diff --git a/email_validator/syntax.py b/email_validator/syntax.py
index efbcd73..5d7af41 100644
--- a/email_validator/syntax.py
+++ b/email_validator/syntax.py
@@ -48,12 +48,22 @@ def split_email(email: str) -> Tuple[Optional[str], str, str, bool]:
 
     def split_string_at_unquoted_special(text: str, specials: Tuple[str, ...]) -> Tuple[str, str]:
         # Split the string at the first character in specials (an @-sign
-        # or left angle bracket) that does not occur within quotes.
+        # or left angle bracket) that does not occur within quotes and
+        # is not followed by a Unicode combining character.
+        # If no special character is found, raise an error.
         inside_quote = False
         escaped = False
         left_part = ""
-        for c in text:
-            if inside_quote:
+        for i, c in enumerate(text):
+            # < plus U+0338 (Combining Long Solidus Overlay) normalizes to
+            # ≮ U+226E (Not Less-Than), and  it would be confusing to treat
+            # the < as the start of "<email>" syntax in that case. Liekwise,
+            # if anything combines with an @ or ", we should probably not
+            # treat it as a special character.
+            if unicodedata.normalize("NFC", text[i:])[0] != c:
+                left_part += c
+
+            elif inside_quote:
                 left_part += c
                 if c == '\\' and not escaped:
                     escaped = True
@@ -72,6 +82,9 @@ def split_string_at_unquoted_special(text: str, specials: Tuple[str, ...]) -> Tu
             else:
                 left_part += c
 
+        if len(left_part) == len(text):
+            raise EmailSyntaxError("An email address must have an @-sign.")
+
         # The right part is whatever is left.
         right_part = text[len(left_part):]
 
@@ -134,6 +147,14 @@ def unquote_quoted_string(text: str) -> Tuple[str, bool]:
         # Check for other unsafe characters.
         check_unsafe_chars(display_name, allow_space=True)
 
+        # Check that the right part ends with an angle bracket
+        # but allow spaces after it, I guess.
+        if ">" not in right_part:
+            raise EmailSyntaxError("An open angle bracket at the start of the email address has to be followed by a close angle bracket at the end.")
+        right_part = right_part.rstrip(" ")
+        if right_part[-1] != ">":
+            raise EmailSyntaxError("There can't be anything after the email address.")
+
         # Remove the initial and trailing angle brackets.
         addr_spec = right_part[1:].rstrip(">")
 
diff --git a/email_validator/validate_email.py b/email_validator/validate_email.py
index 2adda2a..19db902 100644
--- a/email_validator/validate_email.py
+++ b/email_validator/validate_email.py
@@ -68,8 +68,6 @@ def validate_email(
     # part if the local part is quoted.
     display_name, local_part, domain_part, is_quoted_local_part \
         = split_email(email)
-    if display_name is not None and not allow_display_name:
-        raise EmailSyntaxError("A display name and angle brackets around the email address are not permitted here.")
 
     # Collect return values in this instance.
     ret = ValidatedEmail()
@@ -139,6 +137,11 @@ def validate_email(
     # Check the length of the address.
     validate_email_length(ret)
 
+    # Check that a display name is permitted. It's the last syntax check
+    # because we always check against optional parsing features last.
+    if display_name is not None and not allow_display_name:
+        raise EmailSyntaxError("A display name and angle brackets around the email address are not permitted here.")
+
     if check_deliverability and not test_environment:
         # Validate the email address's deliverability using DNS
         # and update the returned ValidatedEmail object with metadata.
diff --git a/tests/test_syntax.py b/tests/test_syntax.py
index 6d8dc72..d4a9844 100644
--- a/tests/test_syntax.py
+++ b/tests/test_syntax.py
@@ -352,6 +352,7 @@ def test_domain_literal() -> None:
 @pytest.mark.parametrize(
     'email_input,error_msg',
     [
+        ('hello.world', 'An email address must have an @-sign.'),
         ('my@localhost', 'The part after the @-sign is not valid. It should have a period.'),
         ('my@.leadingdot.com', 'An email address cannot have a period immediately after the @-sign.'),
         ('my@．leadingfwdot.com', 'An email address cannot have a period immediately after the @-sign.'),
@@ -413,6 +414,10 @@ def test_domain_literal() -> None:
         ('me@[untaggedtext]', 'The part after the @-sign in brackets is not an IPv4 address and has no address literal tag.'),
         ('me@[tag:invalid space]', 'The part after the @-sign contains invalid characters in brackets: SPACE.'),
         ('<me@example.com>', 'A display name and angle brackets around the email address are not permitted here.'),
+        ('<me@example.com', 'An open angle bracket at the start of the email address has to be followed by a close angle bracket at the end.'),
+        ('<me@example.com> !', 'There can\'t be anything after the email address.'),
+        ('<\u0338me@example.com', 'The email address contains invalid characters before the @-sign: \'<\'.'),
+        ('DisplayName <me@-example.com>', 'An email address cannot have a hyphen immediately after the @-sign.'),
         ('DisplayName <me@example.com>', 'A display name and angle brackets around the email address are not permitted here.'),
         ('Display Name <me@example.com>', 'A display name and angle brackets around the email address are not permitted here.'),
         ('\"Display Name\" <me@example.com>', 'A display name and angle brackets around the email address are not permitted here.'),