diff --git a/pytensor/tensor/rewriting/reshape.py b/pytensor/tensor/rewriting/reshape.py
index ab330551f3..3fc9372f14 100644
--- a/pytensor/tensor/rewriting/reshape.py
+++ b/pytensor/tensor/rewriting/reshape.py
@@ -1,19 +1,28 @@
 from pytensor.graph import node_rewriter
 from pytensor.graph.rewriting.basic import copy_stack_trace
+from pytensor.tensor.basic import expand_dims
+from pytensor.tensor.extra_ops import squeeze
 from pytensor.tensor.reshape import JoinDims, SplitDims
 from pytensor.tensor.rewriting.basic import register_canonicalize
 
 
 @register_canonicalize
 @node_rewriter([SplitDims])
-def local_split_dims_to_reshape(fgraph, node):
+def local_split_dims(fgraph, node):
     """
     Canonicalize SplitDims Ops to Reshape Ops for further graph reasoning (and dispatch to other backends).
+    Special case: if shape is (0,), converts to squeeze instead.
     """
 
     x, shape = node.inputs
     axis = node.op.axis
 
+    # Special case: empty shape -> squeeze
+    if shape.type.shape == (0,):
+        squeezed_x = squeeze(x, axis=axis)
+        copy_stack_trace(x, squeezed_x)
+        return [squeezed_x]
+
     output_shape = [
         *x.shape[:axis],
         *shape,
@@ -28,7 +37,7 @@ def local_split_dims_to_reshape(fgraph, node):
 
 @register_canonicalize
 @node_rewriter([JoinDims])
-def local_join_dims_to_reshape(fgraph, node):
+def local_join_dims(fgraph, node):
     """
     Canonicalize JoinDims Ops to Reshape Ops for further graph reasoning (and dispatch to other backends).
     """
@@ -38,6 +47,15 @@ def local_join_dims_to_reshape(fgraph, node):
     start_axis = op.start_axis
     n_axes = op.n_axes
 
+    if n_axes == 0:
+        expanded_x = expand_dims(x, axis=node.op.start_axis)
+        copy_stack_trace(x, expanded_x)
+        return [expanded_x]
+
+    if n_axes == 1:
+        copy_stack_trace(x, x)
+        return [x]
+
     output_shape = [
         *x.shape[:start_axis],
         -1,
diff --git a/tests/tensor/rewriting/test_reshape.py b/tests/tensor/rewriting/test_reshape.py
index d18e0b6419..2d761875fb 100644
--- a/tests/tensor/rewriting/test_reshape.py
+++ b/tests/tensor/rewriting/test_reshape.py
@@ -1,7 +1,10 @@
 from pytensor.graph import FunctionGraph, rewrite_graph
+from pytensor.tensor.basic import expand_dims
+from pytensor.tensor.extra_ops import squeeze
 from pytensor.tensor.reshape import JoinDims, SplitDims, join_dims, split_dims
 from pytensor.tensor.shape import Reshape
 from pytensor.tensor.type import tensor
+from tests.unittest_tools import assert_equal_computations
 
 
 def test_local_split_dims_to_reshape():
@@ -32,3 +35,59 @@ def test_local_join_dims_to_reshape():
     assert sum([1 for node in fg.toposort() if isinstance(node.op, JoinDims)]) == 0
     assert sum([1 for node in fg.toposort() if isinstance(node.op, Reshape)]) == 1
     assert fg.outputs[0].type.shape == (2, 10, 3)
+
+
+def test_local_join_dims_noop():
+    """Test that join_dims with n_axes=1 becomes identity (no-op)."""
+    x = tensor("x", shape=(2, 3, 4))
+    x_join = join_dims(x, start_axis=1, n_axes=1)
+
+    fg = FunctionGraph(inputs=[x], outputs=[x_join])
+
+    # Before rewrite: should have 1 JoinDims node
+    assert sum([1 for node in fg.toposort() if isinstance(node.op, JoinDims)]) == 1
+
+    rewrite_graph(fg, include=("canonicalize",))
+
+    # Output should be equivalent to input (identity rewrite)
+    assert_equal_computations([fg.outputs[0]], [x], in_xs=[fg.outputs[0]], in_ys=[x])
+
+
+def test_local_join_dims_expand():
+    """Test that join_dims with n_axes=0 becomes expand_dims."""
+    x = tensor("x", shape=(2, 3, 4))
+    x_join = join_dims(x, start_axis=1, n_axes=0)
+
+    fg = FunctionGraph(inputs=[x], outputs=[x_join])
+
+    # Before rewrite: should have 1 JoinDims node
+    assert sum([1 for node in fg.toposort() if isinstance(node.op, JoinDims)]) == 1
+
+    rewrite_graph(fg, include=("canonicalize",))
+
+    # Output shape should be (2, 1, 3, 4) - new dimension of size 1 inserted at axis 1
+    expected = expand_dims(x, axis=1)
+    assert_equal_computations(
+        [fg.outputs[0]], [expected], in_xs=[fg.outputs[0]], in_ys=[expected]
+    )
+
+
+def test_local_split_dims_to_reshape_squeeze_case():
+    """Test that split_dims with shape tensor of static shape (0,) becomes squeeze via merged rewrite."""
+    x = tensor("x", shape=(2, 1, 3, 4))
+    # Create a tensor variable with static shape (0,)
+    empty_shape_var = tensor("empty_shape", shape=(0,), dtype="int32")
+    x_split = split_dims(x, axis=1, shape=empty_shape_var)
+
+    fg = FunctionGraph(inputs=[x, empty_shape_var], outputs=[x_split])
+
+    # Before rewrite: should have 1 SplitDims node
+    assert sum([1 for node in fg.toposort() if isinstance(node.op, SplitDims)]) == 1
+
+    rewrite_graph(fg, include=("canonicalize",))
+
+    # Output shape should be (2, 3, 4) - dimension 1 removed
+    expected = squeeze(x, axis=1)
+    assert_equal_computations(
+        [fg.outputs[0]], [expected], in_xs=[fg.outputs[0]], in_ys=[expected]
+    )