Teaching philosophy
Relevant links
In practice
I adopt two separate views of mathematics; the first is that when practicing mathematics, I implicitly regard mathematical objects as existing in their own right. However, when teaching mathematics, I regard math almost entirely as a cultural activity, wherein people communicate observations about patterns with one another. I believe this is an important distinction to hold while teaching, because teaching is fundamentally enabled by effective communication.
I also regard math as an incredibly creative and artistic activity. The sentiments expressed in A Mathematician's Lament capture this view in better words than I can write, by comparing the art of mathematical reasoning to the arts of music and painting.
Expository publications
I have been a part of writing a couple textbook chapters, both for graduate and undergraduate students. Writing expository work is as important to me as writing original research work, beacuse expository work is what enables others to follow in your footsteps.
G. Micheli and A.W. Murphy. Locally recoverable codes and finding good polynomials. Springer Publishing, expected 2024.
G.L. Matthews and A.W. Murphy. Cryptography, in Mathematics in Cyber Research. CRC Publishing, February 2022. Link here
Course instruction
Virginia Tech
Visiting Assistant Professor
Graduate Teacher of Record
Math 1225: Calculus of a Single Variable
Semesters: Spring 2020, Fall 2020, Summer II 2021, Fall 2021, Spring 2022.
Modalities: 2 inperson, 2 online, 1 transitioned midsemester (COVID)
Notes: 2 ESL sections, as part of the AdvantageVT Program
Math 1226: Calculus of a Single Variable
Semesters: Spring 2021.
Modalities: 1 online.
Other teaching
Virginia Tech
Tutor, Math GRE Tutor, VT PREP Program, Fall 2021
Grader, Math 2204: Introduction to Multivariable Calculus, Summer I 2020
Lab Instructor, Math 1026: Elementary Calculus, Spring 2019
Clemson University
Grader, Math 4120: Algebra I, Spring 2018
Grader, Math 3190: Introduction to Proof, Spring 2018
Teaching Assistant, Math 1080: Business Calculus II
S.U.N.Y. Geneseo
Lab Instructor, Physics 116: General Physics II Lab, Spring 2017
Lab Instructor, Physics 114: General Physics I Lab, Fall 2016
Expository talks
Highschool level
Thinking like a Mathematician, ASPIRE Program Brownbag series, Johns Hopkins Applied Physics Laboratory (July 2024).
Errorcorrecting codes, ASPIRE Program Brownbag series, Johns Hopkins Applied Physics Laboratory (July 2024).
Computational complexity, ASPIRE Program Brownbag series, Johns Hopkins Applied Physics Laboratory (July 2024).
Cryptography, ASPIRE Program Brownbag series, Johns Hopkins Applied Physics Laboratory (July 2024).
Errorcorrecting codes, ASPIRE Program Brownbag series, Johns Hopkins Applied Physics Laboratory (August 2023).
Computational complexity, ASPIRE Program Brownbag series, Johns Hopkins Applied Physics Laboratory (July 2023).
Errorcorrecting codes, ASPIRE Program Brownbag series, Johns Hopkins Applied Physics Laboratory (July 2023).
Undergraduate level
Codebased cryptography, Part III: McEliece's cryptosystem, Resilient Military Systems (QCM) Brownbag series, Johns Hopkins Applied Physics Laboratory (July 2023).
Codebased cryptography, Part II: Computational hardness, Resilient Military Systems (QCM) Brownbag series, Johns Hopkins Applied Physics Laboratory (May 2023).
Codebased cryptography, Part I: Errorcorrecting codes, Resilient Military Systems (QCM) Brownbag series, Johns Hopkins Applied Physics Laboratory (April 2023).
How to Prove (in fewer pages than Bertrand Russell) that 1 + 1 = 2, Math Club, Clemson University (September 2017).
Graduate level
Locally recoverable codes, Virginia Tech Research Day, Virginia Tech (November 2022).
Codes from the Hermitian curve (guest lecture), Mathematics 5114 (Topics in Algebra: Applied Algebra), Virginia Tech (April 2022).
Algebraic geometry codes (guest lecture), Mathematics 5114 (Topics in Algebra: Applied Algebra), Virginia Tech (April 2022).
WelchBerlekamp decoding of ReedSolomon codes, Mathematics 5114 (Topics in Algebra: Applied Algebra), Virginia Tech (February 2022).
ReedSolomon codes, Mathematics 5114 (Topics in Algebra: Applied Algebra), Virginia Tech (January 2022).
Other
Making progress on your dissertation, Mathematics Senior Graduate Teaching Assistant (SGTA) Seminar, Virginia Tech (February 2022).
Workshop: Creating your own website, Mathematics Senior Graduate Teaching Assistant (SGTA) Seminar, Virginia Tech (August 2021).
