diff --git a/autoload/fugitive.vim b/autoload/fugitive.vim
index 08695ad..58634b4 100644
--- a/autoload/fugitive.vim
+++ b/autoload/fugitive.vim
@@ -1814,6 +1814,8 @@ function! s:ExpandVar(other, var, flags, esc, ...) abort
     let buffer = s:BufName(len(a:other) > 1 ? '#'. a:other[1:-1] : '%')
     let owner = s:Owner(buffer)
     return len(owner) ? owner : '@'
+  elseif a:other =~# '^\~[~.]$'
+    return s:Slash(getcwd())
   elseif len(a:other)
     return expand(a:other)
   elseif a:var ==# '<cfile>'
@@ -1882,13 +1884,13 @@ function! s:Expand(rev, ...) abort
     let file = a:rev
   endif
   return substitute(file,
-        \ '\(\\[' . s:fnameescape . ']\|^\\[>+-]\|!\d*\)\|' . s:expand,
+        \ '\(\\[' . s:fnameescape . ']\|^\\[>+-]\|!\d*\|^\~[~.]\)\|' . s:expand,
         \ '\=tr(s:ExpandVar(submatch(1),submatch(2),submatch(3),"", a:0 ? a:1 : getcwd()), "\1", " ")', 'g')
 endfunction
 
 function! fugitive#Expand(object) abort
   return substitute(a:object,
-        \ '\(\\[' . s:fnameescape . ']\|^\\[>+-]\|!\d*\)\|' . s:expand,
+        \ '\(\\[' . s:fnameescape . ']\|^\\[>+-]\|!\d*\|^\~[~.]\)\|' . s:expand,
         \ '\=tr(s:ExpandVar(submatch(1),submatch(2),submatch(3),submatch(5)), "\1", " ")', 'g')
 endfunction
 
@@ -1909,7 +1911,7 @@ function! s:SplitExpandChain(string, ...) abort
             \ '\=s:DotRelative(s:Slash(simplify(getcwd() . "/" . submatch(0))), cwd)', '')
     endif
     let arg = substitute(arg,
-          \ '\(' . dquote . '''\%(''''\|[^'']\)*''\|\\[' . s:fnameescape . ']\|^\\[>+-]\|!\d*\|^\~\w*\|\$\w\+\)\|' . s:expand,
+          \ '\(' . dquote . '''\%(''''\|[^'']\)*''\|\\[' . s:fnameescape . ']\|^\\[>+-]\|!\d*\|^\~[~]\|^\~\w*\|\$\w\+\)\|' . s:expand,
           \ '\=s:ExpandVar(submatch(1),submatch(2),submatch(3),submatch(5), cwd)', 'g')
     call extend(list, split(arg, "\1", 1))
     if arg ==# '--'