diff --git a/integration_tests/src/main/python/ast_test.py b/integration_tests/src/main/python/ast_test.py
index 2c06c51a876..94976ea2208 100644
--- a/integration_tests/src/main/python/ast_test.py
+++ b/integration_tests/src/main/python/ast_test.py
@@ -380,3 +380,9 @@ def test_or(data_gen):
                        f.col('a') | f.lit(True),
                        f.lit(False) | f.col('b'),
                        f.col('a') | f.col('b')))
+
+def test_multi_tier_ast():
+    assert_gpu_ast(
+        is_supported=True,
+        func=lambda spark: spark.range(10).withColumn("x", f.col("id")).repartition(1)\
+            .selectExpr("(id < x) == (id < (id + x))"))
diff --git a/integration_tests/src/main/python/fastparquet_compatibility_test.py b/integration_tests/src/main/python/fastparquet_compatibility_test.py
index a12bd223778..11bc389fb0a 100644
--- a/integration_tests/src/main/python/fastparquet_compatibility_test.py
+++ b/integration_tests/src/main/python/fastparquet_compatibility_test.py
@@ -124,9 +124,12 @@ def read_with_fastparquet_or_plugin(spark):
                  marks=pytest.mark.xfail(reason="fastparquet reads dates as timestamps.")),
     pytest.param(DateGen(nullable=False),
                  marks=pytest.mark.xfail(reason="fastparquet reads far future dates (e.g. year=8705) incorrectly.")),
-    TimestampGen(nullable=False,
-                 start=pandas_min_datetime,
-                 end=pandas_max_datetime),  # Vanilla case.
+    pytest.param(TimestampGen(nullable=False,
+                              start=pandas_min_datetime,
+                              end=pandas_max_datetime),
+                 marks=pytest.mark.skipif(condition=is_not_utc(),
+                                          reason="fastparquet interprets timestamps in UTC timezone, regardless "
+                                                 "of timezone settings")),  # Vanilla case.
     pytest.param(TimestampGen(nullable=False,
                               start=pandas_min_datetime,
                               end=pandas_max_datetime),
@@ -201,9 +204,12 @@ def test_reading_file_written_by_spark_cpu(data_gen, spark_tmp_path):
                  marks=pytest.mark.xfail(reason="fastparquet reads dates as timestamps.")),
     pytest.param(DateGen(nullable=False),
                  marks=pytest.mark.xfail(reason="fastparquet reads far future dates (e.g. year=8705) incorrectly.")),
-    TimestampGen(nullable=False,
-                 start=pandas_min_datetime,
-                 end=pandas_max_datetime),  # Vanilla case.
+    pytest.param(TimestampGen(nullable=False,
+                              start=pandas_min_datetime,
+                              end=pandas_max_datetime),
+                 marks=pytest.mark.skipif(condition=is_not_utc(),
+                                          reason="fastparquet interprets timestamps in UTC timezone, regardless "
+                                                 "of timezone settings")),  # Vanilla case.
     pytest.param(TimestampGen(nullable=False,
                               start=datetime(1, 2, 1, tzinfo=timezone.utc),
                               end=pandas_min_datetime),
diff --git a/integration_tests/src/main/python/string_test.py b/integration_tests/src/main/python/string_test.py
index 65865d0bdc1..1e871e85bd5 100644
--- a/integration_tests/src/main/python/string_test.py
+++ b/integration_tests/src/main/python/string_test.py
@@ -653,10 +653,10 @@ def test_byte_length():
 @incompat
 def test_initcap():
     # Because we don't use the same unicode version we need to limit
-    # the charicter set to something more reasonable
+    # the character set to something more reasonable
     # upper and lower should cover the corner cases, this is mostly to
     # see if there are issues with spaces
-    gen = mk_str_gen('([aAbB1357ȺéŸ_@%-]{0,15}[ \r\n\t]{1,2}){1,5}')
+    gen = StringGen('([aAbB1357ȺéŸ_@%-]{0,15}[ \r\n\t]{1,2}){1,5}')
     assert_gpu_and_cpu_are_equal_collect(
             lambda spark: unary_op_df(spark, gen).select(
                 f.initcap(f.col('a'))))