diff --git a/src/compiler/codegen/utils.jl b/src/compiler/codegen/utils.jl
index 2676dd4..02405cc 100644
--- a/src/compiler/codegen/utils.jl
+++ b/src/compiler/codegen/utils.jl
@@ -102,16 +102,6 @@ Optionally stores a compile-time constant value.
 ghost_value(@nospecialize(jltype)) = CGVal(nothing, TypeId(-1), jltype, Int[], nothing, nothing, nothing)
 ghost_value(@nospecialize(jltype), constant) = CGVal(nothing, TypeId(-1), jltype, Int[], nothing, Some(constant), nothing)
 
-"""
-    constant_value(jltype, type_id, constant) -> CGVal
-
-Deferred constant: has a Tile IR type but no bytecode value yet.
-Materialized (ConstantOp emitted) on demand at SSA lookup time.
-Parallel to Julia's non-ghost cgval from mark_julia_const.
-"""
-constant_value(@nospecialize(jltype), type_id::TypeId, constant) =
-    CGVal(nothing, type_id, jltype, Int[], nothing, Some(constant), nothing)
-
 """
     tuple_value(jltype, component_refs, component_constants) -> CGVal
 
diff --git a/src/compiler/codegen/values.jl b/src/compiler/codegen/values.jl
index 64c3c27..97d73a2 100644
--- a/src/compiler/codegen/values.jl
+++ b/src/compiler/codegen/values.jl
@@ -8,26 +8,7 @@ Emit/resolve a value reference to a CGVal using multiple dispatch.
 function emit_value!(ctx::CGCtx, ssa::SSAValue)
     tv = ctx[ssa]
     tv !== nothing || throw(IRError("SSAValue %$(ssa.id) not found in context"))
-    return maybe_materialize!(ctx, ssa, tv)
-end
-
-"""
-    maybe_materialize!(ctx, ssa, tv) -> CGVal
-
-Materialize a deferred constant into bytecode on demand.
-Only acts on CGVals with `type_id != TypeId(-1)` and no value yet (deferred constants).
-"""
-function maybe_materialize!(ctx::CGCtx, ssa::SSAValue, tv::CGVal)
-    tv.v !== nothing && return tv               # already materialized
-    tv.type_id == TypeId(-1) && return tv       # ghost — nothing to materialize
-    tv.constant === nothing && return tv         # no constant to materialize
-
-    val = something(tv.constant)
-    bytes = constant_to_bytes(val, CC.widenconst(tv.jltype))
-    v = encode_ConstantOp!(ctx.cb, tv.type_id, bytes)
-    materialized = CGVal(v, tv.type_id, tv.jltype, Int[], nothing, tv.constant, nothing)
-    ctx[ssa] = materialized
-    return materialized
+    return tv
 end
 emit_value!(ctx::CGCtx, arg::Argument) = ctx[arg]
 emit_value!(ctx::CGCtx, slot::SlotNumber) = ctx[slot]
@@ -81,13 +62,12 @@ end
 function emit_value!(ctx::CGCtx, ref::GlobalRef)
     val = getfield(ref.mod, ref.name)
     T = typeof(val)
-    # Ghost types have no materializable representation.
-    # Non-ghost types with a Tile IR type become deferred constants (materialized on demand).
-    # Everything else (functions, enums, etc.) is compile-time only → ghost.
     if !is_ghost_type(T)
         type_id = tile_type_for_julia!(ctx, T; throw_error=false)
         if type_id !== nothing
-            return constant_value(T, type_id, val)
+            bytes = constant_to_bytes(val, T)
+            v = encode_ConstantOp!(ctx.cb, type_id, bytes)
+            return CGVal(v, type_id, T, Int[], nothing, Some(val), nothing)
         end
     end
     ghost_value(T, val)
diff --git a/test/codegen.jl b/test/codegen.jl
index 58a056d..5616d1c 100644
--- a/test/codegen.jl
+++ b/test/codegen.jl
@@ -2174,6 +2174,45 @@ const _CODEGEN_TEST_FLOAT64 = 3.14159
             end
         end
     end
+
+    @testset "scalar arg multiplied by external constant" begin
+        # Regression test for issue #77: scalar × global constant failed
+        # because encode_MulFOp! received Nothing from the ghost-wrapped GlobalRef.
+        @test @filecheck begin
+            @check_label "entry"
+            code_tiled(Tuple{ct.TileArray{Float32,1,spec1d}, Float32}) do a, scale
+                pid = ct.bid(1)
+                tile = ct.load(a, pid, (16,))
+                @check "constant <f32"
+                @check "mulf"
+                total_scale = scale * _CODEGEN_TEST_FLOAT32
+                @check "broadcast"
+                @check "mulf"
+                Base.donotdelete(tile .* total_scale)
+                return
+            end
+        end
+    end
+
+    @testset "external constant as first operand in scalar addition" begin
+        # Regression test for issue #77: global constant used in scalar arithmetic
+        # must emit a ConstantOp, not a ghost value. Tests GlobalRef as the first
+        # operand (LHS) to cover both operand positions.
+        @test @filecheck begin
+            @check_label "entry"
+            code_tiled(Tuple{ct.TileArray{Float32,1,spec1d}, Float32}) do a, offset
+                pid = ct.bid(1)
+                tile = ct.load(a, pid, (16,))
+                @check "constant <f32"
+                @check "addf"
+                total = _CODEGEN_TEST_FLOAT32 + offset
+                @check "broadcast"
+                @check "addf"
+                Base.donotdelete(tile .+ total)
+                return
+            end
+        end
+    end
 end
 
 #=============================================================================
diff --git a/test/execution.jl b/test/execution.jl
index 7c0d271..2f9cb87 100644
--- a/test/execution.jl
+++ b/test/execution.jl
@@ -1361,6 +1361,31 @@ end
 
 end
 
+const _EXEC_TEST_GLOBAL_CONST = Float32(1 / log(2))
+
+@testset "global constant arithmetic" begin
+    # Regression test for issue #77: scalar × global constant failed during codegen.
+    function global_const_arith_kernel(a::ct.TileArray{Float32,1},
+                                       b::ct.TileArray{Float32,1},
+                                       scale::Float32)
+        pid = ct.bid(1)
+        tile = ct.load(a, pid, (16,))
+        total_scale = scale * _EXEC_TEST_GLOBAL_CONST
+        ct.store(b, pid, tile .* total_scale)
+        return
+    end
+
+    n = 1024
+    tile_size = 16
+    scale = 2.5f0
+    a = CUDA.rand(Float32, n)
+    b = CUDA.zeros(Float32, n)
+
+    ct.launch(global_const_arith_kernel, cld(n, tile_size), a, b, scale)
+
+    @test Array(b) ≈ Array(a) .* (scale * _EXEC_TEST_GLOBAL_CONST)
+end
+
 @testset "tile broadcasting" begin
 
 @testset "1D broadcast: (1,) .+ (128,)" begin