\begin{frame}[plain]
    \LARGE\textbf{Formally Verified Autonomous Hybrid Control}

    \vspace{0.2cm}

  \begin{columns}[T]
    % Left column: Contact info
    \begin{column}{0.35\textwidth}
      \normalsize Enabling Economic Viability of Next-Generation Nuclear Power

      \vspace{0.5cm}

      \large\textbf{Dane A. Sabo}\\
      \small dane.sabo@pitt.edu

      \vspace{0.5cm}

      \textbf{Advisor:}\\
      Dr. Daniel G. Cole\\
      \small dgcole@pitt.edu

      \vspace{0.5cm}

      University of Pittsburgh\\
      Department of Mechanical Engineering and Materials Science
    \end{column}

    % Right column: Mode graph
    \begin{column}{0.65\textwidth}
      \centering
      \begin{tikzpicture}[
        state/.style={circle, draw=textcolor, fill=secondary, minimum size=1.2cm},
        transition/.style={->, >=stealth, thick}
      ]

        % States arranged vertically
        \coordinate (start) at (0,1.5);
        \node[state] (s0) at (0,0) {\scriptsize MODE 5};
        \node[state] (s1) at (0,-2) {\scriptsize MODE 4};
        \node[state] (s2) at (1,-4) {\scriptsize MODE 3};
        \node[state] (s3) at (3,-5.) {\scriptsize MODE 2};
        \node[state] (s4) at (5,-6) {\scriptsize MODE 1};
        \node[state] (s5) at (3,-1.5) {\scriptsize SCRAM};

        % Transitions
      \draw[transition] (start) -- node[midway, right] {\scriptsize Start} (s0);
        \draw[transition] (s0) -- (s1);
        \draw[transition] (s1) -- (s2);
        \draw[transition] (s2) -- (s3);
        \draw[transition] (s3) -- (s4);
        \draw[transition] (s2) to[bend right] (s5);
        \draw[transition] (s1) to[bend right] (s5);
        \draw[transition] (s3) to[bend right] (s5);
        \draw[transition] (s4) to[bend right] (s5);

        \draw[transition] (s0) to[loop left] (s0);
        \draw[transition] (s1) to[loop left] (s1);
        \draw[transition] (s2) to[loop left] (s2);
        \draw[transition] (s3) to[loop below] (s3);
        \draw[transition] (s4) to[loop below] (s4);

      \end{tikzpicture}
    \end{column}
  \end{columns}

\end{frame}
