diff --git a/docs/inspection-reflection.rst b/docs/inspection-reflection.rst
index 3faa609..253baa0 100644
--- a/docs/inspection-reflection.rst
+++ b/docs/inspection-reflection.rst
@@ -87,10 +87,10 @@ Create a SQLAlchemy table object:
 Reflect column data types from the table metadata:
 
     >>> table.columns.get('name')
-    Column('name', String(), table=<characters>)
+    Column('name', VARCHAR(), table=<characters>)
 
     >>> table.primary_key
-    PrimaryKeyConstraint(Column('id', String(), table=<characters>, primary_key=True...
+    PrimaryKeyConstraint(Column('id', VARCHAR(), table=<characters>, primary_key=True...
 
 
 CrateDialect
diff --git a/src/sqlalchemy_cratedb/dialect.py b/src/sqlalchemy_cratedb/dialect.py
index 6786051..78501df 100644
--- a/src/sqlalchemy_cratedb/dialect.py
+++ b/src/sqlalchemy_cratedb/dialect.py
@@ -36,41 +36,54 @@
 from .type import FloatVector, ObjectArray, ObjectType
 
 TYPES_MAP = {
-    "boolean": sqltypes.Boolean,
-    "short": sqltypes.SmallInteger,
-    "smallint": sqltypes.SmallInteger,
-    "timestamp": sqltypes.TIMESTAMP(timezone=False),
-    "timestamp with time zone": sqltypes.TIMESTAMP(timezone=True),
+    "boolean": sqltypes.BOOLEAN,
+    "short": sqltypes.SMALLINT,
+    "smallint": sqltypes.SMALLINT,
+    "timestamp": sqltypes.TIMESTAMP,
+    "timestamp with time zone": sqltypes.TIMESTAMP(timezone=False),
+    "timestamp without time zone": sqltypes.TIMESTAMP(timezone=True),
     "object": ObjectType,
-    "integer": sqltypes.Integer,
-    "long": sqltypes.NUMERIC,
-    "bigint": sqltypes.NUMERIC,
+    "object_array": ObjectArray,  # TODO: Can this also be improved to use `sqltypes.ARRAY`?
+    "integer": sqltypes.INTEGER,
+    "long": sqltypes.BIGINT,
+    "bigint": sqltypes.BIGINT,
+    "float": sqltypes.FLOAT,
     "double": sqltypes.DECIMAL,
     "double precision": sqltypes.DECIMAL,
-    "object_array": ObjectArray,
-    "float": sqltypes.Float,
-    "real": sqltypes.Float,
-    "string": sqltypes.String,
-    "text": sqltypes.String,
+    "real": sqltypes.REAL,
+    "string": sqltypes.VARCHAR,
+    "text": sqltypes.VARCHAR,
     "float_vector": FloatVector,
 }
+
 try:
     # SQLAlchemy >= 1.1
     from sqlalchemy.types import ARRAY
-    TYPES_MAP["integer_array"] = ARRAY(sqltypes.Integer)
-    TYPES_MAP["boolean_array"] = ARRAY(sqltypes.Boolean)
-    TYPES_MAP["short_array"] = ARRAY(sqltypes.SmallInteger)
-    TYPES_MAP["smallint_array"] = ARRAY(sqltypes.SmallInteger)
+    TYPES_MAP["integer_array"] = ARRAY(sqltypes.INTEGER)
+    TYPES_MAP["boolean_array"] = ARRAY(sqltypes.BOOLEAN)
+    TYPES_MAP["short_array"] = ARRAY(sqltypes.SMALLINT)
+    TYPES_MAP["smallint_array"] = ARRAY(sqltypes.SMALLINT)
+    TYPES_MAP["timestamp_array"] = ARRAY(sqltypes.TIMESTAMP)
     TYPES_MAP["timestamp_array"] = ARRAY(sqltypes.TIMESTAMP(timezone=False))
     TYPES_MAP["timestamp with time zone_array"] = ARRAY(sqltypes.TIMESTAMP(timezone=True))
-    TYPES_MAP["long_array"] = ARRAY(sqltypes.NUMERIC)
-    TYPES_MAP["bigint_array"] = ARRAY(sqltypes.NUMERIC)
-    TYPES_MAP["double_array"] = ARRAY(sqltypes.DECIMAL)
-    TYPES_MAP["double precision_array"] = ARRAY(sqltypes.DECIMAL)
-    TYPES_MAP["float_array"] = ARRAY(sqltypes.Float)
-    TYPES_MAP["real_array"] = ARRAY(sqltypes.Float)
-    TYPES_MAP["string_array"] = ARRAY(sqltypes.String)
-    TYPES_MAP["text_array"] = ARRAY(sqltypes.String)
+    TYPES_MAP["long_array"] = ARRAY(sqltypes.BIGINT)
+    TYPES_MAP["bigint_array"] = ARRAY(sqltypes.BIGINT)
+    TYPES_MAP["float_array"] = ARRAY(sqltypes.FLOAT)
+    TYPES_MAP["real_array"] = ARRAY(sqltypes.REAL)
+    TYPES_MAP["string_array"] = ARRAY(sqltypes.VARCHAR)
+    TYPES_MAP["text_array"] = ARRAY(sqltypes.VARCHAR)
+except Exception:
+    pass
+
+try:
+    # SQLAlchemy >= 2.0
+    from sqlalchemy.types import DOUBLE, DOUBLE_PRECISION
+    TYPES_MAP["real"] = DOUBLE
+    TYPES_MAP["real_array"] = ARRAY(DOUBLE)
+    TYPES_MAP["double"] = DOUBLE
+    TYPES_MAP["double_array"] = ARRAY(DOUBLE)
+    TYPES_MAP["double precision"] = DOUBLE_PRECISION
+    TYPES_MAP["double precision_array"] = ARRAY(DOUBLE_PRECISION)
 except Exception:
     pass
 
diff --git a/tests/integration.py b/tests/integration.py
index 80d155e..3786377 100644
--- a/tests/integration.py
+++ b/tests/integration.py
@@ -29,7 +29,7 @@
 import logging
 
 from crate.client import connect
-from sqlalchemy_cratedb import SA_VERSION, SA_2_0
+from sqlalchemy_cratedb import SA_VERSION, SA_2_0, SA_1_4
 from tests.settings import crate_host
 
 log = logging.getLogger()
@@ -184,16 +184,22 @@ def create_test_suite():
         'docs/crud.rst',
         'docs/working-with-types.rst',
         'docs/advanced-querying.rst',
-        'docs/inspection-reflection.rst',
     ]
 
-    # Don't run DataFrame integration tests on SQLAlchemy 1.3 and Python 3.7.
+    # Don't run DataFrame integration tests on SQLAlchemy 1.4 and earlier, or Python 3.7.
     skip_dataframe = SA_VERSION < SA_2_0 or sys.version_info < (3, 8)
     if not skip_dataframe:
         sqlalchemy_integration_tests += [
             'docs/dataframe.rst',
         ]
 
+    # Don't run reflection integration tests on SQLAlchemy 1.3 and earlier and Python 3.10 and 3.11.
+    skip_reflection = SA_VERSION < SA_1_4 and (3, 10) <= sys.version_info < (3, 12)
+    if not skip_reflection:
+        sqlalchemy_integration_tests += [
+            'docs/inspection-reflection.rst',
+        ]
+
     s = doctest.DocFileSuite(
         *sqlalchemy_integration_tests,
         module_relative=False,