diff --git a/powershell/ql/lib/semmle/code/powershell/ApiGraphs.qll b/powershell/ql/lib/semmle/code/powershell/ApiGraphs.qll
index 5e04b6f75795..d194fbc80cbf 100644
--- a/powershell/ql/lib/semmle/code/powershell/ApiGraphs.qll
+++ b/powershell/ql/lib/semmle/code/powershell/ApiGraphs.qll
@@ -367,9 +367,11 @@ module API {
 
     Node methodEdge(string name) { none() }
 
+    Node instanceEdge() { none() }
+
     final predicate isImplicit() { not this.isExplicit(_) }
 
-    predicate isExplicit(DataFlow::TypeNameNode typeName) { none() }
+    predicate isExplicit(DataFlow::Node node) { none() }
   }
 
   final class TypeNameNode = AbstractTypeNameNode;
@@ -392,8 +394,8 @@ module API {
       )
     }
 
-    final override predicate isExplicit(DataFlow::TypeNameNode typeName) {
-      Specific::needsExplicitTypeNameNode(typeName, prefix)
+    final override predicate isExplicit(DataFlow::Node node) {
+      Specific::needsExplicitTypeNameNode(node, prefix)
     }
   }
 
@@ -424,6 +426,26 @@ module API {
     }
   }
 
+  class NewObjectTypeNameNode extends AbstractTypeNameNode, Impl::MkNewObjectTypeNameNode {
+    NewObjectTypeNameNode() { this = Impl::MkNewObjectTypeNameNode(prefix) }
+
+    final override Node getSuccessor(string name) {
+      result = Impl::MkNewObjectTypeNameNode(prefix + "." + name)
+    }
+
+    final override Node instanceEdge() {
+      exists(DataFlow::ObjectCreationNode creation |
+        prefix = creation.getLowerCaseConstructedTypeName() and
+        Specific::needsNewObjectTypeNameNode(creation, prefix) and
+        result = getForwardStartNode(creation)
+      )
+    }
+
+    final override predicate isExplicit(DataFlow::Node node) {
+      Specific::needsNewObjectTypeNameNode(node, prefix)
+    }
+  }
+
   /**
    * An API entry point.
    *
@@ -517,6 +539,7 @@ module API {
       MkMethodAccessNode(DataFlow::CallNode call) or
       MkExplicitTypeNameNode(string prefix) { Specific::needsExplicitTypeNameNode(_, prefix) } or
       MkImplicitTypeNameNode(string prefix) { Specific::needsImplicitTypeNameNode(prefix) } or
+      MkNewObjectTypeNameNode(string prefix) { Specific::needsNewObjectTypeNameNode(_, prefix) } or
       MkForwardNode(DataFlow::LocalSourceNode node, TypeTracker t) { isReachable(node, t) } or
       /** Intermediate node for following backward data flow. */
       MkBackwardNode(DataFlow::LocalSourceNode node, TypeTracker t) { isReachable(node, t) } or
@@ -565,7 +588,7 @@ module API {
       )
       or
       exists(DataFlow::Node qualifier | pred = getForwardEndNode(getALocalSourceStrict(qualifier)) |
-        exists(CfgNodes::ExprNodes::MemberExprReadAccessCfgNode read |
+        exists(CfgNodes::ExprNodes::MemberExprCfgNode read |
           read.getQualifier() = qualifier.asExpr() and
           read.getLowerCaseMemberName() = name and
           succ = getForwardStartNode(DataFlow::exprNode(read))
@@ -678,6 +701,13 @@ module API {
       positionalParameterEdge(pred, n, succ)
     }
 
+    pragma[nomagic]
+    private DataFlow::CallNode getStaticConstructorLikeCall() {
+      exists(string type |
+        typeModel(type, type + "!", "Method[" + result.getLowerCaseName() + "].ReturnValue")
+      )
+    }
+
     cached
     predicate instanceEdge(Node pred, Node succ) {
       // TODO: Also model parameters with a given type here
@@ -685,6 +715,14 @@ module API {
         pred = getForwardEndNode(objCreation.getConstructedTypeNode()) and
         succ = getForwardStartNode(objCreation)
       )
+      or
+      exists(DataFlow::CallNode call |
+        call = getStaticConstructorLikeCall() and
+        pred = getForwardEndNode(call.getQualifier()) and
+        succ = getForwardStartNode(call)
+      )
+      or
+      pred.(TypeNameNode).instanceEdge() = succ
     }
 
     cached
diff --git a/powershell/ql/lib/semmle/code/powershell/ast/internal/ObjectCreation.qll b/powershell/ql/lib/semmle/code/powershell/ast/internal/ObjectCreation.qll
index d5a51be00a37..4deb68146d57 100644
--- a/powershell/ql/lib/semmle/code/powershell/ast/internal/ObjectCreation.qll
+++ b/powershell/ql/lib/semmle/code/powershell/ast/internal/ObjectCreation.qll
@@ -46,12 +46,11 @@ class DotNetObjectCreation extends AbstractObjectCreation, CmdCall {
 
   final override Expr getConstructedTypeExpr() {
     // Either it's the named argument `TypeName`
-    result = CmdCall.super.getNamedArgument("TypeName")
+    result = CmdCall.super.getNamedArgument("typename")
     or
     // Or it's the first positional argument if that's the named argument
-    not CmdCall.super.hasNamedArgument("TypeName") and
-    result = CmdCall.super.getPositionalArgument(0) and
-    result = CmdCall.super.getNamedArgument(["ArgumentList", "Property"])
+    not CmdCall.super.hasNamedArgument("typename") and
+    result = CmdCall.super.getPositionalArgument(0)
   }
 }
 
diff --git a/powershell/ql/lib/semmle/code/powershell/dataflow/internal/DataFlowPublic.qll b/powershell/ql/lib/semmle/code/powershell/dataflow/internal/DataFlowPublic.qll
index 3a194aada561..ed8b46891302 100644
--- a/powershell/ql/lib/semmle/code/powershell/dataflow/internal/DataFlowPublic.qll
+++ b/powershell/ql/lib/semmle/code/powershell/dataflow/internal/DataFlowPublic.qll
@@ -500,6 +500,10 @@ class ObjectCreationNode extends CallNode {
   string getAConstructedTypeName() {
     result = this.getObjectCreationNode().getAConstructedTypeName()
   }
+
+  string getLowerCaseConstructedTypeName() {
+    result = this.getObjectCreationNode().getLowerCaseConstructedTypeName()
+  }
 }
 
 /** A call, viewed as a node in a data flow graph. */
diff --git a/powershell/ql/lib/semmle/code/powershell/frameworks/data/internal/ApiGraphModelsSpecific.qll b/powershell/ql/lib/semmle/code/powershell/frameworks/data/internal/ApiGraphModelsSpecific.qll
index 58d4c8323787..cc1bec656997 100644
--- a/powershell/ql/lib/semmle/code/powershell/frameworks/data/internal/ApiGraphModelsSpecific.qll
+++ b/powershell/ql/lib/semmle/code/powershell/frameworks/data/internal/ApiGraphModelsSpecific.qll
@@ -101,6 +101,16 @@ predicate needsImplicitTypeNameNode(string component) {
   )
 }
 
+predicate needsNewObjectTypeNameNode(DataFlow::ObjectCreationNode creation, string component) {
+  creation.asExpr().getExpr() instanceof DotNetObjectCreation and
+  exists(string type, int index |
+    type = creation.getLowerCaseConstructedTypeName() and
+    index = [0 .. strictcount(type.indexOf("."))] and
+    component =
+      strictconcat(int i, string s | s = type.splitAt(".", i) and i <= index | s, "." order by i)
+  )
+}
+
 /** Gets a Powershell-specific interpretation of the given `type`. */
 API::Node getExtraNodeFromType(string rawType) {
   exists(string type, string suffix, DataFlow::TypeNameNode typeName |
diff --git a/powershell/ql/test/library-tests/dataflow/typetracking/test.expected b/powershell/ql/test/library-tests/dataflow/typetracking/test.expected
index 8748ef879ad2..e69de29bb2d1 100644
--- a/powershell/ql/test/library-tests/dataflow/typetracking/test.expected
+++ b/powershell/ql/test/library-tests/dataflow/typetracking/test.expected
@@ -1,2 +0,0 @@
-| test.ps1:15:20:15:36 | # $ type=PSObject | Missing result: type=PSObject |
-| test.ps1:19:25:19:41 | # $ type=PSObject | Missing result: type=PSObject |
diff --git a/powershell/ql/test/library-tests/dataflow/typetracking/test.ps1 b/powershell/ql/test/library-tests/dataflow/typetracking/test.ps1
index e9a36131c400..7680cbbcd083 100644
--- a/powershell/ql/test/library-tests/dataflow/typetracking/test.ps1
+++ b/powershell/ql/test/library-tests/dataflow/typetracking/test.ps1
@@ -12,8 +12,8 @@ Sink $myClass # $ type=myclass
 
 $withNamedArg = New-Object -TypeName PSObject
 
-Sink $withNamedArg # $ type=PSObject
+Sink $withNamedArg # $ type=psobject
 
 $withPositionalArg = New-Object PSObject
 
-Sink $withPositionalArg # $ type=PSObject
+Sink $withPositionalArg # $ type=psobject