diff --git a/flox/aggregations.py b/flox/aggregations.py
index c61ef31a..19106705 100644
--- a/flox/aggregations.py
+++ b/flox/aggregations.py
@@ -10,7 +10,7 @@
 import numpy as np
 from numpy.typing import ArrayLike, DTypeLike
 
-from . import aggregate_flox, aggregate_npg, xrutils
+from . import aggregate_flox, aggregate_npg, sketches, xrutils
 from . import xrdtypes as dtypes
 
 if TYPE_CHECKING:
@@ -119,7 +119,10 @@ def _normalize_dtype(dtype: DTypeLike, array_dtype: np.dtype, fill_value=None) -
     elif not isinstance(dtype, np.dtype):
         dtype = np.dtype(dtype)
     if fill_value not in [None, dtypes.INF, dtypes.NINF, dtypes.NA]:
-        dtype = np.result_type(dtype, fill_value)
+        try:
+            dtype = np.result_type(dtype, fill_value)
+        except TypeError:
+            pass
     return dtype
 
 
@@ -567,6 +570,30 @@ def quantile_new_dims_func(q) -> tuple[Dim]:
 mode = Aggregation(name="mode", fill_value=dtypes.NA, chunk=None, combine=None)
 nanmode = Aggregation(name="nanmode", fill_value=dtypes.NA, chunk=None, combine=None)
 
+
+from crick import TDigest
+
+quantile_tdigest = Aggregation(
+    "quantile_tdigest",
+    numpy=(sketches.tdigest_aggregate,),
+    chunk=(sketches.tdigest_chunk,),
+    combine=(sketches.tdigest_combine,),
+    finalize=sketches.tdigest_aggregate,
+    fill_value=TDigest(),
+    final_dtype=np.float64,
+)
+
+nanquantile_tdigest = Aggregation(
+    "nanquantile_tdigest",
+    numpy=(sketches.tdigest_aggregate,),
+    chunk=(sketches.tdigest_chunk,),
+    combine=(sketches.tdigest_combine,),
+    finalize=sketches.tdigest_aggregate,
+    fill_value=TDigest(),
+    final_dtype=np.float64,
+)
+
+
 aggregations = {
     "any": any_,
     "all": all_,
@@ -599,6 +626,8 @@ def quantile_new_dims_func(q) -> tuple[Dim]:
     "nanquantile": nanquantile,
     "mode": mode,
     "nanmode": nanmode,
+    "quantile_tdigest": quantile_tdigest,
+    "nanquantile_tdigest": nanquantile_tdigest,
 }
 
 
diff --git a/flox/sketches.py b/flox/sketches.py
new file mode 100644
index 00000000..2f70d6c5
--- /dev/null
+++ b/flox/sketches.py
@@ -0,0 +1,42 @@
+import numpy as np
+import numpy_groupies as npg
+
+
+def tdigest_chunk(group_idx, array, *, axis=-1, size=None, fill_value=None, dtype=None, **kwargs):
+    from crick import TDigest
+
+    def _(arr):
+        digest = TDigest()
+        # we receive object arrays from numpy_groupies
+        digest.update(arr.astype(array.dtype, copy=False))
+        return digest
+
+    result = npg.aggregate_numpy.aggregate(
+        group_idx, array, func=_, size=size, fill_value=fill_value, axis=axis, dtype=object
+    )
+    return result
+
+
+def tdigest_combine(digests, axis=-1, keepdims=True):
+    from crick import TDigest
+
+    def _(arr):
+        t = TDigest()
+        t.merge(*arr)
+        return np.array([t], dtype=object)
+
+    if not isinstance(axis, tuple):
+        axis = (axis,)
+
+    # If reducing along multiple axes, we can just keep combining ;)
+    result = digests
+    for ax in axis:
+        result = np.apply_along_axis(_, ax, result)
+
+    return result
+
+
+def tdigest_aggregate(digests, q, axis=-1, keepdims=True):
+    for idx in np.ndindex(digests.shape):
+        digests[idx] = digests[idx].quantile(q)
+    return digests
diff --git a/pyproject.toml b/pyproject.toml
index d9f99cd0..512a04a3 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -120,6 +120,7 @@ exclude=["asv_bench/pkgs"]
 module=[
     "asv_runner.*",
     "cachey",
+    "crick",
     "cftime",
     "cubed.*",
     "dask.*",