Academic interests
General interests
I love to learn, so I spend a lot of my waking hours learning new things. In the past, I've been particularly interested in math, philosophy, logic, computing and programming, music, film, literature, and the physical sciences. These days I'm thinking more and more about the really complex, modern, society-level problems which face ordinary people. Climate change, homelessness, and education reform are a few such issues. Everyone seems to have an opinion on these issues, but there seems to be a serious knowledge gap between academic experts, policy-makers, and citizens.I would love to help reduce this gap and support real change that helps people in my communities, so I've been really interested in learning more in these areas. As such, I've started reading Grand Expectations: The United States, 1945-1974 by James Patterson (US history) and watching video lectures on money, banking, and macroeconomics. I also hope to pursue studies in public policy and organizational leadership.
Math interests
I've loved math since the third grade. Until my third year of college, this was because I was good at it and enjoyed the puzzle-solving process. Once I started taking proof-writing courses, I loved math for the same reason, but also because I genuinely found the subject matter interesting.Nowadays, I'm mostly working in applied math, particularly numerical analysis and the study of numerically approximating a solution to a partial differential equation. If you want to know more about the work I do in this field, check out my math portfolio on the Portfolio & CV page.
Philosophy interests
I got into philosophy in undergrad. The college had professors from both the analytic and continental side of the discipline, but I ended up falling pretty stably into the analytic side.Within that side, my interests are quite widespread: epistemology and metaphysics are my most explored areas, but I also love doing logic and I've really enjoyed my cursory readings in the philosophy of education. Recently, the journal Teaching Philosophy has accepted a paper I co-authored with my old logic professor on how to teach the truth table for the material conditional to introductory logic students. If you want to know more about my work in this field, check out my philosophy portfolio on the Portfolio & CV page.
Academic history
I received my high school diploma in 2019 from Berea Community High School in Berea, Kentucky. There, I took as many Honors and AP courses as I could, and I really began to develop interests in a variety of subjects, including math, English, economics, and physics. In the end, though, math was my favorite subject. I have no doubt that this was in large part because of Mrs. Linda Williams, who was always incredibly encouraging and engaging. To this day, she still comes to mind as one of the best teachers I've had, and she is the main reason I am studying math now.
Largely due to the financial aid I was provided, I ended up going to college at Kalamazoo College (K) in Kalamazoo, Michigan. In my first few terms there, I was planning on majoring in math and physics while taking German courses to fulfill the foreign language requirement. I ended up loving the German courses and professors, so I decided to major in German, too. Eventually, I lost interest in physics and replaced it with philosophy—and I haven't looked back since!
At K, I had many instructors who played pivotol roles in my life. In the German department, I owe a great deal to Dr. Kathryn Sederberg, Dr. Michael Powers, and Dr. Petra Watzke for pushing everyone to improve while maintaining a welcoming atmosphere. Along similar lines, Dr. Eric Barth and Dr. Stephen Oloo were integral in the development of my math education. Then, in philosophy, I owe more than 3/4 of my knowledge and success to Dr. Lars Enden, who is now a dear friend of mine.
List of coursework and reading
Math
Applied
Kalamazoo College
- MATH-280: Differential Equations and Numerical Methods. Instructor: Dr. Eric Barth. Text: Introduction to Ordinary Differential Equations: Analytical, Geometric, Symbolic, and Numerical Methods by Eric Barth.
- MATH-260: Applied Statistics. Instructor: Dr. Eric Nordmoe.
- MATH-362: Probability. Instructor: Dr. Brian Yu. Text: Mathematical Statistics with Applications, 8ed, by John E. Freund.
- MATH-365: Mathematical Statistics. Instructor: Dr. Eric Nordmoe. Text: Mathematical Statistics with Resampling and R, 2ed, by Laura M. Chihara and Tim C. Hesterberg.
- PHYS-151 and PHYS-152: Introductory Physics I and II. Instructor: Dr. David Wilson.
- PHYS-220: Relativity and Quantum Mechanics. Instructor: Dr. Arthur Cole.
- PHYS-370: Electronics and Electromagnetism. Instructor: Dr. Thomas Askew.
- COMP-104: Scientific Computing with Python. Instructor: Dr. Pam Cutter.
Oregon State University
- MTH-551: Numerical Linear Algebra. Instructor: Dr. Nathan Gibson. Text: Numerical Linear Algebra, 25th Anniversary Ed, by Lloyd N. Trefethen and David Bau, III.
- MTH-553: Numerical Solutions to Partial Differential Equations. Instructor: Dr. Malgorzata Peszynska. Text: Finite Difference Methods for Ordinary and Partial Differential Equations: Steady State and Time Dependent Problems by Randall J. LeVeque.
- MTH-659: Numerical Solutions to Nonlinear Coupled PDEs. Instructor: Dr. Malgorzata Peszynska.
- MTH-655: Topics in Numerical Analysis: Inverse Problems. Instructor: Dr. Nathan Gibson. Text: Computational Methods for Inverse Problems by Curtis R. Vogel.
- MTH-621: Partial Differential Equations 1. Instructor: Dr. Radu Dascaliuc. Text: Partial Differential Equations, 2ed, by Lawrence C. Evans.
- MTH-599: Mathematics of Data Science. Instructor: Dr. Nicholas Marshall. Text: Mathematics of Data Science, draft version 0.1, by A. S. Bandeira, A. Singer, and T. Strohmer.
Pure
Kalamazoo College
- MATH-310: Complex and Vector Variables. Instructor: Dr. Eric Barth. Text: Complex and Vector Variables by Dr. Eric Barth.
- MATH-320: Real Analysis I. Instructor: Dr. Stephen Oloo. Text: Understanding Analysis, 2ed, by Stephen Abbott.
- MATH-316: Topics in Number Theory. Instructor: Dr. Stephen Oloo. Text: Number Theory Through Inquiry by David C. Marshall, Edward Odell, and Michael Starbird.
- MATH-318: Topics in Topology. Instructor: Dr. Dana Hunter. Text: Introduction to Topology by Crump W. Baker.
- MATH-330: Abstract Algebra I. Instructor: Dr. Francesca Gandini. Text: Discovering Abstract Algebra by John K. Osoinach, Jr.
- MATH-430: Abstract Algebra II. Instructor: Dr. Michele Intermont. Text: Actions of Groups: A Second Course in Algebra by John McCleary.
Oregon State University
- MTH-511: Real Analysis I. Instructor: Dr. Enrique Thomann. Text: Real Analysis by N. L. Carothers.
- MTH-512: Real Analysis II. Instructor: Dr. Enrique Thomann. Text: Measure, Integration & Real Analysis by Sheldon Axler.
- MTH-611: Complex Analysis. Instructor: Dr. Axel Saenz Rodriguez. Text: Complex Analysis by Elias M. Stein and Rami Shakarchi.
- MTH-531: General Topology and Fundamental Groups I. Instructor: Dr. Bill Bogley.
- MTH-532: General Topology and Fundamental Groups II. Instructor: Dr. Chad Giusti. Text: Topology, 2ed, by James R. Munkres.
- MTH-543: Abstract Linear Algebra. Instructor: Dr. Adel Faridani. Text: Linear Algebra, 5ed, by Stephen H. Friendberg, Arnold J. Insel, and Lawrence E. Spence.
- MTH-644: Abstract Algebra I. Instructor: Dr. Thomas A. Schmidt. Text: Abstract Algebra, 3ed, by David S. Dummit and Richard M. Foote.
- MTH-664: Probability Theory. Instructor: Dr. Nicholas Marshall. Text: Probability: Theory and Examples, version 5, by Rick Durrett.
Philosophy
Metaphysics and epistemology
- SEMN-188: Imagining Possible Worlds. At Kalamazoo College, with Dr. Lars Enden. Cursory reading in modality from Andrea Borghini's A Critical Introduction to the Metaphysics of Modality. The problem of evil (such as J. L. Mackie's "Evil and Omnipotence"), free will, philosophical zombies, and brains-in-vats. I focused on the problem of evil.
- PHIL-195: Intro to Knowledge and Reality. At Kalamazoo College, with Dr. Lars Enden. Selected readings from Metaphysics and Epistemology: A Guided Anthology by Stephen Hetherington. Truth, facts, personal identity, the mind, the physical world, causality, the existence of God, skepticism, justification's relationship to knowledge, Gettier and theories of knowledge, kinds of knowledge, and rationalism vs. empiricism. Emphasis on Descartes.
- PHL-556: Minds, Brains, and Machines. At Oregon State University, with Dr. Ben Stenberg. Selected readings from Mind design III: philosophy, psychology, and artificial intelligence by John Haugeland, Carl F. Craver, and Colin Klein and The foundations of cognitive science by João Branquinho. Philosophical theories of mind—both dualist and physicalist—with an emphasis on computationalism, connectionism vs. symbolism, implications of neuroscientific results, artificial intelligence, and consciousness. I focused on the relationship that consciousness and phenomenality have to the dualism/physicalism debate.
- Immanuel Kant's Critique of Pure Reason, together with Sebastian Gardner's The Routledge Philosopher's Guidebook to Kant and the Critique of Pure Reason.
- Laurence BonJour's In Defense of Pure Reason.
Historical figures and eras
- PHIL-208: 19th Century Philosophy. At Kalamazoo College, with Dr. Chris Latiolais. Hume, Kant, Schiller, Fichte, Hegel, Marx, Kierkegaard, and Nietzsche.
- PHIL-218: Analytic Philosophy and Science. At Kalamazoo College, with Dr. Lars Enden. Frege, Russell, Moore, Ayer, Wittgenstein, Carnap, Stebbing, Quine, Kuhn, and Putnam.
- PHIL-205: Ancient Philosophy. At Kalamazoo College, with Dr. Max Cherem. Socrates, Plato, Aristotle, and Confuscious.
- Immanuel Kant's Critique of Pure Reason, together with Sebastian Gardner's The Routledge Philosopher's Guidebook to Kant and the Critique of Pure Reason.
- Exerpts from Christopher Shields's Aristotle.
Education
I have not taken a course on the philosophy of education, but my reading has included:- Some articles in the Routledge International Companion to Education, including Burbules's "Philosophy of Education," Desforges's "Learning," and McIntyre's "Has Classroom Teaching Served Its Day?"
- Many articles in the Oxford Handbook of Philosophy of Education, including Robertson's "The Epistemic Aims of Education," Brighouse's "The Moral and Political Aims of Education," Nussbaum's "Tagore, Dewey, and the Imminent Demise of Liberal Education," and Callon and Arena's "Indoctrination."
- Philosophical Theories of Education by F. Raymond McKenna.
- Excerpts from John Dewey's Democracy and Education.
Symbolic areas
- PHIL-306: Philosophy of Language. At Kalamazoo College, with Dr. Chris Latiolais. Jose Medina's Language: Key Concepts, Francois Recanati's Literal Meaning, and other selected readings. A focus on linguistic pragmatics. Speech act theory, context and interpretation, Habermas and validity claims, power dynamics, speech genre and empirical pragmatics, and the semantics/pragmatics debate.
- PHIL-214: Philosophy of Art. At Kalamazoo College, with Dr. Chris Latiolais. Demarcating art from other things, the relationship of art and beauty to experience and context, and truth in art.
- PHIL-107: Logic and Reasoning. At Kalamazoo College, with Dr. Lars Enden. Informal logic, fallacies, deduction and induction, propositional logic with truth tables, circuit diagrams, natural deduction, and predicate logic with identity.
- Mathematical Logic Through Python by Yannai A. Gonczarowski and Noam Nisan.
Math and Science
- SEMN-209: Philosophy of Science. At Kalamazoo College, with Dr. Lars Enden. The demarcation of science from pseudoscience and other kinds of inquiry, the scientific method, science and metaphysical explanation, observation and theory, theoretical entities, sexism, objectivity, and storytelling.
- Articles from Paul Benacerraf and Hilary Putnam's Philosophy of Mathematics: Selected readings. Logicism, intuitionism, formalism, mathematical entities (platonism vs. nominalism, Carnap), mathematical truth, and sets.