https://tex.stackexchange.com/q/557252/35864

publistwith.tex

\documentclass{article}

\usepackage%
    [backend=biber,%
    style=publist]% 
    {biblatex}

\plauthorname[Giskard]{Reventlov}

\makeatletter
\renewbibmacro{bpl:handlenames}[1][author]{%
    \bpl@ifplauthor{\namepartgiven}{\namepartprefix}{\namepartfamily}%
       {\global\toggletrue{isplauthor}\stepcounter{pl#1}}%
       {\global\togglefalse{isplauthor}}%
    %
    % Calculate real list stop
    \ifnumless{\value{liststop}}{\value{maxnames}}
         {\setcounter{realliststop}{\theliststop}}
         {\setcounter{realliststop}{\value{minnames}}}%
    %
    % First case: plauthorhandling=highlight
    \if@hlauthor%
        % Highlight plauthor(s)
        \usebibmacro{bpl:omissiondelim}[#1]%
        \iftoggle{isplauthor}{%
            \plauthorhl{%
                \if@givenfirst% given name first
                    \ifgiveninits
                        {\ifdefvoid{\namepartgiveni}{}{\namepartgiveni\addspace}}%
                        {\ifdefvoid{\namepartgiven}{}{\namepartgiven\addspace}}%
                    \ifdefvoid{\namepartprefix}%
                        {}%
                        {\namepartprefix\addspace}%
                    \namepartfamily%
                \else% family name first
                    \ifdefvoid{\namepartprefix}%
                        {}%
                        {\namepartprefix\addspace}%
                    \namepartfamily%
                    \ifgiveninits
                        {\ifdefvoid{\namepartgiveni}{}{\addcomma\addspace\namepartgiveni\addspace}}%
                        {\ifdefvoid{\namepartgiven}{}{\addcomma\addspace\namepartgiven\isdot\addspace}}%
                \fi
            }%
            \ifnumequal{\value{listcount}}{\value{liststop}}{}{\usebibmacro{name:andothers}}%
        }{%
           \ifnumgreater{\value{listcount}}{\value{realliststop}}{}{%
             \if@givenfirst% given name first
                 \ifgiveninits
                     {\ifdefvoid{\namepartgiveni}{}{\namepartgiveni\addspace}}%
                     {\ifdefvoid{\namepartgiven}{}{\namepartgiven\addspace}}%
                 \ifdefvoid{\namepartprefix}%
                     {}%
                     {\namepartprefix\addspace}%
                 \namepartfamily%
             \else% family name first
                 \ifdefvoid{\namepartprefix}%
                       {}%
                       {\namepartprefix\addspace}%
                 \namepartfamily%
                 \ifgiveninits
                    {\ifdefvoid{\namepartgiveni}{}{\addcomma\addspace\namepartgiveni\addspace}}%
                    {\ifdefvoid{\namepartgiven}{}{\addcomma\addspace\namepartgiven\isdot\addspace}}%
             \fi
           }%
           \usebibmacro{name:andothers}%
        }%
    %
    % Second case: plauthorhandling=omit
    \else% \if@hlauthor false
        \ifthenelse{\value{listcount}=1}%
            {\ifthenelse{\value{nonpl#1s}>0}%
                 {\ifthenelse{\value{pl#1s}=0}
                    {}
                    {\bibopenparen\bibstring{with}\addspace}}%
                 {}%
             \iftoggle{isplauthor}%
                 {\global\toggletrue{plauthorprecedes}}%
                 {\global\togglefalse{plauthorprecedes}}%
            }%
            {}%
        % Exclude omitted author
        \iftoggle{isplauthor}%
            {% <- TRUE condition
              \global\toggletrue{hadplauthor}%
            }% <- end TRUE condition
            {% <- FALSE condition
              \stepcounter{nonpl#1}%
              \ifthenelse{\value{listcount}=1}%
                   {\global\togglefalse{hadplauthor}}%
                   {%
                     \iftoggle{plauthorprecedes}%
                         {}%
                         {%
                           \ifnumgreater{\value{listcount}}{\value{realliststop}}{}{%
                              \ifnumless{\value{nonpl#1}}{\value{nonpl#1s}}%
                                 {\multinamedelim}%
                                 {\printdelim[#1]{bplfinalnamedelim}}%
                            }%
                         }%
                   }%
             \ifnumgreater{\value{listcount}}{\value{realliststop}}{}{%
              \ifgiveninits
                  {\ifdefvoid{\namepartgiveni}{}{\namepartgiveni\addspace}}%
                  {\ifdefvoid{\namepartgiven}{}{\namepartgiven\addspace}}%
              \ifdefvoid{\namepartprefix}{}{\namepartprefix\addspace}%
              \global\togglefalse{plauthorprecedes}%
              \namepartfamily%
             }%
            }% <- end FALSE condition
        %
        \usebibmacro{name:andothers}%
        \ifthenelse{\value{nonpl#1s}>0\AND\value{listcount}=\value{liststop}}%
            {\ifthenelse{\value{pl#1s}=0}
               {}
               {\unspace\bibcloseparen}}%
            {}%
    \fi% end of \if@hlauthor else condition
}
\makeatother

\begin{filecontents}{\jobname.bib}
@book{appleby,
  author  = {Humphrey Appleby},
  title   = {On the Importance of the Civil Service},
  date    = {2001},
}
@book{bppleby,
  author  = {Humphrey Bppleby and Someone Else},
  title   = {On the Importance of the Civil Service},
  date    = {2002},
}
@book{cppleby,
  author  = {Humphrey Cppleby and Someone Else and A. Third Person},
  title   = {On the Importance of the Civil Service},
  date    = {2003},
}
@article{reventlov:2,
  author  = {Giskard Reventlov and Someone Else},
  title   = {Turtles},
  date    = {2012},
}
@article{reventlov:1,
  author  = {Giskard Reventlov},
  title   = {Turtles},
  date    = {2011},
}
@article{reventlov:3,
  author  = {Giskard Reventlov and Ann Uthor and Bann Tuthor},
  title   = {Turtles},
  date    = {2013},
}
\end{filecontents}
\addbibresource{\jobname.bib}

\begin{document}
\nocite{*}

%   MY ARTICLES
\printbibliography[title={Published Articles}, type=article]

%   COURSES [BOOKS] BY OTHERS
\printbibliography[title={Courses Taken}, type=book]
\end{document}

Output