diff --git a/README.md b/README.md
index fc52764..d6dbcfb 100644
--- a/README.md
+++ b/README.md
@@ -8,7 +8,7 @@ The libSTARK library implements _scalable_ and _transparent argument of knowledg
 + **scalability**: as an asymptotic function of the number of cycles (T) required by the computation whose integrity is being proved, both of the following conditions hold:
   + **prover scalability**: prover running time scales _quasi-linearly_ in T, i.e., like T poly log T.
   + **verifier scalability**: verifier running time scales _poly-logarithmically_ in T, i.e., like poly log T.
-+ **"post-quantum security"**: the cryptographic primitives that underlie the security of the system are either the existence of a family of collision resistant hash functions (for an interactive system) or common access to a random function (the "random oracle" model for a non-interactive setting); in particular, quantum computers are not known to break system security at time of writing.
++ **"post-quantum security"**: the cryptographic primitives that underlie the security of the system are either the existence of a family of collision-resistant hash functions (for an interactive system) or common access to a random function (the "random oracle" model for a non-interactive setting); in particular, quantum computers are not known to break system security at the time of writing.
 
 ## Disclaimer
 
diff --git a/algebra/FFT/src/FFT.h b/algebra/FFT/src/FFT.h
index 58d6e9a..da36d9a 100644
--- a/algebra/FFT/src/FFT.h
+++ b/algebra/FFT/src/FFT.h
@@ -31,7 +31,7 @@ typedef enum{FFT_OP,IFFT_OP} fft_operation_t;
 class FFT {
 public:
 	/*
-	 * This is the basis over which the polynomial will be evaluated, could be affine.
+	 * This is the basis over which the polynomial will be evaluated, which could be affine.
 	 */
 	Basis basis;
 	/*
@@ -65,7 +65,7 @@ class FFT {
 	 */
 	Element** exps;
 	/*
-	 * This are the subspaces needed to multiply at the WFromUV and UVFromW phases.
+	 * These are the subspaces needed to multiply at the WFromUV and UVFromW phases.
 	 */
 	Element** subspaces;
 #ifdef __GPU