Serves 6 to 8
                    
                
                
                    
                        
                            - Active time:1 hr
 
                        
                            - Start to finish:3 hr
 
                        
                    
                
             
            
                
            
            
                
                
                
    
      
          
          
          
              
              
              
          
          
          
          
          
              
              
              May 2008
            
          
          
      
  
                
                
            
            
            
                Panfried eggplant, walnuts, and cheese melt into each other and make a rich filling between crisp layers of phyllo in this hearty, meatfree pie.
            
            
            
            
            
                
                    
                    
                    
                        
                            
                            
                            
                                
                                    
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                                            3 (1-lb)
                                            
                                            eggplants, peeled and cut into 1/2-inch-thick rounds
                                            
                                        
 
                                    
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                                            About 1 1/2
                                            cups
                                            olive oil, divided 
                                            
                                        
 
                                    
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                                            3
                                            
                                            medium leeks (white and pale green parts only)
                                            
                                        
 
                                    
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                                            2 
                                            cups
                                            coarsely grated graviéra or sharp white Cheddar (5 oz)
                                            
                                        
 
                                    
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                                            3/4 
                                            cup
                                            coarsely grated Kefalotyri or Pecorino Romano (2 1/2 oz)
                                            
                                        
 
                                    
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                                            1 1/2 
                                            cups
                                            walnuts (5 1/2 oz), chopped 
                                            
                                        
 
                                    
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                                            1 1/2 
                                            teaspoons
                                            ground cumin
                                            
                                        
 
                                    
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                                            20 (12-by 7-inch)
                                            
                                            phyllo sheets, thawed if frozen 
                                            
                                        
 
                                    
                                
                            
                         
                    
                 
            
            
            
            
            
            
            
            
                
                    
                    
                    
                        
                            
                                
                                
                                
                                    
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Sprinkle eggplant with 1 1/2 teaspoons salt and drain in a colander 30 minutes; pat dry. 
                                         
                                    
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Heat 3 tablespoons oil in a large nonstick skillet over medium-high heat until hot, then fry eggplant in batches, adding about 3 tablespoons oil per batch and turning once, until tender and golden brown, 5 to 7 minutes total per batch. Drain on paper towels and cool to room temperature. Wipe skillet clean.
                                         
                                    
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Preheat oven to 375ºF with rack in middle.
                                         
                                    
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Halve leeks lengthwise and thinly slice. 
Wash and drain. 
 
                                         
                                    
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Cook leeks in 2 tablespoons oil in skillet over medium heat until golden, 7 to 9 minutes. Transfer to a bowl. 
                                         
                                    
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Chop eggplant; add to leeks with cheeses, nuts, cumin, and salt and pepper to taste. 
                                         
                                    
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Trim phyllo sheets into 9-inch squares. Cover stack of phyllo with plastic wrap and a damp kitchen towel. Layer 10 sheets in a 9-inch square baking dish, lightly brushing each sheet with oil. Spread filling on top, then cover with remaining phyllo, brushing each sheet with oil.
                                         
                                    
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Cut several slits in phyllo (to vent) and bake until puffed and golden brown, 45 to 50 minutes. Let stand 10 minutes.