diff --git a/src/Microsoft.DotNet.Interactive.PostgreSql.Tests/PostgreSqlConnectionTests.cs b/src/Microsoft.DotNet.Interactive.PostgreSql.Tests/PostgreSqlConnectionTests.cs
index 9925dad72f..bc99dc85b0 100644
--- a/src/Microsoft.DotNet.Interactive.PostgreSql.Tests/PostgreSqlConnectionTests.cs
+++ b/src/Microsoft.DotNet.Interactive.PostgreSql.Tests/PostgreSqlConnectionTests.cs
@@ -11,8 +11,10 @@
 using Microsoft.DotNet.Interactive.Events;
 using Microsoft.DotNet.Interactive.CSharp;
 using Microsoft.DotNet.Interactive.App;
+using Microsoft.DotNet.Interactive.Commands;
 using FluentAssertions;
 using Xunit;
+using System.Collections.Generic;
 
 namespace Microsoft.DotNet.Interactive.PostgreSql.Tests;
 
@@ -82,8 +84,148 @@ public async Task It_returns_error_if_query_is_not_valid()
             .Contain("column \"not_known_column\" does not exist");
     }
 
+    [PostgreSqlFact]
+    public async Task When_variable_does_not_exist_then_an_error_is_returned()
+    {
+        var connectionString = PostgreSqlFactAttribute.GetConnectionStringForTests();
+        using var kernel = CreateKernel();
+        var result = await kernel.SubmitCodeAsync(
+            $"#!connect postgres --kernel-name adventureworks \"{connectionString}\"");
+
+        result.Events
+            .Should()
+            .NotContainErrors();
+
+        var sqlKernel = kernel.FindKernelByName("sql-adventureworks");
+
+        result = await sqlKernel.SendAsync(new RequestValue("my_data_result"));
+
+        result.Events.Should()
+              .ContainSingle<CommandFailed>()
+              .Which
+              .Message
+              .Should()
+              .Contain("Value 'my_data_result' not found in kernel sql-adventureworks");
+    }
+
+    [PostgreSqlFact]
+    public async Task It_can_store_result_set_with_a_name()
+    {
+        var connectionString = PostgreSqlFactAttribute.GetConnectionStringForTests();
+        using var kernel = CreateKernel();
+        await kernel.SubmitCodeAsync(
+            $"#!connect postgres --kernel-name adventureworks \"{connectionString}\"");
+
+        await kernel.SubmitCodeAsync("""
+            #!sql-adventureworks --name my_data_result
+            SELECT * FROM customers LIMIT 10;
+            """);
+
+        var result = await kernel.SubmitCodeAsync("""
+            #!csharp
+            #!share --from sql-adventureworks my_data_result
+            my_data_result
+            """);
+
+        result.Events
+              .Should()
+              .ContainSingle<ReturnValueProduced>()
+              .Which
+              .Value
+              .Should()
+              .BeAssignableTo<IEnumerable<TabularDataResource>>()
+              .Which.Count()
+              .Should()
+              .Be(1);
+    }
+
+    [PostgreSqlFact]
+    public async Task Stored_query_results_are_listed_in_ValueInfos()
+    {
+        var connectionString = PostgreSqlFactAttribute.GetConnectionStringForTests();
+        using var kernel = CreateKernel();
+        await kernel.SubmitCodeAsync(
+            $"#!connect postgres --kernel-name adventureworks \"{connectionString}\"");
+
+        await kernel.SubmitCodeAsync("""
+            #!sql-adventureworks --name my_data_result
+            SELECT * FROM customers LIMIT 10;
+            """);
+
+        var sqlKernel = kernel.FindKernelByName("sql-adventureworks");
+
+        var result = await sqlKernel.SendAsync(new RequestValueInfos());
+
+        var valueInfos = result.Events.Should().ContainSingle<ValueInfosProduced>()
+            .Which.ValueInfos;
+
+        valueInfos.Should().Contain(v => v.Name == "my_data_result");
+    }
+
+    [PostgreSqlFact]
+    public async Task Storing_results_does_interfere_with_subsequent_executions()
+    {
+        var connectionString = PostgreSqlFactAttribute.GetConnectionStringForTests();
+        using var kernel = CreateKernel();
+        await kernel.SubmitCodeAsync(
+            $"#!connect postgres --kernel-name adventureworks \"{connectionString}\"");
+
+        await kernel.SubmitCodeAsync("""
+            #!sql-adventureworks --name my_data_result
+            SELECT * FROM customers LIMIT 10;
+            """);
+
+        var sqlKernel = kernel.FindKernelByName("sql-adventureworks");
+
+        var result = await sqlKernel.SendAsync(new RequestValueInfos());
+
+        var valueInfos = result.Events.Should().ContainSingle<ValueInfosProduced>()
+            .Which.ValueInfos;
+
+        valueInfos.Should().Contain(v => v.Name == "my_data_result");
+
+         result =  await kernel.SubmitCodeAsync("""
+            #!sql-adventureworks --name my_data_result
+            SELECT * FROM customers LIMIT 10;
+            """);
+
+         result.Events.Should().NotContainErrors();
+    }
+
+    [PostgreSqlFact]
+    public async Task It_can_store_multiple_result_set_with_a_name()
+    {
+        var connectionString = PostgreSqlFactAttribute.GetConnectionStringForTests();
+        using var kernel = CreateKernel();
+        await kernel.SubmitCodeAsync(
+            $"#!connect postgres --kernel-name adventureworks \"{connectionString}\"");
+
+        await kernel.SubmitCodeAsync("""
+            #!sql-adventureworks --name my_data_result
+            SELECT * FROM customers LIMIT 5;
+            SELECT * FROM customers LIMIT 5;
+            """);
+
+        var result = await kernel.SubmitCodeAsync("""
+            #!csharp
+            #!share --from sql-adventureworks my_data_result
+            my_data_result
+            """);
+
+        result.Events
+              .Should()
+              .ContainSingle<ReturnValueProduced>()
+              .Which
+              .Value
+              .Should()
+              .BeAssignableTo<IEnumerable<TabularDataResource>>()
+              .Which.Count()
+              .Should()
+              .Be(2);
+    }
+
     public void Dispose()
     {
         DataExplorer.ResetToDefault();
     }
-}
\ No newline at end of file
+}
diff --git a/src/Microsoft.DotNet.Interactive.PostgreSql/PostgreSqlKernel.cs b/src/Microsoft.DotNet.Interactive.PostgreSql/PostgreSqlKernel.cs
index ed23cbbbf9..e2dfd21c23 100644
--- a/src/Microsoft.DotNet.Interactive.PostgreSql/PostgreSqlKernel.cs
+++ b/src/Microsoft.DotNet.Interactive.PostgreSql/PostgreSqlKernel.cs
@@ -1,6 +1,7 @@
 // Copyright (c) .NET Foundation and contributors. All rights reserved.
 // Licensed under the MIT license. See LICENSE file in the project root for full license information.
 
+using System;
 using System.Collections.Generic;
 using System.Data;
 using System.Data.Common;
@@ -8,7 +9,11 @@
 using System.Threading.Tasks;
 using Microsoft.AspNetCore.Html;
 using Microsoft.DotNet.Interactive.Commands;
+using Microsoft.DotNet.Interactive.Directives;
+using Microsoft.DotNet.Interactive.Events;
+using Microsoft.DotNet.Interactive.Formatting;
 using Microsoft.DotNet.Interactive.Formatting.TabularData;
+using Microsoft.DotNet.Interactive.ValueSharing;
 using Npgsql;
 using Enumerable = System.Linq.Enumerable;
 
@@ -16,10 +21,13 @@ namespace Microsoft.DotNet.Interactive.PostgreSql;
 
 public class PostgreSqlKernel :
     Kernel,
-    IKernelCommandHandler<SubmitCode>
+    IKernelCommandHandler<SubmitCode>,
+    IKernelCommandHandler<RequestValue>,
+    IKernelCommandHandler<RequestValueInfos>
 {
     private readonly string _connectionString;
     private IEnumerable<IEnumerable<IEnumerable<(string name, object value)>>> _tables;
+    private readonly Dictionary<string, object> _resultSets = new(StringComparer.Ordinal);
 
     public PostgreSqlKernel(string name, string connectionString) : base(name)
     {
@@ -31,6 +39,16 @@ Query a PostgreSQL database
         _connectionString = connectionString;
     }
 
+    public override KernelSpecifierDirective KernelSpecifierDirective
+    {
+        get
+        {
+            var directive = base.KernelSpecifierDirective;
+            directive.Parameters.Add(new("--name"));
+            return directive;
+        }
+    }
+
     private DbConnection OpenConnection()
     {
         return new NpgsqlConnection(_connectionString);
@@ -40,24 +58,36 @@ async Task IKernelCommandHandler<SubmitCode>.HandleAsync(
         SubmitCode submitCode,
         KernelInvocationContext context)
     {
-        await using var connection = OpenConnection();
-        if (connection.State is not ConnectionState.Open)
+        var results = new List<TabularDataResource>();
+        try
         {
-            await connection.OpenAsync();
-        }
+            await using var connection = OpenConnection();
+            if (connection.State is not ConnectionState.Open)
+            {
+                await connection.OpenAsync();
+            }
 
-        await using var dbCommand = connection.CreateCommand();
+            await using var dbCommand = connection.CreateCommand();
 
-        dbCommand.CommandText = submitCode.Code;
+            dbCommand.CommandText = submitCode.Code;
 
-        _tables = Execute(dbCommand);
+            _tables = Execute(dbCommand);
 
-        foreach (var table in _tables)
-        {
-            var tabularDataResource = table.ToTabularDataResource();
+            foreach (var table in _tables)
+            {
+                var tabularDataResource = table.ToTabularDataResource();
 
-            var explorer = DataExplorer.CreateDefault(tabularDataResource);
-            context.Display(explorer);
+                var explorer = DataExplorer.CreateDefault(tabularDataResource);
+                context.Display(explorer);
+
+                results.Add(tabularDataResource);
+            }
+        }
+        finally
+        {
+            submitCode.Parameters.TryGetValue("--name", out var queryName);
+            string name = queryName ?? "";
+            _resultSets[name] = results;
         }
     }
 
@@ -125,4 +155,61 @@ public static void AddPostgreSqlKernelConnectorToCurrentRoot()
                 "text/html");
         }
     }
+
+    private bool TryGetValue<T>(string name, out T value)
+    {
+        if (_resultSets.TryGetValue(name, out var resultSet) &&
+            resultSet is T resultSetT)
+        {
+            value = resultSetT;
+            return true;
+        }
+
+        value = default;
+        return false;
+    }
+
+    Task IKernelCommandHandler<RequestValue>.HandleAsync(RequestValue command, KernelInvocationContext context)
+    {
+        if (TryGetValue<object>(command.Name, out var value))
+        {
+            context.Publish(new ValueProduced(
+                                value,
+                                command.Name,
+                                new FormattedValue(
+                                    command.MimeType,
+                                    value.ToDisplayString(command.MimeType)),
+                                command));
+        }
+        else
+        {
+            context.Fail(command, message: $"Value '{command.Name}' not found in kernel {Name}");
+        }
+
+        return Task.CompletedTask;
+    }
+
+    Task IKernelCommandHandler<RequestValueInfos>.HandleAsync(RequestValueInfos command, KernelInvocationContext context)
+    {
+        var valueInfos = CreateKernelValueInfos(_resultSets, command.MimeType).ToArray();
+
+        context.Publish(new ValueInfosProduced(valueInfos, command));
+
+        return Task.CompletedTask;
+
+        static IEnumerable<KernelValueInfo> CreateKernelValueInfos(IReadOnlyDictionary<string, object> source, string mimeType)
+        {
+            return source.Keys.Select(key =>
+            {
+                var formattedValues = FormattedValue.CreateSingleFromObject(
+                    source[key],
+                    mimeType);
+
+                return new KernelValueInfo(
+                    key,
+                    formattedValues,
+                    type: typeof(IEnumerable<TabularDataResource>));
+            });
+        }
+    }
 }