior therapeutic regimens (such as multi-agent chemotherapy and/or tyrosine kinase inhibitors including bosutinib, dasatinib, imatinib, nilotinib or ponatinib) and failed, or are currently ineligible/intolerant for CD19-based target therapy (e.g. Blinatumomab); Relapsed or refractory ALL subjects with T cell phenotype who have received at least one prior therapy and failed.