Lee J. Stemkoski

Diplomas/Degrees

Diplomas/Degrees

Ph.D., Dartmouth College (2006)

M.A., Dartmouth College (2003)

M.A., Boston University (2001)

B.A., Boston University (2001)

Recent Courses

Recent Courses

Abstract Algebra

Analysis

Linear Algebra

Research In Computer Science Advanced Game Development

Research In Computer Science Avanced Game Development

Research In Mathematics Complex Theory

Research In Mathematics Mathematical Logic

Research In Mathematics Non-Euclidean Geometry

Research In Mathematics Philosophy Of Mathematics

Courses Previously Taught

Courses Previously Taught

Mathematics courses:
* Calculus 1 (Differential)
* Calculus 2 (Integral)
* Calculus 3 (Multivariable)
* Differential Equations
* Linear Algebra
* Math Honors Seminar
* Proofs and Abstract Reasoning
* Geometry (Euclidean and Non-Euclidean)
* Number Theory
* Advanced Mathematical Modeling
* Mathematical Biology
* Actuarial Science
* Analysis
* Abstract Algebra 1
* Abstract Algebra 2
* Data Science
* History of Mathematics

Computer Science:
* Introduction to Video Game Programming
* Discrete Structures
* Introduction to Computer Programming (Java)
* Computer Organization and Assembly Language
* Survey of Programming Languages
* Graphical User Interface Programming
* Video Game Programming
* Computer Graphics and Image Processing
* Cryptography
* Artificial Intelligence
* Video Game Development Workshop
* Virtual and Augmented Reality

Teaching Philosophy

Teaching Philosophy

The cornerstones of my teaching philosophy consist of creating an active learning environment, cultivating a depth of understanding, helping students craft optimal learning strategies, and encouraging them to refine their knowledge in the process of helping others. For each class I teach, I distill these ideas into concise and memorable six-word phrases. This set of philosophies serves students as an academic compass: guiding them to the most beneficial mindset for our current course, and hopefully developing habits that will continue to serve them well in future courses.

These philosophies, originally conceived for mathematics students, are as follows:

• You Learn Math By Doing Math. [To learn the material, you must actively perform calculations, make deductions, and solve exercises.]

• The Answer Is Not The Goal. [You must be able to communicate the solution that leads to the answer, and understand the underlying principles and techniques well enough to adapt them to a variety of situations.]

• Always Study Strategically, Steadily, and Socially. [Create actionable plans, start work immediately and continue to work consistently, and practice communicating your understanding with others.]

• You Master Math By Teaching Math. [True understanding is attained when you can explain a topic without notes or references, spontaneously answer questions and discuss the course material, and adjust your explanations to effectively help your peers gain an understanding as well.]

Adapted for a computer science course, these philosophies are as follows:

• You Learn Programming By Writing Programs. [To learn the material, you must write many programs that accomplish tasks using a variety of approaches.]

• Write Programs That Go Beyond “Working”. [It isn't enough that software produces a desired result; it must be user-friendly, efficient, well-documented, reusable, and extendable.]

• Always Work Strategically, Steadily, and Socially. [Set well-defined deadlines with testable steps; work continuously; engage in a development community.]

• You Achieve Mastery Through Assisting Others. [You will become a better programmer if you regularly help others debug and test their software, and provide relevant and applicable feedback on their work.]

Research Interests

Research Interests

* Virtual Reality and Augmented Reality

* 3D Graphics and Image Processing

* Multimedia and Video Game Development

* History of Mathematics and Digital Archiving

* Number Theory and its Applications

Books

Books

Stemkoski, L. and Cona, J. Developing Graphics Frameworks with Java and OpenGL.
    Boca Raton, Florida: CRC Press, 2022. ISBN: 978-0367720698.

Stemkoski, L. and Pascale, M. Developing Graphics Frameworks with Python and OpenGL.
   Boca Raton, Florida: CRC Press, 2021. ISBN: 978-0367721800

Stemkoski, L. Java Game Development with LibGDX (second edition).
    New York: Apress, 2018. ISBN: 978-1484233245.

Stemkoski, L. and Leider, E. Game Development with Construct 2.
     New York: Apress, 2017. ISBN: 978-1484227831.

Chapters

Chapters

C. Lathrop and L. Stemkoski (2007). Parallels in the Work of Leonhard Euler and Thomas Clausen. In R. Bradley, L. D'Antonio, C.E. Sandifer (Eds.). Euler at 300: An Appreciation. (pp. 217-226). Washington DC: Mathematical Association of America.

D. Klyve and L. Stemkoski (2007). The Euler Archive: Giving Euler to the World. In R. Bradley, L. D'Antonio, C.E. Sandifer (Eds.). Euler at 300: An Appreciation. (pp. 33-40). Washington DC: Mathematical Association of America.

D. Klyve and L. Stemkoski (2007). Greaco-Latin Squares and a Mistaken Conjecture of Euler. In W. Dunham (Eds.). The Genius of Euler: Reflections on his Life and Work. (pp. 273-288). Washington DC: Mathematical Association of America.

Articles

Articles

Abriata, Luciano, et. al. “MoleculARweb: a Website for Chemistry and Structural Biology Education Through Interactive Augmented Reality”. Journal of Chemical Education, Volume 98, Issue 7 (2021)

Giuffre, C. and Stemkoski, L. “Virtual Temari: Artistically Inspired Mathematics”. Journal of Humanistic Mathematics, Volume 10, Issue 2 (2020)

Stemkoski, L. Introduction to JavaFX for Game Development. GameDevelopment.TutsPlus.com (2015)

Bloch, S. and Stemkoski, L. "Functional Game Programming in Java-Based CS1". Journal of Computing Sciences in Colleges, Volume 29 (2), 2013.

Klyve, D., Stemkoski, L., and Tou, E. (2011), Teaching and Research with Original Sources from the Euler Archive. Convergence, (8).

Bradley, R. and Stemkoski, L. (2011), When Nine Points are Worth But Eight: Euler's Resolution of Cramer's Paradox. Convergence, (8).

Stemkoski, L. (2010), Parameterized Knots. Loci Featured Items, (2).

Stemkoski, L. and Storm, C. (2009), Applets and Activities for Real Analysis. Loci Resources, (1).

Stemkoski, L. (2009), Teaching Time Savers: The Homework Self-Evaluation Challenge. FOCUS: The Newsletter of the Mathematical Association of America, (4), 13.

Stemkoski, L., and Tou, E. (2009), Explicit Construction of Arithmetic Lattices in SL(3,R). International Journal of Mathematics and Computer Science, (4), 53--64.

Stemkoski, L. (2009), Investigating Euler's Polyhedral Formula Using Original Sources. Convergence, (6).

Klyve, D. and Stemkoski, L. (2006), Graeco-Latin Squares and a Mistaken Conjecture of Euler. College Mathematics Journal, (1), 2--15.

Kim, P., Stemkoski, L., and C. Yuen (2001), Polynomial Knots of Degree Five. MIT Undergraduate Journal of Mathematics, (3), 125--135.

Conference Presentations

Conference Presentations

(2019) Energy, Space, and Light: The Math and Science Behind the Art. Nassau County Museum of Art (Gallery Talks), Roslyn, NY

(2019) What’s in a Game? The Art and Science of Video Games. Amity University 3Continent Lecture Series, Garden City, NY

(2018) Virtual and Augmented Reality Applications for Math Education, Contributed Paper Session, Joint Mathematics Meetings, Baltimore, MD     

(2015). Rendering Photorealistic Knots: Theory and Practice. Contributed Paper Session, Joint Mathematics Meetings. San Antonio, TX.

(2014). Leonhard Euler's Work in Number Theory and the Commentationes Arithmeticae. Pohle Colloquium, Adelphi University. Garden City, NY.

(2014). Classifying Families of Polynomial Knots. Joint Mathematics Meetings. Baltimore, MD.

(2013). The Work of Leonhard Euler related to Fermat's Last Theorem. In Joint Mathematics Meetings. San Diego, CA.

(2012). The Coeffcient Space of Polynomial Knots. In Joint Mathematics Meetings. Boston, MA.

(2011). Applications of Calculus to Game Theory: The Prisoners' Dilemma. In Joint Mathematics Meetings. New Orleans, LA.

(2010). Alternative Forms of Assessment in Mathematics. In Joint Mathematics Meetings. San Francisco, CA.

(2010). Online Articles from J.O.M.A. to Loci. In Joint Mathematics Meetings. San Francisco, CA.

(2009). Agent-Based Models of Population Segregation. In Adelphi University Faculty Works in Progress Seminar. Garden City, NY.

(2008). Analyzing Strategies for Interaction: Game Theory in a Calculus Course. In MathFest 2008. Madison, WI.

(2007). Agent-Based Models of Species Interaction and Reproduction. In Adelphi University Interdisciplinary Science Symposium. Garden City, NY.

(2007). The Unpublished Notebooks and Manuscripts of Leonhard Euler. In The Pohle Colloquium. Garden City, NY.

(2007). Cataloging and Publishing Euler's Works: A History. In MathFest 2007. San Jose, CA.

(2007). The Euler Archive: Illuminating the Life and Times of Leonhard Euler. Embassy of Switzerland, Washington D.C..

(2007). Investigating Euler's Polyhedral Formula Using Original Sources. In Joint Mathematics Meetings. New Orleans, LA.

(2006). The Fuss Index vs. the Enestrom Index: An Euler Archive Update. In Euler 2K+6. Albany, NY.

(2006). The Prisoners' Dilemma and the Evolution of Cooperation. In Norwich University Colloquium Series. Norwich, VT.

(2006). A Trace Formula for Compact Quotients of SL(3,R) and Weyl's Law. In Joint Mathematics Meetings. San Antonio, TX.

(2005). From the Riemann Zeta Function to the Selberg Trace Formula. In Middlebury College Mathematics Department Seminar. Middlebury, VT.

(2005). Simulating Evolution using the Iterated Prisoners' Dilemma. In Dartmouth College Graduate Student Seminar. Hanover, NH.

Other Work

Other Work

Book Review: "Geometry with an Introduction to Cosmic Topology" by M. Hitchman, The MAA Mathematical Sciences Digital Library, December 2009.

Book Review: "In Search of the Riemann Zeroes" by M. Lapidus, The MAA Mathematical Sciences Digital Library, June 2008.

Book Review: "The Art of Mathematics" by J. P. King, The MAA Mathematical Sciences Digital Library, January 2008.

Book Review: "The Early Mathematics of Leonhard Euler" by C. E. Sandifer, The MAA Mathematical Sciences Digital Library, March 2007.

Interviewed for "The Euler Archive: An Interview with the Founders" in FOCUS: The Newsletter of the Mathematical Association of America, January 2007

Projects Mentored

Projects Mentored

Undergraduate Research Directed:

  ¹ indicates project was basis for student's Honors College thesis

  ² indicates project was presented by students at a national conference

2023 – 2024

* “Star-Shaped Regions in Non-Euclidean Geometries”, with Matthew Klepadlo

* “Philosophy of Mathematics: Provability and Truth”, with Tori de la Hoz

* “Advanced 3D Game Development”, with Rousseau Francois, Ralph Garcia, and Larry Moreno

* “Machine Learning and Procedurally Generated Stories”, with Norah Curran ⁽¹⁾

* “Interactive Web-Based Music Applications”, with Tyler Reid

2022 – 2023

* “Procedurally Generated Music and Computer Graphics”, with Christopher Benson and Faith Mock

* “Interactive Animations for Mathematics Education”, with Faith Mock and Jarred Navarro

2021 – 2022 (none – Sabbatical Leave of Absence)

2020 – 2021

* “Computer Graphics and GPU Programming with Java”, with James Cona

2019 – 2020

* “Agent-Based Models and Genetic Algorithms”, with Jennefer Maldonado

* “Parameterizations of Fractal-like Curves”, with Vincent Schinina ⁽²⁾

* “3D Videography and Virtual Reality”, with Paul Maurantonio

* “Psychological Effects of Loot Boxes in Video Games”, with Thomas Dayton ⁽¹⁾

* “Computer Graphics and GPU Programming with Pascal”, with Michael Pascale

2018 – 2019

* "Augmented Reality: Theory and Applications", with Ryan Barrett ⁽¹⁾

* "Virtual Reality Video Game Development", with Evan Leider

* "Python Algorithms for Constructive Solid Geometry", with Bradon Cortes and Maxwell Guarnieri

2017 – 2018

* "Interactive Literature: Creation and Context", with Caitlin Lenhan ⁽¹⁾

* “Adaptive Learning Technology in Mathematics Education”, with Emily Harris ⁽¹⁾

2016 – 2017

* “Adelphi University: 3D Multiplayer Simulation”, with Mathew Mallory, Robert Monteleone, and Justin Pedowitz

2014 – 2015

* "Understanding the Fourth Spatial Dimension via Interactive Software", with Cécile Cornelus ⁽¹⁾

* "Creating a 3D Computer Graphics Engine", with Matthew Matero

2013 – 2014 (none – Sabbatical Leave of Absence)

2012 – 2013

* "Hyperbolic Geometry and the Art of M.C. Escher", with Julia Huntermark ⁽¹⁾

* "Generalized Self-Similar Curves", with Carissa Brtalik and Magdalena Mulvihill ⁽²⁾

2011 – 2012

* "Polynomial Knots", with Anthony Del Latto, Dayna Goeringer, and Steven Roveto ⁽²⁾

* "Evolution and Population Dynamics in Game Theory", with Tara Gangarossa ⁽²⁾

* "Efficiency of Algorithms for Solving Rubik's Cube with Abstract Algebra", with Nicolas Micelli ⁽²⁾

* "Hinton and the Fourth Spatial Dimension", with Samuel C. Herwood ^(1),(2)

* "Hyperbolic Curve Cryptography", with Katherine Weiss ⁽²⁾

2010 – 2011

* "Polynomial Knots of Degree Seven", with Salvatore Giunta and Kavi Gupta ⁽²⁾

* "Generalizations of the Prisoners' Dilemma", with Rachel Sherman ⁽²⁾

* "Rubik Groups of Dual Polyhedra", with Corinna Venezia ⁽²⁾

2009 – 2010

* "Telescopic Proofs and Fermat's Last Theorem", with Christopher Kirk

* "Group Structure of Rubik-like Puzzles (Octahedra)", with Shannon Zeckzer ⁽²⁾

2008 – 2009

* "Agent-Based Simulations of the Anasazi Culture", with Nicole Alves ^{(1), (2)}

* "Group Structure of Rubik-like Puzzles (Prisms)", with Jaclyn Bogensberger ^{(1), (2)}

* "Geometry of the Parameter Space of Polynomial Knots", with Adam Schoepfin⁽¹⁾

2007 – 2008

* "Game-Theoretic Agent-Based Models and Evolution of Behavioral Strategies", with Edwin Chen⁽¹⁾

* "Many-Option Games and Genetic Algorithm-Based Simulation Models of Social Interaction", with Joseph Dilallo⁽¹⁾

* "A Comparative Analysis of Traditional Economic Theory and Complexity Economics", with Akhil Ketkar ⁽¹⁾

Honors and Accomplishments

Honors and Accomplishments

Project NExT Fellow (2006--2007)

Phi Beta Kappa (The Nation's Oldest Academic Honor Society; Inducted 2001)

Pi Mu Epsilon (National Mathematics Honor Society; Inducted 2000)