diff --git a/kernel/include/paging.hpp b/kernel/include/paging.hpp
index b5cecbcf..4f037326 100644
--- a/kernel/include/paging.hpp
+++ b/kernel/include/paging.hpp
@@ -48,18 +48,18 @@ constexpr const auto pdpt_entries = entries(pdpte_allocations);
 constexpr const auto pd_entries = entries(pde_allocations);
 constexpr const auto pt_entries = entries(pte_allocations);
 
-//Virtual address where the paging structures are stored
-constexpr const size_t virtual_paging_start = 0x101000;
-
-//Compute the start address of each structure
-constexpr const size_t virtual_pml4t_start = virtual_paging_start;
-constexpr const size_t virtual_pdpt_start = virtual_pml4t_start + paging::PAGE_SIZE;
-constexpr const size_t virtual_pd_start = virtual_pdpt_start + pml4_entries * paging::PAGE_SIZE;
-constexpr const size_t virtual_pt_start = virtual_pd_start + pdpt_entries * paging::PAGE_SIZE;
-
 //Compute the amount of physical memory pages needed for the paging tables
 constexpr const size_t  physical_memory_pages = 1 + pml4_entries + pdpt_entries + pd_entries;
 
+//Virtual address where the paging structures are stored
+extern size_t virtual_paging_start;
+
+//Compute the start address of each structure
+extern size_t virtual_pml4t_start;
+extern size_t virtual_pdpt_start;
+extern size_t virtual_pd_start;
+extern size_t virtual_pt_start;
+
 //Flags
 constexpr const uint8_t PRESENT = 0x1;
 constexpr const uint8_t WRITE = 0x2;
@@ -76,6 +76,7 @@ constexpr size_t page_align(size_t addr){
     return (addr / paging::PAGE_SIZE) * paging::PAGE_SIZE;
 }
 
+void early_init();
 void init();
 void finalize();
 
diff --git a/kernel/src/kernel.cpp b/kernel/src/kernel.cpp
index 30c7600f..72b6edc4 100644
--- a/kernel/src/kernel.cpp
+++ b/kernel/src/kernel.cpp
@@ -48,6 +48,9 @@ void  kernel_main(){
 
     interrupt::setup_interrupts();
 
+    //Compute virtual addresses for paging
+    paging::early_init();
+
     //Init the virtual allocator
     virtual_allocator::init();
 
diff --git a/kernel/src/paging.cpp b/kernel/src/paging.cpp
index f330a498..ac775115 100644
--- a/kernel/src/paging.cpp
+++ b/kernel/src/paging.cpp
@@ -19,6 +19,13 @@
 
 #include "fs/sysfs.hpp"
 
+size_t paging::virtual_paging_start;
+
+size_t paging::virtual_pml4t_start;
+size_t paging::virtual_pdpt_start;
+size_t paging::virtual_pd_start;
+size_t paging::virtual_pt_start;
+
 namespace {
 
 typedef uint64_t* page_entry;
@@ -49,7 +56,7 @@ constexpr size_t pt_entry(size_t virt){
     return (virt >> 12) & 0x1FF;
 }
 
-constexpr pml4t_t find_pml4t(){
+pml4t_t find_pml4t(){
     return reinterpret_cast<pml4t_t>(paging::virtual_pml4t_start);
 }
 
@@ -100,6 +107,16 @@ size_t early_map_page_clear(size_t physical){
 
 } //end of anonymous namespace
 
+void paging::early_init(){
+    paging::virtual_paging_start = 0x101000;
+
+    //Compute the start address of each structure
+    paging::virtual_pml4t_start = virtual_paging_start;
+    paging::virtual_pdpt_start = virtual_pml4t_start + paging::PAGE_SIZE;
+    paging::virtual_pd_start = virtual_pdpt_start + pml4_entries * paging::PAGE_SIZE;
+    paging::virtual_pt_start = virtual_pd_start + pdpt_entries * paging::PAGE_SIZE;
+}
+
 void paging::init(){
     //Get some physical memory
     auto physical_memory = physical_allocator::early_allocate(physical_memory_pages);
diff --git a/kernel/src/physical_allocator.cpp b/kernel/src/physical_allocator.cpp
index cbd45558..5aedff21 100644
--- a/kernel/src/physical_allocator.cpp
+++ b/kernel/src/physical_allocator.cpp
@@ -11,6 +11,7 @@
 #include "buddy_allocator.hpp"
 #include "assert.hpp"
 #include "logging.hpp"
+#include "early_memory.hpp"
 
 #include "fs/sysfs.hpp"
 
@@ -74,22 +75,34 @@ void physical_allocator::early_init(){
         k_print_line("e820 failed, no way to allocate memory");
         suspend_boot();
     }
-}
 
-size_t physical_allocator::early_allocate(size_t blocks){
-    if(!current_mmap_entry){
-        for(uint64_t i = 0; i < e820::mmap_entry_count(); ++i){
-            auto& entry = e820::mmap_entry(i);
+    bool found = false;
 
-            if(entry.type == 1 && entry.base >= 0x100000 && entry.size >= 16384){
-                current_mmap_entry = &entry;
-                current_mmap_entry_position = entry.base;
+    for(uint64_t i = 0; i < e820::mmap_entry_count(); ++i){
+        auto& entry = e820::mmap_entry(i);
 
+        if(entry.type == 1 && entry.base == kernel_address){
+            if(entry.size < kernel_mib() * 0x100000){
                 break;
             }
+
+            current_mmap_entry = &entry;
+            current_mmap_entry_position = entry.base + kernel_mib() * 0x100000;
+            allocated_memory += kernel_mib() * 0x100000;
+
+            found = true;
+
+            break;
         }
     }
 
+    if(!found){
+        k_print_line("did not find any e820 for the kernel itself");
+        suspend_boot();
+    }
+}
+
+size_t physical_allocator::early_allocate(size_t blocks){
     if(!current_mmap_entry){
         return 0;
     }
diff --git a/kernel/src/virtual_allocator.cpp b/kernel/src/virtual_allocator.cpp
index 39cee942..aae156cb 100644
--- a/kernel/src/virtual_allocator.cpp
+++ b/kernel/src/virtual_allocator.cpp
@@ -21,16 +21,17 @@
 
 namespace {
 
-constexpr const size_t virtual_start = paging::virtual_paging_start + (paging::physical_memory_pages * paging::PAGE_SIZE);
-constexpr const size_t first_virtual_address = virtual_start % 0x100000 == 0 ? virtual_start : (virtual_start / 0x100000 + 1) * 0x100000;
-constexpr const size_t last_virtual_address = virtual_allocator::kernel_virtual_size;
-constexpr const size_t managed_space = last_virtual_address - first_virtual_address;
+size_t virtual_start;
+size_t first_virtual_address;
+size_t last_virtual_address;
+size_t managed_space;
+
 constexpr const size_t unit = paging::PAGE_SIZE;
 
 size_t allocated_pages = first_virtual_address / paging::PAGE_SIZE;
 
 constexpr size_t array_size(int block){
-    return (managed_space / (block * unit) + 1) / (sizeof(uint64_t) * 8) + 1;
+    return (virtual_allocator::kernel_virtual_size / (block * unit) + 1) / (sizeof(uint64_t) * 8) + 1;
 }
 
 std::array<uint64_t, array_size(1)> data_bitmap_1;
@@ -60,6 +61,11 @@ std::string sysfs_allocated(){
 } //end of anonymous namespace
 
 void virtual_allocator::init(){
+    virtual_start = paging::virtual_paging_start + (paging::physical_memory_pages * paging::PAGE_SIZE);
+    first_virtual_address = virtual_start % 0x100000 == 0 ? virtual_start : (virtual_start / 0x100000 + 1) * 0x100000;
+    last_virtual_address = virtual_allocator::kernel_virtual_size;
+    managed_space = last_virtual_address - first_virtual_address;
+
     allocator.set_memory_range(first_virtual_address, last_virtual_address);
 
     //Give room to the bitmaps