diff --git a/Manuscript/rsdft-cipsi-qmc.tex b/Manuscript/rsdft-cipsi-qmc.tex
index eda5f07..296ffb5 100644
--- a/Manuscript/rsdft-cipsi-qmc.tex
+++ b/Manuscript/rsdft-cipsi-qmc.tex
@@ -116,7 +116,7 @@ to a loss of size consistency. \cite{Evangelisti_1983,Cleland_2010,Tenno_2017,Gh
 
 Another route to solve the Schr\"odinger equation is density-functional theory (DFT). \cite{Hohenberg_1964,Kohn_1999} 
 Present-day DFT calculations are almost exclusively done within the so-called Kohn-Sham (KS) formalism, \cite{Kohn_1965} which
-transfers the complexity of the many-body problem to the universal and yet unknown exchange-correlation (xc) functional thanks to a judicious mapping between a non-interacting reference system and its interacting analog which both have exactly the same one-electron density.
+transfers the complexity of the many-body problem to the universal and yet unknown exchange-correlation (xc) functional thanks to a judicious mapping between a non-interacting reference system and its interacting analog which both have the same one-electron density.
 KS-DFT \cite{Hohenberg_1964,Kohn_1965} is now the workhorse of electronic structure calculations for atoms, molecules and solids thanks to its very favorable accuracy/cost ratio. \cite{ParrBook}
 As compared to WFT, DFT has the indisputable advantage of converging much faster with respect to the size of the basis set. \cite{FraMusLupTou-JCP-15,Giner_2018,Loos_2019d,Giner_2020}
 However, unlike WFT where, for example, many-body perturbation theory provides a precious tool to go toward the exact wave function, there is no systematic way to improve approximate xc functionals toward the exact functional.
@@ -270,7 +270,7 @@ Unless otherwise stated, atomic units are used.
 %====================
 Beyond the single-determinant representation, the best
 multi-determinant wave function one can wish for --- in a given basis set --- is the FCI wave function.
-FCI is the ultimate goal of post-HF methods, and there exists several systematic
+FCI is the ultimate goal of post-HF methods, and there exist several systematic
 improvements on the path from HF to FCI:
 i) increasing the maximum degree of excitation of CI methods (CISD, CISDT,
 CISDTQ,~\ldots), or ii) expanding the size of a complete active space
@@ -845,7 +845,7 @@ In this benchmark, the great majority of the systems are weakly correlated and a
 described by a single determinant. Therefore, the atomization energies
 calculated at the KS-DFT level are relatively accurate, even when
 the basis set is small. The introduction of exact exchange (B3LYP and
-PBE) make the results more sensitive to the basis set, and reduce the
+PBE) makes the results more sensitive to the basis set, and reduce the
 accuracy.  Note that, due to the approximate nature of the xc functionals, 
 the statistical quantities associated with KS-DFT atomization energies do not converge towards zero and remain altered even in the CBS limit.
 Thanks to the single-reference character of these systems,