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\date{\today} 
\subject{Supporting A Departmental Culture of Undergraduate Research}  
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\title{Supporting A Departmental Culture of Undergraduate Research}
\institute{University of Toronto, Scarborough Campus}
\date{\today}
\author{Parker Adey}

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\begin{document}

	\begin{frame}
		\maketitle
	\end{frame}

	\begin{frame}{What is Research?}

		\begin{center}
			{\Huge
			Research is the process of \rule{3cm}{0.4pt}-ing and
			\rule{3cm}{0.4pt}-ing knowledge.
			}
		\end{center}

	\end{frame}


	\begin{frame}{What is Research?}

		\begin{center}
			{\Huge
			Research is the process of \ul{creating} and\\
			\ul{disseminating} of knowledge.
			}
		\end{center}

	\end{frame}

	\begin{frame}{Two Local Initiatives to Support Undergraduate Research}
		\vspace{\stretch{1}}
		{\Huge
		\begin{itemize}
			\item MSLC Magazine / $U(T)$-Mathazine
			\item Undergraduate Seminar
		\end{itemize}
		}
		\vspace{\stretch{1}}
	\end{frame}

	\begin{frame}{MSLC Magazine / $U(T)$-Mathazine: History}

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		      \includegraphics[height=0.6\pageheight]{ASSETS/zohreh.jpg}\\
		      Zohreh Shahbazi

		    \column{0.48\textwidth}
		    	{\Large
			\begin{description}
				\item[MSLC Magazine (2016-2019)]
				\item[$U(T)$-Mathazine (2021-present)]
			\end{description}
			}

			\vspace*{2cm}

			Shahbazi, Z., \& Glynn-Adey, P. (2020). \emph{Using departmental publications to foster student creativity in mathematics.} Journal of Humanistic Mathematics, 10(2), 445-464.\\
			DOI: 10.5642/jhummath.202002.20
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			\includegraphics[height=0.85\pageheight]{ASSETS/mslc-manaal-2015.png}\\
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		\hfill -- Manaal Hussein 2015
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		      \includegraphics[width=\linewidth]{ASSETS/mslc-cover-2015.png}

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		      \includegraphics[width=\linewidth]{ASSETS/mathazine-cover-2025.png}
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	\begin{frame}{$U(T)$-Mathazine (Vol. 10) Partial Table of Contents}

		\begin{itemize}
		  \item \textit{Faulhaber Polynomials and Finite Differential Calculus}
			by Parker Adey

		  \item \textit{Nimpossible to Lose}
			by Sabine Mohamad and Sanvi Dubey

		  \item \textit{Introduction to the Mathematics of Protein Folding}
			by Elena Osipyan

		  \item \textit{How Far is a Triangle from a Circle?}
			by Haohen Li

		  \item \textit{All Stars are Easy to Draw}
			by Avery Nie

		  \item \textit{Who Was Archimedes?}
			by Trevor Cameron

		  \item \textit{Exploring the Collatz Conjecture in a Mod 10 Universe}
			by Divy Wadhwani

		  \item \textit{Switch to Enrich: Lessons from the Monty Hall Problem in Medicine}
			by Lilaani Thangavadielu

		  \item \textit{The Fourier Transform: How Shazam Works}
			by Baqer Farhan and Aaron Fossi

		  \item \textit{Fully Homomorphic Encryption Using LWE}
			by Krit Grover
		\end{itemize}
		
	\end{frame}

	\begin{frame}{The Magazine: Process}
		\vspace{\stretch{1}}
		{\Large
		\begin{itemize}
			\item Students are invited to write articles in September.
			\item Potential writers are paired with faculty mentors.
			\item First drafts are due by {\Large $\pi$} Day (March 14th).
			\item Drafts are peer-reviewed by edirotial board and past authors.
			\item The final draft is ready by early August.
		\end{itemize}	
		}
		\vspace{\stretch{1}}	
	\end{frame}

	\begin{frame}{Seminar: History}
		\vspace{\stretch{1}}
		{\Large
		\begin{itemize}
			\item MSLC Summer Seminar (circa 2019): CUMC Rehearsal.
			\item ``Titles, Abstracts, Slides, Recordings'' (2019-2022)
			\item Problem Solving Group (Summer 2023)
			\item Seminar (2024-2025)
		\end{itemize}
		}
		\vspace{\stretch{1}}
	\end{frame}

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			\includegraphics[height=0.8\pageheight]{ASSETS/yuve-talk.png}	
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	\begin{frame}{Shining a rainbow-coloured light on the fundamental theorem of algebra}
		Abstract:
		The graphs of real-valued functions on the real line are subsets of a two-dimensional space. As a result, we can sketch them on a piece of paper.
		The graphs of complex-valued functions on the complex plane, however, are subsets of a four-dimensional space. Good luck sketching that on a piece of paper.
		In this presentation, I will introduce “domain colouring”, which is a technique used to illustrate functions of the complex numbers.\\

		\vspace{0.5cm}
		
		Prerequisites: Familiarity with the concept of dimension (for a vector space) and with the complex numbers. (Basic principles only. You should know what the notation $x+iy$ means, and how to convert it to modulus-argument/polar form.) Knowledge of multivariable calculus and complex analysis is not expected.\\

		\vspace{0.5cm}

		[1] Velleman, D.J. The Fundamental Theorem of Algebra: A Visual Approach. Math Intelligencer 37, 12–21 (2015). https://doi.org/10.1007/s00283-015-9572-7.

		%%https://pgadey.ca/seminar/#july-7-yuveshen-mooroogen-shining-a-rainbow-coloured-light-on-the-fundamental-theorem-of-algebra
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	\begin{frame}{Problem Solving Group}
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	\begin{frame}{Seminar (2025/11/27)}
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	\begin{frame}{``I Solved Klotski'' by 2swap (YouTube)}
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			\includegraphics[width=0.8\pagewidth]{ASSETS/klotski.png}	
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	\begin{frame}{Knutson's Topology Problem}
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	\begin{frame}{Seminar: Process}
		\vspace{\stretch{1}}
		{\Large
		Weekly on Thursdays 10-11:00 in IA 4065.
		\begin{itemize}
			\item Make coffee and bring cookies. (Requires four or six hands.)
			\item Send e-mails about holidays, cancellations, etc.
			\item Socialize with students and encourage attendance.
		\end{itemize}
		}
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			{\Huge Thank you!}\\
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			{\Huge Questions? Comments?}
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			      $U(T)$-Mathazine Call for Submissions

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			      The slides and abstract for this talk.
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