diff --git a/pkg/JuliaInterface/gap/JuliaInterface.gd b/pkg/JuliaInterface/gap/JuliaInterface.gd
index 517bfa206..64a759e42 100644
--- a/pkg/JuliaInterface/gap/JuliaInterface.gd
+++ b/pkg/JuliaInterface/gap/JuliaInterface.gd
@@ -109,8 +109,7 @@
 #! However not every object living on the Julia side is in this filter.
 #! For example Julia booleans and small <C>Int</C> values are directly
 #! translated to GAP booleans and small integers, while for Julia functions
-#! and wrappers dedicated wrappers are used for improved efficiency
-#! respectively additional features.
+#! dedicated wrappers are used to improve efficiency and add features.
 #! @BeginExampleSession
 #! gap> JuliaEvalString( "x = 4" );;
 #! gap> Julia.x;
@@ -119,8 +118,6 @@
 #! false
 #! gap> IsJuliaObject( Julia.sqrt );
 #! false
-#! gap> IsJuliaObject( Julia.Main );
-#! false
 #! @EndExampleSession
 DeclareCategory( "IsJuliaObject", IsObject );
 
@@ -138,14 +135,10 @@ BindGlobal("TheTypeJuliaObject", NewType( JuliaObjectFamily, IsJuliaObject ));
 #!  This admits implementing high-level wrapper objects
 #!  for &Julia; objects that behave just like the &Julia; objects
 #!  when used as arguments in calls to &Julia; functions.
-#!  <!-- No other functionality is implemented for IsJuliaWrapper -->
 #!
 #!  Objects in <Ref Filt="IsJuliaWrapper" Label="for IsObject"/>
 #!  should <E>not</E> be in the filter
 #!  <Ref Filt="IsJuliaObject" Label="for IsObject"/>.
-#!
-#!  For example, any Julia modules such as <C>Julia.Base</C> are
-#!  in the filter <Ref Filt="IsJuliaWrapper" Label="for IsObject"/>.
 DeclareCategory( "IsJuliaWrapper", IsObject );
 
 #! @Arguments obj
@@ -153,18 +146,6 @@ DeclareCategory( "IsJuliaWrapper", IsObject );
 #!  is an attribute for &GAP; objects in the filter
 #!  <Ref Filt="IsJuliaWrapper" Label="for IsObject"/>.
 #!  The value must be a &Julia; object.
-#! @BeginExampleSession
-#! gap> Julia;
-#! <Julia module Main>
-#! gap> IsJuliaObject( Julia );
-#! false
-#! gap> IsJuliaWrapper( Julia );
-#! true
-#! gap> ptr:= JuliaPointer( Julia );
-#! <Julia: Main>
-#! gap> IsJuliaObject( ptr );
-#! true
-#! @EndExampleSession
 DeclareAttribute( "JuliaPointer", IsJuliaWrapper );
 
 #! @Arguments obj
@@ -181,10 +162,10 @@ DeclareAttribute( "JuliaPointer", IsJuliaWrapper );
 #! gap> Julia.GAP.julia_to_gap;
 #! <Julia: julia_to_gap>
 #! @EndExampleSession
-DeclareCategory( "IsJuliaModule", IsJuliaWrapper and IsRecord  );
+DeclareCategory( "IsJuliaModule", IsJuliaObject and IsRecord  );
 
 BindGlobal( "TheFamilyOfJuliaModules", NewFamily( "TheFamilyOfJuliaModules" ) );
-BindGlobal( "TheTypeOfJuliaModules", NewType( TheFamilyOfJuliaModules, IsJuliaModule and IsAttributeStoringRep ) );
+BindGlobal( "TheTypeOfJuliaModules", NewType( TheFamilyOfJuliaModules, IsJuliaModule and HasName ) );
 
 #! @Section Creating &Julia; objects
 
@@ -271,9 +252,7 @@ DeclareGlobalVariable( "Julia" );
 #! @BeginExampleSession
 #! gap> JuliaTypeInfo( Julia.GAP );
 #! "Module"
-#! gap> JuliaTypeInfo( JuliaPointer( Julia.GAP ) );
-#! "Module"
-#! gap> JuliaTypeInfo( JuliaEvalString( "sqrt(2)" ) );
+#! gap> JuliaTypeInfo( Julia.sqrt(2) );
 #! "Float64"
 #! gap> JuliaTypeInfo( 1 );
 #! "Int64"
diff --git a/pkg/JuliaInterface/gap/JuliaInterface.gi b/pkg/JuliaInterface/gap/JuliaInterface.gi
index d28a5f3c2..a58880157 100644
--- a/pkg/JuliaInterface/gap/JuliaInterface.gi
+++ b/pkg/JuliaInterface/gap/JuliaInterface.gi
@@ -4,22 +4,9 @@
 # Implementations
 #
 
-BindGlobal( "_JULIA_MODULE_TYPE", _JuliaGetGlobalVariableByModule( "Module", "Core" ) );
 BindGlobal( "_JULIA_FUNCTION_TYPE", _JuliaGetGlobalVariableByModule( "Function", "Core" ) );
 BindGlobal( "_JULIA_ISA", _WrapJuliaFunction( _JuliaGetGlobalVariableByModule( "isa", "Core" ) ) );
-
-BindGlobal( "_WrapJuliaModule",
-  function( name, julia_pointer )
-    local str;
-
-    str:= Concatenation( "<Julia module ", name, ">" );
-
-    return ObjectifyWithAttributes( rec( storage := rec( ) ),
-                             TheTypeOfJuliaModules,
-                             Name, str,
-                             String, str,
-                             JuliaPointer, julia_pointer );
-end );
+BindGlobal( "_JULIA_GAP", _JuliaGetGapModule() );
 
 InstallMethod( ViewString,
     [ "IsFunction and IsInternalRep and HasNameFunction" ],
@@ -31,59 +18,78 @@ InstallMethod( ViewString,
     TryNextMethod();
     end );
 
+InstallMethod( ViewString,
+    [ "IsJuliaModule" ],
+    function( module )
+    return Concatenation( "<Julia module ", JuliaToGAP( IsString, Julia.string( module ) ), ">" );
+    end );
+
+InstallMethod( Name,
+    [ "IsJuliaModule" ],
+    function( module )
+    return Concatenation( "<Julia module ", JuliaToGAP( IsString, Julia.string( module ) ), ">" );
+    end );
+
 InstallMethod( \.,
-              [ "IsJuliaModule", "IsPosInt" ],
+              [ "IsJuliaModule", "IsPosInt and IsSmallIntRep" ],
   function( module, rnum )
     local rnam, var;
 
-    if IsBound\.( module!.storage, rnum ) then
-        return \.(module!.storage, rnum );
-    fi;
-
     rnam := NameRNam( rnum );
 
-    var := _JuliaGetGlobalVariableByModule( rnam, JuliaPointer( module ) );
+    if IsIdenticalObj(module, Julia) and rnam = "GAP" then
+        ## Ensure that the Julia module GAP is always accessible as Julia.GAP,
+        ## even while it is still being initialized, and also if it not actually
+        ## exported to the Julia Main module
+        return _JULIA_GAP;
+    fi;
+
+    var := _JuliaGetGlobalVariableByModule( rnam, module );
     if var = fail then
         Error( rnam, " is not bound in Julia" );
     fi;
 
     if _JULIA_ISA( var, _JULIA_FUNCTION_TYPE ) then
         var := _WrapJuliaFunction( var );
-    elif _JULIA_ISA( var, _JULIA_MODULE_TYPE ) then
-        var := _WrapJuliaModule( rnam, var );
-        \.\:\=( module!.storage, rnum, var );
     fi;
 
     return var;
 end );
 
 InstallMethod( \.\:\=,
-               [ "IsJuliaModule", "IsPosInt", "IsObject" ],
+               [ "IsJuliaModule", "IsPosInt and IsSmallIntRep", "IsObject" ],
   function( module, rnum, obj )
     Julia.GAP._setglobal( module, JuliaSymbol( NameRNam( rnum ) ), obj );
 end );
 
 InstallMethod( IsBound\.,
-               [ "IsJuliaModule", "IsPosInt" ],
+               [ "IsJuliaModule", "IsPosInt and IsSmallIntRep" ],
   function( module, rnum )
-    if IsBound\.( module!.storage, rnum ) then
+    local rnam;
+
+    rnam := NameRNam( rnum );
+    if IsIdenticalObj(module, Julia) and rnam = "GAP" then
+        ## Ensure that the Julia module GAP is always accessible as Julia.GAP,
+        ## even while it is still being initialized, and also if it not actually
+        ## exported to the Julia Main module
         return true;
     fi;
-    return fail <> _JuliaGetGlobalVariableByModule( NameRNam( rnum ), JuliaPointer( module ) );
+
+    return fail <> _JuliaGetGlobalVariableByModule( rnam, module );
 end );
 
 InstallMethod( Unbind\.,
-               [ "IsJuliaModule", "IsPosInt" ],
+               [ "IsJuliaModule", "IsPosInt and IsSmallIntRep" ],
   function( module, rnum )
     Error( "cannot unbind Julia variables" );
 end );
 
 InstallMethod(RecNames, [ "IsJuliaModule" ],
 function( obj )
-    return JuliaToGAP( IsList, Julia.GAP.get_symbols_in_module( JuliaPointer( obj ) ), true );
+    return JuliaToGAP( IsList, Julia.GAP.get_symbols_in_module( obj ), true );
 end);
 
-InstallValue( Julia, _WrapJuliaModule( "Main", _JuliaGetGlobalVariableByModule( "Main", "Main" ) ) );
+InstallValue( Julia, _JuliaGetGlobalVariableByModule( "Main", "Main" ) );
 
 InstallGlobalFunction( "JuliaIncludeFile",
 function( filename, module_name... )
diff --git a/pkg/JuliaInterface/read.g b/pkg/JuliaInterface/read.g
index 06b4ed4d3..c73e00b4c 100644
--- a/pkg/JuliaInterface/read.g
+++ b/pkg/JuliaInterface/read.g
@@ -5,11 +5,6 @@
 #
 ReadPackage( "JuliaInterface", "gap/JuliaInterface.gi");
 
-## Ensure that the Julia module GAP is always accessible as Julia.GAP,
-## even while it is still being initialized, and also if it not actually
-## exported to the Julia Main module
-Julia!.storage.GAP := _WrapJuliaModule( "GAP", _JuliaGetGapModule() );
-
 ReadPackage( "JuliaInterface", "gap/adapter.gi");
 ReadPackage( "JuliaInterface", "gap/calls.gi");
 ReadPackage( "JuliaInterface", "gap/convert.gi");
diff --git a/pkg/JuliaInterface/src/JuliaInterface.c b/pkg/JuliaInterface/src/JuliaInterface.c
index a39223c6c..22d163464 100644
--- a/pkg/JuliaInterface/src/JuliaInterface.c
+++ b/pkg/JuliaInterface/src/JuliaInterface.c
@@ -21,6 +21,7 @@ static jl_datatype_t * JULIA_GAPFFE_type;
 
 static jl_datatype_t * gap_datatype_mptr;
 
+static Obj  TheTypeOfJuliaModules;
 static Obj  TheTypeJuliaObject;
 static UInt T_JULIA_OBJ;
 
@@ -114,7 +115,10 @@ jl_value_t * GET_JULIA_OBJ(Obj o)
 
 static Obj JuliaObjectTypeFunc(Obj o)
 {
-    return TheTypeJuliaObject;
+    if (jl_typeis(GET_JULIA_OBJ(o), jl_module_type))
+        return TheTypeOfJuliaModules;
+    else
+        return TheTypeJuliaObject;
 }
 
 Obj NewJuliaObj(jl_value_t * v)
@@ -282,6 +286,7 @@ static Int InitKernel(StructInitInfo * module)
     // init filters and functions
     InitHdlrFuncsFromTable(GVarFuncs);
 
+    InitCopyGVar("TheTypeOfJuliaModules", &TheTypeOfJuliaModules);
     InitCopyGVar("TheTypeJuliaObject", &TheTypeJuliaObject);
 
     T_JULIA_OBJ = RegisterPackageTNUM("JuliaObject", JuliaObjectTypeFunc);
diff --git a/pkg/JuliaInterface/tst/utils.tst b/pkg/JuliaInterface/tst/utils.tst
index 3df6c57e1..734a06ca6 100644
--- a/pkg/JuliaInterface/tst/utils.tst
+++ b/pkg/JuliaInterface/tst/utils.tst
@@ -56,7 +56,7 @@ gap> _JuliaGetGlobalVariableByModule("Base","sqrt");
 Error, sqrt is not a module
 gap> _JuliaGetGlobalVariableByModule("sqrt","Base");
 <Julia: sqrt>
-gap> _JuliaGetGlobalVariableByModule("sqrt", JuliaPointer(Julia.Base));
+gap> _JuliaGetGlobalVariableByModule("sqrt", Julia.Base);
 <Julia: sqrt>
 
 ##
@@ -85,5 +85,15 @@ gap> path:= GetJuliaScratchspace( "test_scratch" );;
 gap> IsDirectoryPath( path );
 true
 
+# Julia modules should not get cached, see #1044
+gap> JuliaEvalString("module foo  x = 1 end");
+<Julia module Main.foo>
+gap> Julia.foo.x;
+1
+gap> JuliaEvalString("module foo  x = 2 end");
+<Julia module Main.foo>
+gap> Julia.foo.x;
+2
+
 ##
 gap> STOP_TEST( "utils.tst" );