Here I am maintaining two broad reading lists, that I will attempt to update every couple of weeks. In the first, I am documenting papers or texts that I am reading at the moment, that have that have stood out to me as of particular interest for one reason or another.
I might include a sentence or two indicating its particular interest to me every now and then.
In the second list, I am documenting general books I have been reading lately, and to some extent enjoyed. Again, I might include a sentence or two describing the given entry's appeal to me.
On this page I'll display the most recent updates to each of the lists, but I'll also maintain past entries on dedicated pages:
past academic lists and
past general lists.
Academic Reading List
(updated October 15th)
- Breaking the cubic barrier in the Solovay-Kitaev algorithm, G. Kuperberg. Arxiv preprint (2023). arXiv:2306.13158
- Perfect Pell Powers, J.H. Cohn. Glasgow Mathematical Journal (2009). link
- On the number of solutions of the generalized Ramanujan-Nagell equation \( D_1 x^2 + D_2^m = 2^{n + 2} \), Li Jianghua. The Ramanujan Journal (2025). link
- An Introduction to the Representation Theory of Groups, E. Kowalski. Graduate Studies in Mathmeatics 155, AMS, (2010). link
- On the the diophantine equation \( \frac{x^n - 1}{x-1} = y^q \), Y. Bugeaud, M. Mignotte, and Y. Roy. Pacific Journal of Mathematics (2000). link
- Multilinear Algebra, W. Greub. Springer-Verlag, New York, (1978). link
- Commutative Algebra with a View Towards Algebraic Geometry, D. Eisenbud. Graduate Texts in Mathematics 150, (1995). link
- The Geometry of Syzygies: A Second Course in Commutative Algebra and Algebraic Geometry, D. Eisenbud. Graduate Texts in Mathematics 229, (2005). link
- Exponential Diophantine Equations, T.N. Shorey and R. Tijdeman. Cambridge Tracts in Mathematics 87, (1986). link
- Graded Syzygies, I. Peeva. Algebra and Applications 14, (2011). link
- Deciding universality of quantum gates, G. Ivanyos. Journal of Algbera (2006). arXiv:0603009
- Universality in Quantum Computation, E. Jeandel. Automata, Languages, and Programming, ICALP (2004). link
- Criteria for universality of quantum gates, A. Sawicki and K. Karnas. Phys Rev A 95 (2017). arXiv:1610.00547
- Larsen's alternative, moments, and the monodromy of Lefshetz pencils, N.M. Katz. Contributions to Automorphic Forms, Geometry, and Number Theory (2004). link
- Fourth Moments and Larsen's Alternative, Cheng Qin. link
- Moments, Monodromy and Perversity: a Diophantine Perspective, N.M. Katz. Princeton University Press (2005). link
- Efficient Universal Quantum Compilation: An Inverse-free Solovay-Kitaev Algorithm, A. Bouland and T. Guirgica-Tiron. Arxiv preprint (2021). arXiv:2112.02040
- The Classification of Clifford Gates over Qubits, D. Grier and L. Schaeffer. Quantum (2022). arXiv:1603.03999
- Complexity Classification of Conjugated Clifford Circuits, A. Bouland, J.F. Fitzsimons, and D.E. Koh. Computational Complexity Conference (2018). arXiv:1709.01805
General Reading List
(updated October 15th)
- The Way of Shadows, by Brent Weeks
- Behave, by Robert Sapolsky
- The Sandman, by Neil Gaiman
- Americanah, by Chimamanda Ngozi Adichie